
Time bar (total: 11.0s)
| 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)
| 433.0ms | 8 256× | 0 | valid |
ival-exp: 99.0ms (35.5% of total)ival-mult: 66.0ms (23.7% of total)ival-neg: 57.0ms (20.5% of total)ival-sub: 43.0ms (15.4% of total)ival-true: 6.0ms (2.2% of total)exact: 5.0ms (1.8% of total)ival-assert: 3.0ms (1.1% 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)
| 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 |
| 29.0ms | 512× | 0 | valid |
Compiled 66 to 28 computations (57.6% saved)
ival-sub: 5.0ms (29.7% of total)ival-exp: 4.0ms (23.8% of total)ival-mult: 4.0ms (23.8% of total)ival-neg: 2.0ms (11.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 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 | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| ✓ | accuracy | 100.0% | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 14.0ms | 256× | 0 | valid |
Compiled 25 to 8 computations (68% saved)
ival-exp: 4.0ms (47.1% of total)ival-mult: 2.0ms (23.5% of total)ival-sub: 1.0ms (11.8% of total)ival-neg: 1.0ms (11.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))> |
#<alt (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))> |
#<alt (-.f64 #s(literal 1 binary64) (*.f64 x x))> |
#<alt (*.f64 x x)> |
| Outputs |
|---|
#<alt -1> |
#<alt (- (pow x 2) 1)> |
#<alt (- (pow x 2) 1)> |
#<alt (- (pow x 2) 1)> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (exp -1)> |
#<alt (+ (exp -1) (* (pow x 2) (exp -1)))> |
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))> |
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt 1> |
#<alt (+ 1 (* -1 (pow x 2)))> |
#<alt (+ 1 (* -1 (pow x 2)))> |
#<alt (+ 1 (* -1 (pow x 2)))> |
#<alt (* -1 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))> |
#<alt (* -1 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
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) |
| 1× | batch-egg-rewrite |
| 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)))) |
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(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.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))))) (pow.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (*.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.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 0 binary64) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (pow.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)))) #s(literal 3 binary64)) (pow.f64 (/.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))) #s(literal 3 binary64))) (fma.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 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)))) (fma.f64 (/.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 (*.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 (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 (pow.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 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)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))) (fma.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (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 #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))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)))) |
(*.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)))) |
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))))) |
(*.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)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (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) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))) (log.f64 (exp.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 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 x #s(literal 1 binary64))) (log.f64 (exp.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #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 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (neg.f64 (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (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))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (-.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))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (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))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.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)))))))) #s(literal -1 binary64)) (/.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)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x (*.f64 x 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))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (fma.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))))))) #s(literal -1 binary64)) (/.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)))) |
(*.f64 (pow.f64 (/.f64 (fma.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)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))) |
(neg.f64 (neg.f64 (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x)))))) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(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)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 542 | 6 | 548 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 543 | 6 | 549 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
| 59.2% | (exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) | |
| ▶ | 50.6% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) |
| ▶ | 92.7% | #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)))) |
| ▶ | 89.0% | #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)))) |
| ▶ | 74.5% | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))) |
Compiled 132 to 78 computations (40.9% 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 | 100.0% | (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)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 92.7% | #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 | 100.0% | (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) |
| ✓ | accuracy | 99.9% | (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (*.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 | 89.0% | #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)))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (E.f64)) |
| ✓ | accuracy | 100.0% | (E.f64) |
| ✓ | accuracy | 99.9% | (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))) |
| ✓ | accuracy | 74.5% | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (E.f64)) |
| ✓ | accuracy | 100.0% | (E.f64) |
| ✓ | accuracy | 50.6% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) |
| ✓ | accuracy | 100.0% | (fma.f64 x x #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
| 76.0ms | 256× | 0 | valid |
Compiled 202 to 32 computations (84.2% saved)
ival-exp: 22.0ms (37% of total)ival-mult: 20.0ms (33.7% of total)ival-add: 8.0ms (13.5% of total)const: 4.0ms (6.7% of total)ival-div: 2.0ms (3.4% of total)ival-e: 2.0ms (3.4% of total)ival-sub: 1.0ms (1.7% of total)ival-neg: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (exp.f64 (fma.f64 x x #s(literal -1 binary64)))> |
#<alt (fma.f64 x x #s(literal -1 binary64))> |
#<alt #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))> |
#<alt (/.f64 #s(literal 1 binary64) (E.f64))> |
#<alt (E.f64)> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))> |
#<alt #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))> |
#<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)))> |
#<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))))> |
#<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)))> |
#<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))))> |
#<alt (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))> |
#<alt (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)> |
#<alt (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))> |
#<alt (*.f64 x (*.f64 x x))> |
#<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))> |
| Outputs |
|---|
#<alt (exp -1)> |
#<alt (+ (exp -1) (* (pow x 2) (exp -1)))> |
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))> |
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt -1> |
#<alt (- (pow x 2) 1)> |
#<alt (- (pow x 2) 1)> |
#<alt (- (pow x 2) 1)> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (exp -1)> |
#<alt (+ (exp -1) (* (pow x 2) (exp -1)))> |
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))> |
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (/ 1 (E))> |
#<alt (+ (/ 1 (E)) (/ (pow x 2) (E)))> |
#<alt (+ (/ 1 (E)) (/ (pow x 2) (E)))> |
#<alt (+ (/ 1 (E)) (/ (pow x 2) (E)))> |
#<alt (/ (pow x 2) (E))> |
#<alt (* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))> |
#<alt (/ (pow x 2) (E))> |
#<alt (* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))> |
#<alt (exp -1)> |
#<alt (+ (exp -1) (* (pow x 2) (exp -1)))> |
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))> |
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (/ 1 (E))> |
#<alt (+ (/ 1 (E)) (/ (pow x 2) (E)))> |
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))> |
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))> |
#<alt (* 1/2 (/ (pow x 4) (E)))> |
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))> |
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))> |
#<alt (* 1/2 (/ (pow x 4) (E)))> |
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))> |
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))> |
#<alt (exp -1)> |
#<alt (+ (exp -1) (* (pow x 2) (exp -1)))> |
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))> |
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (/ 1 (E))> |
#<alt (+ (/ 1 (E)) (/ (pow x 2) (E)))> |
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))> |
#<alt (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E)))> |
#<alt (* 1/6 (/ (pow x 6) (E)))> |
#<alt (* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))> |
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))> |
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))> |
#<alt (* 1/6 (/ (pow x 6) (E)))> |
#<alt (* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))> |
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))> |
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))> |
#<alt (exp -1)> |
#<alt (+ (exp -1) (* (pow x 2) (exp -1)))> |
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))> |
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt 1> |
#<alt (+ 1 (pow x 2))> |
#<alt (+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))> |
#<alt (* 1/2 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))> |
#<alt (* 1/2 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/2 (pow x 2))))> |
#<alt (* x (+ 1 (* 1/2 (pow x 2))))> |
#<alt (* x (+ 1 (* 1/2 (pow x 2))))> |
#<alt (* 1/2 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))> |
#<alt (* 1/2 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/6 (pow x 2)))> |
#<alt (+ 1/2 (* 1/6 (pow x 2)))> |
#<alt (+ 1/2 (* 1/6 (pow x 2)))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt 1> |
#<alt (+ 1 (pow x 2))> |
#<alt (+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))> |
#<alt (* 1/6 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))))> |
#<alt (* 1/6 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))))> |
42 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 |
| 15 508× | lower-fma.f64 |
| 15 508× | lower-fma.f32 |
| 4 078× | lower-*.f64 |
| 4 078× | lower-*.f32 |
| 2 018× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 110 | 1488 |
| 1 | 351 | 1418 |
| 2 | 980 | 1330 |
| 3 | 2365 | 1306 |
| 4 | 4393 | 1288 |
| 5 | 5812 | 1288 |
| 6 | 7016 | 1288 |
| 0 | 8014 | 1128 |
| 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)) |
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))))) |
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)))) |
1/2 |
(+ 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 |
(+ 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)))))) |
| 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 (*.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))) |
(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 (/.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 (*.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))) |
(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 (/.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 (*.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))) |
(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 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.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 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.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))) |
(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 (*.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))) |
(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 (*.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))) |
(* 1/6 (/ (pow x 6) (E))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.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 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (*.f64 x x) (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))))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(* 1/6 (/ (pow x 6) (E))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.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 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (*.f64 x x) (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))))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.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 (/.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 (*.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))) |
(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 (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 (* 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)) |
(* 1/2 (pow x 4)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x 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 (*.f64 x 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 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(* 1/2 (pow x 4)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x 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 (*.f64 x 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 (*.f64 x x) #s(literal 1/2 binary64)) 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 (* 1/2 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1 (* 1/2 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x 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 (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x 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 (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) |
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 |
#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 (*.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)) |
(* 1/6 (pow x 6)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x 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 x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) |
(* 1/6 (pow x 6)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x 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 x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) |
| 1× | batch-egg-rewrite |
| 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 | 180 |
| 0 | 52 | 172 |
| 1 | 227 | 146 |
| 2 | 1784 | 146 |
| 0 | 8331 | 142 |
| 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 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(*.f64 x (*.f64 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)) |
| 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)))) |
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(/.f64 (neg.f64 (neg.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 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 (neg.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 (neg.f64 (-.f64 #s(literal 1 binary64) (*.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 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x)))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.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))))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.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))))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x))))) (*.f64 x x) (-.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x x #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.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 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))) #s(literal 3 binary64)) (pow.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))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.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 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))) (/.f64 (*.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 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))) (fma.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))) (/.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))) (*.f64 (/.f64 (*.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 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))) (/.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))))))) |
(pow.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))) #s(literal -1 binary64)) |
(*.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))) |
(*.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 (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)) (*.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 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 (fma.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)) #s(literal 1 binary64)) (*.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))))) |
