
Time bar (total: 12.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 50.4% | 49.6% | 0% | 0% | 0% | 0 |
| 100% | 50.4% | 0% | 49.6% | 0% | 0% | 0% | 1 |
Compiled 13 to 11 computations (15.4% saved)
| 2.8s | 5 633× | 2 | valid |
| 747.0ms | 2 421× | 1 | valid |
| 13.0ms | 202× | 0 | valid |
ival-exp: 2.2s (70% of total)ival-add: 362.0ms (11.3% of total)adjust: 275.0ms (8.6% of total)ival-sub: 151.0ms (4.7% of total)ival-fabs: 80.0ms (2.5% of total)ival-<=: 48.0ms (1.5% of total)ival-neg: 32.0ms (1% of total)exact: 9.0ms (0.3% of total)ival-assert: 3.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 134 | 1 | (6.97001952694411e-162) | 0 | - | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 0 | 0 | - | 0 | - | (-.f64 (exp.f64 x) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (exp.f64 x) |
| 0 | 3 | (199.31340691593593) | 0 | - | (exp.f64 (neg.f64 x)) |
| 0 | 0 | - | 0 | - | (neg.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) | cancellation | 135 | 0 |
exp.f64 | (exp.f64 (neg.f64 x)) | sensitivity | 3 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 134 | 1 |
| - | 4 | 117 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 134 | 0 | 1 |
| - | 4 | 0 | 117 |
| number | freq |
|---|---|
| 0 | 118 |
| 1 | 138 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 165.0ms | 362× | 2 | valid |
| 26.0ms | 136× | 1 | valid |
| 1.0ms | 14× | 0 | valid |
Compiled 55 to 25 computations (54.5% saved)
ival-exp: 122.0ms (74.8% of total)adjust: 17.0ms (10.4% of total)ival-add: 13.0ms (8% of total)ival-sub: 7.0ms (4.3% of total)ival-neg: 2.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 244× | lower-fma.f64 |
| 244× | lower-fma.f32 |
| 104× | lower-+.f32 |
| 102× | lower-+.f64 |
| 102× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 17 |
| 1 | 31 | 17 |
| 2 | 81 | 16 |
| 3 | 183 | 16 |
| 4 | 308 | 16 |
| 5 | 389 | 16 |
| 6 | 416 | 16 |
| 0 | 7 | 8 |
| 0 | 12 | 8 |
| 1 | 24 | 8 |
| 2 | 40 | 8 |
| 3 | 63 | 8 |
| 4 | 102 | 8 |
| 5 | 168 | 8 |
| 6 | 273 | 8 |
| 7 | 329 | 8 |
| 8 | 382 | 8 |
| 9 | 384 | 8 |
| 0 | 384 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| Outputs |
|---|
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(abs x)
Compiled 9 to 7 computations (22.2% saved)
Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 52.4% | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
Compiled 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (exp.f64 (neg.f64 x)) | |
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | (-.f64 (exp.f64 x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 244× | lower-fma.f64 |
| 244× | lower-fma.f32 |
| 104× | lower-+.f32 |
| 102× | lower-+.f64 |
| 102× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 21 |
| 0 | 12 | 21 |
| 1 | 24 | 21 |
| 2 | 40 | 21 |
| 3 | 63 | 21 |
| 4 | 102 | 21 |
| 5 | 168 | 21 |
| 6 | 273 | 21 |
| 7 | 329 | 21 |
| 8 | 382 | 21 |
| 9 | 384 | 21 |
| 0 | 384 | 21 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
(-.f64 (exp.f64 x) #s(literal 2 binary64)) |
(exp.f64 x) |
x |
#s(literal 2 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(-.f64 (exp.f64 x) #s(literal 2 binary64)) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
(exp.f64 x) |
x |
#s(literal 2 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (exp.f64 (neg.f64 x)) | |
| accuracy | 0 | (exp.f64 x) | |
| accuracy | 0.02734375 | (-.f64 (exp.f64 x) #s(literal 2 binary64)) | |
| accuracy | 30.52264868104303 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 71.0ms | 181× | 2 | valid |
| 9.0ms | 68× | 1 | valid |
| 0.0ms | 7× | 0 | valid |
Compiled 23 to 9 computations (60.9% saved)
ival-exp: 49.0ms (74.3% of total)adjust: 8.0ms (12.1% of total)ival-add: 3.0ms (4.6% of total)ival-sub: 3.0ms (4.6% of total)ival-neg: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))> |
#<alt (-.f64 (exp.f64 x) #s(literal 2 binary64))> |
#<alt (exp.f64 x)> |
#<alt (exp.f64 (neg.f64 x))> |
| Outputs |
|---|
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt -1> |
#<alt (- x 1)> |
#<alt (- (* x (+ 1 (* 1/2 x))) 1)> |
#<alt (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)> |
#<alt (- (exp x) 2)> |
#<alt (- (exp x) 2)> |
#<alt (- (exp x) 2)> |
#<alt (- (exp x) 2)> |
#<alt (- (exp x) 2)> |
#<alt (- (exp x) 2)> |
#<alt (- (exp x) 2)> |
#<alt (- (exp x) 2)> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- (* 1/2 x) 1)))> |
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))> |
#<alt (exp (neg x))> |
#<alt (exp (neg x))> |
#<alt (exp (neg x))> |
#<alt (exp (neg x))> |
#<alt (exp (* -1 x))> |
#<alt (exp (* -1 x))> |
#<alt (exp (* -1 x))> |
#<alt (exp (* -1 x))> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+ (- (exp x) 2) (exp (neg x))) |
| 0.0ms | x | @ | -inf | (+ (- (exp x) 2) (exp (neg x))) |
| 0.0ms | x | @ | inf | (+ (- (exp x) 2) (exp (neg x))) |
| 0.0ms | x | @ | 0 | (- (exp x) 2) |
| 0.0ms | x | @ | 0 | (exp (neg x)) |
| 1× | egg-herbie |
| 17 068× | lower-fma.f64 |
| 17 068× | lower-fma.f32 |
| 3 466× | lower-+.f64 |
| 3 466× | lower-+.f32 |
| 3 160× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 269 |
| 1 | 168 | 268 |
| 2 | 397 | 262 |
| 3 | 1053 | 262 |
| 4 | 1755 | 262 |
| 5 | 3019 | 262 |
| 6 | 3833 | 262 |
| 7 | 5252 | 262 |
| 8 | 6659 | 262 |
| 0 | 8202 | 241 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
-1 |
(- x 1) |
(- (* x (+ 1 (* 1/2 x))) 1) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1) |
(- (exp x) 2) |
(- (exp x) 2) |
(- (exp x) 2) |
(- (exp x) 2) |
(- (exp x) 2) |
(- (exp x) 2) |
(- (exp x) 2) |
(- (exp x) 2) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
| Outputs |
|---|
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
(- (+ (exp x) (exp (neg x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (neg x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (neg x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (neg x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
(- (* x (+ 1 (* 1/2 x))) 1) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(- (exp x) 2) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
(- (exp x) 2) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
(- (exp x) 2) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
(- (exp x) 2) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
(- (exp x) 2) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
(- (exp x) 2) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
(- (exp x) 2) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
(- (exp x) 2) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
| 3 586× | lower-*.f64 |
| 3 586× | lower-*.f32 |
| 3 204× | lower-/.f64 |
| 3 204× | lower-/.f32 |
| 2 998× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 0 | 12 | 17 |
| 1 | 51 | 17 |
| 2 | 394 | 17 |
| 3 | 6866 | 15 |
| 0 | 8047 | 14 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
(-.f64 (exp.f64 x) #s(literal 2 binary64)) |
(exp.f64 x) |
(exp.f64 (neg.f64 x)) |
| Outputs |
|---|
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(+.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (neg.f64 x))) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) |
(+.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (neg.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))) |
(+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) |
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)) (exp.f64 x)) |
(-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) |
(-.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (neg.f64 (exp.f64 (neg.f64 x)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) |
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (exp.f64 (neg.f64 x)))) |
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 (neg.f64 x)))) |
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (-.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (exp.f64 (+.f64 x x)))) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (-.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (exp.f64 (+.f64 x x))))) |
(-.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (-.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))) (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64))))) |
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (-.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) |
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(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) #s(literal -64 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64) #s(literal 16 binary64))) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) #s(literal -64 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) #s(literal -16 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal -512 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (fma.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64) #s(literal 64 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (+.f64 (neg.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 8 binary64))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (+.f64 (neg.f64 (exp.f64 (+.f64 x x))) #s(literal 4 binary64))) (neg.f64 (+.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) |
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))) (+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))))) (+.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal -512 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (fma.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64) #s(literal 64 binary64)))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64) #s(literal 16 binary64)))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64)))))) |
(*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64))) |
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 (+.f64 (neg.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))) |
(*.f64 (+.f64 (neg.f64 (exp.f64 (+.f64 x x))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))) |
(*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) (exp.f64 (+.f64 x x))) (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))))) |
(*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (-.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64)))) (-.f64 (exp.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) #s(literal -2 binary64) #s(literal 4 binary64)))) |
(exp.f64 x) |
(/.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) |
(*.f64 (exp.f64 x) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 x)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x)) |
(neg.f64 (neg.f64 (exp.f64 (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))) |
(pow.f64 (exp.f64 x) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) x) |
(pow.f64 (neg.f64 (neg.f64 (exp.f64 x))) #s(literal -1 binary64)) |
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x)))) |
(*.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64)))) |
Compiled 6 883 to 793 computations (88.5% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 285 | 8 | 293 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 285 | 9 | 294 |
| Status | Accuracy | Program |
|---|---|---|
| 52.2% | (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) | |
| ▶ | 52.1% | (/.f64 (/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 x)) |
