
Time bar (total: 11.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 9 to 8 computations (11.1% saved)
| 443.0ms | 8 256× | 0 | valid |
ival-mult: 96.0ms (33.9% of total)ival-exp: 75.0ms (26.5% of total)ival-sub: 66.0ms (23.3% of total)ival-neg: 34.0ms (12% of total)ival-true: 5.0ms (1.8% of total)exact: 4.0ms (1.4% of total)ival-assert: 3.0ms (1.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 24.0ms | 512× | 0 | valid |
Compiled 58 to 22 computations (62.1% saved)
ival-exp: 4.0ms (29.7% of total)ival-mult: 4.0ms (29.7% of total)ival-sub: 2.0ms (14.9% of total)ival-neg: 2.0ms (14.9% 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 |
| 7 302× | lower-fma.f64 |
| 7 302× | lower-fma.f32 |
| 2 712× | lower-*.f32 |
| 2 710× | lower-*.f64 |
| 2 292× | exp-sum |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 15 |
| 1 | 30 | 13 |
| 2 | 74 | 13 |
| 3 | 156 | 13 |
| 4 | 282 | 13 |
| 5 | 410 | 13 |
| 6 | 635 | 13 |
| 7 | 968 | 13 |
| 8 | 1625 | 13 |
| 9 | 3013 | 13 |
| 10 | 6135 | 13 |
| 0 | 6 | 7 |
| 0 | 10 | 7 |
| 1 | 22 | 6 |
| 2 | 51 | 6 |
| 3 | 106 | 6 |
| 4 | 192 | 6 |
| 5 | 293 | 6 |
| 6 | 468 | 6 |
| 7 | 776 | 6 |
| 8 | 1277 | 6 |
| 9 | 2109 | 6 |
| 10 | 4291 | 6 |
| 11 | 7386 | 6 |
| 0 | 8073 | 5 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| Outputs |
|---|
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(abs x)
Compiled 8 to 6 computations (25% saved)
Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
Compiled 8 to 6 computations (25% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) | |
| cost-diff | 0 | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) | |
| cost-diff | 256 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 7 302× | lower-fma.f64 |
| 7 302× | lower-fma.f32 |
| 2 712× | lower-*.f32 |
| 2 710× | lower-*.f64 |
| 2 292× | exp-sum |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 23 |
| 0 | 10 | 23 |
| 1 | 22 | 21 |
| 2 | 51 | 21 |
| 3 | 106 | 21 |
| 4 | 192 | 21 |
| 5 | 293 | 21 |
| 6 | 468 | 21 |
| 7 | 776 | 21 |
| 8 | 1277 | 21 |
| 9 | 2109 | 21 |
| 10 | 4291 | 21 |
| 11 | 7386 | 21 |
| 0 | 8073 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 x x) |
x |
| Outputs |
|---|
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(fma.f64 x x #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 x x) |
x |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) | |
| accuracy | 0.00390625 | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 96.0ms | 256× | 0 | valid |
Compiled 25 to 8 computations (68% saved)
ival-exp: 2.0ms (31.4% of total)ival-mult: 2.0ms (31.4% of total)ival-sub: 1.0ms (15.7% of total)ival-neg: 1.0ms (15.7% 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 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt -1 (taylor 0 x) (#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (exp -1) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp -1) (* (pow x 2) (exp -1))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (pow x 2) 1)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (pow x 2) 1)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (pow x 2) 1)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (pow x 2) 1)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (pow x 2) 1)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (pow x 2) 1)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (pow x 2) 1)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (pow x 2) 1)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (neg (- 1 (* x x))) |
| 0.0ms | x | @ | 0 | (exp (neg (- 1 (* x x)))) |
| 0.0ms | x | @ | 0 | (neg (- 1 (* x x))) |
| 0.0ms | x | @ | inf | (* x x) |
| 0.0ms | x | @ | 0 | (* x x) |
| 1× | egg-herbie |
| 9 734× | lower-fma.f64 |
| 9 734× | lower-fma.f32 |
| 3 654× | lower-*.f64 |
| 3 654× | lower-*.f32 |
| 1 572× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 254 |
| 1 | 81 | 241 |
| 2 | 247 | 237 |
| 3 | 607 | 234 |
| 4 | 1355 | 234 |
| 5 | 2041 | 234 |
| 6 | 3139 | 234 |
| 7 | 5658 | 234 |
| 0 | 8384 | 211 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(exp -1) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
1 |
(+ 1 (* -1 (pow x 2))) |
(+ 1 (* -1 (pow x 2))) |
(+ 1 (* -1 (pow x 2))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
(- (pow x 2) 1) |
(fma.f64 x x #s(literal -1 binary64)) |
(- (pow x 2) 1) |
(fma.f64 x x #s(literal -1 binary64)) |
(- (pow x 2) 1) |
(fma.f64 x x #s(literal -1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(exp -1) |
(/.f64 #s(literal 1 binary64) (E.f64)) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (pow x 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+ 1 (* -1 (pow x 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+ 1 (* -1 (pow x 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* -1 (pow x 2)) |
(neg.f64 (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* -1 (pow x 2)) |
(neg.f64 (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
| 5 524× | lower-fma.f64 |
| 5 524× | lower-fma.f32 |
| 3 714× | lower-/.f64 |
| 3 714× | lower-/.f32 |
| 2 654× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 21 |
| 0 | 10 | 21 |
| 1 | 37 | 19 |
| 2 | 227 | 19 |
| 3 | 1923 | 19 |
| 0 | 9304 | 16 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
| Outputs |
|---|
(+.f64 (*.f64 x x) #s(literal -1 binary64)) |
(+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) |
(+.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 x x)) |
(+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x))) |
(+.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64)) |
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)))) |
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) |
(-.f64 (*.f64 x x) #s(literal 1 binary64)) |
(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64))) |
(-.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) |
(-.f64 #s(literal -1 binary64) (*.f64 x x)) |
(-.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))))) (/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (neg.f64 (neg.f64 (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (neg.f64 (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (neg.f64 (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)))) |
(expm1.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x)) #s(literal -1 binary64)) |
(fma.f64 x x #s(literal -1 binary64)) |
(fma.f64 x (neg.f64 x) #s(literal -1 binary64)) |
(fma.f64 x (neg.f64 (neg.f64 x)) #s(literal -1 binary64)) |
(fma.f64 x (*.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(fma.f64 x (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 x (pow.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x)) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 x) x #s(literal -1 binary64)) |
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal -1 binary64)) |
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))) #s(literal 0 binary64)) |
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (neg.f64 x)) x #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) x #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) x #s(literal -1 binary64)) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (-.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64))))) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) x #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 1 binary64)) x #s(literal -1 binary64)) |
(neg.f64 (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))))) |
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(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 x (neg.f64 (neg.f64 x))) |
(*.f64 x (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 x (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64))) |
(*.f64 x (pow.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (neg.f64 (neg.f64 x)) x) |
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) x) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) x) |
(*.f64 (pow.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 1 binary64)) x) |
Compiled 16 958 to 1 785 computations (89.5% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 541 | 7 | 548 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 542 | 7 | 549 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
| 69.9% | (exp.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x x #s(literal 1 binary64)))) | |
| 63.1% | (exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) | |
| ▶ | 45.5% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) |
| ▶ | 92.2% | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) |
| ▶ | 89.9% | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) |
| ▶ | 75.8% | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))) |
Compiled 164 to 98 computations (40.2% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (E.f64) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (E.f64)) | |
| cost-diff | 0 | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (E.f64) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (E.f64)) | |
| cost-diff | 0 | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (E.f64) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (E.f64)) | |
| cost-diff | 0 | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))) | |
| cost-diff | 0 | (E.f64) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (E.f64)) | |
| cost-diff | 0 | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) | |
| cost-diff | 0 | (fma.f64 x x #s(literal -1 binary64)) | |
| cost-diff | 0 | (exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
| 20 468× | lower-fma.f32 |
| 20 454× | lower-fma.f64 |
| 4 420× | lower-*.f32 |
| 4 406× | lower-*.f64 |
| 1 514× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 232 |
| 0 | 52 | 222 |
| 1 | 124 | 193 |
| 2 | 298 | 193 |
| 3 | 698 | 193 |
| 4 | 1860 | 193 |
| 5 | 5331 | 193 |
| 0 | 8097 | 189 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) |
(/.f64 #s(literal 1 binary64) (E.f64)) |
#s(literal 1 binary64) |
(E.f64) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (E.f64)) |
#s(literal 1 binary64) |
(E.f64) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (E.f64)) |
#s(literal 1 binary64) |
(E.f64) |
(fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) |
x |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (E.f64)) |
#s(literal 1 binary64) |
(E.f64) |
(fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) |
x |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(*.f64 x x) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
(*.f64 x (*.f64 x x)) |
| Outputs |
|---|
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) |
(/.f64 #s(literal 1 binary64) (E.f64)) |
#s(literal 1 binary64) |
(E.f64) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(/.f64 #s(literal 1 binary64) (E.f64)) |
#s(literal 1 binary64) |
(E.f64) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) |
(/.f64 (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)) |
(/.f64 #s(literal 1 binary64) (E.f64)) |
#s(literal 1 binary64) |
(E.f64) |
(fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) |
x |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))) |
(/.f64 (fma.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64)) |
(/.f64 #s(literal 1 binary64) (E.f64)) |
#s(literal 1 binary64) |
(E.f64) |
(fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) |
x |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x x) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
(*.f64 x (*.f64 x x)) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.046875 | (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))) | |
| accuracy | 0.0546875 | (*.f64 x (*.f64 x x)) | |
| accuracy | 0.1015625 | (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 4.964688418855765 | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) | |
| accuracy | 0.03125 | (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) | |
| accuracy | 0.03125 | (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) | |
| accuracy | 0.26019662168502594 | (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) | |
| accuracy | 6.644373730276713 | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) (E.f64)) | |
| accuracy | 0 | (E.f64) | |
| accuracy | 0.1015625 | (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))) | |
| accuracy | 15.499124446383064 | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) (E.f64)) | |
| accuracy | 0 | (E.f64) | |
| accuracy | 34.85641862786942 | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) | |
| accuracy | 0 | (fma.f64 x x #s(literal -1 binary64)) | |
| accuracy | 0.00390625 | (exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
| 55.0ms | 256× | 0 | valid |
Compiled 202 to 32 computations (84.2% saved)
ival-mult: 18.0ms (45.1% of total)ival-add: 8.0ms (20.1% of total)ival-exp: 4.0ms (10% of total)const: 4.0ms (10% of total)ival-div: 2.0ms (5% of total)ival-e: 2.0ms (5% of total)ival-sub: 1.0ms (2.5% of total)ival-neg: 1.0ms (2.5% 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 (exp.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) (patch #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (E.f64)) (patch (/.f64 #s(literal 1 binary64) (E.f64)) #<representation binary64>) () ()) |
#s(alt (E.f64) (patch (E.f64) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))) (patch #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) (patch #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) (patch #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (patch (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (patch (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (exp -1) (taylor 0 x) (#s(alt (exp.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp -1) (* (pow x 2) (exp -1))) (taylor 0 x) (#s(alt (exp.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) (taylor 0 x) (#s(alt (exp.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) (taylor 0 x) (#s(alt (exp.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (pow x 2) 1)) (taylor inf x) (#s(alt (exp.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (pow x 2) 1)) (taylor inf x) (#s(alt (exp.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (exp (- (pow x 2) 1)) (taylor inf x) (#s(alt #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) (patch #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (pow x 2) 1)) (taylor -inf x) (#s(alt #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) (patch #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (pow x 2) 1)) (taylor -inf x) (#s(alt #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) (patch #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (pow x 2) 1)) (taylor -inf x) (#s(alt #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) (patch #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (pow x 2) 1)) (taylor -inf x) (#s(alt #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) (patch #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (patch (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/2 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (patch (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/2 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (patch (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/2 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (patch (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow x 3)) (taylor inf x) (#s(alt (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (patch (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1/2 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (patch (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1/2 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (patch (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1/2 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (patch (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow x 3)) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (patch (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (patch (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (patch (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (patch (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (patch (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (patch (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (patch (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (patch (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow x 4)) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (patch (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/2 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (patch (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (patch (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (patch (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (patch (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (patch (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (patch (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (patch (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1/2 (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* 1/6 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* 1/6 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* 1/6 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) |