(*.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)) (*.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 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 #s(literal 1 binary64) (-.f64 (*.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 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 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 (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 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) (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) (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)) (*.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 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 (fma.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)) #s(literal 1 binary64)) (*.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))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (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 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) (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 (neg.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)) (*.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 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) (neg.f64 (-.f64 (fma.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)) #s(literal 1 binary64)) (*.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)))))) |
(*.f64 (neg.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 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) (neg.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) (*.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 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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.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))))) |
Compiled 38 756 to 2 890 computations (92.5% saved)
23 alts after pruning (21 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 354 | 21 | 1 375 |
| Fresh | 1 | 0 | 1 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 358 | 23 | 1 381 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
| 59.2% | (exp.f64 #s(approx (+ (* x x) -1) (*.f64 x x))) | |
| 74.5% | #s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) | |
| ▶ | 92.7% | #s(approx (exp (+ (* x x) -1)) (*.f64 (/.f64 #s(literal 1 binary64) (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)))) |
| 92.7% | #s(approx (exp (neg (- 1 (* x x)))) (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 (/.f64 #s(literal 1 binary64) (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64)))) | |
| 92.7% | #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)))) | |
| 74.5% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))) | |
| 92.7% | #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))) | |
| 89.0% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64))) | |
| 56.1% | #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)))) | |
| ▶ | 92.7% | #s(approx (exp (neg (- 1 (* x x)))) (/.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))))) |
| 74.5% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))) | |
| ✓ | 50.6% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) |
| 92.7% | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))) | |
| 68.9% | #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)))) | |
| ▶ | 92.7% | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.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 x (*.f64 x x)) x) #s(literal 1 binary64)))) |
| 68.9% | #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)))) | |
| 45.2% | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(approx (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (*.f64 x (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))) | |
| 44.5% | #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 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) | |
| 45.2% | #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)))))) | |
| 41.5% | #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 (*.f64 x x)))) (E.f64)))) | |
| ▶ | 41.8% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))))) |
| ▶ | 27.3% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64)))) |
Compiled 851 to 448 computations (47.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | 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 (/.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 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 (/.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 x (*.f64 x x)) x) #s(literal 1 binary64))) |
| ✓ | cost-diff | 1408 | (/.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)))) |
| ✓ | cost-diff | 0 | (E.f64) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (E.f64)) |
| ✓ | cost-diff | 0 | #s(approx (exp (+ (* x x) -1)) (*.f64 (/.f64 #s(literal 1 binary64) (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)))) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (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))) |
| ✓ | cost-diff | 0 | (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))) |
| ✓ | cost-diff | 0 | #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (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 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #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 | (E.f64) |
| ✓ | cost-diff | 0 | (/.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))) |
| ✓ | cost-diff | 0 | #s(approx (exp (neg (- 1 (* x x)))) (/.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))))) |
| ✓ | cost-diff | 704 | (/.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)))) |
| 12 972× | lower-fma.f32 |
| 12 960× | lower-fma.f64 |
| 3 634× | lower-*.f32 |
| 3 618× | lower-*.f64 |
| 2 116× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 510 |
| 0 | 93 | 461 |
| 1 | 214 | 426 |
| 2 | 450 | 426 |
| 3 | 954 | 426 |
| 4 | 1809 | 426 |
| 5 | 5146 | 426 |
| 0 | 8370 | 411 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) (/.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 #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)))) |
#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))) |
(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(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)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))))) |
#s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))))) |
(*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))) |
x |
(*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))) |
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(E.f64) |
#s(approx (exp (+ (* x x) -1)) (*.f64 (/.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (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) (E.f64)) |
#s(literal 1 binary64) |
(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)) |
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 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(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.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 x (*.f64 x x)) x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.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 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 (/.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 x (*.f64 x x)) x) #s(literal 1 binary64)) |
x |
(fma.f64 (/.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 x (*.f64 x x)) x) |
(/.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) (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 x x) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
(*.f64 x (*.f64 x x)) |
| Outputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) (/.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))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64))) |
(/.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 (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.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 (E.f64) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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)) |
(*.f64 x x) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
(*.f64 x (*.f64 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) |
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 x (/.f64 (fma.f64 x (*.f64 x #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 (* x 1/2))) x)) 1)) (/.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)) (E.f64)))) |
#s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))))) |
#s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)) (E.f64))) |
(*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))) |
(/.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)) (E.f64)) |
x |
(*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (E.f64)) |
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(E.f64) |
#s(approx (exp (+ (* x x) -1)) (*.f64 (/.f64 #s(literal 1 binary64) (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(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x 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)) (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 (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #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 (*.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)) |
(fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) |
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) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) |
(*.f64 x x) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
(*.f64 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)) |
(fma.f64 (*.f64 x 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(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.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 x (*.f64 x x)) x) #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x 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)) (fma.f64 x (fma.f64 (/.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 x (*.f64 x x)) x) #s(literal 1 binary64))) |
(/.f64 (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #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 (/.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 x (*.f64 x x)) x) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) |
x |
(fma.f64 (/.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 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) |
(/.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)))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (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 x x) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
(*.f64 x (*.f64 x x)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 99.8% | (/.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)))) |
| ✓ | accuracy | 99.1% | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 92.7% | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.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 x (*.f64 x x)) x) #s(literal 1 binary64)))) |
| ✓ | accuracy | 99.9% | (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 99.4% | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | accuracy | 92.7% | #s(approx (exp (+ (* x x) -1)) (*.f64 (/.f64 #s(literal 1 binary64) (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)))) |
| ✓ | accuracy | 99.8% | (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)) |
| ✓ | accuracy | 99.7% | (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))) |
| ✓ | accuracy | 89.0% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))))) |
| ✓ | accuracy | 52.5% | #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))))) |
| ✓ | accuracy | 100.0% | (E.f64) |
| ✓ | accuracy | 99.6% | (/.f64 (*.f64 x x) (E.f64)) |
| ✓ | accuracy | 74.5% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64)))) |
| ✓ | accuracy | 52.4% | #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.9% | (/.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))) |
| ✓ | accuracy | 99.8% | (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 92.7% | #s(approx (exp (neg (- 1 (* x x)))) (/.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))))) |
| 127.0ms | 256× | 0 | valid |
Compiled 416 to 54 computations (87% saved)
ival-mult: 32.0ms (33.7% of total)ival-sub: 27.0ms (28.5% of total)ival-add: 13.0ms (13.7% of total)ival-div: 11.0ms (11.6% of total)ival-exp: 4.0ms (4.2% of total)const: 4.0ms (4.2% of total)ival-e: 2.0ms (2.1% of total)ival-neg: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.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))))> |
#<alt #s(approx (exp (neg (- 1 (* x x)))) (/.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)))))> |
#<alt (/.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)))> |
#<alt (E.f64)> |
#<alt #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64))))> |
#<alt #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64)))> |
#<alt (/.f64 (*.f64 x x) (E.f64))> |
#<alt (*.f64 x x)> |
#<alt #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))))))> |
#<alt #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))))> |
#<alt (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))))> |
#<alt (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (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)))> |
#<alt #s(approx (exp (+ (* x x) -1)) (*.f64 (/.f64 #s(literal 1 binary64) (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))))> |
#<alt (/.f64 #s(literal 1 binary64) (E.f64))> |
#<alt (/.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))))> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.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 x (*.f64 x x)) x) #s(literal 1 binary64)))> |
#<alt #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.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 x (*.f64 x x)) x) #s(literal 1 binary64))))> |
#<alt (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))> |
#<alt (*.f64 x (*.f64 x x))> |
#<alt (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))> |
#<alt (*.f64 x #s(literal 1/6 binary64))> |
#<alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))> |
#<alt (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))> |
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))> |
| Outputs |
|---|
#<alt (/ 1 (E))> |
#<alt (+ (/ 1 (E)) (/ (pow x 2) (E)))> |
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))> |
#<alt (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E)))> |
#<alt (* 1/6 (/ (pow x 6) (E)))> |
#<alt (* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))> |
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))> |
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))> |
#<alt (* 1/6 (/ (pow x 6) (E)))> |
#<alt (* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))> |
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))> |
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))> |
#<alt (exp -1)> |
#<alt (+ (exp -1) (* (pow x 2) (exp -1)))> |
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))> |
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (E)> |
#<alt (+ (E) (* -1 (* (pow x 2) (E))))> |
#<alt (+ (E) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (E)) (* 1/2 (E))))) (E))))> |
#<alt (+ (E) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (+ (* -1 (E)) (* 1/2 (E)))) (+ (* -1/2 (E)) (* 1/6 (E)))))) (+ (* -1 (E)) (* 1/2 (E))))) (E))))> |
#<alt (* 6 (/ (E) (pow x 6)))> |
#<alt (/ (+ (* -18 (/ (E) (pow x 2))) (* 6 (E))) (pow x 6))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -54 (E)) (* 36 (E))) (pow x 4))) (* 6 (E))) (* 18 (/ (E) (pow x 2)))) (pow x 6))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -108 (E)) (+ (* -3 (+ (* -54 (E)) (* 36 (E)))) (* 36 (E)))) (pow x 6))) (* 6 (E))) (+ (* -54 (/ (E) (pow x 4))) (+ (* 18 (/ (E) (pow x 2))) (* 36 (/ (E) (pow x 4)))))) (pow x 6))> |
#<alt (* 6 (/ (E) (pow x 6)))> |
#<alt (/ (+ (* -18 (/ (E) (pow x 2))) (* 6 (E))) (pow x 6))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -54 (E)) (* 36 (E))) (pow x 4))) (* 6 (E))) (* 18 (/ (E) (pow x 2)))) (pow x 6))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -108 (E)) (+ (* -3 (+ (* -54 (E)) (* 36 (E)))) (* 36 (E)))) (pow x 6))) (* 6 (E))) (+ (* -54 (/ (E) (pow x 4))) (+ (* 18 (/ (E) (pow x 2))) (* 36 (/ (E) (pow x 4)))))) (pow x 6))> |
#<alt (exp -1)> |
#<alt (+ (exp -1) (* (pow x 2) (exp -1)))> |
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))> |
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (/ 1 (E))> |
#<alt (+ (/ 1 (E)) (/ (pow x 2) (E)))> |
#<alt (+ (/ 1 (E)) (/ (pow x 2) (E)))> |
#<alt (+ (/ 1 (E)) (/ (pow x 2) (E)))> |
#<alt (/ (pow x 2) (E))> |
#<alt (* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))> |
#<alt (/ (pow x 2) (E))> |
#<alt (* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))> |
#<alt (/ (pow x 2) (E))> |
#<alt (/ (pow x 2) (E))> |
#<alt (/ (pow x 2) (E))> |
#<alt (/ (pow x 2) (E))> |
#<alt (/ (pow x 2) (E))> |
#<alt (/ (pow x 2) (E))> |
#<alt (/ (pow x 2) (E))> |
#<alt (/ (pow x 2) (E))> |
#<alt (/ (pow x 2) (E))> |
#<alt (/ (pow x 2) (E))> |
#<alt (/ (pow x 2) (E))> |
#<alt (/ (pow x 2) (E))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (exp -1)> |
#<alt (+ (exp -1) (* (pow x 2) (exp -1)))> |
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))> |
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (/ 1 (E))> |
#<alt (+ (/ 1 (E)) (/ (pow x 2) (E)))> |
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))> |
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))> |
#<alt (* 1/2 (/ (pow x 4) (E)))> |
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))> |
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))> |
#<alt (* 1/2 (/ (pow x 4) (E)))> |
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))> |