| 52.4% | (/.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))) | |
| ▶ | 52.3% | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
| ✓ | 52.4% | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| ▶ | 98.5% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))) |
| ▶ | 98.4% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))) |
| 98.1% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))) | |
| ▶ | 97.7% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
Compiled 241 to 133 computations (44.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | (/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 2 binary64))) | |
| cost-diff | 384 | (/.f64 (/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 x)) | |
| cost-diff | 6592 | (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) | |
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | (-.f64 (exp.f64 x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x))) | |
| cost-diff | 576 | (/.f64 #s(literal 1 binary64) (exp.f64 x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x) | |
| cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)) | |
| cost-diff | 0 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) | |
| cost-diff | 0 | (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x) | |
| cost-diff | 0 | (*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) | |
| cost-diff | 0 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))) |
| 9 730× | lower-fma.f32 |
| 9 718× | lower-fma.f64 |
| 3 080× | lower-*.f32 |
| 3 068× | lower-*.f64 |
| 1 990× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 288 |
| 0 | 65 | 275 |
| 1 | 138 | 275 |
| 2 | 314 | 269 |
| 3 | 660 | 269 |
| 4 | 1208 | 269 |
| 5 | 1875 | 269 |
| 6 | 2590 | 269 |
| 7 | 3704 | 269 |
| 8 | 5801 | 269 |
| 0 | 8014 | 263 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
x |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) |
(*.f64 x x) |
#s(literal 1/20160 binary64) |
#s(literal 1/360 binary64) |
#s(literal 1/12 binary64) |
(*.f64 x (*.f64 x x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)) |
x |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x) |
(*.f64 x x) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) |
#s(literal 1/360 binary64) |
#s(literal 1/12 binary64) |
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(-.f64 (exp.f64 x) #s(literal 2 binary64)) |
(exp.f64 x) |
x |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
#s(literal 1 binary64) |
(/.f64 (/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 x)) |
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 2 binary64))) |
(fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) |
(exp.f64 x) |
x |
(+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) |
(exp.f64 (+.f64 x x)) |
(+.f64 x x) |
#s(literal -4 binary64) |
(+.f64 (exp.f64 x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
x |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) |
(*.f64 x x) |
#s(literal 1/20160 binary64) |
#s(literal 1/360 binary64) |
#s(literal 1/12 binary64) |
(*.f64 x (*.f64 x x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) x))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)) |
(*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) x)) |
x |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) x) |
(*.f64 x x) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
#s(literal 1/360 binary64) |
#s(literal 1/12 binary64) |
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(-.f64 (exp.f64 x) #s(literal 2 binary64)) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
(exp.f64 x) |
x |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(exp.f64 (neg.f64 x)) |
#s(literal 1 binary64) |
(/.f64 (/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 x)) |
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) |
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (exp.f64 x))) |
(fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) |
(fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)) |
(exp.f64 x) |
x |
(+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) |
(exp.f64 (+.f64 x x)) |
(+.f64 x x) |
#s(literal -4 binary64) |
(+.f64 (exp.f64 x) #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) (exp.f64 x)) |
#s(literal 2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.015625 | (+.f64 (exp.f64 x) #s(literal 2 binary64)) | |
| accuracy | 0.03125 | (/.f64 (/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 x)) | |
| accuracy | 0.4124955095711419 | (/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 2 binary64))) | |
| accuracy | 30.42676802414545 | (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) | |
| accuracy | 0 | (exp.f64 x) | |
| accuracy | 0.02734375 | (-.f64 (exp.f64 x) #s(literal 2 binary64)) | |
| accuracy | 0.03515625 | (/.f64 #s(literal 1 binary64) (exp.f64 x)) | |
| accuracy | 30.52264868104303 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x))) | |
| accuracy | 0.0078125 | (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x) | |
| accuracy | 0.01171875 | (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) | |
| accuracy | 0.296875 | (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) | |
| accuracy | 1.037641761788345 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 1.458100448134306 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) | |
| accuracy | 0.01171875 | (*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) | |
| accuracy | 0.0859375 | (*.f64 x (*.f64 x x)) | |
| accuracy | 0.21875 | (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) | |
| accuracy | 0.9639696805598083 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))) |
| 197.0ms | 181× | 2 | valid |
| 42.0ms | 68× | 1 | valid |
| 2.0ms | 7× | 0 | valid |
Compiled 268 to 40 computations (85.1% saved)
ival-exp: 69.0ms (33.9% of total)adjust: 35.0ms (17.2% of total)ival-add: 35.0ms (17.2% of total)ival-mult: 30.0ms (14.8% of total)const: 16.0ms (7.9% of total)ival-div: 13.0ms (6.4% of total)ival-sub: 4.0ms (2% of total)ival-neg: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)))> |
#<alt (*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))> |
#<alt (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)> |
#<alt (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))> |
#<alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))> |
#<alt (*.f64 x x)> |
#<alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)))> |
#<alt (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))> |
#<alt (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)> |
#<alt (/.f64 #s(literal 1 binary64) (exp.f64 x))> |
#<alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))> |
#<alt (-.f64 (exp.f64 x) #s(literal 2 binary64))> |
#<alt (exp.f64 x)> |
#<alt (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))> |
#<alt (/.f64 (/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 x))> |
#<alt (/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 2 binary64)))> |
#<alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))> |
#<alt (*.f64 x (*.f64 x x))> |
#<alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))> |
#<alt (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))> |
#<alt (+.f64 (exp.f64 x) #s(literal 2 binary64))> |
| Outputs |
|---|
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))> |
#<alt 1/12> |
#<alt (+ 1/12 (* 1/360 (pow x 2)))> |
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))> |
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 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 (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* 1/360 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/360 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* 1/360 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/360 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- (* 1/2 x) 1)))> |
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))> |
#<alt (/ 1 (exp x))> |
#<alt (/ 1 (exp x))> |
#<alt (/ 1 (exp x))> |
#<alt (/ 1 (exp x))> |
#<alt (/ 1 (exp x))> |
#<alt (/ 1 (exp x))> |
#<alt (/ 1 (exp x))> |
#<alt (/ 1 (exp x))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))> |
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)> |
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)> |
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)> |
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)> |
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)> |
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)> |
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)> |
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)> |
#<alt -1> |
#<alt (- x 1)> |
#<alt (- (* x (+ 1 (* 1/2 x))) 1)> |
#<alt (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)> |
#<alt (- (exp x) 2)> |
#<alt (- (exp x) 2)> |
#<alt (- (exp x) 2)> |
#<alt (- (exp x) 2)> |
#<alt (- (exp x) 2)> |
#<alt (- (exp x) 2)> |
#<alt (- (exp x) 2)> |
#<alt (- (exp x) 2)> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (* 4 x)))> |
#<alt (* (pow x 2) (+ 3 (* x (+ 4 (* 13/4 x)))))> |
#<alt (* (pow x 2) (+ 3 (* x (+ 4 (* x (+ 13/4 (* 2 x)))))))> |
#<alt (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4))))> |
#<alt (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4))))> |
#<alt (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4))))> |
#<alt (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4))))> |
#<alt (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4))))> |
#<alt (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4))))> |
#<alt (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4))))> |
#<alt (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))> |
#<alt (/ (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))) (* (exp x) (+ 2 (exp x))))> |
#<alt (/ (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))) (* (exp x) (+ 2 (exp x))))> |
#<alt (/ (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))) (* (exp x) (+ 2 (exp x))))> |
#<alt (/ (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))) (* (exp x) (+ 2 (exp x))))> |
#<alt (/ (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))) (* (exp x) (+ 2 (exp x))))> |
#<alt (/ (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))) (* (exp x) (+ 2 (exp x))))> |
#<alt (/ (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))) (* (exp x) (+ 2 (exp x))))> |
#<alt (/ (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))) (* (exp x) (+ 2 (exp x))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 x))> |
#<alt (* (pow x 2) (+ 1 (* x (+ 1 (* 7/12 x)))))> |
#<alt (* (pow x 2) (+ 1 (* x (+ 1 (* x (+ 7/12 (* 1/4 x)))))))> |
#<alt (/ (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))) (+ 2 (exp x)))> |
#<alt (/ (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))) (+ 2 (exp x)))> |
#<alt (/ (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))) (+ 2 (exp x)))> |
#<alt (/ (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))) (+ 2 (exp x)))> |
#<alt (/ (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))) (+ 2 (exp x)))> |
#<alt (/ (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))) (+ 2 (exp x)))> |