| 1.0ms | x | @ | 0 | (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) |
| 0.0ms | x | @ | inf | (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) |
| 0.0ms | x | @ | inf | (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) |
| 0.0ms | x | @ | inf | (+ (* x (* x (* x 1/2))) x) |
| 1× | egg-herbie |
| 18 504× | lower-fma.f64 |
| 18 504× | lower-fma.f32 |
| 3 956× | lower-*.f64 |
| 3 956× | lower-*.f32 |
| 2 952× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 1330 |
| 1 | 299 | 1260 |
| 2 | 826 | 1184 |
| 3 | 1947 | 1148 |
| 4 | 4918 | 1142 |
| 5 | 6519 | 1142 |
| 0 | 8173 | 988 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(exp -1) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
-1 |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(exp -1) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(/ 1 (E)) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(/ (pow x 2) (E)) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(/ (pow x 2) (E)) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(exp -1) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(/ 1 (E)) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E))) |
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E))) |
(* 1/2 (/ (pow x 4) (E))) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E)))))) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E)))))) |
(* 1/2 (/ (pow x 4) (E))) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E)))))) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E)))))) |
(exp -1) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(/ 1 (E)) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E))) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E))) |
(* 1/6 (/ (pow x 6) (E))) |
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E)))))) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E))))))) |
(* 1/6 (/ (pow x 6) (E))) |
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E)))))) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E))))))) |
(exp -1) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
x |
(* x (+ 1 (* 1/2 (pow x 2)))) |
(* x (+ 1 (* 1/2 (pow x 2)))) |
(* x (+ 1 (* 1/2 (pow x 2)))) |
(* 1/2 (pow x 3)) |
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2)))) |
(* 1/2 (pow x 3)) |
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2)))) |
1 |
(+ 1 (pow x 2)) |
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2))))) |
(* 1/2 (pow x 4)) |
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))) |
(* 1/2 (pow x 4)) |
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))) |
1/2 |
(+ 1/2 (* 1/6 (pow x 2))) |
(+ 1/2 (* 1/6 (pow x 2))) |
(+ 1/2 (* 1/6 (pow x 2))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
| Outputs |
|---|
(exp -1) |
(/.f64 #s(literal 1 binary64) (E.f64)) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(/.f64 (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (pow x 2) 1) |
(fma.f64 x x #s(literal -1 binary64)) |
(- (pow x 2) 1) |
(fma.f64 x x #s(literal -1 binary64)) |
(- (pow x 2) 1) |
(fma.f64 x x #s(literal -1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(exp -1) |
(/.f64 #s(literal 1 binary64) (E.f64)) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(/.f64 (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(/ 1 (E)) |
(/.f64 #s(literal 1 binary64) (E.f64)) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(/ (pow x 2) (E)) |
(/.f64 (*.f64 x x) (E.f64)) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(/ (pow x 2) (E)) |
(/.f64 (*.f64 x x) (E.f64)) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(exp -1) |
(/.f64 #s(literal 1 binary64) (E.f64)) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(/.f64 (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(/ 1 (E)) |
(/.f64 #s(literal 1 binary64) (E.f64)) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E))) |
(/.f64 (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E))) |
(/.f64 (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)) |
(* 1/2 (/ (pow x 4) (E))) |
(*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (E.f64))) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) |
(*.f64 x (/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (E.f64))) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E)))))) |
(/.f64 (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E)))))) |
(/.f64 (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)) |
(* 1/2 (/ (pow x 4) (E))) |
(*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (E.f64))) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) |
(*.f64 x (/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (E.f64))) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E)))))) |
(/.f64 (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E)))))) |
(/.f64 (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)) |
(exp -1) |
(/.f64 #s(literal 1 binary64) (E.f64)) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(/.f64 (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(/ 1 (E)) |
(/.f64 #s(literal 1 binary64) (E.f64)) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E))) |
(/.f64 (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(* 1/6 (/ (pow x 6) (E))) |
(*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64))) |
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E)))))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (E.f64)))) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) |
(*.f64 x (*.f64 x (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(* 1/6 (/ (pow x 6) (E))) |
(*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64))) |
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E)))))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (E.f64)))) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) |
(*.f64 x (*.f64 x (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(exp -1) |
(/.f64 #s(literal 1 binary64) (E.f64)) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(/.f64 (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
x |
(* x (+ 1 (* 1/2 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) |
(* x (+ 1 (* 1/2 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) |
(* x (+ 1 (* 1/2 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) |
(* 1/2 (pow x 3)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) |
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) |
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) |
(* 1/2 (pow x 3)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) |
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) |
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow x 2)) |
(fma.f64 x x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2))))) |
(fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2))))) |
(fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) |
(* 1/2 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)) |
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))) |
(fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) |
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))) |
(fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) |
(* 1/2 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)) |
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))) |
(fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) |
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))) |
(fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
| 5 174× | lower-fma.f32 |
| 5 160× | lower-fma.f64 |
| 4 588× | lower-/.f32 |
| 4 586× | lower-/.f64 |
| 4 266× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 164 |
| 0 | 52 | 158 |
| 1 | 227 | 132 |
| 2 | 1784 | 132 |
| 0 | 8331 | 128 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(fma.f64 x x #s(literal -1 binary64)) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) |
(/.f64 #s(literal 1 binary64) (E.f64)) |
(E.f64) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) |
(fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(*.f64 x (*.f64 x x)) |
| Outputs |
|---|
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (E.f64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (exp.f64 (neg.f64 (*.f64 x x)))) |
(/.f64 (exp.f64 (*.f64 x x)) (E.f64)) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 x x)))) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) x) (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 (exp.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) |
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))) (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))))) |
(pow.f64 (exp.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
(pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(*.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(*.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (exp.f64 (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (pow.f64 (exp.f64 (neg.f64 (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (exp.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (exp.f64 (neg.f64 (neg.f64 (*.f64 x x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (exp.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x))))) |
(*.f64 (exp.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) (E.f64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (neg.f64 (*.f64 x x)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) x) (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (neg.f64 (*.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (/.f64 #s(literal -1 binary64) (E.f64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (exp.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (exp.f64 #s(literal -1/3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(+.f64 #s(literal -1 binary64) (*.f64 x x)) |
(+.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64))) |
(+.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 x x)))) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x)))) |
(+.f64 (*.f64 x x) #s(literal -1 binary64)) |
(+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) |
(-.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x))) |
(-.f64 (*.f64 x x) #s(literal 1 binary64)) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(expm1.f64 (log.f64 (*.f64 x x))) |
(fma.f64 x x #s(literal -1 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal -1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal -1 binary64)) |
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 3/2 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (*.f64 x (*.f64 x x)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
Compiled 34 440 to 2 677 computations (92.2% saved)
24 alts after pruning (23 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 276 | 23 | 1 299 |
| Fresh | 2 | 0 | 2 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 282 | 24 | 1 306 |
| Status | Accuracy | Program |
|---|---|---|
| 63.1% | (exp.f64 #s(approx (+ (* x x) -1) (*.f64 x x))) | |
| 89.9% | #s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64))) | |
| 75.8% | #s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) | |
| 92.2% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x)) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))) | |
| 89.9% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))) | |
| 75.8% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))) | |
| ▶ | 92.2% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64))) |
| 75.8% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (+.f64 (E.f64) (*.f64 (E.f64) (*.f64 x x))) (*.f64 (E.f64) (E.f64)))) | |
| 49.4% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (*.f64 (fma.f64 x (*.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (*.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal -1 binary64)) (E.f64)))) | |
| 75.8% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))) | |
| ✓ | 45.5% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) |
| ▶ | 75.8% | #s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64)))) |
| ▶ | 75.1% | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))) (fma.f64 x x #s(literal 1 binary64)))) |
| 89.9% | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x x #s(literal 1 binary64))))) | |
| 92.2% | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) | |
| 62.1% | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) | |
| 62.1% | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) | |
| 89.9% | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64)))) | |
| ▶ | 48.9% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64))))) |
| 49.0% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (E.f64)))))) | |
| 49.3% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 x (*.f64 x (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))))) | |
| 46.7% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (E.f64))))) | |
| 46.5% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (E.f64))))) | |
| ▶ | 33.3% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64)))) |
Compiled 829 to 438 computations (47.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))) | |
| cost-diff | 0 | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))) (fma.f64 x x #s(literal 1 binary64)))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))) (fma.f64 x x #s(literal 1 binary64))) | |
| cost-diff | 1600 | (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64))) | |
| cost-diff | 0 | #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)))) | |
| cost-diff | 0 | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64))))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 (*.f64 x x) (E.f64)) | |
| cost-diff | 0 | #s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64)))) | |
| cost-diff | 832 | (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 (*.f64 x x) (E.f64)) | |
| cost-diff | 0 | #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64))) | |
| cost-diff | 0 | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64)))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) | |
| cost-diff | 0 | (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64)) | |
| cost-diff | 0 | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64))) |
| 16 980× | lower-fma.f32 |
| 16 972× | lower-fma.f64 |
| 3 972× | lower-*.f32 |
| 3 958× | lower-*.f64 |
| 2 940× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 364 |
| 0 | 72 | 320 |
| 1 | 148 | 288 |
| 2 | 359 | 278 |
| 3 | 1039 | 272 |
| 4 | 3312 | 272 |
| 0 | 8176 | 267 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64))) |
(/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64)) |
(fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) |
x |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(*.f64 x x) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
(*.f64 x (*.f64 x x)) |
#s(literal 1 binary64) |
(E.f64) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64)))) |
#s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64))) |
(/.f64 (*.f64 x x) (E.f64)) |
(*.f64 x x) |
x |
(E.f64) |
#s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64)))) |
(-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64))) |
(/.f64 (*.f64 x x) (E.f64)) |
(*.f64 x x) |
x |
(E.f64) |
(/.f64 #s(literal -1 binary64) (E.f64)) |
#s(literal -1 binary64) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64))))) |
#s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)))) |
(*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64))) |
(*.f64 x x) |
x |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
#s(literal 1/6 binary64) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
(E.f64) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))) (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))) |
#s(literal 1 binary64) |
(*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))) |
(sqrt.f64 (E.f64)) |
(E.f64) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
| Outputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64))) |
(/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64)) |
(/.f64 (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)) |
(fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) |
x |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x x) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
(*.f64 x (*.f64 x x)) |
#s(literal 1 binary64) |
(E.f64) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64)))) |
#s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64))) |
(/.f64 (*.f64 x x) (E.f64)) |
(*.f64 x x) |
x |
(E.f64) |
#s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(/.f64 (*.f64 x x) (E.f64)) |
(*.f64 x x) |
x |
(E.f64) |
(/.f64 #s(literal -1 binary64) (E.f64)) |
#s(literal -1 binary64) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x (*.f64 x x)) (E.f64)))))) |
#s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)))) |