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))> |
#<alt (/ (pow x 2) (E))> |
#<alt (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))> |
#<alt (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))> |
#<alt (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))> |
#<alt (* 1/2 (/ (pow x 4) (E)))> |
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* 1/2 (/ (pow x 4) (E)))> |
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (/ x (E))> |
#<alt (* x (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))> |
#<alt (* x (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))> |
#<alt (* x (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))> |
#<alt (* 1/2 (/ (pow x 3) (E)))> |
#<alt (* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* 1/2 (/ (pow x 3) (E)))> |
#<alt (* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (/ 1 (E))> |
#<alt (+ (/ 1 (E)) (/ (pow x 2) (E)))> |
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))> |
#<alt (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E)))> |
#<alt (* 1/6 (/ (pow x 6) (E)))> |
#<alt (* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))> |
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))> |
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))> |
#<alt (* 1/6 (/ (pow x 6) (E)))> |
#<alt (* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))> |
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))> |
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))> |
#<alt (exp -1)> |
#<alt (+ (exp -1) (* (pow x 2) (exp -1)))> |
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))> |
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/6 (pow x 2)))> |
#<alt (+ 1/2 (* 1/6 (pow x 2)))> |
#<alt (+ 1/2 (* 1/6 (pow x 2)))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (/ 1 (E))> |
#<alt (+ (/ 1 (E)) (/ (pow x 2) (E)))> |
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))> |
#<alt (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E)))> |
#<alt (* 1/6 (/ (pow x 6) (E)))> |
#<alt (* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))> |
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))> |
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))> |
#<alt (* 1/6 (/ (pow x 6) (E)))> |
#<alt (* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))> |
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))> |
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))> |
#<alt (exp -1)> |
#<alt (+ (exp -1) (* (pow x 2) (exp -1)))> |
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))> |
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/6 (pow x 2)))> |
#<alt (+ 1/2 (* 1/6 (pow x 2)))> |
#<alt (+ 1/2 (* 1/6 (pow x 2)))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (/ 1 (E))> |
#<alt (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))> |
#<alt (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))> |
#<alt (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))> |
#<alt (* 1/2 (/ (pow x 2) (E)))> |
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* 1/2 (/ (pow x 2) (E)))> |
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* 1/6 (pow x 2))))> |
#<alt (* x (+ 1/2 (* 1/6 (pow x 2))))> |
#<alt (* x (+ 1/2 (* 1/6 (pow x 2))))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/6 (pow x 2)))> |
#<alt (+ 1/2 (* 1/6 (pow x 2)))> |
#<alt (+ 1/2 (* 1/6 (pow x 2)))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt 2> |
#<alt (+ 2 (* -2/3 (pow x 2)))> |
#<alt (+ 2 (* (pow x 2) (- (* 2/9 (pow x 2)) 2/3)))> |
#<alt (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/9 (* -2/27 (pow x 2)))) 2/3)))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ (- 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (- (+ 6 (/ 54 (pow x 4))) (* 18 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (- (+ 6 (/ 54 (pow x 4))) (+ (* 18 (/ 1 (pow x 2))) (* 162 (/ 1 (pow x 6))))) (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ (- 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (- (+ 6 (/ 54 (pow x 4))) (* 18 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (- (+ 6 (/ 54 (pow x 4))) (+ (* 18 (/ 1 (pow x 2))) (* 162 (/ 1 (pow x 6))))) (pow x 2))> |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (* x (/ (+ (* x (* x 1/2)) 1) (E))) |
| 1.0ms | x | @ | inf | (/ (* x x) (E)) |
| 1.0ms | x | @ | 0 | (/ (E) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) |
| 0.0ms | x | @ | inf | (/ (E) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) |
| 0.0ms | x | @ | 0 | (* x (* x (/ (+ (* x (* x 1/2)) 1) (E)))) |
| 1× | egg-herbie |
| 16 434× | lower-fma.f64 |
| 16 434× | lower-fma.f32 |
| 3 590× | lower-*.f64 |
| 3 590× | lower-*.f32 |
| 3 370× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 180 | 2726 |
| 1 | 549 | 2587 |
| 2 | 1676 | 2476 |
| 3 | 4711 | 2385 |
| 0 | 8456 | 2204 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 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)) |
(E) |
(+ (E) (* -1 (* (pow x 2) (E)))) |
(+ (E) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (E)) (* 1/2 (E))))) (E)))) |
(+ (E) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (+ (* -1 (E)) (* 1/2 (E)))) (+ (* -1/2 (E)) (* 1/6 (E)))))) (+ (* -1 (E)) (* 1/2 (E))))) (E)))) |
(* 6 (/ (E) (pow x 6))) |
(/ (+ (* -18 (/ (E) (pow x 2))) (* 6 (E))) (pow x 6)) |
(/ (- (+ (* -1 (/ (+ (* -54 (E)) (* 36 (E))) (pow x 4))) (* 6 (E))) (* 18 (/ (E) (pow x 2)))) (pow x 6)) |
(/ (- (+ (* -1 (/ (+ (* -108 (E)) (+ (* -3 (+ (* -54 (E)) (* 36 (E)))) (* 36 (E)))) (pow x 6))) (* 6 (E))) (+ (* -54 (/ (E) (pow x 4))) (+ (* 18 (/ (E) (pow x 2))) (* 36 (/ (E) (pow x 4)))))) (pow x 6)) |
(* 6 (/ (E) (pow x 6))) |
(/ (+ (* -18 (/ (E) (pow x 2))) (* 6 (E))) (pow x 6)) |
(/ (- (+ (* -1 (/ (+ (* -54 (E)) (* 36 (E))) (pow x 4))) (* 6 (E))) (* 18 (/ (E) (pow x 2)))) (pow x 6)) |
(/ (- (+ (* -1 (/ (+ (* -108 (E)) (+ (* -3 (+ (* -54 (E)) (* 36 (E)))) (* 36 (E)))) (pow x 6))) (* 6 (E))) (+ (* -54 (/ (E) (pow x 4))) (+ (* 18 (/ (E) (pow x 2))) (* 36 (/ (E) (pow x 4)))))) (pow x 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) |
(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)))))) |
(/ (pow x 2) (E)) |
(* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) |
(* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) |
(* (pow x 2) (+ (* 1/2 (/ (pow x 2) (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))))) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (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))))) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) |
(/ x (E)) |
(* x (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) |
(* x (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) |
(* x (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) |
(* 1/2 (/ (pow x 3) (E))) |
(* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) |
(* 1/2 (/ (pow x 3) (E))) |
(* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) |
(/ 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)) |
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 (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)) |
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 (E)) |
(+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))) |
(+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))) |
(+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))) |
(* 1/2 (/ (pow x 2) (E))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) |
(* 1/2 (/ (pow x 2) (E))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (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 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))))) |
1/2 |
(+ 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))))) |
2 |
(+ 2 (* -2/3 (pow x 2))) |
(+ 2 (* (pow x 2) (- (* 2/9 (pow x 2)) 2/3))) |
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/9 (* -2/27 (pow x 2)))) 2/3))) |
(/ 6 (pow x 2)) |
(/ (- 6 (* 18 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 6 (/ 54 (pow x 4))) (* 18 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 6 (/ 54 (pow x 4))) (+ (* 18 (/ 1 (pow x 2))) (* 162 (/ 1 (pow x 6))))) (pow x 2)) |
(/ 6 (pow x 2)) |
(/ (- 6 (* 18 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 6 (/ 54 (pow x 4))) (* 18 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 6 (/ 54 (pow x 4))) (+ (* 18 (/ 1 (pow x 2))) (* 162 (/ 1 (pow x 6))))) (pow x 2)) |
| Outputs |
|---|
(/ 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)) (/.f64 #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))) |
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 (/.f64 x (E.f64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(* 1/6 (/ (pow x 6) (E))) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (E.f64)) |
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (E.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (E.f64) (*.f64 x x))))) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (E.f64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/6 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (E.f64) (*.f64 x (*.f64 x (*.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 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (E.f64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/6 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (E.f64) (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 #s(literal 1 binary64) (E.f64))) |
(* 1/6 (/ (pow x 6) (E))) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (E.f64)) |
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (E.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (E.f64) (*.f64 x x))))) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (E.f64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/6 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (E.f64) (*.f64 x (*.f64 x (*.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 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (E.f64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/6 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (E.f64) (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 #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)) (/.f64 #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))))))) |
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 (/.f64 x (E.f64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(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))) |
(E) |
(E.f64) |
(+ (E) (* -1 (* (pow x 2) (E)))) |
(-.f64 (E.f64) (*.f64 (E.f64) (*.f64 x x))) |
(+ (E) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (E)) (* 1/2 (E))))) (E)))) |
(fma.f64 x (*.f64 x (*.f64 (E.f64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (E.f64)) |
(+ (E) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (+ (* -1 (E)) (* 1/2 (E)))) (+ (* -1/2 (E)) (* 1/6 (E)))))) (+ (* -1 (E)) (* 1/2 (E))))) (E)))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (E.f64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (neg.f64 (E.f64)))) (E.f64)) |
(* 6 (/ (E) (pow x 6))) |
(/.f64 (*.f64 (E.f64) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(/ (+ (* -18 (/ (E) (pow x 2))) (* 6 (E))) (pow x 6)) |
(/.f64 (*.f64 (E.f64) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64))) |
(/ (- (+ (* -1 (/ (+ (* -54 (E)) (* 36 (E))) (pow x 4))) (* 6 (E))) (* 18 (/ (E) (pow x 2)))) (pow x 6)) |
(/.f64 (*.f64 (E.f64) (-.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 18 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64))) |
(/ (- (+ (* -1 (/ (+ (* -108 (E)) (+ (* -3 (+ (* -54 (E)) (* 36 (E)))) (* 36 (E)))) (pow x 6))) (* 6 (E))) (+ (* -54 (/ (E) (pow x 4))) (+ (* 18 (/ (E) (pow x 2))) (* 36 (/ (E) (pow x 4)))))) (pow x 6)) |
(/.f64 (fma.f64 #s(literal -18 binary64) (-.f64 (/.f64 (E.f64) (*.f64 x x)) (/.f64 (E.f64) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (E.f64) #s(literal 6 binary64) (/.f64 (*.f64 (E.f64) #s(literal 18 binary64)) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 6 binary64))) |
(* 6 (/ (E) (pow x 6))) |
(/.f64 (*.f64 (E.f64) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(/ (+ (* -18 (/ (E) (pow x 2))) (* 6 (E))) (pow x 6)) |
(/.f64 (*.f64 (E.f64) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64))) |
(/ (- (+ (* -1 (/ (+ (* -54 (E)) (* 36 (E))) (pow x 4))) (* 6 (E))) (* 18 (/ (E) (pow x 2)))) (pow x 6)) |
(/.f64 (*.f64 (E.f64) (-.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 18 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64))) |
(/ (- (+ (* -1 (/ (+ (* -108 (E)) (+ (* -3 (+ (* -54 (E)) (* 36 (E)))) (* 36 (E)))) (pow x 6))) (* 6 (E))) (+ (* -54 (/ (E) (pow x 4))) (+ (* 18 (/ (E) (pow x 2))) (* 36 (/ (E) (pow x 4)))))) (pow x 6)) |
(/.f64 (fma.f64 #s(literal -18 binary64) (-.f64 (/.f64 (E.f64) (*.f64 x x)) (/.f64 (E.f64) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (E.f64) #s(literal 6 binary64) (/.f64 (*.f64 (E.f64) #s(literal 18 binary64)) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 6 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 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #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))))))) |
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 (/.f64 x (E.f64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(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)) |
(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) |
(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)) (/.f64 #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))))))) |
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 (/.f64 x (E.f64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(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)) (/.f64 #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)) (/.f64 #s(literal 1 binary64) (E.f64))) |
(* 1/2 (/ (pow x 4) (E))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (E.f64) (*.f64 x x))))) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E)))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (E.f64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E)))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (E.f64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) |
(* 1/2 (/ (pow x 4) (E))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (E.f64) (*.f64 x x))))) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E)))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (E.f64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E)))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (E.f64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) |
(/ (pow x 2) (E)) |
(/.f64 (*.f64 x x) (E.f64)) |
(* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) |
(*.f64 (*.f64 x x) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))) |
(* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) |
(*.f64 (*.f64 x x) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))) |
(* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) |
(*.f64 (*.f64 x x) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))) |
(* 1/2 (/ (pow x 4) (E))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (E.f64) (*.f64 x x))))) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (E.f64) (*.f64 x x))))) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (E.f64) (*.f64 x x))))) |
(* 1/2 (/ (pow x 4) (E))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) |
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(* (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))) |
1/2 |
#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)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2/3 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -2/3 binary64)) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (- (* 2/9 (pow x 2)) 2/3))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/9 binary64)) #s(literal -2/3 binary64))) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/9 (* -2/27 (pow x 2)))) 2/3))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -2/27 binary64) #s(literal 2/9 binary64)) #s(literal -2/3 binary64)) #s(literal 2 binary64)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ (- 6 (* 18 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (+ 6 (/ 54 (pow x 4))) (* 18 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -18 binary64) (*.f64 x x)))) (*.f64 x x)) |
(/ (- (+ 6 (/ 54 (pow x 4))) (+ (* 18 (/ 1 (pow x 2))) (* 162 (/ 1 (pow x 6))))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal -18 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -162 binary64) (pow.f64 x #s(literal 6 binary64)))))) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ (- 6 (* 18 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (+ 6 (/ 54 (pow x 4))) (* 18 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -18 binary64) (*.f64 x x)))) (*.f64 x x)) |
(/ (- (+ 6 (/ 54 (pow x 4))) (+ (* 18 (/ 1 (pow x 2))) (* 162 (/ 1 (pow x 6))))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal -18 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -162 binary64) (pow.f64 x #s(literal 6 binary64)))))) (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 5 746× | lower-fma.f32 |
| 5 734× | lower-fma.f64 |
| 4 146× | lower-*.f32 |
| 4 130× | lower-*.f64 |
| 4 010× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 363 |
| 0 | 93 | 336 |
| 1 | 423 | 302 |
| 2 | 2556 | 302 |
| 0 | 8805 | 287 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.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 (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))) |
(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) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))))) |
#s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))))) |
(*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))) |
(*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (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(approx (exp (+ (* x x) -1)) (*.f64 (/.f64 #s(literal 1 binary64) (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) (E.f64)) |