#<alt (/ (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))) (+ 2 (exp x)))> |
#<alt (/ (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))) (+ 2 (exp x)))> |
#<alt (* 1/360 x)> |
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))> |
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))> |
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))> |
#<alt (* 1/20160 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* 1/20160 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 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 (* 1/12 x)> |
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* 1/360 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* 1/360 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt 1/12> |
#<alt (+ 1/12 (* 1/360 (pow x 2)))> |
#<alt (+ 1/12 (* 1/360 (pow x 2)))> |
#<alt (+ 1/12 (* 1/360 (pow x 2)))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt 3> |
#<alt (+ 3 x)> |
#<alt (+ 3 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 3 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))> |
#<alt (+ 2 (exp x))> |
#<alt (+ 2 (exp x))> |
#<alt (+ 2 (exp x))> |
#<alt (+ 2 (exp x))> |
#<alt (+ 2 (exp x))> |
#<alt (+ 2 (exp x))> |
#<alt (+ 2 (exp x))> |
#<alt (+ 2 (exp x))> |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (* x (+ (* (* x x) 1/360) 1/12)) |
| 1.0ms | x | @ | 0 | (+ (* (exp x) (+ (exp (+ x x)) -4)) (+ (exp x) 2)) |
| 1.0ms | x | @ | inf | (/ (/ (+ (* (exp x) (+ (exp (+ x x)) -4)) (+ (exp x) 2)) (+ (exp x) 2)) (exp x)) |
| 1.0ms | x | @ | -inf | (/ (/ (+ (* (exp x) (+ (exp (+ x x)) -4)) (+ (exp x) 2)) (+ (exp x) 2)) (exp x)) |
| 1.0ms | x | @ | inf | (* x (+ (* (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (* x (* x x))) x)) |
| 1× | egg-herbie |
| 16 820× | lower-fma.f64 |
| 16 820× | lower-fma.f32 |
| 4 080× | lower-*.f64 |
| 4 080× | lower-*.f32 |
| 3 676× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 189 | 2331 |
| 1 | 597 | 2252 |
| 2 | 1540 | 2199 |
| 3 | 4218 | 2196 |
| 4 | 7078 | 2196 |
| 0 | 8488 | 2046 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(* 1/20160 (pow x 7)) |
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/20160 (pow x 7)) |
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))))) |
1/12 |
(+ 1/12 (* 1/360 (pow x 2))) |
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
(* 1/20160 (pow x 4)) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* 1/20160 (pow x 4)) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 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) |
(pow x 2) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* 1/360 (pow x 6)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/360 (pow x 6)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* 1/360 (pow x 5)) |
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/360 (pow x 5)) |
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(/ 1 (exp x)) |
(/ 1 (exp x)) |
(/ 1 (exp x)) |
(/ 1 (exp x)) |
(/ 1 (exp x)) |
(/ 1 (exp x)) |
(/ 1 (exp x)) |
(/ 1 (exp x)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
-1 |
(- x 1) |
(- (* x (+ 1 (* 1/2 x))) 1) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1) |
(- (exp x) 2) |
(- (exp x) 2) |
(- (exp x) 2) |
(- (exp x) 2) |
(- (exp x) 2) |
(- (exp x) 2) |
(- (exp x) 2) |
(- (exp x) 2) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* 4 x))) |
(* (pow x 2) (+ 3 (* x (+ 4 (* 13/4 x))))) |
(* (pow x 2) (+ 3 (* x (+ 4 (* x (+ 13/4 (* 2 x))))))) |
(+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))) |
(+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))) |
(+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))) |
(+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))) |
(+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))) |
(+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))) |
(+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))) |
(+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(/ (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))) (* (exp x) (+ 2 (exp x)))) |
(/ (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))) (* (exp x) (+ 2 (exp x)))) |
(/ (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))) (* (exp x) (+ 2 (exp x)))) |
(/ (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))) (* (exp x) (+ 2 (exp x)))) |
(/ (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))) (* (exp x) (+ 2 (exp x)))) |
(/ (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))) (* (exp x) (+ 2 (exp x)))) |
(/ (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))) (* (exp x) (+ 2 (exp x)))) |
(/ (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))) (* (exp x) (+ 2 (exp x)))) |
(pow x 2) |
(* (pow x 2) (+ 1 x)) |
(* (pow x 2) (+ 1 (* x (+ 1 (* 7/12 x))))) |
(* (pow x 2) (+ 1 (* x (+ 1 (* x (+ 7/12 (* 1/4 x))))))) |
(/ (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))) (+ 2 (exp x))) |
(/ (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))) (+ 2 (exp x))) |
(/ (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))) (+ 2 (exp x))) |
(/ (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))) (+ 2 (exp x))) |
(/ (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))) (+ 2 (exp x))) |
(/ (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))) (+ 2 (exp x))) |
(/ (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))) (+ 2 (exp x))) |
(/ (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))) (+ 2 (exp x))) |
(* 1/360 x) |
(* x (+ 1/360 (* 1/20160 (pow x 2)))) |
(* x (+ 1/360 (* 1/20160 (pow x 2)))) |
(* x (+ 1/360 (* 1/20160 (pow x 2)))) |
(* 1/20160 (pow x 3)) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* 1/20160 (pow x 3)) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 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) |
(* 1/12 x) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(* 1/360 (pow x 3)) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* 1/360 (pow x 3)) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
1/12 |
(+ 1/12 (* 1/360 (pow x 2))) |
(+ 1/12 (* 1/360 (pow x 2))) |
(+ 1/12 (* 1/360 (pow x 2))) |
(* 1/360 (pow x 2)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* 1/360 (pow x 2)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
3 |
(+ 3 x) |
(+ 3 (* x (+ 1 (* 1/2 x)))) |
(+ 3 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(+ 2 (exp x)) |
(+ 2 (exp x)) |
(+ 2 (exp x)) |
(+ 2 (exp x)) |
(+ 2 (exp x)) |
(+ 2 (exp x)) |
(+ 2 (exp x)) |
(+ 2 (exp x)) |
| Outputs |
|---|
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
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x |
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1/12 |
#s(literal 1/12 binary64) |
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x |
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1 |
#s(literal 1 binary64) |
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(exp.f64 (neg.f64 x)) |
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(pow x 2) |
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(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
(- (* x (+ 1 (* 1/2 x))) 1) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(- (exp x) 2) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
(- (exp x) 2) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
(- (exp x) 2) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
(- (exp x) 2) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
(- (exp x) 2) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
(- (exp x) 2) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
(- (exp x) 2) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
(- (exp x) 2) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(* (pow x 2) (+ 3 (* 4 x))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 3 binary64)))) |
(* (pow x 2) (+ 3 (* x (+ 4 (* 13/4 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 13/4 binary64) #s(literal 4 binary64)) #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (* x (+ 4 (* x (+ 13/4 (* 2 x))))))) |
(*.f64 (*.f64 x x) (fma.f64 x (fma.f64 x (+.f64 #s(literal 13/4 binary64) (+.f64 x x)) #s(literal 4 binary64)) #s(literal 3 binary64))) |
(+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))) |
(fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)) |
(+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))) |
(fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)) |
(+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))) |
(fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)) |
(+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))) |
(fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)) |
(+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))) |
(fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)) |
(+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))) |
(fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)) |
(+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))) |
(fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)) |
(+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))) |
(fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
(/ (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))) (* (exp x) (+ 2 (exp x)))) |
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) |
(/ (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))) (* (exp x) (+ 2 (exp x)))) |
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) |
(/ (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))) (* (exp x) (+ 2 (exp x)))) |
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) |
(/ (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))) (* (exp x) (+ 2 (exp x)))) |
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) |
(/ (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))) (* (exp x) (+ 2 (exp x)))) |
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) |
(/ (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))) (* (exp x) (+ 2 (exp x)))) |
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) |
(/ (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))) (* (exp x) (+ 2 (exp x)))) |
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) |
(/ (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))) (* (exp x) (+ 2 (exp x)))) |
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 x)) |
(*.f64 x (fma.f64 x x x)) |
(* (pow x 2) (+ 1 (* x (+ 1 (* 7/12 x))))) |
(*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 7/12 binary64)) x) x)) |
(* (pow x 2) (+ 1 (* x (+ 1 (* x (+ 7/12 (* 1/4 x))))))) |
(*.f64 x (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 7/12 binary64)) x) x)) |
(/ (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))) (+ 2 (exp x))) |
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (exp.f64 x))) |
(/ (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))) (+ 2 (exp x))) |
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (exp.f64 x))) |
(/ (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))) (+ 2 (exp x))) |
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (exp.f64 x))) |
(/ (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))) (+ 2 (exp x))) |
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (exp.f64 x))) |
(/ (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))) (+ 2 (exp x))) |