#s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x (*.f64 x x)) (E.f64))))) |
(*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x (*.f64 x x)) (E.f64)))) |
(*.f64 x x) |
x |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x (*.f64 x x)) (E.f64)))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
#s(literal 1/6 binary64) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
(E.f64) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))) (fma.f64 x x #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))) |
(/.f64 #s(literal 1 binary64) (E.f64)) |
#s(literal 1 binary64) |
(*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))) |
(E.f64) |
(sqrt.f64 (E.f64)) |
(E.f64) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (E.f64) | |
| accuracy | 0.1015625 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))) (fma.f64 x x #s(literal 1 binary64))) | |
| accuracy | 1.0 | (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))) | |
| accuracy | 15.499124446383064 | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))) (fma.f64 x x #s(literal 1 binary64)))) | |
| accuracy | 0.2695352069175856 | (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) | |
| accuracy | 0.27631054449230563 | (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| accuracy | 4.964688418855765 | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64))))) | |
| accuracy | 27.94250974531255 | #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)))) | |
| accuracy | 0 | (E.f64) | |
| accuracy | 0.0078125 | (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64))) | |
| accuracy | 0.17025375976844204 | (/.f64 (*.f64 x x) (E.f64)) | |
| accuracy | 15.499124446383064 | #s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64)))) | |
| accuracy | 0 | (E.f64) | |
| accuracy | 0.17025375976844204 | (/.f64 (*.f64 x x) (E.f64)) | |
| accuracy | 15.499124446383064 | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64)))) | |
| accuracy | 27.708142422585233 | #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64))) | |
| accuracy | 0.0546875 | (/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64)) | |
| accuracy | 0.0546875 | (*.f64 x (*.f64 x x)) | |
| accuracy | 0.1015625 | (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 4.964688418855765 | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64))) |
| 61.0ms | 256× | 0 | valid |
Compiled 265 to 35 computations (86.8% saved)
ival-mult: 16.0ms (36.6% of total)ival-div: 8.0ms (18.3% of total)ival-add: 4.0ms (9.1% of total)ival-e: 3.0ms (6.9% of total)const: 3.0ms (6.9% of total)ival-exp: 2.0ms (4.6% of total)ival-sub: 2.0ms (4.6% of total)ival-sqrt: 2.0ms (4.6% of total)ival-neg: 1.0ms (2.3% 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 #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64))) (patch #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64)) (patch (/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (patch (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64)))) (patch #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64))) (patch #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x x) (E.f64)) (patch (/.f64 (*.f64 x x) (E.f64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64))) (patch (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64))) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64)))) (patch #s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64))))) (patch #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)))) (patch #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64))) (patch (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))) (patch (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))) (fma.f64 x x #s(literal 1 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))) (fma.f64 x x #s(literal 1 binary64)))) (patch #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))) (fma.f64 x x #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (E.f64) (patch (E.f64) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (patch (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) (patch (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (exp -1) (taylor 0 x) (#s(alt #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64))) (patch #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp -1) (* (pow x 2) (exp -1))) (taylor 0 x) (#s(alt #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64))) (patch #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) (taylor 0 x) (#s(alt #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64))) (patch #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64))) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/6 (pow x 4)) (taylor inf x) (#s(alt (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (patch (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow x 4)) (taylor inf x) (#s(alt (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (patch (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (patch (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (patch (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (patch (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (patch (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (/ (pow x 4) (E))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) (patch (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (/ (pow x 4) (E))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) (patch (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (/ (pow x 4) (E))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) (patch (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (/ (pow x 4) (E))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) (patch (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (/ (pow x 4) (E))) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) (patch (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (/ (pow x 4) (E))) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) (patch (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (/ (pow x 4) (E))) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) (patch (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (/ (pow x 4) (E))) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) (patch (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (/ (pow x 4) (E))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) (patch (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (/ (pow x 4) (E))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) (patch (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (/ (pow x 4) (E))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) (patch (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (/ (pow x 4) (E))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) (patch (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) #<representation binary64>) () ())) ()) |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | x | @ | 0 | (/ (* 1/6 (* x (* x (* x x)))) (E)) |
| 1.0ms | x | @ | 0 | (* (* x x) (/ (* 1/6 (* x (* x (* x x)))) (E))) |
| 0.0ms | x | @ | inf | (* (* x x) (/ (* 1/6 (* x (* x (* x x)))) (E))) |
| 0.0ms | x | @ | inf | (/ (* x x) (E)) |
| 0.0ms | x | @ | 0 | (* 1/6 (* x (* x (* x x)))) |
| 1× | egg-herbie |
| 16 140× | lower-fma.f64 |
| 16 140× | lower-fma.f32 |
| 4 558× | lower-*.f64 |
| 4 558× | lower-*.f32 |
| 2 044× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 1889 |
| 1 | 338 | 1835 |
| 2 | 967 | 1739 |
| 3 | 2376 | 1709 |
| 4 | 4929 | 1697 |
| 5 | 6892 | 1697 |
| 0 | 8560 | 1540 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(exp -1) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(/ 1 (E)) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E))) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E))) |
(* 1/6 (/ (pow x 6) (E))) |
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E)))))) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E))))))) |
(* 1/6 (/ (pow x 6) (E))) |
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E)))))) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E))))))) |
1 |
(+ 1 (pow x 2)) |
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))))) |
(* 1/6 (pow x 6)) |
(* (pow x 6) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6)))))) |
(* 1/6 (pow x 6)) |
(* (pow x 6) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6)))))) |
x |
(* x (+ 1 (* 1/2 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))) |
(* 1/6 (pow x 5)) |
(* (pow x 5) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/6 (pow x 5)) |
(* (pow x 5) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/6))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/6))) |
(exp -1) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(/ 1 (E)) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(/ (pow x 2) (E)) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(/ (pow x 2) (E)) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(/ (pow x 2) (E)) |
(/ (pow x 2) (E)) |
(/ (pow x 2) (E)) |
(/ (pow x 2) (E)) |
(/ (pow x 2) (E)) |
(/ (pow x 2) (E)) |
(/ (pow x 2) (E)) |
(/ (pow x 2) (E)) |
(/ (pow x 2) (E)) |
(/ (pow x 2) (E)) |
(/ (pow x 2) (E)) |
(/ (pow x 2) (E)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ 1 (E)) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(/ (pow x 2) (E)) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(/ (pow x 2) (E)) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(exp -1) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp -1) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(/ 1 (E)) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E))) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E))) |
(* 1/6 (/ (pow x 6) (E))) |
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E)))))) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E))))))) |
(* 1/6 (/ (pow x 6) (E))) |
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E)))))) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E))))))) |
(* 1/6 (/ (pow x 6) (E))) |
(* 1/6 (/ (pow x 6) (E))) |
(* 1/6 (/ (pow x 6) (E))) |
(* 1/6 (/ (pow x 6) (E))) |
(* 1/6 (/ (pow x 6) (E))) |
(* 1/6 (/ (pow x 6) (E))) |
(* 1/6 (/ (pow x 6) (E))) |
(* 1/6 (/ (pow x 6) (E))) |
(* 1/6 (/ (pow x 6) (E))) |
(* 1/6 (/ (pow x 6) (E))) |
(* 1/6 (/ (pow x 6) (E))) |
(* 1/6 (/ (pow x 6) (E))) |
(/ 1 (E)) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(/ (pow x 2) (E)) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(/ (pow x 2) (E)) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(exp -1) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
1/2 |
(+ 1/2 (* 1/6 (pow x 2))) |
(+ 1/2 (* 1/6 (pow x 2))) |
(+ 1/2 (* 1/6 (pow x 2))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 1/6 (pow x 4)) |
(* 1/6 (pow x 4)) |
(* 1/6 (pow x 4)) |
(* 1/6 (pow x 4)) |
(* 1/6 (pow x 4)) |
(* 1/6 (pow x 4)) |
(* 1/6 (pow x 4)) |
(* 1/6 (pow x 4)) |
(* 1/6 (pow x 4)) |
(* 1/6 (pow x 4)) |
(* 1/6 (pow x 4)) |
(* 1/6 (pow x 4)) |
(* 1/6 (/ (pow x 4) (E))) |
(* 1/6 (/ (pow x 4) (E))) |
(* 1/6 (/ (pow x 4) (E))) |
(* 1/6 (/ (pow x 4) (E))) |
(* 1/6 (/ (pow x 4) (E))) |
(* 1/6 (/ (pow x 4) (E))) |
(* 1/6 (/ (pow x 4) (E))) |
(* 1/6 (/ (pow x 4) (E))) |
(* 1/6 (/ (pow x 4) (E))) |
(* 1/6 (/ (pow x 4) (E))) |
(* 1/6 (/ (pow x 4) (E))) |
(* 1/6 (/ (pow x 4) (E))) |
| Outputs |
|---|
(exp -1) |
(/.f64 #s(literal 1 binary64) (E.f64)) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (E.f64)) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(/ 1 (E)) |
(/.f64 #s(literal 1 binary64) (E.f64)) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E))) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (E.f64)) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(* 1/6 (/ (pow x 6) (E))) |
(/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (E.f64)) |
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E)))))) |
(/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (E.f64)) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) |
(*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)))) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E))))))) |
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(* 1/6 (/ (pow x 6) (E))) |
(/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (E.f64)) |
(* 1/6 (/ (pow x 6) (E))) |
(/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (E.f64)) |
(* 1/6 (/ (pow x 6) (E))) |
(/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (E.f64)) |
(* 1/6 (/ (pow x 6) (E))) |
(/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (E.f64)) |
(* 1/6 (/ (pow x 6) (E))) |
(/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (E.f64)) |
(/ 1 (E)) |
(/.f64 #s(literal 1 binary64) (E.f64)) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(/ (pow x 2) (E)) |
(/.f64 (*.f64 x x) (E.f64)) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(/ (pow x 2) (E)) |
(/.f64 (*.f64 x x) (E.f64)) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(exp -1) |
(/.f64 #s(literal 1 binary64) (E.f64)) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (E.f64)) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* 1/6 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(* 1/6 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(* 1/6 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(* 1/6 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(* 1/6 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(* 1/6 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(* 1/6 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(* 1/6 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(* 1/6 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(* 1/6 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(* 1/6 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(* 1/6 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(* 1/6 (/ (pow x 4) (E))) |
(*.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (E.f64))) |
(* 1/6 (/ (pow x 4) (E))) |
(*.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (E.f64))) |
(* 1/6 (/ (pow x 4) (E))) |
(*.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (E.f64))) |
(* 1/6 (/ (pow x 4) (E))) |
(*.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (E.f64))) |
(* 1/6 (/ (pow x 4) (E))) |
(*.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (E.f64))) |
(* 1/6 (/ (pow x 4) (E))) |
(*.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (E.f64))) |
(* 1/6 (/ (pow x 4) (E))) |
(*.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (E.f64))) |
(* 1/6 (/ (pow x 4) (E))) |
(*.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (E.f64))) |
(* 1/6 (/ (pow x 4) (E))) |
(*.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (E.f64))) |
(* 1/6 (/ (pow x 4) (E))) |
(*.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (E.f64))) |
(* 1/6 (/ (pow x 4) (E))) |
(*.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (E.f64))) |
(* 1/6 (/ (pow x 4) (E))) |
(*.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (E.f64))) |
| 5 662× | lower-fma.f32 |
| 5 654× | lower-fma.f64 |
| 4 758× | lower-/.f32 |
| 4 748× | lower-/.f64 |
| 3 756× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 314 |
| 0 | 72 | 266 |
| 1 | 263 | 228 |
| 2 | 2059 | 228 |
| 0 | 8386 | 228 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64))) |
(/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64)) |
(fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64)))) |
#s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64))) |
(/.f64 (*.f64 x x) (E.f64)) |
(*.f64 x x) |
(-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64))))) |
#s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)))) |
(*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64))) |
(*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))) (fma.f64 x x #s(literal 1 binary64))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(*.f64 x (*.f64 x x)) |
(E.f64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) |
| Outputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64))) |
(+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (/.f64 x (E.f64)))) |
(+.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (/.f64 x (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (E.f64) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (E.f64))) (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (neg.f64 (E.f64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal -1 binary64))) (E.f64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal -1 binary64))) (E.f64))) |
(-.f64 (/.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)))) (*.f64 (E.f64) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (E.f64) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal -1 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (/.f64 x (E.f64))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (/.f64 x (E.f64)))) (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal -1 binary64)) (E.f64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (E.f64) (E.f64))) (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal -1 binary64)) (E.f64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (E.f64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (/.f64 x (E.f64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (/.f64 x (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64))) |