(/.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 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.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 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 (/.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 x (*.f64 x x)) 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)) |
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)) |
(*.f64 x #s(literal 1/6 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 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.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)) (E.f64))) |
(+.f64 (/.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)) (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))) |
(+.f64 (*.f64 (/.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)) (E.f64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))) |
(exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) (log1p.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)))) #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 (*.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 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 (*.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 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 (*.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)) (E.f64)) (/.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)) (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 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 #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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (E.f64)) (/.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)) (E.f64))) |
(fma.f64 #s(literal 1 binary64) (/.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)) (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 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64) (/.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)) (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 (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 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (/.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)) (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 (*.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)) (E.f64)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (E.f64))) |
(fma.f64 (exp.f64 #s(literal -1/3 binary64)) (exp.f64 #s(literal -2/3 binary64)) (/.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)) (E.f64))) |
(fma.f64 (exp.f64 #s(literal -2/3 binary64)) (exp.f64 #s(literal -1/3 binary64)) (/.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)) (E.f64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) (/.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)) (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))) |
(neg.f64 (/.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 #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 (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 #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)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.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 (neg.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 (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 (*.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 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 (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 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) (*.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)))))) |
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(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 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 (*.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 (pow.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (pow.f64 (/.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))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) #s(literal -1 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 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) |
(exp.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (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))) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) (pow.f64 (/.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))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) #s(literal 1 binary64)) (pow.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)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
Compiled 47 164 to 3 377 computations (92.8% saved)
37 alts after pruning (33 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 603 | 19 | 1 622 |
| Fresh | 2 | 14 | 16 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 608 | 37 | 1 645 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
| 59.2% | (exp.f64 #s(approx (+ (* x x) -1) (*.f64 x x))) | |
| 92.7% | #s(approx (exp (+ (* x x) -1)) (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)))) | |
| 92.7% | #s(approx (exp (+ (* x x) -1)) (/.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)) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))) | |
| 92.7% | #s(approx (exp (+ (* x x) -1)) (/.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))) | |
| 74.5% | #s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) | |
| 68.9% | #s(approx (exp (+ (* x x) -1)) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) x) #s(literal 1 binary64)))) | |
| 92.7% | #s(approx (exp (+ (* x x) -1)) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 x x) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x) #s(literal 1 binary64)))) | |
| 92.7% | #s(approx (exp (neg (- 1 (* x x)))) (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 (/.f64 #s(literal 1 binary64) (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64)))) | |
| ▶ | 92.7% | #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)))) |
| 74.5% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))) | |
| 92.7% | #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))) | |
| 89.0% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64))) | |
| 56.1% | #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)))) | |
| ✓ | 92.7% | #s(approx (exp (neg (- 1 (* x x)))) (/.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))))) |
| 68.9% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (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 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))))) | |
| ✓ | 50.6% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) |
| 49.9% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (-.f64 (E.f64) (*.f64 (E.f64) (*.f64 x x)))))) | |
| ▶ | 92.7% | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))) |
| ▶ | 68.9% | #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)))) |
| 68.9% | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (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)))) | |
| 49.4% | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) 1/6) 1/2)) (fma.f64 x (*.f64 x #s(literal -2/3 binary64)) #s(literal 2 binary64)))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) | |
| 92.7% | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) | |
| 92.7% | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) 1/6) 1/2)) (/.f64 #s(literal 6 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) | |
| 68.9% | #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 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) | |
| 45.2% | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(approx (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (*.f64 x (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))) | |
| 44.5% | #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 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) | |
| 45.2% | #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)))))) | |
| 41.5% | #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 (*.f64 x x)))) (E.f64)))) | |
| 41.8% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (E.f64))))) | |
| ▶ | 41.8% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (E.f64)) (*.f64 x x)))) |
| 41.8% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) x))))) | |
| 41.5% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 x #s(approx (/ (+ (* x (* x 1/2)) 1) (E)) (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (E.f64))))))) | |
| 41.5% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (E.f64)))))) | |
| ▶ | 27.3% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 x (E.f64)))))) |
| ✓ | 27.3% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64)))) |
| 27.3% | #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))))) |
Compiled 1 439 to 770 computations (46.5% saved)
| 1× | egg-herbie |
Found 20 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 (/.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)))) |
| ✓ | cost-diff | 320 | (*.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))) |
| ✓ | 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 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))) |
| ✓ | cost-diff | 320 | (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (E.f64)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (E.f64)) (*.f64 x x)) |
| ✓ | cost-diff | 0 | #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (E.f64)) (*.f64 x x))) |
| ✓ | cost-diff | 0 | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (E.f64)) (*.f64 x x)))) |
| ✓ | cost-diff | 0 | #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 x (E.f64))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 x (E.f64)))) |
| ✓ | cost-diff | 0 | #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 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 #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 x (E.f64)))))) |
| ✓ | cost-diff | 0 | (*.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)) |
| ✓ | cost-diff | 0 | (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)) |
| ✓ | cost-diff | 0 | #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)))) |
| ✓ | cost-diff | 640 | (/.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))) |
| 11 066× | lower-fma.f32 |
| 11 046× | lower-fma.f64 |
| 4 524× | lower-*.f32 |
| 4 502× | lower-*.f64 |
| 2 224× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 623 |
| 0 | 94 | 576 |
| 1 | 217 | 523 |
| 2 | 523 | 511 |
| 3 | 1361 | 511 |
| 4 | 3013 | 511 |
| 0 | 8276 | 490 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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)))) |
(/.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))) |
(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 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x 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 (*.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)) |
(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 #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 x (E.f64)))))) |
#s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 x (E.f64))))) |
(*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 x (E.f64)))) |
x |
#s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 x (E.f64))) |
(/.f64 x (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 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (E.f64)) (*.f64 x x)))) |
#s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (E.f64)) (*.f64 x x))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (E.f64)) (*.f64 x x)) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (E.f64)) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 x x) |
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 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (E.f64)) |
#s(literal 1 binary64) |
(E.f64) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
x |
(*.f64 x (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 x x) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
(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 (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)))) |
(*.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))) |
(/.f64 #s(literal 1 binary64) (E.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)) |
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) |
(/.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))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x 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)) |
#s(literal 1/6 binary64) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
#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 (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 (*.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))) |
(/.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 (*.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)) |
(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) (E.f64)) (E.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)) |
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)) |
(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 #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 x (E.f64)))))) |
#s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 x (E.f64))))) |
(*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 x (E.f64)))) |
x |
#s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 x (E.f64))) |
(/.f64 x (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 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (E.f64)) (*.f64 x x)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x)) (E.f64)))) |
#s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (E.f64)) (*.f64 x x))) |
#s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x)) (E.f64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (E.f64)) (*.f64 x x)) |
(/.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x)) (E.f64)) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (E.f64)) |
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
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 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))) |
#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)) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) |
(/.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 #s(literal 1 binary64) (E.f64)) |
#s(literal 1 binary64) |
(E.f64) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) (fma.f64 x x #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)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
x |
(*.f64 x (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 x x) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
(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 (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 x x) (/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 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))) x) #s(literal 1 binary64)) (E.f64))) |
(*.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))) |
(/.f64 (fma.f64 x (fma.f64 (*.f64 x x) (/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 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))) 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 (/.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)) |
(fma.f64 x (fma.f64 (*.f64 x x) (/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 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))) x) #s(literal 1 binary64)) |
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) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 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))) x) |
(/.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 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 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))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x 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)) |
#s(literal 1/6 binary64) |
#s(literal -1/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 92.7% | #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)))) |
| ✓ | accuracy | 66.6% | (/.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))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 99.9% | (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 99.8% | (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 92.7% | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (E.f64)) (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (E.f64)) |
| ✓ | accuracy | 89.0% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (E.f64)) (*.f64 x x)))) |
| ✓ | accuracy | 52.5% | #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (E.f64)) (*.f64 x x))) |
| ✓ | accuracy | 99.4% | (/.f64 x (E.f64)) |
| ✓ | accuracy | 89.0% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 x (E.f64)))))) |
| ✓ | accuracy | 52.5% | #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 x (E.f64))))) |
| ✓ | accuracy | 52.1% | #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 x (E.f64))) |
| ✓ | accuracy | 99.8% | (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 99.2% | (/.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))) |
| ✓ | accuracy | 98.4% | (*.f64 (E.f64) (E.f64)) |
| ✓ | accuracy | 92.7% | #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)))) |
| 95.0ms | 256× | 0 | valid |
Compiled 480 to 57 computations (88.1% saved)
ival-mult: 34.0ms (48.8% of total)ival-add: 14.0ms (20.1% of total)ival-div: 8.0ms (11.5% of total)const: 6.0ms (8.6% of total)ival-exp: 2.0ms (2.9% of total)ival-e: 2.0ms (2.9% of total)ival-sub: 1.0ms (1.4% of total)exact: 1.0ms (1.4% of total)ival-neg: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.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)))> |