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (exp.f64 x))) |
(/ (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))) (+ 2 (exp x))) |
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (exp.f64 x))) |
(/ (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))) (+ 2 (exp x))) |
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (exp.f64 x))) |
(/ (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))) (+ 2 (exp x))) |
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (exp.f64 x))) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* x (+ 1/360 (* 1/20160 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) |
(* x (+ 1/360 (* 1/20160 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) |
(* x (+ 1/360 (* 1/20160 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) |
(* 1/20160 (pow x 3)) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) |
(* 1/20160 (pow x 3)) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 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)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
(* 1/360 (pow x 3)) |
(*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
(* 1/360 (pow x 3)) |
(*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
1/12 |
#s(literal 1/12 binary64) |
(+ 1/12 (* 1/360 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(+ 1/12 (* 1/360 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(+ 1/12 (* 1/360 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
3 |
#s(literal 3 binary64) |
(+ 3 x) |
(+.f64 x #s(literal 3 binary64)) |
(+ 3 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) |
(+ 3 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) |
(+ 2 (exp x)) |
(+.f64 #s(literal 2 binary64) (exp.f64 x)) |
(+ 2 (exp x)) |
(+.f64 #s(literal 2 binary64) (exp.f64 x)) |
(+ 2 (exp x)) |
(+.f64 #s(literal 2 binary64) (exp.f64 x)) |
(+ 2 (exp x)) |
(+.f64 #s(literal 2 binary64) (exp.f64 x)) |
(+ 2 (exp x)) |
(+.f64 #s(literal 2 binary64) (exp.f64 x)) |
(+ 2 (exp x)) |
(+.f64 #s(literal 2 binary64) (exp.f64 x)) |
(+ 2 (exp x)) |
(+.f64 #s(literal 2 binary64) (exp.f64 x)) |
(+ 2 (exp x)) |
(+.f64 #s(literal 2 binary64) (exp.f64 x)) |
| 4 336× | lower-/.f32 |
| 4 330× | lower-/.f64 |
| 4 268× | lower-*.f32 |
| 4 256× | lower-*.f64 |
| 3 516× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 247 |
| 0 | 65 | 234 |
| 1 | 275 | 234 |
| 2 | 2266 | 234 |
| 0 | 8385 | 228 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
(*.f64 x x) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(-.f64 (exp.f64 x) #s(literal 2 binary64)) |
(exp.f64 x) |
(fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) |
(/.f64 (/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 x)) |
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 2 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) |
(*.f64 x (*.f64 x x)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) |
(+.f64 (exp.f64 x) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x))) |
(+.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(+.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x x)) |
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))) (*.f64 x x)) (-.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x x))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x x)))) |
(fma.f64 x x (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (*.f64 x x)) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 x x)) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x (*.f64 x x)) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (*.f64 x x) (*.f64 x x)) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))) (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x x))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))))) |
(/.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (neg.f64 x)))) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (neg.f64 x))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 x x))) x) (fma.f64 x (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (neg.f64 x))) x) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (neg.f64 x))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (neg.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))) (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x x)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))) (neg.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (neg.f64 x))))) (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 x x))) x)) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (neg.f64 x))) x)) (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (neg.f64 x)))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x)) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) x) |
(+.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x) |
(-.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (neg.f64 x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))) (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))) |
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) x) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 x x) x) |
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(/.f64 (*.f64 (fma.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/144 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) |
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(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64))))) (*.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 x #s(literal 1/12 binary64))))) (neg.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (*.f64 x #s(literal 1/12 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)) #s(literal 1/1728 binary64)))) (neg.f64 (fma.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/144 binary64)))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)) #s(literal 1/1728 binary64)) x)) (neg.f64 (fma.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/144 binary64)) x)) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) x) |
(+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) |
(+.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))) |
(-.f64 (/.f64 #s(literal 1/144 binary64) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))) (/.f64 (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) |
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) |
(fma.f64 (*.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)) #s(literal 1/1728 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)) (fma.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/144 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)) #s(literal 1/1728 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)) (fma.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/144 binary64))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)) #s(literal 1/1728 binary64)) (fma.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)) #s(literal 1/1728 binary64)) (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/144 binary64)) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)) #s(literal 1/1728 binary64))) (neg.f64 (fma.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)) #s(literal 1/1728 binary64))) (neg.f64 (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/144 binary64))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))) |
(/.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)) #s(literal 1/144 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)) #s(literal 1/1728 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/144 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)) #s(literal 1/1728 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)) (fma.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/144 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)) #s(literal 1/1728 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64)))))) |
(*.f64 (fma.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))) |
(+.f64 #s(literal 2 binary64) (exp.f64 x)) |
(+.f64 (exp.f64 x) #s(literal 2 binary64)) |
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64))) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 16 binary64) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64))) (+.f64 (exp.f64 x) #s(literal -2 binary64)))) |
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 2 binary64) (exp.f64 x)))) |
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 8 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))))) |
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 8 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))))) |
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (exp.f64 x))))) |
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 8 binary64))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))))) |
(/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (exp.f64 x)))))) |
(/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))) (neg.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))) |
(/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 2 binary64) (exp.f64 x))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (*.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)))) (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (-.f64 #s(literal 2 binary64) (exp.f64 x)))) |
(pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 8 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))))) |
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))) |
(*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -8 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (fma.f64 #s(literal 2 binary64) (exp.f64 x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))) (+.f64 #s(literal 2 binary64) (exp.f64 x))) |
Compiled 36 120 to 2 978 computations (91.8% saved)
18 alts after pruning (14 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 138 | 12 | 1 150 |
| Fresh | 1 | 2 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 141 | 18 | 1 159 |
| Status | Accuracy | Program |
|---|---|---|
| 52.2% | (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) | |
| 52.1% | (/.f64 (/.f64 #s(approx (+ (* (exp x) (+ (exp (+ x x)) -4)) (+ (exp x) 2)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 x)) | |
| ✓ | 52.3% | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
| ✓ | 52.4% | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 52.1% | #s(approx (/ (/ (+ (* (exp x) (+ (exp (+ x x)) -4)) (+ (exp x) 2)) (+ (exp x) 2)) (exp x)) (/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))))) | |
| ▶ | 98.5% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) |
| 98.4% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))) | |
| ▶ | 98.4% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x) x)) |
| 98.5% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))) | |
| ▶ | 98.5% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))) |
| ✓ | 98.5% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))) |
| 98.4% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x))) | |
| 97.7% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/360) 1/12) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) x))) | |
| 97.7% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))))) (*.f64 x (*.f64 x x)) x))) | |