(fma.f64 x (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (/.f64 #s(literal 1 binary64) (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64))) |
(fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (/.f64 x (E.f64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) (/.f64 #s(literal 1 binary64) (E.f64))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (/.f64 x (E.f64)))) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (/.f64 x (E.f64)))) |
(fma.f64 (exp.f64 #s(literal -1/3 binary64)) (exp.f64 #s(literal -2/3 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (/.f64 x (E.f64)))) |
(fma.f64 (exp.f64 #s(literal -2/3 binary64)) (exp.f64 #s(literal -1/3 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (/.f64 x (E.f64)))) |
(fma.f64 (exp.f64 #s(literal -2/3 binary64)) (pow.f64 (exp.f64 #s(literal 1/6 binary64)) #s(literal -2 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (/.f64 x (E.f64)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (/.f64 #s(literal 1 binary64) (E.f64))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) x (/.f64 #s(literal 1 binary64) (E.f64))) |
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(fma.f64 (pow.f64 (sqrt.f64 (E.f64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (E.f64) (sqrt.f64 (E.f64))) #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (/.f64 x (E.f64)))) |
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(fabs.f64 (E.f64)) |
(fabs.f64 (neg.f64 (E.f64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (E.f64))) |
(sqrt.f64 (*.f64 (E.f64) (E.f64))) |
(cbrt.f64 (*.f64 (E.f64) (*.f64 (E.f64) (E.f64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (E.f64))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal 1 binary64) (E.f64)))) |
(/.f64 (E.f64) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64))) |
(/.f64 (sqrt.f64 (E.f64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64)))) |
(/.f64 (neg.f64 (E.f64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (E.f64))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 (E.f64))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))))) |
(pow.f64 (E.f64) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 (E.f64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (E.f64) (E.f64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (E.f64) (*.f64 (E.f64) (E.f64))) #s(literal 1/3 binary64)) |
(pow.f64 (*.f64 (*.f64 (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1 binary64) (E.f64)) |
(*.f64 (E.f64) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))) |
(*.f64 (sqrt.f64 (E.f64)) (log.f64 (exp.f64 (sqrt.f64 (E.f64))))) |
(*.f64 (exp.f64 #s(literal 1/3 binary64)) (exp.f64 #s(literal 2/3 binary64))) |
(*.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 (exp.f64 (exp.f64 #s(literal 2/3 binary64))))) |
(*.f64 (exp.f64 #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (E.f64) #s(literal 4/3 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (exp.f64 #s(literal 1/3 binary64)) (sqrt.f64 (pow.f64 (E.f64) #s(literal 4/3 binary64)))) |
(*.f64 (exp.f64 #s(literal 1/3 binary64)) (fabs.f64 (exp.f64 #s(literal 2/3 binary64)))) |
(*.f64 (exp.f64 #s(literal 2/3 binary64)) (exp.f64 #s(literal 1/3 binary64))) |
(*.f64 (exp.f64 #s(literal 2/3 binary64)) (pow.f64 (exp.f64 #s(literal 1/6 binary64)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (E.f64))) (pow.f64 (*.f64 (E.f64) (sqrt.f64 (E.f64))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (E.f64))) (sqrt.f64 (*.f64 (E.f64) (sqrt.f64 (E.f64))))) |
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (E.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (E.f64))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 #s(literal 2/3 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (exp.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (*.f64 (E.f64) (sqrt.f64 (E.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (E.f64)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))) #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 #s(literal 2/3 binary64))) #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (*.f64 (E.f64) (sqrt.f64 (E.f64))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (E.f64) (sqrt.f64 (E.f64))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (E.f64) (E.f64)) (sqrt.f64 (E.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (E.f64)))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (E.f64) (E.f64)) (exp.f64 #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (exp.f64 #s(literal 1/3 binary64)))) |
(*.f64 (cbrt.f64 (*.f64 (E.f64) (sqrt.f64 (E.f64)))) (cbrt.f64 (*.f64 (E.f64) (sqrt.f64 (E.f64))))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 (E.f64) (E.f64)) (sqrt.f64 (E.f64)))) (cbrt.f64 (sqrt.f64 (E.f64)))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 (E.f64) (E.f64)) (exp.f64 #s(literal 2/3 binary64)))) (cbrt.f64 (exp.f64 #s(literal 1/3 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 (E.f64) (sqrt.f64 (E.f64)))) (sqrt.f64 (sqrt.f64 (E.f64)))) |
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))) (exp.f64 #s(literal 1/3 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (E.f64) (exp.f64 #s(literal 2/3 binary64)))) (exp.f64 #s(literal 1/6 binary64))) |
(*.f64 (fabs.f64 (exp.f64 #s(literal 2/3 binary64))) (exp.f64 #s(literal 1/3 binary64))) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/6 binary64))) |
(*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) x) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 6 binary64) (/.f64 (E.f64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (E.f64))) (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) (neg.f64 (E.f64)))) |
(neg.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) (neg.f64 (E.f64)))) |
(neg.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/6 binary64)) (E.f64))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 6 binary64) (/.f64 (E.f64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 6 binary64) (/.f64 (E.f64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal 6 binary64) (/.f64 (E.f64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 6 binary64) (/.f64 (E.f64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 6 binary64) (/.f64 (E.f64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) (E.f64)) |
(/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/6 binary64)) (neg.f64 (E.f64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/6 binary64))) (neg.f64 (neg.f64 (E.f64)))) |
(/.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) (sqrt.f64 (E.f64))) (sqrt.f64 (E.f64))) |
(/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (E.f64)) |
(/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) #s(literal -1 binary64)) (neg.f64 (E.f64))) |
(/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64)))) (sqrt.f64 (E.f64))) |
(/.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (E.f64)) |
(/.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) (exp.f64 #s(literal 2/3 binary64))) (exp.f64 #s(literal 1/3 binary64))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/6 binary64)))) (neg.f64 (neg.f64 (neg.f64 (E.f64))))) |
(/.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) (sqrt.f64 (E.f64)))) (neg.f64 (sqrt.f64 (E.f64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (neg.f64 (E.f64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) #s(literal -1 binary64))) (neg.f64 (neg.f64 (E.f64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))))) (neg.f64 (sqrt.f64 (E.f64)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (neg.f64 (E.f64))) |
(/.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) (exp.f64 #s(literal 2/3 binary64)))) (neg.f64 (exp.f64 #s(literal 1/3 binary64)))) |
(pow.f64 (*.f64 #s(literal 6 binary64) (/.f64 (E.f64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 #s(literal 6 binary64) (/.f64 (E.f64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (E.f64)))) |
(*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (E.f64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) (E.f64))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/6 binary64)) (/.f64 #s(literal -1 binary64) (E.f64))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (E.f64))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (E.f64)))) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 (*.f64 x (*.f64 x x)) (E.f64))) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (E.f64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) (pow.f64 (/.f64 (sqrt.f64 (E.f64)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (E.f64)) #s(literal 1/6 binary64)) |
(*.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 (E.f64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (sqrt.f64 (E.f64)))) |
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (sqrt.f64 (E.f64))) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 (E.f64)))) |
(*.f64 (/.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 2/3 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (exp.f64 #s(literal 1/3 binary64)))) |
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/6 binary64) (E.f64))) |
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (exp.f64 #s(literal 2/3 binary64))) (/.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1/3 binary64)))) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x (*.f64 x x)) (E.f64))) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/6 binary64)) (sqrt.f64 (E.f64))) (/.f64 (*.f64 x (*.f64 x x)) (sqrt.f64 (E.f64)))) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/6 binary64)) (exp.f64 #s(literal 2/3 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (exp.f64 #s(literal 1/3 binary64)))) |
(*.f64 (exp.f64 #s(literal -2/3 binary64)) (pow.f64 (/.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (E.f64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (E.f64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (E.f64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (E.f64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (E.f64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (E.f64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (E.f64)) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (E.f64)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (exp.f64 #s(literal 1/3 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) |
Compiled 46 260 to 3 618 computations (92.2% saved)
32 alts after pruning (27 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 097 | 16 | 2 113 |
| Fresh | 7 | 11 | 18 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 2 105 | 32 | 2 137 |
| Status | Accuracy | Program |
|---|---|---|
| 63.1% | (exp.f64 #s(approx (+ (* x x) -1) (*.f64 x x))) | |
| 89.9% | #s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64))) | |
| 75.8% | #s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) | |
| ▶ | 92.2% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x #s(literal 1 binary64)) (E.f64))) |
| 89.9% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))) | |
| 89.9% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (E.f64))) | |
| 75.8% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))) | |
| 62.1% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64))) | |
| 62.1% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64))) | |
| 75.8% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (*.f64 x (E.f64)) (E.f64)) (*.f64 (E.f64) (E.f64)))) | |
| 70.8% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (E.f64))) | |
| 75.8% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (+.f64 (E.f64) (*.f64 (*.f64 x x) (E.f64))) (*.f64 (E.f64) (E.f64)))) | |
| 49.4% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (*.f64 (fma.f64 x (*.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (*.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal -1 binary64)) (E.f64)))) | |
| 48.9% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) (E.f64))) | |
| ✓ | 45.5% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) |
| ✓ | 75.8% | #s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64)))) |
| ✓ | 75.1% | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))) (fma.f64 x x #s(literal 1 binary64)))) |
| 89.9% | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x x #s(literal 1 binary64))))) | |
| 89.9% | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64)))) | |
| 49.0% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (E.f64)))) | |
| ▶ | 49.3% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)))))) |
| 48.9% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (E.f64))) x))) | |
| 48.9% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (E.f64))))) | |
| ▶ | 48.9% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x) (E.f64))))) |
| ✓ | 48.9% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64))))) |
| 48.9% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (E.f64)) #s(literal 1/6 binary64))))) | |
| 49.0% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (E.f64)))))) | |
| 46.7% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (E.f64))))) | |
| ▶ | 46.5% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (E.f64))))) |
| ✓ | 33.3% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64)))) |
| 33.3% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))))) | |
| ▶ | 33.3% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 x (E.f64)) x))) |
Compiled 1 016 to 546 computations (46.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64))) | |
| cost-diff | 0 | (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)))) | |
| cost-diff | 0 | #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64))))) | |
| cost-diff | 0 | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)))))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x) (E.f64))) | |
| cost-diff | 0 | #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x) (E.f64)))) | |
| cost-diff | 0 | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x) (E.f64))))) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (E.f64)) | |
| cost-diff | 0 | (*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (E.f64))) | |
| cost-diff | 0 | #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (E.f64)))) | |
| cost-diff | 0 | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (E.f64))))) | |
| cost-diff | 0 | (/.f64 x (E.f64)) | |
| cost-diff | 0 | (*.f64 (/.f64 x (E.f64)) x) | |
| cost-diff | 0 | #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 x (E.f64)) x)) | |
| cost-diff | 0 | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 x (E.f64)) x))) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x #s(literal 1 binary64)) (E.f64)) | |
| cost-diff | 0 | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x #s(literal 1 binary64)) (E.f64))) |
| 14 744× | lower-fma.f32 |
| 14 736× | lower-fma.f64 |
| 4 610× | lower-*.f32 |
| 4 586× | lower-*.f64 |
| 1 330× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 551 |
| 0 | 89 | 509 |
| 1 | 199 | 480 |
| 2 | 428 | 466 |
| 3 | 919 | 454 |
| 4 | 1544 | 454 |
| 5 | 4479 | 454 |
| 0 | 8154 | 431 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x #s(literal 1 binary64)) (E.f64))) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x #s(literal 1 binary64)) (E.f64)) |
(fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) |
(*.f64 x x) |
x |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(E.f64) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 x (E.f64)) x))) |
#s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 x (E.f64)) x)) |
(*.f64 (/.f64 x (E.f64)) x) |
(/.f64 x (E.f64)) |
x |
(E.f64) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (E.f64))))) |
#s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (E.f64)))) |
(*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (E.f64))) |
x |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (E.f64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) |
#s(literal 1/2 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(E.f64) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x) (E.f64))))) |
#s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x) (E.f64)))) |
(*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x) (E.f64))) |
(*.f64 x x) |
x |
(/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x) (E.f64)) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) |
(*.f64 x #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
(E.f64) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)))))) |
#s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64))))) |
(*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)))) |
x |
(*.f64 x (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64))) |
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(E.f64) |
| Outputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x) #s(literal 1 binary64)) (E.f64))) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x #s(literal 1 binary64)) (E.f64)) |
(/.f64 (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x) #s(literal 1 binary64)) (E.f64)) |
(fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x) |
(*.f64 x x) |
x |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(E.f64) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 x (E.f64)) x))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64)))) |
#s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 x (E.f64)) x)) |
#s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64))) |
(*.f64 (/.f64 x (E.f64)) x) |
(/.f64 (*.f64 x x) (E.f64)) |
(/.f64 x (E.f64)) |
x |
(E.f64) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (E.f64)))))) |
#s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (E.f64)))) |
#s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (E.f64))))) |
(*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (E.f64))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (E.f64)))) |
x |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (E.f64)) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (E.f64)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
#s(literal 1/2 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(E.f64) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 x (/.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))) (E.f64))))) |
#s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x) (E.f64)))) |
#s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 x (/.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))) (E.f64)))) |
(*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x) (E.f64))) |
(*.f64 x (/.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))) (E.f64))) |
(*.f64 x x) |
x |
(/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x) (E.f64)) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (E.f64)) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
(E.f64) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (/.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)) (E.f64)))) |
#s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64))))) |
#s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (/.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)) (E.f64))) |
(*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)))) |
(/.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)) (E.f64)) |
x |
(*.f64 x (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64))) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x) (E.f64)) |
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(E.f64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2656289569175856 | (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)) | |
| accuracy | 0.32421875 | (*.f64 x #s(literal 1/6 binary64)) | |
| accuracy | 4.964688418855765 | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)))))) | |
| accuracy | 27.494580074924038 | #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64))))) | |
| accuracy | 0.2695352069175856 | (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x) (E.f64)) | |
| accuracy | 0.32421875 | (*.f64 x #s(literal 1/6 binary64)) | |
| accuracy | 4.964688418855765 | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x) (E.f64))))) | |
| accuracy | 27.94250974531255 | #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x) (E.f64)))) | |
| accuracy | 0.0625 | (*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (E.f64))) | |
| accuracy | 0.10546875 | (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (E.f64)) | |
| accuracy | 6.644373730276713 | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (E.f64))))) | |
| accuracy | 27.885492625265478 | #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (E.f64)))) | |
| accuracy | 0.12109375 | (*.f64 (/.f64 x (E.f64)) x) | |
| accuracy | 0.37109375 | (/.f64 x (E.f64)) | |
| accuracy | 15.499124446383064 | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 x (E.f64)) x))) | |
| accuracy | 27.708142422585233 | #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 x (E.f64)) x)) | |
| accuracy | 0.0625 | (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) | |
| accuracy | 0.07421875 | (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) | |
| accuracy | 0.32421875 | (*.f64 x #s(literal 1/6 binary64)) | |
| accuracy | 4.964688418855765 | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x #s(literal 1 binary64)) (E.f64))) |
| 86.0ms | 256× | 0 | valid |
Compiled 376 to 53 computations (85.9% saved)
ival-mult: 36.0ms (54% of total)ival-add: 11.0ms (16.5% of total)ival-div: 9.0ms (13.5% of total)const: 4.0ms (6% of total)ival-exp: 2.0ms (3% of total)ival-e: 2.0ms (3% of total)ival-sub: 1.0ms (1.5% of total)ival-neg: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x #s(literal 1 binary64)) (E.f64))) (patch #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x #s(literal 1 binary64)) (E.f64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x #s(literal 1 binary64)) (E.f64)) (patch (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x #s(literal 1 binary64)) (E.f64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (patch (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 x (E.f64)) x))) (patch #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 x (E.f64)) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 x (E.f64)) x)) (patch #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 x (E.f64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x (E.f64)) x) (patch (*.f64 (/.f64 x (E.f64)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 x (E.f64)) (patch (/.f64 x (E.f64)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (E.f64))))) (patch #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (E.f64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (E.f64)))) (patch #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (E.f64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (E.f64))) (patch (*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (E.f64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (E.f64)) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (E.f64)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x) (E.f64))))) (patch #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x) (E.f64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x) (E.f64)))) (patch #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x) (E.f64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x) (E.f64))) (patch (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x) (E.f64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)))))) (patch #s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64))))) (patch #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)))) (patch (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64))) (patch (*.f64 x (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 1/6 binary64)) (patch (*.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x) (E.f64)) (patch (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x) (E.f64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)) (patch (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (exp -1) (taylor 0 x) (#s(alt #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x #s(literal 1 binary64)) (E.f64))) (patch #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x #s(literal 1 binary64)) (E.f64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp -1) (* (pow x 2) (exp -1))) (taylor 0 x) (#s(alt #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x #s(literal 1 binary64)) (E.f64))) (patch #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x #s(literal 1 binary64)) (E.f64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) (taylor 0 x) (#s(alt #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x #s(literal 1 binary64)) (E.f64))) (patch #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x #s(literal 1 binary64)) (E.f64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) (taylor 0 x) (#s(alt #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x #s(literal 1 binary64)) (E.f64))) (patch #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x #s(literal 1 binary64)) (E.f64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (pow x 2) 1)) (taylor inf x) (#s(alt #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x #s(literal 1 binary64)) (E.f64))) (patch #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x #s(literal 1 binary64)) (E.f64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (pow x 2) 1)) (taylor inf x) (#s(alt #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x #s(literal 1 binary64)) (E.f64))) (patch #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x #s(literal 1 binary64)) (E.f64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (pow x 2) 1)) (taylor inf x) (#s(alt #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x #s(literal 1 binary64)) (E.f64))) (patch #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x #s(literal 1 binary64)) (E.f64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (pow x 2) 1)) (taylor inf x) (#s(alt #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x #s(literal 1 binary64)) (E.f64))) (patch #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x #s(literal 1 binary64)) (E.f64))) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/6 (/ (pow x 4) (E))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)) (patch (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E)))))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)) (patch (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)) (patch (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)) (patch (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (/ (pow x 4) (E))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)) (patch (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E)))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)) (patch (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)) (patch (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)) (patch (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)) #<representation binary64>) () ())) ()) |
75 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/ x (E)) |
| 0.0ms | x | @ | inf | (/ x (E)) |
| 0.0ms | x | @ | -inf | (/ (* 1/2 (* x (* x x))) (E)) |
| 0.0ms | x | @ | inf | (* x (/ (* 1/2 (* x (* x x))) (E))) |
| 0.0ms | x | @ | 0 | (/ (* 1/2 (* x (* x x))) (E)) |
| 1× | egg-herbie |
| 20 672× | lower-fma.f64 |
| 20 672× | lower-fma.f32 |
| 5 222× | lower-*.f64 |
| 5 222× | lower-*.f32 |
| 2 164× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 134 | 2915 |
| 1 | 459 | 2789 |
| 2 | 1290 | 2682 |
| 3 | 3090 | 2614 |
| 4 | 5386 | 2614 |
| 0 | 9295 | 2398 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(exp -1) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(/ 1 (E)) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E))) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E))) |
(* 1/6 (/ (pow x 6) (E))) |
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E)))))) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E))))))) |
(* 1/6 (/ (pow x 6) (E))) |
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E)))))) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E))))))) |
1 |
(+ 1 (pow x 2)) |
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))))) |
(* 1/6 (pow x 6)) |
(* (pow x 6) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6)))))) |
(* 1/6 (pow x 6)) |
(* (pow x 6) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6)))))) |
x |
(* x (+ 1 (* 1/2 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))) |
(* 1/6 (pow x 5)) |
(* (pow x 5) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/6 (pow x 5)) |
(* (pow x 5) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/6))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/6))) |
(exp -1) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(/ 1 (E)) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(/ (pow x 2) (E)) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(/ (pow x 2) (E)) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(/ (pow x 2) (E)) |
(/ (pow x 2) (E)) |
(/ (pow x 2) (E)) |
(/ (pow x 2) (E)) |
(/ (pow x 2) (E)) |
(/ (pow x 2) (E)) |
(/ (pow x 2) (E)) |
(/ (pow x 2) (E)) |
(/ (pow x 2) (E)) |
(/ (pow x 2) (E)) |
(/ (pow x 2) (E)) |
(/ (pow x 2) (E)) |
(/ x (E)) |
(/ x (E)) |
(/ x (E)) |
(/ x (E)) |
(/ x (E)) |
(/ x (E)) |
(/ x (E)) |
(/ x (E)) |
(/ x (E)) |
(/ x (E)) |
(/ x (E)) |
(/ x (E)) |
(exp -1) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(/ 1 (E)) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E))) |
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E))) |
(* 1/2 (/ (pow x 4) (E))) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E)))))) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E)))))) |
(* 1/2 (/ (pow x 4) (E))) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E)))))) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E)))))) |
(* 1/2 (/ (pow x 4) (E))) |
(* 1/2 (/ (pow x 4) (E))) |
(* 1/2 (/ (pow x 4) (E))) |
(* 1/2 (/ (pow x 4) (E))) |
(* 1/2 (/ (pow x 4) (E))) |
(* 1/2 (/ (pow x 4) (E))) |
(* 1/2 (/ (pow x 4) (E))) |
(* 1/2 (/ (pow x 4) (E))) |
(* 1/2 (/ (pow x 4) (E))) |
(* 1/2 (/ (pow x 4) (E))) |
(* 1/2 (/ (pow x 4) (E))) |
(* 1/2 (/ (pow x 4) (E))) |
(* 1/2 (/ (pow x 3) (E))) |
(* 1/2 (/ (pow x 3) (E))) |
(* 1/2 (/ (pow x 3) (E))) |
(* 1/2 (/ (pow x 3) (E))) |
(* 1/2 (/ (pow x 3) (E))) |
(* 1/2 (/ (pow x 3) (E))) |
(* 1/2 (/ (pow x 3) (E))) |
(* 1/2 (/ (pow x 3) (E))) |
(* 1/2 (/ (pow x 3) (E))) |
(* 1/2 (/ (pow x 3) (E))) |
(* 1/2 (/ (pow x 3) (E))) |
(* 1/2 (/ (pow x 3) (E))) |
(exp -1) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(/ 1 (E)) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E))) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E))) |
(* 1/6 (/ (pow x 6) (E))) |
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E)))))) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E))))))) |
(* 1/6 (/ (pow x 6) (E))) |
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E)))))) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E))))))) |
(* 1/6 (/ (pow x 6) (E))) |
(* 1/6 (/ (pow x 6) (E))) |
(* 1/6 (/ (pow x 6) (E))) |
(* 1/6 (/ (pow x 6) (E))) |
(* 1/6 (/ (pow x 6) (E))) |
(* 1/6 (/ (pow x 6) (E))) |
(* 1/6 (/ (pow x 6) (E))) |
(* 1/6 (/ (pow x 6) (E))) |
(* 1/6 (/ (pow x 6) (E))) |
(* 1/6 (/ (pow x 6) (E))) |
(* 1/6 (/ (pow x 6) (E))) |
(* 1/6 (/ (pow x 6) (E))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(exp -1) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(exp (- (pow x 2) 1)) |
(/ 1 (E)) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E))) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E))) |
(* 1/6 (/ (pow x 6) (E))) |
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E)))))) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E))))))) |
(* 1/6 (/ (pow x 6) (E))) |
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E)))))) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E))))))) |
(/ (pow x 2) (E)) |
(* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) |
(* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) |
(* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) |
(* 1/6 (/ (pow x 6) (E))) |
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E)))))) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) |
(* 1/6 (/ (pow x 6) (E))) |
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E)))))) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) |
(/ x (E)) |
(* x (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) |
(* x (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) |
(* x (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) |
(* 1/6 (/ (pow x 5) (E))) |
(* (pow x 5) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E)))))) |
(* (pow x 5) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) |
(* (pow x 5) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) |
(* 1/6 (/ (pow x 5) (E))) |
(* (pow x 5) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E)))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))) (pow x 2))) (* 1/6 (/ 1 (E)))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))) (pow x 2))) (* 1/6 (/ 1 (E)))))) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
1/2 |
(+ 1/2 (* 1/6 (pow x 2))) |
(+ 1/2 (* 1/6 (pow x 2))) |
(+ 1/2 (* 1/6 (pow x 2))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/6 (pow x 2)))) |
(* x (+ 1/2 (* 1/6 (pow x 2)))) |
(* x (+ 1/2 (* 1/6 (pow x 2)))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/6 (/ (pow x 4) (E))) |
(* 1/6 (/ (pow x 4) (E))) |
(* 1/6 (/ (pow x 4) (E))) |
(* 1/6 (/ (pow x 4) (E))) |
(* 1/6 (/ (pow x 4) (E))) |
(* 1/6 (/ (pow x 4) (E))) |
(* 1/6 (/ (pow x 4) (E))) |
(* 1/6 (/ (pow x 4) (E))) |
(* 1/6 (/ (pow x 4) (E))) |
(* 1/6 (/ (pow x 4) (E))) |
(* 1/6 (/ (pow x 4) (E))) |
(* 1/6 (/ (pow x 4) (E))) |
(/ 1 (E)) |