#<alt #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))))> |
#<alt (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))> |
#<alt (*.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))> |
#<alt #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 x (E.f64))))))> |
#<alt #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 x (E.f64)))))> |
#<alt (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 x (E.f64))))> |
#<alt #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 x (E.f64)))> |
#<alt #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (E.f64)) (*.f64 x x))))> |
#<alt #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (E.f64)) (*.f64 x x)))> |
#<alt (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (E.f64)) (*.f64 x x))> |
#<alt (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (E.f64))> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))> |
#<alt (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))> |
#<alt #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))> |
#<alt (/.f64 #s(literal 1 binary64) (E.f64))> |
#<alt (*.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)))> |
#<alt #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))))> |
#<alt (E.f64)> |
#<alt (*.f64 (E.f64) (E.f64))> |
#<alt (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))> |
#<alt (/.f64 x (E.f64))> |
#<alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))> |
#<alt (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))> |
#<alt (/.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)))> |
#<alt (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))> |
#<alt (*.f64 x (*.f64 x x))> |
| Outputs |
|---|
#<alt (/ 1 (E))> |
#<alt (+ (/ 1 (E)) (/ (pow x 2) (E)))> |
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))> |
#<alt (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E)))> |
#<alt (* 1/6 (/ (pow x 6) (E)))> |
#<alt (* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))> |
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))> |
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))> |
#<alt (* 1/6 (/ (pow x 6) (E)))> |
#<alt (* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))> |
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))> |
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))> |
#<alt (exp -1)> |
#<alt (+ (exp -1) (* (pow x 2) (exp -1)))> |
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))> |
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (E)> |
#<alt (+ (E) (* (pow x 2) (E)))> |
#<alt (+ (E) (* (pow x 2) (+ (E) (* 1/2 (* (pow x 2) (E))))))> |
#<alt (+ (E) (* (pow x 2) (+ (E) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (E))) (* 1/2 (E)))))))> |
#<alt (* 1/6 (* (pow x 6) (E)))> |
#<alt (* (pow x 6) (+ (* 1/6 (E)) (* 1/2 (/ (E) (pow x 2)))))> |
#<alt (* (pow x 6) (+ (* 1/6 (E)) (+ (* 1/2 (/ (E) (pow x 2))) (/ (E) (pow x 4)))))> |
#<alt (* (pow x 6) (+ (* 1/6 (E)) (+ (* 1/2 (/ (E) (pow x 2))) (+ (/ (E) (pow x 4)) (/ (E) (pow x 6))))))> |
#<alt (* 1/6 (* (pow x 6) (E)))> |
#<alt (* (pow x 6) (+ (* 1/6 (E)) (* 1/2 (/ (E) (pow x 2)))))> |
#<alt (* (pow x 6) (+ (* 1/6 (E)) (+ (* 1/2 (/ (E) (pow x 2))) (/ (E) (pow x 4)))))> |
#<alt (* (pow x 6) (+ (* 1/6 (E)) (+ (* 1/2 (/ (E) (pow x 2))) (+ (/ (E) (pow x 4)) (/ (E) (pow x 6))))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/2 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))))> |
#<alt (* 1/6 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/6 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (exp -1)> |
#<alt (+ (exp -1) (* (pow x 2) (exp -1)))> |
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))> |
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (/ 1 (E))> |
#<alt (+ (/ 1 (E)) (/ (pow x 2) (E)))> |
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))> |
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))> |
#<alt (* 1/2 (/ (pow x 4) (E)))> |
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))> |
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))> |
#<alt (* 1/2 (/ (pow x 4) (E)))> |
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))> |
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))> |
#<alt (/ (pow x 2) (E))> |
#<alt (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))> |
#<alt (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))> |
#<alt (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))> |
#<alt (* 1/2 (/ (pow x 4) (E)))> |
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* 1/2 (/ (pow x 4) (E)))> |
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (/ x (E))> |
#<alt (* x (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))> |
#<alt (* x (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))> |
#<alt (* x (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))> |
#<alt (* 1/2 (/ (pow x 3) (E)))> |
#<alt (* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* 1/2 (/ (pow x 3) (E)))> |
#<alt (* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (exp -1)> |
#<alt (+ (exp -1) (* (pow x 2) (exp -1)))> |
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))> |
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (/ 1 (E))> |
#<alt (+ (/ 1 (E)) (/ (pow x 2) (E)))> |
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))> |
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))> |
#<alt (* 1/2 (/ (pow x 4) (E)))> |
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))> |
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))> |
#<alt (* 1/2 (/ (pow x 4) (E)))> |
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))> |
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))> |
#<alt (/ (pow x 2) (E))> |
#<alt (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))> |
#<alt (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))> |
#<alt (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))> |
#<alt (* 1/2 (/ (pow x 4) (E)))> |
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* 1/2 (/ (pow x 4) (E)))> |
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (/ 1 (E))> |
#<alt (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))> |
#<alt (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))> |
#<alt (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))> |
#<alt (* 1/2 (/ (pow x 2) (E)))> |
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* 1/2 (/ (pow x 2) (E)))> |
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))> |
#<alt (/ 1 (E))> |
#<alt (+ (/ 1 (E)) (/ (pow x 2) (E)))> |
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))> |
#<alt (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E)))> |
#<alt (* 1/6 (/ (pow x 6) (E)))> |
#<alt (* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))> |
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))> |
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))> |
#<alt (* 1/6 (/ (pow x 6) (E)))> |
#<alt (* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))> |
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))> |
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))> |
#<alt 1> |
#<alt (+ 1 (pow x 2))> |
#<alt (+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))> |
#<alt (* 1/6 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))))> |
#<alt (* 1/6 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))))> |
#<alt (exp -1)> |
#<alt (+ (exp -1) (* (pow x 2) (exp -1)))> |
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))> |
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (/ 1 (E))> |
#<alt (+ (/ 1 (E)) (/ (pow x 2) (E)))> |
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))> |
#<alt (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E)))> |
#<alt (* 1/6 (/ (pow x 6) (E)))> |
#<alt (* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))> |
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))> |
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))> |
#<alt (* 1/6 (/ (pow x 6) (E)))> |
#<alt (* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))> |
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))> |
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))> |
#<alt (exp -1)> |
#<alt (+ (exp -1) (* (pow x 2) (exp -1)))> |
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))> |
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt (exp (- (pow x 2) 1))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/6 (pow x 2)))> |
#<alt (+ 1/2 (* 1/6 (pow x 2)))> |
#<alt (+ 1/2 (* 1/6 (pow x 2)))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (/ x (E))> |
#<alt (/ x (E))> |
#<alt (/ x (E))> |
#<alt (/ x (E))> |
#<alt (/ x (E))> |
#<alt (/ x (E))> |
#<alt (/ x (E))> |
#<alt (/ x (E))> |
#<alt (/ x (E))> |
#<alt (/ x (E))> |
#<alt (/ x (E))> |
#<alt (/ x (E))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* 1/6 (pow x 2))))> |
#<alt (* x (+ 1/2 (* 1/6 (pow x 2))))> |
#<alt (* x (+ 1/2 (* 1/6 (pow x 2))))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))> |
#<alt (* 1/6 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/6 (pow x 2)))> |
#<alt (+ 1/2 (* 1/6 (pow x 2)))> |
#<alt (+ 1/2 (* 1/6 (pow x 2)))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt -1/2> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
72 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) |
| 0.0ms | x | @ | inf | (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) |
| 0.0ms | x | @ | -inf | (/ x (E)) |
| 0.0ms | x | @ | inf | (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) |
| 0.0ms | x | @ | 0 | (/ (+ (* (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) (E)) (E)) (* (E) (E))) |
| 1× | egg-herbie |
| 19 284× | lower-fma.f64 |
| 19 284× | lower-fma.f32 |
| 4 162× | lower-*.f64 |
| 4 162× | lower-*.f32 |
| 2 488× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 140 | 3044 |
| 1 | 454 | 2899 |
| 2 | 1305 | 2731 |
| 3 | 3136 | 2614 |
| 4 | 5541 | 2568 |
| 5 | 7127 | 2568 |
| 0 | 8115 | 2318 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 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)) |
(E) |
(+ (E) (* (pow x 2) (E))) |
(+ (E) (* (pow x 2) (+ (E) (* 1/2 (* (pow x 2) (E)))))) |
(+ (E) (* (pow x 2) (+ (E) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (E))) (* 1/2 (E))))))) |
(* 1/6 (* (pow x 6) (E))) |
(* (pow x 6) (+ (* 1/6 (E)) (* 1/2 (/ (E) (pow x 2))))) |
(* (pow x 6) (+ (* 1/6 (E)) (+ (* 1/2 (/ (E) (pow x 2))) (/ (E) (pow x 4))))) |
(* (pow x 6) (+ (* 1/6 (E)) (+ (* 1/2 (/ (E) (pow x 2))) (+ (/ (E) (pow x 4)) (/ (E) (pow x 6)))))) |
(* 1/6 (* (pow x 6) (E))) |
(* (pow x 6) (+ (* 1/6 (E)) (* 1/2 (/ (E) (pow x 2))))) |
(* (pow x 6) (+ (* 1/6 (E)) (+ (* 1/2 (/ (E) (pow x 2))) (/ (E) (pow x 4))))) |
(* (pow x 6) (+ (* 1/6 (E)) (+ (* 1/2 (/ (E) (pow x 2))) (+ (/ (E) (pow x 4)) (/ (E) (pow x 6)))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/2 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))) |
(* (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))))) |
(* 1/6 (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))))) |
(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)))))) |
(/ (pow x 2) (E)) |
(* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) |
(* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) |
(* (pow x 2) (+ (* 1/2 (/ (pow x 2) (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))))) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (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))))) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) |
(/ x (E)) |
(* x (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) |
(* x (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) |
(* x (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) |
(* 1/2 (/ (pow x 3) (E))) |
(* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) |
(* 1/2 (/ (pow x 3) (E))) |
(* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 3) (+ (* 1/2 (/ 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)))))) |
(/ (pow x 2) (E)) |
(* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) |
(* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) |
(* (pow x 2) (+ (* 1/2 (/ (pow x 2) (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))))) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (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))))) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) |
(/ 1 (E)) |
(+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))) |
(+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))) |
(+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))) |
(* 1/2 (/ (pow x 2) (E))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) |
(* 1/2 (/ (pow x 2) (E))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) |
(/ 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)))))) |
(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)) |
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))))) |
(/ x (E)) |
(/ x (E)) |
(/ x (E)) |
(/ x (E)) |
(/ x (E)) |
(/ x (E)) |
(/ x (E)) |
(/ x (E)) |
(/ x (E)) |
(/ x (E)) |
(/ x (E)) |
(/ x (E)) |
(* 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))))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))) |
(* 1/6 (pow x 4)) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/6 (pow x 4)) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
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 |
(- (* 1/6 (pow x 2)) 1/2) |
(- (* 1/6 (pow x 2)) 1/2) |
(- (* 1/6 (pow x 2)) 1/2) |
(* 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 |
|---|
(/ 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 (*.f64 x 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 x x) (/.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (E.f64))) |
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E)))))) |
(*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) |
(fma.f64 x (/.f64 x (E.f64)) (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.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 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(* 1/6 (/ (pow x 6) (E))) |
(*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (E.f64))) |
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E)))))) |
(*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) |
(fma.f64 x (/.f64 x (E.f64)) (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.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 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.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 (/.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 (*.f64 x 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))) |
(E) |
(E.f64) |
(+ (E) (* (pow x 2) (E))) |
(fma.f64 (E.f64) (*.f64 x x) (E.f64)) |
(+ (E) (* (pow x 2) (+ (E) (* 1/2 (* (pow x 2) (E)))))) |
(fma.f64 (E.f64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x)) (E.f64)) |
(+ (E) (* (pow x 2) (+ (E) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (E))) (* 1/2 (E))))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 (E.f64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (E.f64)) (E.f64)) |
(* 1/6 (* (pow x 6) (E))) |
(*.f64 (*.f64 x x) (*.f64 (E.f64) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (+ (* 1/6 (E)) (* 1/2 (/ (E) (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (E.f64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(* (pow x 6) (+ (* 1/6 (E)) (+ (* 1/2 (/ (E) (pow x 2))) (/ (E) (pow x 4))))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (E.f64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 (E.f64) (*.f64 x x))) |
(* (pow x 6) (+ (* 1/6 (E)) (+ (* 1/2 (/ (E) (pow x 2))) (+ (/ (E) (pow x 4)) (/ (E) (pow x 6)))))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (E.f64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (fma.f64 (E.f64) (*.f64 x x) (E.f64))) |
(* 1/6 (* (pow x 6) (E))) |
(*.f64 (*.f64 x x) (*.f64 (E.f64) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (+ (* 1/6 (E)) (* 1/2 (/ (E) (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (E.f64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(* (pow x 6) (+ (* 1/6 (E)) (+ (* 1/2 (/ (E) (pow x 2))) (/ (E) (pow x 4))))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (E.f64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 (E.f64) (*.f64 x x))) |
(* (pow x 6) (+ (* 1/6 (E)) (+ (* 1/2 (/ (E) (pow x 2))) (+ (/ (E) (pow x 4)) (/ (E) (pow x 6)))))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (E.f64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (fma.f64 (E.f64) (*.f64 x x) (E.f64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/2 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)) |
(* 1/6 (pow x 6)) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))) |
(* (pow x 6) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x x)) |
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x x)) |
(* 1/6 (pow x 6)) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))) |
(* (pow x 6) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x x)) |
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x 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 (*.f64 x 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 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.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 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.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))) |
(/ (pow x 2) (E)) |
(/.f64 (*.f64 x x) (E.f64)) |
(* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) |
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(+ (* (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 (*.f64 x 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 x x) (/.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (E.f64))) |
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E)))))) |
(*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) |