| ▶ | 97.7% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)) x))) |
| ▶ | 98.1% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))) |
| 49.9% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))))))) | |
| ✓ | 97.7% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
Compiled 584 to 299 computations (48.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x) | |
| cost-diff | 0 | (*.f64 x (fma.f64 (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) | |
| cost-diff | 0 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))) | |
| cost-diff | 0 | #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)) x) | |
| cost-diff | 0 | (*.f64 x (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)) x)) | |
| cost-diff | 0 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)) x))) | |
| cost-diff | 0 | (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) | |
| cost-diff | 0 | (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x) | |
| cost-diff | 0 | (*.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x) x) | |
| cost-diff | 0 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x) x)) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) | |
| cost-diff | 0 | (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) | |
| cost-diff | 0 | (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) | |
| cost-diff | 0 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) | |
| cost-diff | 0 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) | |
| cost-diff | 320 | (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) |
| 8 098× | lower-fma.f32 |
| 8 076× | lower-fma.f64 |
| 2 956× | lower-+.f64 |
| 2 956× | lower-+.f32 |
| 2 490× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 561 |
| 0 | 89 | 500 |
| 1 | 200 | 465 |
| 2 | 412 | 465 |
| 3 | 812 | 465 |
| 4 | 1795 | 465 |
| 5 | 2940 | 465 |
| 6 | 6616 | 465 |
| 7 | 7664 | 465 |
| 0 | 8037 | 459 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(*.f64 x x) |
x |
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) |
(*.f64 x #s(literal 1/20160 binary64)) |
#s(literal 1/20160 binary64) |
#s(literal 1/360 binary64) |
#s(literal 1/12 binary64) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
x |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(*.f64 x x) |
#s(literal 1/12 binary64) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x) x)) |
(*.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x) x) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x) |
x |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(*.f64 x #s(literal 1/360 binary64)) |
#s(literal 1/360 binary64) |
#s(literal 1/12 binary64) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)) x))) |
(*.f64 x (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)) x)) |
x |
(fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)) x) |
#s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))) |
#s(literal 1/20160 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 x (fma.f64 (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
x |
(fma.f64 (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 x x) |
#s(literal 1/406425600 binary64) |
#s(literal -1/129600 binary64) |
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)) |
(*.f64 x #s(literal 1/20160 binary64)) |
#s(literal 1/20160 binary64) |
#s(literal -1/360 binary64) |
#s(literal 1/12 binary64) |
(*.f64 x (*.f64 x x)) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x))) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(*.f64 x x) |
x |
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) |
(*.f64 x #s(literal 1/20160 binary64)) |
#s(literal 1/20160 binary64) |
#s(literal 1/360 binary64) |
#s(literal 1/12 binary64) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
x |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(*.f64 x x) |
#s(literal 1/12 binary64) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x) x) |
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x) |
x |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(*.f64 x #s(literal 1/360 binary64)) |
#s(literal 1/360 binary64) |
#s(literal 1/12 binary64) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1 binary64)))) |
(*.f64 x (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)) x)) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1 binary64))) |
x |
(fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) x) |
#s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))))) |
#s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
#s(literal 1/20160 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/406425600 binary64))) #s(literal -1/129600 binary64)) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) x))) |
(*.f64 x (fma.f64 (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
(*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/406425600 binary64))) #s(literal -1/129600 binary64)) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) x)) |
x |
(fma.f64 (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/406425600 binary64))) #s(literal -1/129600 binary64)) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) x) |
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) |
(fma.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/406425600 binary64))) #s(literal -1/129600 binary64)) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) |
(/.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/406425600 binary64))) #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) |
(*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/406425600 binary64))) #s(literal -1/129600 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) |
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/406425600 binary64))) #s(literal -1/129600 binary64)) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x x) |
#s(literal 1/406425600 binary64) |
#s(literal -1/129600 binary64) |
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)) |
(*.f64 x #s(literal 1/20160 binary64)) |
#s(literal 1/20160 binary64) |
#s(literal -1/360 binary64) |
#s(literal 1/12 binary64) |
(*.f64 x (*.f64 x x)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.14453125 | (*.f64 (*.f64 x x) (*.f64 x x)) | |
| accuracy | 0.171875 | (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) | |
| accuracy | 0.40716574593706584 | (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) | |
| accuracy | 0.9639696805598083 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))) | |
| accuracy | 0.06640625 | (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))) | |
| accuracy | 0.0859375 | (*.f64 x (*.f64 x x)) | |
| accuracy | 0.9639696805598083 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)) x))) | |
| accuracy | 61.410496383427564 | #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))))) | |
| accuracy | 0.109375 | (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) | |
| accuracy | 0.2109375 | (*.f64 x #s(literal 1/360 binary64)) | |
| accuracy | 0.296875 | (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) | |
| accuracy | 1.037641761788345 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x) x)) | |
| accuracy | 0.00390625 | (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) | |
| accuracy | 0.0078125 | (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) | |
| accuracy | 0.234375 | (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) | |
| accuracy | 1.1919619300119395 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))) | |
| accuracy | 0.0078125 | (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) | |
| accuracy | 0.014003759768442016 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) | |
| accuracy | 0.14453125 | (*.f64 (*.f64 x x) (*.f64 x x)) | |
| accuracy | 0.9639696805598083 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) |
| 269.0ms | 181× | 2 | valid |
| 65.0ms | 68× | 1 | valid |
| 6.0ms | 7× | 0 | valid |
Compiled 451 to 57 computations (87.4% saved)
ival-mult: 89.0ms (30.8% of total)ival-exp: 61.0ms (21.1% of total)adjust: 54.0ms (18.7% of total)const: 42.0ms (14.6% of total)ival-add: 33.0ms (11.4% of total)ival-div: 4.0ms (1.4% of total)ival-sub: 4.0ms (1.4% of total)ival-neg: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))> |
#<alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))> |
#<alt (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))> |
#<alt (*.f64 x x)> |
#<alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))> |
#<alt (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))> |
#<alt (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)> |
#<alt (*.f64 (*.f64 x x) #s(literal 1/12 binary64))> |
#<alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x) x))> |
#<alt (*.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x) x)> |
#<alt (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x)> |
#<alt (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))> |
#<alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)) x)))> |
#<alt (*.f64 x (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)) x))> |
#<alt (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)) x)> |
#<alt #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x)))))> |
#<alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)))> |
#<alt (*.f64 x (fma.f64 (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))> |
#<alt (fma.f64 (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)> |
#<alt (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64))> |
#<alt (*.f64 (*.f64 x x) (*.f64 x x))> |
#<alt (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))> |
#<alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))> |
#<alt (*.f64 x #s(literal 1/360 binary64))> |
#<alt (*.f64 x (*.f64 x x))> |
#<alt (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x)))> |
#<alt (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))> |
#<alt (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x)> |
| Outputs |
|---|
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt 1/12> |
#<alt (+ 1/12 (* 1/360 (pow x 2)))> |
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))> |
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (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 (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* x (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* x (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* 1/360 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/360 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* 1/360 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/360 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* 1/360 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* 1/360 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))> |
#<alt 1/12> |
#<alt (+ 1/12 (* 1/360 (pow x 2)))> |
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))> |
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))> |
#<alt 1/12> |
#<alt (+ 1/12 (* 1/360 (pow x 2)))> |
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))> |
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt 1/360> |
#<alt (+ 1/360 (* 1/20160 (pow x 2)))> |
#<alt (+ 1/360 (* 1/20160 (pow x 2)))> |