(+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))) |
(+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E))) |
(+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E))) |
(* 1/6 (/ (pow x 4) (E))) |
(* (pow x 4) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E)))))) |
(* (pow x 4) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) |
(* (pow x 4) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) |
(* 1/6 (/ (pow x 4) (E))) |
(* (pow x 4) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E)))))) |
(* (pow x 4) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) |
(* (pow x 4) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) |
| Outputs |
|---|
(exp -1) |
(/.f64 #s(literal 1 binary64) (E.f64)) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x) #s(literal 1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(/ 1 (E)) |
(/.f64 #s(literal 1 binary64) (E.f64)) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x) #s(literal 1 binary64))) |
(* 1/6 (/ (pow x 6) (E))) |
(/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (E.f64)) |
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E)))))) |
(*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) (E.f64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/6 binary64) (E.f64)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (E.f64))))) (*.f64 x x)))) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E))))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (E.f64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* 1/6 (/ (pow x 6) (E))) |
(/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (E.f64)) |
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E)))))) |
(*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) (E.f64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/6 binary64) (E.f64)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (E.f64))))) (*.f64 x x)))) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E))))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (E.f64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow x 2)) |
(fma.f64 x x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2))))) |
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))))) |
(fma.f64 x (fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x) #s(literal 1 binary64)) |
(* 1/6 (pow x 6)) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
(* (pow x 6) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) |
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6)))))) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) |
(* 1/6 (pow x 6)) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
(* (pow x 6) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) |
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6)))))) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) |
x |
(* x (+ 1 (* 1/2 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x) |
(* x (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x) |
(* 1/6 (pow x 5)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
(* (pow x 5) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) |
(* (pow x 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
(* (pow x 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
(* 1/6 (pow x 5)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
(* (pow x 5) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/6))) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/6))) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
(exp -1) |
(/.f64 #s(literal 1 binary64) (E.f64)) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x) #s(literal 1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(/ 1 (E)) |
(/.f64 #s(literal 1 binary64) (E.f64)) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(/ (pow x 2) (E)) |
(/.f64 (*.f64 x x) (E.f64)) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(/ (pow x 2) (E)) |
(/.f64 (*.f64 x x) (E.f64)) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(/ (pow x 2) (E)) |
(/.f64 (*.f64 x x) (E.f64)) |
(/ (pow x 2) (E)) |
(/.f64 (*.f64 x x) (E.f64)) |
(/ (pow x 2) (E)) |
(/.f64 (*.f64 x x) (E.f64)) |
(/ (pow x 2) (E)) |
(/.f64 (*.f64 x x) (E.f64)) |
(/ (pow x 2) (E)) |
(/.f64 (*.f64 x x) (E.f64)) |
(/ (pow x 2) (E)) |
(/.f64 (*.f64 x x) (E.f64)) |
(/ (pow x 2) (E)) |
(/.f64 (*.f64 x x) (E.f64)) |
(/ (pow x 2) (E)) |
(/.f64 (*.f64 x x) (E.f64)) |
(/ (pow x 2) (E)) |
(/.f64 (*.f64 x x) (E.f64)) |
(/ (pow x 2) (E)) |
(/.f64 (*.f64 x x) (E.f64)) |
(/ (pow x 2) (E)) |
(/.f64 (*.f64 x x) (E.f64)) |
(/ (pow x 2) (E)) |
(/.f64 (*.f64 x x) (E.f64)) |
(/ x (E)) |
(/.f64 x (E.f64)) |
(/ x (E)) |
(/.f64 x (E.f64)) |
(/ x (E)) |
(/.f64 x (E.f64)) |
(/ x (E)) |
(/.f64 x (E.f64)) |
(/ x (E)) |
(/.f64 x (E.f64)) |
(/ x (E)) |
(/.f64 x (E.f64)) |
(/ x (E)) |
(/.f64 x (E.f64)) |
(/ x (E)) |
(/.f64 x (E.f64)) |
(/ x (E)) |
(/.f64 x (E.f64)) |
(/ x (E)) |
(/.f64 x (E.f64)) |
(/ x (E)) |
(/.f64 x (E.f64)) |
(/ x (E)) |
(/.f64 x (E.f64)) |
(exp -1) |
(/.f64 #s(literal 1 binary64) (E.f64)) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x) #s(literal 1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(/ 1 (E)) |
(/.f64 #s(literal 1 binary64) (E.f64)) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) |
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) |
(* 1/2 (/ (pow x 4) (E))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (/.f64 (*.f64 x x) (E.f64))))) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) |
(*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) |
(* 1/2 (/ (pow x 4) (E))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (/.f64 (*.f64 x x) (E.f64))))) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) |
(*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) |
(* 1/2 (/ (pow x 4) (E))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (/.f64 (*.f64 x x) (E.f64))))) |
(* 1/2 (/ (pow x 4) (E))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (/.f64 (*.f64 x x) (E.f64))))) |
(* 1/2 (/ (pow x 4) (E))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (/.f64 (*.f64 x x) (E.f64))))) |
(* 1/2 (/ (pow x 4) (E))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (/.f64 (*.f64 x x) (E.f64))))) |
(* 1/2 (/ (pow x 4) (E))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (/.f64 (*.f64 x x) (E.f64))))) |
(* 1/2 (/ (pow x 4) (E))) |
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(* (pow x 5) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E)))))) |
(*.f64 (*.f64 x (/.f64 (*.f64 x x) (E.f64))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* (pow x 5) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (E.f64))))) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x x) (E.f64))) (*.f64 x (*.f64 x x)))) |
(* (pow x 5) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (E.f64))))) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x x) (E.f64))) (*.f64 x (*.f64 x x)))) |
(* 1/6 (/ (pow x 5) (E))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x x) (E.f64))) (*.f64 x (*.f64 x x))) |
(* (pow x 5) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E)))))) |
(*.f64 (*.f64 x (/.f64 (*.f64 x x) (E.f64))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))) (pow x 2))) (* 1/6 (/ 1 (E)))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (E.f64))))) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x x) (E.f64))) (*.f64 x (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))) (pow x 2))) (* 1/6 (/ 1 (E)))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (E.f64))))) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x x) (E.f64))) (*.f64 x (*.f64 x x)))) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* 1/6 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* 1/6 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* 1/6 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* 1/6 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* 1/6 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* 1/6 (/ (pow x 4) (E))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64)) |
(* 1/6 (/ (pow x 4) (E))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64)) |
(* 1/6 (/ (pow x 4) (E))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64)) |
(* 1/6 (/ (pow x 4) (E))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64)) |
(* 1/6 (/ (pow x 4) (E))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64)) |
(* 1/6 (/ (pow x 4) (E))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64)) |
(* 1/6 (/ (pow x 4) (E))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64)) |
(* 1/6 (/ (pow x 4) (E))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64)) |
(* 1/6 (/ (pow x 4) (E))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64)) |
(* 1/6 (/ (pow x 4) (E))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64)) |
(* 1/6 (/ (pow x 4) (E))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64)) |
(* 1/6 (/ (pow x 4) (E))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64)) |
(/ 1 (E)) |
(/.f64 #s(literal 1 binary64) (E.f64)) |
(+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))) |
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)) |
(+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(* 1/6 (/ (pow x 4) (E))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64)) |
(* (pow x 4) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E)))))) |
(*.f64 (/.f64 (*.f64 x x) (E.f64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* (pow x 4) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(* (pow x 4) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(* 1/6 (/ (pow x 4) (E))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64)) |
(* (pow x 4) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E)))))) |
(*.f64 (/.f64 (*.f64 x x) (E.f64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* (pow x 4) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(* (pow x 4) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
| 6 508× | lower-fma.f32 |
| 6 500× | lower-fma.f64 |
| 4 322× | lower-/.f32 |
| 4 312× | lower-/.f64 |
| 4 152× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 468 |
| 0 | 89 | 428 |
| 1 | 371 | 397 |
| 2 | 2494 | 397 |
| 0 | 8736 | 383 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x #s(literal 1 binary64)) (E.f64))) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x #s(literal 1 binary64)) (E.f64)) |
(fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 x (E.f64)) x))) |
#s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 x (E.f64)) x)) |
(*.f64 (/.f64 x (E.f64)) x) |
(/.f64 x (E.f64)) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (E.f64))))) |
#s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (E.f64)))) |
(*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (E.f64))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (E.f64)) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x) (E.f64))))) |
#s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x) (E.f64)))) |
(*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x) (E.f64))) |
(*.f64 x x) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)))))) |
#s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64))))) |
(*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)))) |
(*.f64 x (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64))) |
(*.f64 x #s(literal 1/6 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x) (E.f64)) |
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)) |
| Outputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64))) |
(+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) (/.f64 x (E.f64)))) |
(+.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) (/.f64 x (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (E.f64) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x))) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal -1 binary64))) (E.f64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal -1 binary64))) (E.f64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (E.f64))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (neg.f64 (E.f64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x))) (*.f64 (E.f64) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (E.f64) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal -1 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) (/.f64 x (E.f64))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) (/.f64 x (E.f64)))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal -1 binary64)) (E.f64))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal -1 binary64)) (E.f64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (E.f64)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) (/.f64 x (E.f64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) (/.f64 x (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64))) |
(fma.f64 x (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) (/.f64 #s(literal 1 binary64) (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))) |
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(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (E.f64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (E.f64))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (neg.f64 (E.f64))))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (E.f64)))) (neg.f64 (sqrt.f64 (E.f64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (E.f64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 (E.f64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (E.f64))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 #s(literal 2/3 binary64)))) (neg.f64 (exp.f64 #s(literal 1/3 binary64)))) |
(pow.f64 (/.f64 (E.f64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (E.f64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (E.f64))) |
(*.f64 (exp.f64 #s(literal -2/3 binary64)) (pow.f64 (/.f64 (exp.f64 #s(literal 1/3 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) (pow.f64 (/.f64 (sqrt.f64 (E.f64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))) |
(*.f64 (pow.f64 (/.f64 (E.f64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (E.f64) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
Compiled 27 932 to 2 308 computations (91.7% saved)
40 alts after pruning (32 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 064 | 15 | 1 079 |
| Fresh | 5 | 17 | 22 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 4 | 5 |
| Total | 1 071 | 40 | 1 111 |
| Status | Accuracy | Program |
|---|---|---|
| 63.1% | (exp.f64 #s(approx (+ (* x x) -1) (*.f64 x x))) | |
| 75.8% | #s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) | |
| ✓ | 92.2% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x #s(literal 1 binary64)) (E.f64))) |
| 62.1% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) x) x #s(literal 1 binary64)) (E.f64))) | |
| 92.2% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (E.f64))) | |
| 89.9% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))) | |
| 89.9% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (E.f64))) | |
| 75.8% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))) | |
| 71.9% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/6)) 1/2))) x) (fma.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))))) x #s(literal 1 binary64)) (E.f64))) | |
| 75.8% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (*.f64 x (E.f64)) (E.f64)) (*.f64 (E.f64) (E.f64)))) | |
| 70.8% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (E.f64))) | |
| 75.8% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (+.f64 (E.f64) (*.f64 (*.f64 x x) (E.f64))) (*.f64 (E.f64) (E.f64)))) | |
| 49.4% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (*.f64 (fma.f64 x (*.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (*.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal -1 binary64)) (E.f64)))) | |
| 48.9% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) (E.f64))) | |
| ✓ | 45.5% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) |
| ✓ | 75.8% | #s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64)))) |
| ✓ | 75.1% | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))) (fma.f64 x x #s(literal 1 binary64)))) |
| 89.9% | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x x #s(literal 1 binary64))))) | |
| 89.9% | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64)))) | |
| 49.3% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (E.f64)))) | |
| 49.0% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (E.f64)))) | |
| 49.3% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)))))) | |
| 19.2% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (E.f64)))))) | |
| 19.2% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))) #s(literal 1 binary64)) (E.f64)))))) | |
| 46.7% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(approx (+ (* x (* x 1/6)) 1/2) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)))))) | |
| 48.9% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x #s(approx (/ (+ (* x (* x (+ (* x (* x 1/6)) 1/2))) 1) (E)) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64))))))) | |