(fma.f64 x (/.f64 x (E.f64)) (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.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 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(* 1/6 (/ (pow x 6) (E))) |
(*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (E.f64))) |
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E)))))) |
(*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) |
(fma.f64 x (/.f64 x (E.f64)) (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.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 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.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 (/.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 (*.f64 x 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))) |
1/2 |
#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)) |
(/ 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)) |
(* 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 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* (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 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* (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))) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(* 1/6 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(* 1/6 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 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 |
#s(literal -1/2 binary64) |
(- (* 1/6 (pow x 2)) 1/2) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(- (* 1/6 (pow x 2)) 1/2) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(- (* 1/6 (pow x 2)) 1/2) |
(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× | batch-egg-rewrite |
| 5 382× | lower-fma.f32 |
| 5 364× | lower-fma.f64 |
| 4 750× | lower-*.f32 |
| 4 730× | lower-*.f64 |
| 3 008× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 485 |
| 0 | 94 | 431 |
| 1 | 419 | 394 |
| 2 | 3458 | 376 |
| 0 | 8260 | 361 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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 (*.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)))) |
(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 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(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 x (E.f64)))))) |
#s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 x (E.f64))))) |
(*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 x (E.f64)))) |
#s(approx (* x (/ (+ (* x (* x 1/2)) 1) (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 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (E.f64)) (*.f64 x x)))) |
#s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (E.f64)) (*.f64 x x))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (E.f64)) (*.f64 x x)) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (E.f64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) (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 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (E.f64)) |
(*.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 (/.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)))) |
(E.f64) |
(*.f64 (E.f64) (E.f64)) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(/.f64 x (E.f64)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 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))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
(*.f64 x (*.f64 x x)) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (*.f64 (/.f64 x (E.f64)) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))) |
(+.f64 (*.f64 (/.f64 x (E.f64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(+.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) (*.f64 (/.f64 x (E.f64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x))))) |
(+.f64 (*.f64 (/.f64 x (E.f64)) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) (/.f64 #s(literal 1 binary64) (E.f64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (E.f64) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.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 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 x (*.f64 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 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #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 x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal -1/64 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (-.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64) #s(literal 1/16 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/144 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64) #s(literal 1/16 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/144 binary64))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.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 (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 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/216 binary64)) #s(literal -1/8 binary64)) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) (-.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64) #s(literal 1/16 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/144 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (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)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/4 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))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 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 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.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 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 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) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/216 binary64) #s(literal -1/8 binary64))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.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 (pow.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal -1/64 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64) #s(literal 1/16 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/144 binary64))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64) #s(literal -1/16 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) |
(+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal -1/2 binary64)) |
(-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (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)) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/216 binary64) #s(literal -1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)))) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.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 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/216 binary64) #s(literal -1/8 binary64)) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.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 x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/216 binary64) #s(literal -1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))) (-.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (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)))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/216 binary64) #s(literal -1/8 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.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 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/216 binary64) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 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 78 605 to 3 624 computations (95.4% saved)
40 alts after pruning (34 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 130 | 12 | 2 142 |
| Fresh | 6 | 22 | 28 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 2 139 | 40 | 2 179 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
| 59.2% | (exp.f64 #s(approx (+ (* x x) -1) (*.f64 x x))) | |
| 92.7% | #s(approx (exp (+ (* x x) -1)) (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)))) | |
| 92.7% | #s(approx (exp (+ (* x x) -1)) (/.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)) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))) | |
| 92.7% | #s(approx (exp (+ (* x x) -1)) (/.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))) | |
| 74.5% | #s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) | |
| 68.9% | #s(approx (exp (+ (* x x) -1)) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) x) #s(literal 1 binary64)))) | |
| 92.7% | #s(approx (exp (+ (* x x) -1)) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 x x) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x) #s(literal 1 binary64)))) | |
| 92.7% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (E.f64))) | |
| 92.7% | #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)) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))) (E.f64)) (*.f64 (E.f64) (E.f64)))) | |
| 74.5% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))) | |
| 92.5% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 #s(approx (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))))) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))) | |
| 92.7% | #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))) | |
| 89.0% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64))) | |
| 56.1% | #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)))) | |
| 92.0% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (sqrt.f64 (E.f64))) (sqrt.f64 (E.f64))) (*.f64 (E.f64) (E.f64)))) | |
| 92.7% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) (E)) (E)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 (E.f64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (E.f64)) (E.f64))) (*.f64 (E.f64) (E.f64)))) | |
| ✓ | 92.7% | #s(approx (exp (neg (- 1 (* x x)))) (/.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))))) |
| 68.9% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (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 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))))) | |
| ✓ | 50.6% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) |
| 49.9% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (-.f64 (E.f64) (*.f64 (E.f64) (*.f64 x x)))))) | |
| 68.9% | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.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 x) (fma.f64 x x #s(literal 1 binary64))))) | |
| 46.0% | #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)) #s(approx (+ (* (* x x) 1/6) -1/2) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) | |
| 68.9% | #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 x) (*.f64 (*.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)))) | |
| 49.4% | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) 1/6) 1/2)) (fma.f64 x (*.f64 x #s(literal -2/3 binary64)) #s(literal 2 binary64)))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) | |
| 92.7% | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) 1/6) 1/2)) (/.f64 #s(literal 6 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) | |
| 68.9% | #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 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) | |
| 45.2% | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(approx (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (*.f64 x (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))) | |
| 45.2% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) (E)) (E)) (* (E) (E))) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (E.f64))))) | |
| 45.2% | #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)))))) | |
| 41.5% | #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 (*.f64 x x)))) (E.f64)))) | |
| 41.8% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (E.f64))))) | |
| ✓ | 41.8% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (E.f64)) (*.f64 x x)))) |
| 41.5% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 #s(approx (/ (+ (* (* x x) 1/2) 1) (E)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (E.f64)))) (*.f64 x x)))) | |
| 41.8% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) x))))) | |
| 41.5% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (E.f64)))))) | |
| ✓ | 27.3% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 x (E.f64)))))) |
| 27.3% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x)))))) | |
| ✓ | 27.3% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64)))) |
| 27.3% | #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))))) |
Compiled 1 935 to 641 computations (66.9% 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 x) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 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)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (-.f64 (E.f64) (*.f64 (E.f64) (*.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)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x)))))) |
#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)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 (*.f64 x (*.f64 x (*.f64 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 #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 (*.f64 x (*.f64 (*.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 x #s(approx (/ (+ (* x (* x 1/2)) 1) (E)) (/.f64 (*.f64 x (*.f64 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 #s(approx (/ (+ (* (* x x) 1/2) 1) (E)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (E.f64)))) (*.f64 x x)))) |
#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)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x #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 (* x 1/2))) x)) 1)) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (E.f64)) (*.f64 x x)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.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 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) 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)))) #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)))) #s(approx (/ (+ (* (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) (E)) (E)) (* (E) (E))) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (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) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (+ (* x x) -1)) (/.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))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(approx (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (*.f64 x (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))) |
#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 (+ (* x x) -1)) (*.f64 (/.f64 #s(literal 1 binary64) (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(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 #s(approx (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))))) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) (E)) (E)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 (E.f64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (E.f64)) (E.f64))) (*.f64 (E.f64) (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 (+ (* x x) -1)) (/.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)) (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 (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 (+ (* x x) -1)) (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)))) |
#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 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) 1/6) 1/2)) (fma.f64 x (*.f64 x #s(literal -2/3 binary64)) #s(literal 2 binary64)))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (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 (/.f64 #s(literal 1 binary64) (E.f64))) (/.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 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) 1/6) 1/2)) (/.f64 #s(literal 6 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) |
#s(approx (exp (+ (* x x) -1)) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 x x) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #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 (/.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 x (*.f64 x x)) x) #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (sqrt.f64 (E.f64))) (sqrt.f64 (E.f64))) (*.f64 (E.f64) (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)) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))) (E.f64)) (*.f64 (E.f64) (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)) #s(approx (+ (* (* x x) 1/6) -1/2) (*.f64 (*.f64 x x) #s(literal 1/6 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 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.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)))) |
#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 (+ (* x x) -1)) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #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 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (*.f64 x x))) (*.f64 x x)))) (*.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 (*.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)))) |
#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 #s(literal 1 binary64) (E.f64)) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.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 x) (fma.f64 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)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (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 x (*.f64 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 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (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)))) |
(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)))) |
| Outputs |
|---|
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
5 calls:
| 18.0ms | x |
| 16.0ms | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 13.0ms | (*.f64 x x) |