#<alt (+ 1/360 (* 1/20160 (pow x 2)))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* 1/12 x)> |
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* 1/360 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* 1/360 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<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 (* 1/20160 (pow x 3))> |
#<alt (* 1/20160 (pow x 3))> |
#<alt (* 1/20160 (pow x 3))> |
#<alt (* 1/20160 (pow x 3))> |
#<alt (* 1/20160 (pow x 3))> |
#<alt (* 1/20160 (pow x 3))> |
#<alt (* 1/20160 (pow x 3))> |
#<alt (* 1/20160 (pow x 3))> |
#<alt (* 1/20160 (pow x 3))> |
#<alt (* 1/20160 (pow x 3))> |
#<alt (* 1/20160 (pow x 3))> |
#<alt (* 1/20160 (pow x 3))> |
#<alt (* 1/360 x)> |
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))> |
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))> |
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))> |
#<alt (* 1/20160 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* 1/20160 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* -1/129600 x)> |
#<alt (* x (- (* 1/406425600 (pow x 4)) 1/129600))> |
#<alt (* x (- (* 1/406425600 (pow x 4)) 1/129600))> |
#<alt (* x (- (* 1/406425600 (pow x 4)) 1/129600))> |
#<alt (* 1/406425600 (pow x 5))> |
#<alt (* (pow x 5) (- 1/406425600 (* 1/129600 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 5) (- 1/406425600 (* 1/129600 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 5) (- 1/406425600 (* 1/129600 (/ 1 (pow x 4)))))> |
#<alt (* 1/406425600 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600)))> |
#<alt (* -1 (* (pow x 5) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600)))> |
#<alt (* -1 (* (pow x 5) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600)))> |
84 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (* x (+ (* (+ (* x (/ (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (+ (* x (* x 1/20160)) -1/360))) 1/12) (* x (* x x))) x)) |
| 0.0ms | x | @ | inf | (/ (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (+ (* x (* x 1/20160)) -1/360)) |
| 0.0ms | x | @ | 0 | (/ (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (+ (* x (* x 1/20160)) -1/360)) |
| 0.0ms | x | @ | inf | (* x (+ (* x (* (* x x) 1/12)) x)) |
| 0.0ms | x | @ | -inf | (* x (+ (* (+ (* x (/ (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (+ (* x (* x 1/20160)) -1/360))) 1/12) (* x (* x x))) x)) |
| 1× | egg-herbie |
| 13 366× | lower-fma.f64 |
| 13 366× | lower-fma.f32 |
| 4 102× | lower-*.f64 |
| 4 102× | lower-*.f32 |
| 1 916× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 124 | 3000 |
| 1 | 414 | 2888 |
| 2 | 1059 | 2882 |
| 3 | 2953 | 2880 |
| 4 | 5862 | 2880 |
| 0 | 8283 | 2694 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
1/12 |
(+ 1/12 (* 1/360 (pow x 2))) |
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
(* 1/20160 (pow x 4)) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* 1/20160 (pow x 4)) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 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) |
(pow x 2) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(* 1/12 (pow x 3)) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(* 1/12 (pow x 3)) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* 1/360 (pow x 6)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/360 (pow x 6)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* 1/360 (pow x 5)) |
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/360 (pow x 5)) |
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360))) |
(* 1/12 (pow x 2)) |
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))) |
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))) |
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))) |
(* 1/360 (pow x 4)) |
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* 1/360 (pow x 4)) |
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(* 1/20160 (pow x 7)) |
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/20160 (pow x 7)) |
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))))) |
1/12 |
(+ 1/12 (* 1/360 (pow x 2))) |
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
(* 1/20160 (pow x 4)) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* 1/20160 (pow x 4)) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(* 1/20160 (pow x 7)) |
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/20160 (pow x 7)) |
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))))) |
1/12 |
(+ 1/12 (* 1/360 (pow x 2))) |
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
(* 1/20160 (pow x 4)) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* 1/20160 (pow x 4)) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
1/360 |
(+ 1/360 (* 1/20160 (pow x 2))) |
(+ 1/360 (* 1/20160 (pow x 2))) |
(+ 1/360 (* 1/20160 (pow x 2))) |
(* 1/20160 (pow x 2)) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* 1/20160 (pow x 2)) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* 1/12 x) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(* 1/360 (pow x 3)) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* 1/360 (pow x 3)) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(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) |
(* 1/20160 (pow x 3)) |
(* 1/20160 (pow x 3)) |
(* 1/20160 (pow x 3)) |
(* 1/20160 (pow x 3)) |
(* 1/20160 (pow x 3)) |
(* 1/20160 (pow x 3)) |
(* 1/20160 (pow x 3)) |
(* 1/20160 (pow x 3)) |
(* 1/20160 (pow x 3)) |
(* 1/20160 (pow x 3)) |
(* 1/20160 (pow x 3)) |
(* 1/20160 (pow x 3)) |
(* 1/360 x) |
(* x (+ 1/360 (* 1/20160 (pow x 2)))) |
(* x (+ 1/360 (* 1/20160 (pow x 2)))) |
(* x (+ 1/360 (* 1/20160 (pow x 2)))) |
(* 1/20160 (pow x 3)) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* 1/20160 (pow x 3)) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* -1/129600 x) |
(* x (- (* 1/406425600 (pow x 4)) 1/129600)) |
(* x (- (* 1/406425600 (pow x 4)) 1/129600)) |
(* x (- (* 1/406425600 (pow x 4)) 1/129600)) |
(* 1/406425600 (pow x 5)) |
(* (pow x 5) (- 1/406425600 (* 1/129600 (/ 1 (pow x 4))))) |
(* (pow x 5) (- 1/406425600 (* 1/129600 (/ 1 (pow x 4))))) |
(* (pow x 5) (- 1/406425600 (* 1/129600 (/ 1 (pow x 4))))) |
(* 1/406425600 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))) |
(* -1 (* (pow x 5) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))) |
(* -1 (* (pow x 5) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))) |
| Outputs |
|---|
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
(* 1/20160 (pow x 8)) |
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x)))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))) |
(* 1/20160 (pow x 8)) |
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x)))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
(- (+ (exp x) (exp (neg x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (neg x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (neg x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (neg x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
1/12 |
#s(literal 1/12 binary64) |
(+ 1/12 (* 1/360 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) |
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(* 1/20160 (pow x 4)) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(* 1/20160 (pow x 4)) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(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) (+ 1 (* 1/12 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
(- (+ (exp x) (exp (neg x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (neg x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (neg x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (neg x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(* 1/12 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(* 1/12 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(* 1/12 (pow x 3)) |
(*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(* 1/12 (pow x 3)) |
(*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(* 1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(* 1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(* 1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(* 1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(* 1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(* 1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(* 1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(* 1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(* 1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(* 1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(* 1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(* 1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
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x |
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1/12 |
#s(literal 1/12 binary64) |
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(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
(* 1/20160 (pow x 8)) |
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x)))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))) |
(* 1/20160 (pow x 8)) |
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x)))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))) |
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x) |
(* 1/20160 (pow x 7)) |
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) (pow.f64 x #s(literal 7 binary64))) |
(* 1/20160 (pow x 7)) |
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/20160 binary64) (/.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
1/12 |
#s(literal 1/12 binary64) |
(+ 1/12 (* 1/360 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) |
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(* 1/20160 (pow x 4)) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(* 1/20160 (pow x 4)) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
1/360 |
#s(literal 1/360 binary64) |
(+ 1/360 (* 1/20160 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) |
(+ 1/360 (* 1/20160 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) |
(+ 1/360 (* 1/20160 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) |
(* 1/360 (pow x 3)) |
(*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) |
(* 1/360 (pow x 3)) |
(*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 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)) |
(* 1/20160 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
(* 1/20160 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
(* 1/20160 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
(* 1/20160 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
(* 1/20160 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
(* 1/20160 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
(* 1/20160 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
(* 1/20160 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
(* 1/20160 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
(* 1/20160 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
(* 1/20160 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
(* 1/20160 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* x (+ 1/360 (* 1/20160 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) |
(* x (+ 1/360 (* 1/20160 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) |