| 48.9% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (E.f64))))) | |
| ✓ | 48.9% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x) (E.f64))))) |
| 48.9% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (E.f64)) #s(literal 1/6 binary64))))) | |
| 49.0% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (E.f64)))))) | |
| 46.8% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2 binary64)) (E.f64)))) | |
| 46.5% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 x (/.f64 (E.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))))) | |
| 46.5% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (/.f64 x (E.f64))))) | |
| ✓ | 46.5% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (E.f64))))) |
| 46.5% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (E.f64)))))) | |
| ✓ | 33.3% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64)))) |
| 33.3% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 x (/.f64 (E.f64) x)))) | |
| 33.3% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))))) | |
| ✓ | 33.3% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 x (E.f64)) x))) |
| 33.3% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x)) x))) |
Compiled 1 723 to 580 computations (66.3% saved)
| Inputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 x (E.f64)) x))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64)))) |
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 x (/.f64 (E.f64) x)))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x)) x))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (*.f64 x (E.f64)) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (+.f64 (E.f64) (*.f64 (E.f64) (*.f64 x x))) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (+.f64 (E.f64) (*.f64 (*.f64 x x) (E.f64))) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (/.f64 x (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(approx (+ (* x (* x 1/6)) 1/2) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 x (/.f64 (E.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (E.f64)) #s(literal 1/6 binary64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (E.f64))) x))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x #s(approx (/ (+ (* x (* x (+ (* x (* x 1/6)) 1/2))) 1) (E)) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64))))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 x (*.f64 x (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x x #s(literal 1 binary64))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))) (fma.f64 x x #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x)) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) x) x #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/6)) 1/2))) x) (fma.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))))) x #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))) #s(literal 1 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (*.f64 (fma.f64 x (*.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (*.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal -1 binary64)) (E.f64)))) |
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) |
(exp.f64 #s(approx (+ (* x x) -1) (*.f64 x x))) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(exp.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x x #s(literal 1 binary64)))) |
| Outputs |
|---|
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
5 calls:
| 16.0ms | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 16.0ms | x |
| 14.0ms | (*.f64 x x) |
| 13.0ms | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 12.0ms | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 100.0% | 1 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 100.0% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 100.0% | 1 | (*.f64 x x) |
Compiled 27 to 18 computations (33.3% saved)
| Inputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 x (E.f64)) x))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64)))) |
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 x (/.f64 (E.f64) x)))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x)) x))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (*.f64 x (E.f64)) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (+.f64 (E.f64) (*.f64 (E.f64) (*.f64 x x))) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (+.f64 (E.f64) (*.f64 (*.f64 x x) (E.f64))) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (/.f64 x (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(approx (+ (* x (* x 1/6)) 1/2) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 x (/.f64 (E.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (E.f64)) #s(literal 1/6 binary64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (E.f64))) x))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x #s(approx (/ (+ (* x (* x (+ (* x (* x 1/6)) 1/2))) 1) (E)) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64))))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 x (*.f64 x (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x x #s(literal 1 binary64))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))) (fma.f64 x x #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x)) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) x) x #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/6)) 1/2))) x) (fma.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))))) x #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))) #s(literal 1 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (*.f64 (fma.f64 x (*.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (*.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal -1 binary64)) (E.f64)))) |
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) |
(exp.f64 #s(approx (+ (* x x) -1) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (E.f64))) |
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) |
5 calls:
| 40.0ms | (*.f64 x x) |
| 36.0ms | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 15.0ms | x |
| 13.0ms | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 12.0ms | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 2 | x |
| 100.0% | 2 | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 100.0% | 2 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 100.0% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 100.0% | 2 | (*.f64 x x) |
Compiled 27 to 18 computations (33.3% saved)
| Inputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 x (E.f64)) x))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64)))) |
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 x (/.f64 (E.f64) x)))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x)) x))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (*.f64 x (E.f64)) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (+.f64 (E.f64) (*.f64 (E.f64) (*.f64 x x))) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (+.f64 (E.f64) (*.f64 (*.f64 x x) (E.f64))) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (/.f64 x (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(approx (+ (* x (* x 1/6)) 1/2) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 x (/.f64 (E.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (E.f64)) #s(literal 1/6 binary64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (E.f64))) x))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x #s(approx (/ (+ (* x (* x (+ (* x (* x 1/6)) 1/2))) 1) (E)) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64))))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 x (*.f64 x (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x x #s(literal 1 binary64))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))) (fma.f64 x x #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x)) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) x) x #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/6)) 1/2))) x) (fma.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))))) x #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))) #s(literal 1 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (*.f64 (fma.f64 x (*.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (*.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal -1 binary64)) (E.f64)))) |
| Outputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (*.f64 (fma.f64 x (*.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (*.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal -1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2 binary64)) (E.f64)))) |
5 calls:
| 16.0ms | (*.f64 x x) |
| 15.0ms | x |
| 12.0ms | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 12.0ms | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 11.0ms | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.9% | 2 | x |
| 92.2% | 1 | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 93.9% | 2 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 93.9% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 93.9% | 2 | (*.f64 x x) |
Compiled 27 to 18 computations (33.3% saved)
| Inputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 x (E.f64)) x))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64)))) |
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 x (/.f64 (E.f64) x)))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x)) x))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (*.f64 x (E.f64)) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (+.f64 (E.f64) (*.f64 (E.f64) (*.f64 x x))) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (+.f64 (E.f64) (*.f64 (*.f64 x x) (E.f64))) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (/.f64 x (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(approx (+ (* x (* x 1/6)) 1/2) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 x (/.f64 (E.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (E.f64)) #s(literal 1/6 binary64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (E.f64))) x))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x #s(approx (/ (+ (* x (* x (+ (* x (* x 1/6)) 1/2))) 1) (E)) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64))))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 x (*.f64 x (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x x #s(literal 1 binary64))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))) (fma.f64 x x #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x)) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) x) x #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/6)) 1/2))) x) (fma.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))))) x #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))) #s(literal 1 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (E.f64))) |
5 calls:
| 48.0ms | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 14.0ms | x |
| 13.0ms | (*.f64 x x) |
| 12.0ms | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 11.0ms | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.2% | 1 | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 92.2% | 1 | x |
| 92.2% | 1 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 92.2% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 92.2% | 1 | (*.f64 x x) |
Compiled 27 to 18 computations (33.3% saved)
| Inputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 x (E.f64)) x))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64)))) |
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 x (/.f64 (E.f64) x)))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x)) x))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (*.f64 x (E.f64)) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (+.f64 (E.f64) (*.f64 (E.f64) (*.f64 x x))) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (+.f64 (E.f64) (*.f64 (*.f64 x x) (E.f64))) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (/.f64 x (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(approx (+ (* x (* x 1/6)) 1/2) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 x (/.f64 (E.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (E.f64)) #s(literal 1/6 binary64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (E.f64))) x))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x #s(approx (/ (+ (* x (* x (+ (* x (* x 1/6)) 1/2))) 1) (E)) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64))))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 x (*.f64 x (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x x #s(literal 1 binary64))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))) (fma.f64 x x #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64))) |
5 calls:
| 13.0ms | x |
| 11.0ms | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 11.0ms | (*.f64 x x) |
| 10.0ms | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 10.0ms | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.2% | 1 | x |
| 92.2% | 1 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 92.2% | 1 | (*.f64 x x) |
| 92.2% | 1 | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 92.2% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
Compiled 27 to 18 computations (33.3% saved)
| Inputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 x (E.f64)) x))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64)))) |
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 x (/.f64 (E.f64) x)))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x)) x))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (*.f64 x (E.f64)) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (+.f64 (E.f64) (*.f64 (E.f64) (*.f64 x x))) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (+.f64 (E.f64) (*.f64 (*.f64 x x) (E.f64))) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (/.f64 x (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(approx (+ (* x (* x 1/6)) 1/2) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 x (/.f64 (E.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (E.f64)) #s(literal 1/6 binary64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (E.f64))) x))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x #s(approx (/ (+ (* x (* x (+ (* x (* x 1/6)) 1/2))) 1) (E)) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64))))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 x (*.f64 x (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x x #s(literal 1 binary64))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
| Outputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
5 calls:
| 12.0ms | x |
| 11.0ms | (*.f64 x x) |
| 9.0ms | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 9.0ms | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 8.0ms | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.2% | 2 | x |
| 92.2% | 2 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 92.2% | 2 | (*.f64 x x) |
| 92.2% | 2 | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 92.2% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
Compiled 27 to 18 computations (33.3% saved)
| Inputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 x (E.f64)) x))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64)))) |
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 x (/.f64 (E.f64) x)))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x)) x))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (*.f64 x (E.f64)) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (+.f64 (E.f64) (*.f64 (E.f64) (*.f64 x x))) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (+.f64 (E.f64) (*.f64 (*.f64 x x) (E.f64))) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (/.f64 x (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(approx (+ (* x (* x 1/6)) 1/2) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 x (/.f64 (E.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (E.f64)) #s(literal 1/6 binary64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (E.f64))) x))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x #s(approx (/ (+ (* x (* x (+ (* x (* x 1/6)) 1/2))) 1) (E)) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64))))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 x (*.f64 x (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x x #s(literal 1 binary64))))) |
| Outputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (E.f64))) |
5 calls:
| 33.0ms | x |
| 11.0ms | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 9.0ms | (*.f64 x x) |
| 9.0ms | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 8.0ms | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.2% | 2 | x |
| 92.2% | 2 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 92.2% | 2 | (*.f64 x x) |
| 92.2% | 2 | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 92.2% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
Compiled 27 to 18 computations (33.3% saved)
| Inputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 x (E.f64)) x))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64)))) |