| 12.0ms | (-.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 x) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 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)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (-.f64 (E.f64) (*.f64 (E.f64) (*.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)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x)))))) |
#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)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 (*.f64 x (*.f64 x (*.f64 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 #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 (*.f64 x (*.f64 (*.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 x #s(approx (/ (+ (* x (* x 1/2)) 1) (E)) (/.f64 (*.f64 x (*.f64 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 #s(approx (/ (+ (* (* x x) 1/2) 1) (E)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (E.f64)))) (*.f64 x x)))) |
#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)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x #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 (* x 1/2))) x)) 1)) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (E.f64)) (*.f64 x x)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.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 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) 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)))) #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)))) #s(approx (/ (+ (* (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) (E)) (E)) (* (E) (E))) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (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) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (+ (* x x) -1)) (/.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))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(approx (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (*.f64 x (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))) |
#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 (+ (* x x) -1)) (*.f64 (/.f64 #s(literal 1 binary64) (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(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 #s(approx (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))))) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) (E)) (E)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 (E.f64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (E.f64)) (E.f64))) (*.f64 (E.f64) (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 (+ (* x x) -1)) (/.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)) (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 (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 (+ (* x x) -1)) (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)))) |
#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 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) 1/6) 1/2)) (fma.f64 x (*.f64 x #s(literal -2/3 binary64)) #s(literal 2 binary64)))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (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 (/.f64 #s(literal 1 binary64) (E.f64))) (/.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 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) 1/6) 1/2)) (/.f64 #s(literal 6 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) |
#s(approx (exp (+ (* x x) -1)) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 x x) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #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 (/.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 x (*.f64 x x)) x) #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (sqrt.f64 (E.f64))) (sqrt.f64 (E.f64))) (*.f64 (E.f64) (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)) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))) (E.f64)) (*.f64 (E.f64) (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)) #s(approx (+ (* (* x x) 1/6) -1/2) (*.f64 (*.f64 x x) #s(literal 1/6 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 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.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)))) |
#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 (+ (* x x) -1)) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #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 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (*.f64 x x))) (*.f64 x x)))) (*.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 (*.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)))) |
#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 #s(literal 1 binary64) (E.f64)) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.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 x) (fma.f64 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)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (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 x (*.f64 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 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (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)))) |
(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 #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))))) |
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) |
5 calls:
| 14.0ms | x |
| 14.0ms | (*.f64 x x) |
| 12.0ms | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 11.0ms | (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 |
|---|---|---|
| 99.7% | 2 | x |
| 99.7% | 2 | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 99.7% | 2 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 99.7% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 99.7% | 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 x) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 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)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (-.f64 (E.f64) (*.f64 (E.f64) (*.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)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x)))))) |
#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)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 (*.f64 x (*.f64 x (*.f64 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 #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 (*.f64 x (*.f64 (*.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 x #s(approx (/ (+ (* x (* x 1/2)) 1) (E)) (/.f64 (*.f64 x (*.f64 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 #s(approx (/ (+ (* (* x x) 1/2) 1) (E)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (E.f64)))) (*.f64 x x)))) |
#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)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x #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 (* x 1/2))) x)) 1)) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (E.f64)) (*.f64 x x)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.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 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) 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)))) #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)))) #s(approx (/ (+ (* (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) (E)) (E)) (* (E) (E))) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (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) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (+ (* x x) -1)) (/.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))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(approx (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (*.f64 x (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))) |
#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 (+ (* x x) -1)) (*.f64 (/.f64 #s(literal 1 binary64) (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(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 #s(approx (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))))) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) (E)) (E)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 (E.f64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (E.f64)) (E.f64))) (*.f64 (E.f64) (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 (+ (* x x) -1)) (/.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)) (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 (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 (+ (* x x) -1)) (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)))) |
#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 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) 1/6) 1/2)) (fma.f64 x (*.f64 x #s(literal -2/3 binary64)) #s(literal 2 binary64)))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (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 (/.f64 #s(literal 1 binary64) (E.f64))) (/.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 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) 1/6) 1/2)) (/.f64 #s(literal 6 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) |
#s(approx (exp (+ (* x x) -1)) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 x x) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #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 (/.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 x (*.f64 x x)) x) #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (sqrt.f64 (E.f64))) (sqrt.f64 (E.f64))) (*.f64 (E.f64) (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)) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))) (E.f64)) (*.f64 (E.f64) (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)) #s(approx (+ (* (* x x) 1/6) -1/2) (*.f64 (*.f64 x x) #s(literal 1/6 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 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.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)))) |
#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 (+ (* x x) -1)) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #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 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (*.f64 x x))) (*.f64 x x)))) (*.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 (*.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)))) |
#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 #s(literal 1 binary64) (E.f64)) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.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 x) (fma.f64 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)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (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 x (*.f64 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 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (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)))) |
| 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 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (E.f64)))))) |
5 calls:
| 13.0ms | x |
| 12.0ms | (*.f64 x x) |
| 12.0ms | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 11.0ms | (-.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 |
|---|---|---|
| 95.2% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 95.2% | 2 | x |
| 92.7% | 1 | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 95.2% | 2 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 95.2% | 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 x) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 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)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (-.f64 (E.f64) (*.f64 (E.f64) (*.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)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x)))))) |
#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)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 (*.f64 x (*.f64 x (*.f64 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 #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 (*.f64 x (*.f64 (*.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 x #s(approx (/ (+ (* x (* x 1/2)) 1) (E)) (/.f64 (*.f64 x (*.f64 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 #s(approx (/ (+ (* (* x x) 1/2) 1) (E)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (E.f64)))) (*.f64 x x)))) |
#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)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x #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 (* x 1/2))) x)) 1)) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (E.f64)) (*.f64 x x)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.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 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) 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)))) #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)))) #s(approx (/ (+ (* (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) (E)) (E)) (* (E) (E))) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (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) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (+ (* x x) -1)) (/.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))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(approx (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (*.f64 x (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))) |
#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 (+ (* x x) -1)) (*.f64 (/.f64 #s(literal 1 binary64) (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(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 #s(approx (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))))) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) (E)) (E)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 (E.f64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (E.f64)) (E.f64))) (*.f64 (E.f64) (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 (+ (* x x) -1)) (/.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)) (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 (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 (+ (* x x) -1)) (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)))) |
#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 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) 1/6) 1/2)) (fma.f64 x (*.f64 x #s(literal -2/3 binary64)) #s(literal 2 binary64)))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (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 (/.f64 #s(literal 1 binary64) (E.f64))) (/.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 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) 1/6) 1/2)) (/.f64 #s(literal 6 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))) |
#s(approx (exp (+ (* x x) -1)) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 x x) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #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 (/.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 x (*.f64 x x)) x) #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (sqrt.f64 (E.f64))) (sqrt.f64 (E.f64))) (*.f64 (E.f64) (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)) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))) (E.f64)) (*.f64 (E.f64) (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)) #s(approx (+ (* (* x x) 1/6) -1/2) (*.f64 (*.f64 x x) #s(literal 1/6 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 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.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)))) |
#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 (+ (* x x) -1)) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #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 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (*.f64 x x))) (*.f64 x x)))) (*.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 (*.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)))) |
#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 #s(literal 1 binary64) (E.f64)) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.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 x) (fma.f64 x x #s(literal 1 binary64))))) |
| Outputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) (E)) (E)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 (E.f64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (E.f64)) (E.f64))) (*.f64 (E.f64) (E.f64)))) |
4 calls:
| 13.0ms | x |
| 11.0ms | (*.f64 x x) |
| 11.0ms | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 10.0ms | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.7% | 1 | x |
| 92.7% | 1 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 92.7% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 92.7% | 1 | (*.f64 x x) |
Compiled 19 to 12 computations (36.8% 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 x) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 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)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (-.f64 (E.f64) (*.f64 (E.f64) (*.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)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x)))))) |
#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)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 (*.f64 x (*.f64 x (*.f64 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 #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 (*.f64 x (*.f64 (*.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 x #s(approx (/ (+ (* x (* x 1/2)) 1) (E)) (/.f64 (*.f64 x (*.f64 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 #s(approx (/ (+ (* (* x x) 1/2) 1) (E)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (E.f64)))) (*.f64 x x)))) |