(* x (+ 1/360 (* 1/20160 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) |
(* 1/20160 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) |
(* 1/20160 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) |
(* -1/129600 x) |
(*.f64 x #s(literal -1/129600 binary64)) |
(* x (- (* 1/406425600 (pow x 4)) 1/129600)) |
(*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64))) |
(* x (- (* 1/406425600 (pow x 4)) 1/129600)) |
(*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64))) |
(* x (- (* 1/406425600 (pow x 4)) 1/129600)) |
(*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64))) |
(* 1/406425600 (pow x 5)) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64))) |
(* (pow x 5) (- 1/406425600 (* 1/129600 (/ 1 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/406425600 binary64) (/.f64 #s(literal -1/129600 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 5) (- 1/406425600 (* 1/129600 (/ 1 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/406425600 binary64) (/.f64 #s(literal -1/129600 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 5) (- 1/406425600 (* 1/129600 (/ 1 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/406425600 binary64) (/.f64 #s(literal -1/129600 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* 1/406425600 (pow x 5)) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64))) |
(* -1 (* (pow x 5) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/406425600 binary64) (/.f64 #s(literal -1/129600 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* -1 (* (pow x 5) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/406425600 binary64) (/.f64 #s(literal -1/129600 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* -1 (* (pow x 5) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/406425600 binary64) (/.f64 #s(literal -1/129600 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
| 7 004× | lower-fma.f32 |
| 6 982× | lower-fma.f64 |
| 5 214× | lower-*.f32 |
| 5 184× | lower-*.f64 |
| 4 340× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 486 |
| 0 | 89 | 410 |
| 1 | 381 | 369 |
| 2 | 2689 | 369 |
| 0 | 9747 | 363 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(*.f64 x x) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x) x)) |
(*.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x) x) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)) x))) |
(*.f64 x (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)) x) |
#s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 x (fma.f64 (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
(*.f64 x #s(literal 1/360 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) |
| Outputs |
|---|
(+.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (*.f64 x x)) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (neg.f64 (*.f64 x x)))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (neg.f64 (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (-.f64 x (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))) (*.f64 x (-.f64 x (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))))) |
(fma.f64 x x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))) |
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (*.f64 x x)) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 x x)) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x)) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 x x)) |
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x (*.f64 x x)) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 x x) (*.f64 x x)) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (*.f64 x x) (*.f64 x x)) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (neg.f64 (*.f64 x x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (neg.f64 (*.f64 x x)))))) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))) (fma.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))) (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (neg.f64 (*.f64 x x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (neg.f64 (*.f64 x x))))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (neg.f64 (*.f64 x x)))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (neg.f64 (*.f64 x x)))) |
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(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/165181768335360000 binary64) #s(literal -1/16796160000 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/406425600 binary64)) #s(literal 1/129600 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal -1/129600 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/406425600 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal -1/129600 binary64)) (*.f64 x #s(literal -1/129600 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/406425600 binary64)))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/406425600 binary64))))) (*.f64 (*.f64 x #s(literal -1/129600 binary64)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/406425600 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/406425600 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal -1/129600 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/406425600 binary64)))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/406425600 binary64)))) (-.f64 (*.f64 (*.f64 x #s(literal -1/129600 binary64)) (*.f64 x #s(literal -1/129600 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/406425600 binary64)))) (*.f64 x #s(literal -1/129600 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/129600 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/406425600 binary64))) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/129600 binary64) x) (*.f64 #s(literal -1/129600 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/406425600 binary64))) x) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/406425600 binary64))) x)) (*.f64 (*.f64 #s(literal -1/129600 binary64) x) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/406425600 binary64))) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/406425600 binary64))) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/129600 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/406425600 binary64))) x) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/406425600 binary64))) x) (-.f64 (*.f64 (*.f64 #s(literal -1/129600 binary64) x) (*.f64 #s(literal -1/129600 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/406425600 binary64))) x) (*.f64 #s(literal -1/129600 binary64) x))))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64)) x) |
Compiled 42 619 to 2 394 computations (94.4% saved)
26 alts after pruning (21 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 172 | 13 | 1 185 |
| Fresh | 1 | 8 | 9 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 177 | 26 | 1 203 |
| Status | Accuracy | Program |
|---|---|---|
| 52.2% | (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) | |
| 52.1% | (/.f64 (/.f64 #s(approx (+ (* (exp x) (+ (exp (+ x x)) -4)) (+ (exp x) 2)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 x)) | |
| ✓ | 52.3% | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
| ✓ | 52.4% | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 52.1% | #s(approx (/ (/ (+ (* (exp x) (+ (exp (+ x x)) -4)) (+ (exp x) 2)) (+ (exp x) 2)) (exp x)) (/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))))) | |
| ▶ | 98.5% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) #s(literal -1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) |
| 98.4% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/20160)) 1/360) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) | |
| 98.4% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))) | |
| 98.5% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x))) | |
| ✓ | 98.4% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x) x)) |
| 98.1% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x #s(approx (* x (+ (* x (* x 1/360)) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x) x)) | |
| ▶ | 98.4% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) x)) |
| 50.2% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 #s(approx (+ (* x (* x (* x (+ (* x (* x 1/360)) 1/12)))) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))) x)) | |
| 98.5% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))) | |
| 98.1% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))) | |
| ▶ | 98.4% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))) |
| ✓ | 98.5% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))) |
| ▶ | 97.7% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) x) x x))) |
| 98.4% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x))) | |
| 97.7% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 #s(approx (+ (* x (/ (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (+ (* x (* x 1/20160)) -1/360))) 1/12) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) (*.f64 x (*.f64 x x)) x))) | |
| 97.7% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/20160 binary64))))) (*.f64 x (*.f64 x x)) x))) | |
| 97.7% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))))) (*.f64 x (*.f64 x x)) x))) | |
| 98.1% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x))) | |
| 49.9% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))))))) | |
| ▶ | 50.2% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x #s(approx (+ (* x (* (* x x) 1/12)) x) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))) |
| ✓ | 97.7% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
Compiled 875 to 442 computations (49.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 x (/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 x (/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x) | |
| cost-diff | 0 | (*.f64 x (fma.f64 (fma.f64 x (/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) | |
| cost-diff | 0 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))) | |
| cost-diff | 0 | (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) x) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) x) x x) | |
| cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) x) x x)) | |
| cost-diff | 0 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) x) x x))) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) x) | |
| cost-diff | 0 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) x)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) | |
| cost-diff | 0 | #s(approx (+ (* x (* (* x x) 1/12)) x) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))) | |
| cost-diff | 0 | (*.f64 x #s(approx (+ (* x (* (* x x) 1/12)) x) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))) | |
| cost-diff | 0 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x #s(approx (+ (* x (* (* x x) 1/12)) x) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) #s(literal -1/360 binary64)) #s(literal 1/12 binary64)) | |
| cost-diff | 0 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) #s(literal -1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) | |
| cost-diff | 128 | (-.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) #s(literal -1/360 binary64)) | |
| cost-diff | 320 | (fma.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) #s(literal -1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) |