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 x (/.f64 (E.f64) x)))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x)) x))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (*.f64 x (E.f64)) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (+.f64 (E.f64) (*.f64 (E.f64) (*.f64 x x))) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (+.f64 (E.f64) (*.f64 (*.f64 x x) (E.f64))) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (/.f64 x (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(approx (+ (* x (* x 1/6)) 1/2) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 x (/.f64 (E.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (E.f64)) #s(literal 1/6 binary64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (E.f64))) x))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x #s(approx (/ (+ (* x (* x (+ (* x (* x 1/6)) 1/2))) 1) (E)) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64))))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) (E.f64))) |
| Outputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (E.f64)) #s(literal 1/6 binary64))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (E.f64))) |
5 calls:
| 25.0ms | x |
| 8.0ms | (*.f64 x x) |
| 7.0ms | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 7.0ms | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 7.0ms | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.2% | 2 | x |
| 92.2% | 2 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 92.2% | 2 | (*.f64 x x) |
| 92.2% | 2 | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 92.2% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
Compiled 27 to 18 computations (33.3% saved)
| Inputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 x (E.f64)) x))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64)))) |
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 x (/.f64 (E.f64) x)))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x)) x))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (*.f64 x (E.f64)) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (+.f64 (E.f64) (*.f64 (E.f64) (*.f64 x x))) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (+.f64 (E.f64) (*.f64 (*.f64 x x) (E.f64))) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (/.f64 x (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(approx (+ (* x (* x 1/6)) 1/2) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 x (/.f64 (E.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (E.f64))) |
5 calls:
| 7.0ms | x |
| 6.0ms | (*.f64 x x) |
| 6.0ms | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 6.0ms | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 5.0ms | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.9% | 1 | x |
| 89.9% | 1 | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 89.9% | 1 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 89.9% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 89.9% | 1 | (*.f64 x x) |
Compiled 27 to 18 computations (33.3% saved)
| Inputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 x (E.f64)) x))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64)))) |
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 x (/.f64 (E.f64) x)))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x)) x))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (*.f64 x (E.f64)) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (+.f64 (E.f64) (*.f64 (E.f64) (*.f64 x x))) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (+.f64 (E.f64) (*.f64 (*.f64 x x) (E.f64))) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (/.f64 x (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (E)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(approx (+ (* x (* x 1/6)) 1/2) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (E.f64)))))) |
| Outputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (*.f64 x (E.f64)) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2 binary64)) (E.f64)))) |
5 calls:
| 6.0ms | x |
| 5.0ms | (*.f64 x x) |
| 5.0ms | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 5.0ms | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 5.0ms | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.5% | 2 | x |
| 89.5% | 2 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 89.5% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 89.5% | 2 | (*.f64 x x) |
| 89.5% | 2 | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
Compiled 27 to 18 computations (33.3% saved)
| Inputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 x (E.f64)) x))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64)))) |
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 x (/.f64 (E.f64) x)))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x)) x))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (*.f64 x (E.f64)) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (+.f64 (E.f64) (*.f64 (E.f64) (*.f64 x x))) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (+.f64 (E.f64) (*.f64 (*.f64 x x) (E.f64))) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (E.f64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (/.f64 x (E.f64))))) |
| Outputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (*.f64 x (E.f64)) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (E.f64)))))) |
5 calls:
| 5.0ms | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 5.0ms | x |
| 5.0ms | (*.f64 x x) |
| 4.0ms | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 4.0ms | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.2% | 2 | x |
| 89.2% | 2 | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 89.2% | 2 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 89.2% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 89.2% | 2 | (*.f64 x x) |
Compiled 27 to 18 computations (33.3% saved)
| Inputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 x (E.f64)) x))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64)))) |
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 x (/.f64 (E.f64) x)))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x)) x))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (*.f64 x (E.f64)) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (+.f64 (E.f64) (*.f64 (E.f64) (*.f64 x x))) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (+.f64 (E.f64) (*.f64 (*.f64 x x) (E.f64))) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64)))) |
| Outputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (*.f64 x (E.f64)) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
5 calls:
| 18.0ms | x |
| 4.0ms | (*.f64 x x) |
| 4.0ms | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 4.0ms | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 3.0ms | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.8% | 1 | x |
| 75.8% | 1 | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 75.8% | 1 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 75.8% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 75.8% | 1 | (*.f64 x x) |
Compiled 27 to 18 computations (33.3% saved)
| Inputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 x (E.f64)) x))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64)))) |
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 x (/.f64 (E.f64) x)))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x)) x))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))))) |
| Outputs |
|---|
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
5 calls:
| 3.0ms | x |
| 3.0ms | (*.f64 x x) |
| 3.0ms | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 2.0ms | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 2.0ms | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.8% | 1 | x |
| 75.8% | 1 | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 75.8% | 1 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 75.8% | 1 | (*.f64 x x) |
| 75.8% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
Compiled 27 to 18 computations (33.3% saved)
| Inputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 x (E.f64)) x))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64)))) |
| Outputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 x (E.f64)) x))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) |
5 calls:
| 2.0ms | x |
| 2.0ms | (*.f64 x x) |
| 1.0ms | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 1.0ms | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 1.0ms | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.2% | 2 | x |
| 75.2% | 2 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 75.2% | 2 | (*.f64 x x) |
| 75.2% | 2 | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 75.2% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
Compiled 27 to 18 computations (33.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) |
| Outputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) |
5 calls:
| 1.0ms | x |
| 1.0ms | (*.f64 x x) |
| 1.0ms | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 1.0ms | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 1.0ms | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.5% | 1 | x |
| 45.5% | 1 | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 45.5% | 1 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 45.5% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 45.5% | 1 | (*.f64 x x) |
Compiled 27 to 18 computations (33.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.5558035572034034e-5 | 3015796286.28112 |
Compiled 11 to 10 computations (9.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.5190049900918312e+152 | 1.897353793341132e+154 |
Compiled 11 to 10 computations (9.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 20.0ms | -3015796285.28112 | 0.999954441964428 |
Compiled 11 to 10 computations (9.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3015796285.28112 | 0.999954441964428 |
Compiled 11 to 10 computations (9.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3015796285.28112 | 0.999954441964428 |
Compiled 11 to 10 computations (9.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.3678962014178885 | +inf |
Compiled 11 to 10 computations (9.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.5558035572034034e-5 | 3015796286.28112 |
Compiled 11 to 10 computations (9.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3015796285.28112 | 0.999954441964428 |
Compiled 11 to 10 computations (9.1% saved)
| 1× | egg-herbie |
| 466× | distribute-lft-neg-in_binary64 |
| 266× | neg-mul-1_binary64 |
| 256× | neg-sub0_binary64 |
| 212× | unsub-neg_binary64 |
| 190× | sub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 116 | 656 |
| 1 | 146 | 656 |
| 2 | 157 | 656 |
| 3 | 175 | 655 |
| 4 | 228 | 655 |
| 5 | 355 | 655 |
| 6 | 566 | 655 |
| 7 | 752 | 655 |
| 8 | 933 | 655 |
| 9 | 1078 | 655 |
| 10 | 1204 | 655 |
| 11 | 1324 | 655 |
| 12 | 1425 | 655 |
| 13 | 1484 | 655 |
| 14 | 1502 | 655 |
| 15 | 1505 | 655 |
| 1× | saturated |
| Inputs |
|---|
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(if (<=.f64 (*.f64 x x) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (E.f64))) (exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))) |
(if (<=.f64 (*.f64 x x) #s(literal 200000000000000009250216271808398948002452544790145376983777454402545107507559301846766839764406850263979324900979381181838795379032883593269504018219008 binary64)) #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (*.f64 (fma.f64 x (*.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (*.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal -1 binary64)) (E.f64)))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2 binary64)) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -2000000000 binary64)) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (E.f64)))))) #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -2000000000 binary64)) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (E.f64)))))) #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (E.f64)))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -2000000000 binary64)) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (E.f64)) #s(literal 1/6 binary64))))) #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (E.f64))) |
(if (<=.f64 (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1/2 binary64)) #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (*.f64 x (E.f64)) (E.f64)) (*.f64 (E.f64) (E.f64)))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2 binary64)) (E.f64))))) |
(if (<=.f64 (*.f64 x x) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (*.f64 x (E.f64)) (E.f64)) (*.f64 (E.f64) (E.f64)))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (E.f64))))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (*.f64 x (E.f64)) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -2000000000 binary64)) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 x (E.f64)) x))) #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) |
| Outputs |
|---|
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(if (<=.f64 (*.f64 x x) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (E.f64))) (exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))) |
(if (<=.f64 (*.f64 x x) #s(literal 200000000000000009250216271808398948002452544790145376983777454402545107507559301846766839764406850263979324900979381181838795379032883593269504018219008 binary64)) #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (*.f64 (fma.f64 x (*.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (*.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal -1 binary64)) (E.f64)))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2 binary64)) (E.f64))))) |
(if (<=.f64 (*.f64 x x) #s(literal 200000000000000009250216271808398948002452544790145376983777454402545107507559301846766839764406850263979324900979381181838795379032883593269504018219008 binary64)) #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))) #s(literal -1 binary64)) (*.f64 (E.f64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64))))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -2000000000 binary64)) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (E.f64)))))) #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -2000000000 binary64)) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (E.f64)))))) #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x)) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -2000000000 binary64)) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (E.f64)))))) #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (E.f64)))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -2000000000 binary64)) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (E.f64)) #s(literal 1/6 binary64))))) #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (E.f64)))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -2000000000 binary64)) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (E.f64)))))) #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (E.f64))) |
(if (<=.f64 (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1/2 binary64)) #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (*.f64 x (E.f64)) (E.f64)) (*.f64 (E.f64) (E.f64)))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2 binary64)) (E.f64))))) |
(if (<=.f64 (exp.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)) #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (*.f64 x (E.f64)) (E.f64)) (*.f64 (E.f64) (E.f64)))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64))))) |
(if (<=.f64 (*.f64 x x) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (*.f64 x (E.f64)) (E.f64)) (*.f64 (E.f64) (E.f64)))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (E.f64))))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (*.f64 x (E.f64)) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -2000000000 binary64)) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 (/.f64 x (E.f64)) x))) #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -2000000000 binary64)) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (*.f64 x (/.f64 x (E.f64))))) #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) |
| 18 504× | lower-fma.f64 |
| 18 504× | lower-fma.f32 |
| 16 140× | lower-fma.f64 |
| 16 140× | lower-fma.f32 |
| 9 734× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 1330 |
| 1 | 299 | 1260 |
| 2 | 826 | 1184 |
| 3 | 1947 | 1148 |
| 4 | 4918 | 1142 |
| 5 | 6519 | 1142 |
| 0 | 8173 | 988 |
| 0 | 47 | 314 |
| 0 | 72 | 266 |
| 1 | 263 | 228 |
| 2 | 2059 | 228 |
| 0 | 8386 | 228 |
| 0 | 30 | 164 |
| 0 | 52 | 158 |
| 1 | 227 | 132 |
| 2 | 1784 | 132 |
| 0 | 8331 | 128 |
| 0 | 59 | 468 |
| 0 | 89 | 428 |
| 1 | 371 | 397 |
| 2 | 2494 | 397 |
| 0 | 8736 | 383 |
| 0 | 6 | 21 |
| 0 | 10 | 21 |
| 1 | 37 | 19 |
| 2 | 227 | 19 |
| 3 | 1923 | 19 |
| 0 | 9304 | 16 |
| 0 | 108 | 1889 |
| 1 | 338 | 1835 |
| 2 | 967 | 1739 |
| 3 | 2376 | 1709 |
| 4 | 4929 | 1697 |
| 5 | 6892 | 1697 |
| 0 | 8560 | 1540 |
| 0 | 30 | 254 |
| 1 | 81 | 241 |
| 2 | 247 | 237 |
| 3 | 607 | 234 |
| 4 | 1355 | 234 |
| 5 | 2041 | 234 |
| 6 | 3139 | 234 |
| 7 | 5658 | 234 |
| 0 | 8384 | 211 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 856 to 365 computations (57.4% saved)
(abs x)
Compiled 778 to 162 computations (79.2% saved)
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