#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)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x #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 (* x 1/2))) x)) 1)) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (E.f64)) (*.f64 x x)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.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 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) 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)))) #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)))) #s(approx (/ (+ (* (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) (E)) (E)) (* (E) (E))) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (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) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (+ (* x x) -1)) (/.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))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(approx (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1) (*.f64 x (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))) |
#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 (+ (* x x) -1)) (*.f64 (/.f64 #s(literal 1 binary64) (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(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 #s(approx (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))))) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) (fma.f64 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:
| 8.0ms | x |
| 7.0ms | (*.f64 x x) |
| 7.0ms | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 6.0ms | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 6.0ms | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.7% | 1 | x |
| 92.7% | 1 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 92.7% | 1 | (*.f64 x x) |
| 92.7% | 1 | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 92.7% | 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 x) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 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)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (-.f64 (E.f64) (*.f64 (E.f64) (*.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)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x)))))) |
#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)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 (*.f64 x (*.f64 x (*.f64 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 #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 (*.f64 x (*.f64 (*.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 x #s(approx (/ (+ (* x (* x 1/2)) 1) (E)) (/.f64 (*.f64 x (*.f64 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 #s(approx (/ (+ (* (* x x) 1/2) 1) (E)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (E.f64)))) (*.f64 x x)))) |
#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)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x #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 (* x 1/2))) x)) 1)) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (E.f64)) (*.f64 x x)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.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 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) 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)))) #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)))) #s(approx (/ (+ (* (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) (E)) (E)) (* (E) (E))) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (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 #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 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64))) |
5 calls:
| 6.0ms | x |
| 6.0ms | (*.f64 x x) |
| 5.0ms | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 5.0ms | (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 |
|---|---|---|
| 92.7% | 2 | x |
| 92.7% | 2 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 92.7% | 2 | (*.f64 x x) |
| 92.7% | 2 | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 92.7% | 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 x) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 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)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (-.f64 (E.f64) (*.f64 (E.f64) (*.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)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x)))))) |
#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)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 (*.f64 x (*.f64 x (*.f64 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 #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 (*.f64 x (*.f64 (*.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 x #s(approx (/ (+ (* x (* x 1/2)) 1) (E)) (/.f64 (*.f64 x (*.f64 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 #s(approx (/ (+ (* (* x x) 1/2) 1) (E)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (E.f64)))) (*.f64 x x)))) |
#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)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x #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 (* x 1/2))) x)) 1)) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (E.f64)) (*.f64 x x)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.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 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) 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)))) |
| Outputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64))) |
5 calls:
| 6.0ms | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 6.0ms | x |
| 5.0ms | (*.f64 x x) |
| 5.0ms | (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 |
|---|---|---|
| 89.0% | 1 | x |
| 89.0% | 1 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 89.0% | 1 | (*.f64 x x) |
| 89.0% | 1 | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 89.0% | 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 x) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 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)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (-.f64 (E.f64) (*.f64 (E.f64) (*.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)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x)))))) |
#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)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 (*.f64 x (*.f64 x (*.f64 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 #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 (*.f64 x (*.f64 (*.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 x #s(approx (/ (+ (* x (* x 1/2)) 1) (E)) (/.f64 (*.f64 x (*.f64 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 #s(approx (/ (+ (* (* x x) 1/2) 1) (E)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (E.f64)))) (*.f64 x x)))) |
#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)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x #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 (* x 1/2))) x)) 1)) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (E.f64)) (*.f64 x x)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (E.f64))))) |
| Outputs |
|---|
#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)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))))) |
5 calls:
| 5.0ms | 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))) |
| 4.0ms | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.0% | 2 | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 89.0% | 2 | x |
| 89.0% | 2 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 89.0% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 89.0% | 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 x) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 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)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (-.f64 (E.f64) (*.f64 (E.f64) (*.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)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x)))))) |
#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)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 (*.f64 x (*.f64 x (*.f64 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 #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 (*.f64 x (*.f64 (*.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 x #s(approx (/ (+ (* x (* x 1/2)) 1) (E)) (/.f64 (*.f64 x (*.f64 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 #s(approx (/ (+ (* (* x x) 1/2) 1) (E)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (E.f64)))) (*.f64 x x)))) |
#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)))) |
| Outputs |
|---|
#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)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (E.f64)))))) |
5 calls:
| 4.0ms | 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 |
|---|---|---|
| 89.0% | 2 | x |
| 89.0% | 2 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 89.0% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 89.0% | 2 | (*.f64 x x) |
| 89.0% | 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 x) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 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)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (-.f64 (E.f64) (*.f64 (E.f64) (*.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)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x)))))) |
#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))))) |
| Outputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))) |
5 calls:
| 3.0ms | (*.f64 x x) |
| 3.0ms | x |
| 3.0ms | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 3.0ms | (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 |
|---|---|---|
| 74.5% | 1 | x |
| 74.5% | 1 | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 74.5% | 1 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 74.5% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 74.5% | 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 x) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 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)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (-.f64 (E.f64) (*.f64 (E.f64) (*.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)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x)))))) |
| Outputs |
|---|
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
5 calls:
| 3.0ms | x |
| 2.0ms | (*.f64 x x) |
| 2.0ms | (-.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 |
|---|---|---|
| 74.5% | 1 | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 74.5% | 1 | x |
| 74.5% | 1 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 74.5% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 74.5% | 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 x) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 x (E.f64)))))) |
| Outputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) |
5 calls:
| 2.0ms | x |
| 1.0ms | (*.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 |
|---|---|---|
| 74.3% | 2 | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 74.3% | 2 | x |
| 74.3% | 2 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 74.3% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 74.3% | 2 | (*.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 | (-.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 |
|---|---|---|
| 50.6% | 1 | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 50.6% | 1 | x |
| 50.6% | 1 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 50.6% | 1 | (*.f64 x x) |
| 50.6% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
Compiled 27 to 18 computations (33.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.8597705487780543 | 31207157288.956364 |
Compiled 11 to 10 computations (9.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.005102685953941e+149 | 5.0919641509501525e+155 |
Compiled 11 to 10 computations (9.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -31207157287.956364 | 0.14022945122194574 |
Compiled 11 to 10 computations (9.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.8691587829725614 | +inf |
Compiled 11 to 10 computations (9.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.8691587829725614 | +inf |
Compiled 11 to 10 computations (9.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -31207157287.956364 | 0.14022945122194574 |
Compiled 11 to 10 computations (9.1% saved)
| 1× | egg-herbie |
| 466× | distribute-lft-neg-in_binary64 |
| 258× | neg-mul-1_binary64 |
| 248× | neg-sub0_binary64 |
| 212× | unsub-neg_binary64 |
| 190× | sub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 117 | 551 |
| 1 | 146 | 551 |
| 2 | 157 | 551 |
| 3 | 175 | 549 |
| 4 | 220 | 549 |
| 5 | 317 | 549 |
| 6 | 512 | 549 |
| 7 | 692 | 549 |
| 8 | 874 | 549 |
| 9 | 1033 | 549 |
| 10 | 1171 | 549 |
| 11 | 1297 | 549 |
| 12 | 1400 | 549 |
| 13 | 1459 | 549 |
| 14 | 1477 | 549 |
| 15 | 1480 | 549 |
| 1× | saturated |
| Inputs |
|---|
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(if (<=.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (exp (neg (- 1 (* x x)))) (/.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))))) (exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))) |
(if (<=.f64 (*.f64 x x) #s(literal 999999999999999980835596172437374590573120014030318793091164810154100112203678582976298268616221151962702060266176005440567032331208403948233373515776 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 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (E.f64))))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) (E)) (E)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 (E.f64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (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))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -20000000000 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 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)))) (/.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64))) |
(if (<=.f64 (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #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)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))))))) |
(if (<=.f64 (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #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)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (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 (+ (* 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 -20000000000 binary64)) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x 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))) |
| Outputs |
|---|
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(if (<=.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (exp (neg (- 1 (* x x)))) (/.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))))) (exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))) |
(if (<=.f64 (*.f64 x x) #s(literal 999999999999999980835596172437374590573120014030318793091164810154100112203678582976298268616221151962702060266176005440567032331208403948233373515776 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 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (E.f64))))))) |
(if (<=.f64 (*.f64 x x) #s(literal 999999999999999980835596172437374590573120014030318793091164810154100112203678582976298268616221151962702060266176005440567032331208403948233373515776 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 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (E.f64))))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) (E)) (E)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 (E.f64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (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))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -20000000000 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 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -20000000000 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 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.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)))) (/.f64 (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (E.f64))) |
(if (<=.f64 (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #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)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))))))) |
(if (<=.f64 (exp.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 1 binary64)) #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)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))))))) |
(if (<=.f64 (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #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)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (E.f64))))))) |
(if (<=.f64 (exp.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 1 binary64)) #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)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (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 (+ (* 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 -20000000000 binary64)) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x 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))) |
| 19 284× | lower-fma.f64 |
| 19 284× | lower-fma.f32 |
| 16 434× | lower-fma.f64 |
| 16 434× | lower-fma.f32 |
| 15 508× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 180 | 2726 |
| 1 | 549 | 2587 |
| 2 | 1676 | 2476 |
| 3 | 4711 | 2385 |
| 0 | 8456 | 2204 |
| 0 | 110 | 1488 |
| 1 | 351 | 1418 |
| 2 | 980 | 1330 |
| 3 | 2365 | 1306 |
| 4 | 4393 | 1288 |
| 5 | 5812 | 1288 |
| 6 | 7016 | 1288 |
| 0 | 8014 | 1128 |
| 0 | 30 | 180 |
| 0 | 52 | 172 |
| 1 | 227 | 146 |
| 2 | 1784 | 146 |
| 0 | 8331 | 142 |
| 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 |
| 0 | 140 | 3044 |
| 1 | 454 | 2899 |
| 2 | 1305 | 2731 |
| 3 | 3136 | 2614 |
| 4 | 5541 | 2568 |
| 5 | 7127 | 2568 |
| 0 | 8115 | 2318 |
| 0 | 6 | 21 |
| 0 | 10 | 21 |
| 1 | 37 | 19 |
| 2 | 227 | 19 |
| 3 | 1923 | 19 |
| 0 | 9304 | 16 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 544 to 224 computations (58.8% saved)
(abs x)
Compiled 640 to 162 computations (74.7% saved)
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