| 15 472× | lower-fma.f32 |
| 15 456× | lower-fma.f64 |
| 4 938× | lower-*.f32 |
| 4 906× | lower-*.f64 |
| 2 070× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 664 |
| 0 | 96 | 602 |
| 1 | 204 | 567 |
| 2 | 371 | 564 |
| 3 | 695 | 564 |
| 4 | 1599 | 564 |
| 5 | 2565 | 564 |
| 6 | 3325 | 564 |
| 7 | 4388 | 564 |
| 8 | 5782 | 564 |
| 9 | 6758 | 564 |
| 10 | 7839 | 564 |
| 0 | 8082 | 539 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) #s(literal -1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) |
(fma.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) #s(literal -1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) |
(fma.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) #s(literal -1/360 binary64)) #s(literal 1/12 binary64)) |
(*.f64 x x) |
x |
(-.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) #s(literal -1/360 binary64)) |
(*.f64 x (*.f64 x #s(literal 1/20160 binary64))) |
(*.f64 x #s(literal 1/20160 binary64)) |
#s(literal 1/20160 binary64) |
#s(literal -1/360 binary64) |
#s(literal 1/12 binary64) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x #s(approx (+ (* x (* (* x x) 1/12)) x) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))) |
(*.f64 x #s(approx (+ (* x (* (* x x) 1/12)) x) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))) |
x |
#s(approx (+ (* x (* (* x x) 1/12)) x) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) |
#s(literal 1/12 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) x) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(*.f64 x #s(literal 1/360 binary64)) |
#s(literal 1/360 binary64) |
#s(literal 1/12 binary64) |
#s(literal 1 binary64) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) x) x x))) |
(*.f64 x (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) x) x x)) |
x |
(fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) x) x x) |
(*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) x) |
(*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) |
#s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) |
(*.f64 x x) |
(*.f64 x (*.f64 x #s(literal 1/20160 binary64))) |
(*.f64 x #s(literal 1/20160 binary64)) |
#s(literal 1/20160 binary64) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 x (fma.f64 (fma.f64 x (/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
x |
(fma.f64 (fma.f64 x (/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 x (/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) |
(/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) |
#s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) |
(*.f64 x #s(literal -1/129600 binary64)) |
#s(literal -1/129600 binary64) |
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)) |
(*.f64 x #s(literal 1/20160 binary64)) |
#s(literal 1/20160 binary64) |
#s(literal -1/360 binary64) |
#s(literal 1/12 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) #s(literal -1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x))) |
(fma.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) #s(literal -1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x)) |
(fma.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) #s(literal -1/360 binary64)) #s(literal 1/12 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(*.f64 x x) |
x |
(-.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) #s(literal -1/360 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) |
(*.f64 x (*.f64 x #s(literal 1/20160 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(*.f64 x #s(literal 1/20160 binary64)) |
#s(literal 1/20160 binary64) |
#s(literal -1/360 binary64) |
#s(literal 1/12 binary64) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x #s(approx (+ (* x (* (* x x) 1/12)) x) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x #s(approx (+ (* x (* (* x x) 1/12)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)))))) |
(*.f64 x #s(approx (+ (* x (* (* x x) 1/12)) x) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 x #s(approx (+ (* x (* (* x x) 1/12)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64))))) |
x |
#s(approx (+ (* x (* (* x x) 1/12)) x) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))) |
#s(approx (+ (* x (* (* x x) 1/12)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)))) |
(*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64))) |
#s(literal 1/12 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) x) |
(*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) |
(*.f64 x #s(literal 1/360 binary64)) |
#s(literal 1/360 binary64) |
#s(literal 1/12 binary64) |
#s(literal 1 binary64) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) x) x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) x))) |
(*.f64 x (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) x) x x)) |
(*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) x)) |
x |
(fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) x) x x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) x) |
(*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) x) |
(*.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) |
(*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
#s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) |
#s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 x x) |
(*.f64 x (*.f64 x #s(literal 1/20160 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(*.f64 x #s(literal 1/20160 binary64)) |
#s(literal 1/20160 binary64) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64))) x))) |
(*.f64 x (fma.f64 (fma.f64 x (/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64))) x)) |
x |
(fma.f64 (fma.f64 x (/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64))) x) |
(fma.f64 x (/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) |
(/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) |
#s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) |
(*.f64 x #s(literal -1/129600 binary64)) |
#s(literal -1/129600 binary64) |
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)) |
(*.f64 x #s(literal 1/20160 binary64)) |
#s(literal 1/20160 binary64) |
#s(literal -1/360 binary64) |
#s(literal 1/12 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.17578125 | (*.f64 x #s(literal -1/129600 binary64)) | |
| accuracy | 0.40716574593706584 | (/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) | |
| accuracy | 0.9639696805598083 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))) | |
| accuracy | 1.2244076254481364 | #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) | |
| accuracy | 0.15625 | (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) | |
| accuracy | 0.296875 | (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) | |
| accuracy | 0.9639696805598083 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) x) x x))) | |
| accuracy | 61.410496383427564 | #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) | |
| accuracy | 0.0078125 | (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) | |
| accuracy | 0.0078125 | (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) | |
| accuracy | 0.2109375 | (*.f64 x #s(literal 1/360 binary64)) | |
| accuracy | 1.037641761788345 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) x)) | |
| accuracy | 0.0859375 | (*.f64 x (*.f64 x x)) | |
| accuracy | 0.109375 | (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) | |
| accuracy | 1.1919619300119395 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x #s(approx (+ (* x (* (* x x) 1/12)) x) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))) | |
| accuracy | 59.66353872546499 | #s(approx (+ (* x (* (* x x) 1/12)) x) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))) | |
| accuracy | 0.014003759768442016 | (fma.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) #s(literal -1/360 binary64)) #s(literal 1/12 binary64)) | |
| accuracy | 0.14453125 | (*.f64 (*.f64 x x) (*.f64 x x)) | |
| accuracy | 0.15625 | (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) | |
| accuracy | 0.9639696805598083 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) #s(literal -1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) |
| 310.0ms | 181× | 2 | valid |
| 94.0ms | 68× | 1 | valid |
| 7.0ms | 7× | 0 | valid |
Compiled 472 to 60 computations (87.3% saved)
ival-mult: 166.0ms (46.1% of total)ival-exp: 53.0ms (14.7% of total)ival-add: 47.0ms (13% of total)adjust: 43.0ms (11.9% of total)const: 38.0ms (10.5% of total)ival-sub: 8.0ms (2.2% of total)ival-div: 3.0ms (0.8% of total)ival-neg: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) #s(literal -1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))> |
#<alt (-.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) #s(literal -1/360 binary64))> |
#<alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) #s(literal -1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))> |
#<alt (fma.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) #s(literal -1/360 binary64)) #s(literal 1/12 binary64))> |
#<alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x #s(approx (+ (* x (* (* x x) 1/12)) x) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))))> |
#<alt (*.f64 x #s(approx (+ (* x (* (* x x) 1/12)) x) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))> |
#<alt #s(approx (+ (* x (* (* x x) 1/12)) x) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))> |
#<alt (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))> |
#<alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) x))> |
#<alt (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) x)> |
#<alt (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x)> |
#<alt (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64))> |
#<alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) x) x x)))> |
#<alt (*.f64 x (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) x) x x))> |
#<alt (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) x) x x)> |
#<alt (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) x)> |
#<alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)))> |
#<alt (*.f64 x (fma.f64 (fma.f64 x (/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))> |
#<alt (fma.f64 (fma.f64 x (/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)> |
#<alt (fma.f64 x (/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64))> |
#<alt (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))> |
#<alt (*.f64 (*.f64 x x) (*.f64 x x))> |
#<alt (*.f64 x (*.f64 x x))> |
#<alt (*.f64 x #s(literal 1/360 binary64))> |
#<alt (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))> |
#<alt #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))> |
#<alt (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))> |
#<alt #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64)))> |
#<alt (/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))> |
#<alt (*.f64 x #s(literal -1/129600 binary64))> |
| Outputs |
|---|
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt 1/360> |
#<alt (+ 1/360 (* 1/20160 (pow x 2)))> |
#<alt (+ 1/360 (* 1/20160 (pow x 2)))> |
#<alt (+ 1/360 (* 1/20160 (pow x 2)))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt 1/12> |
#<alt (+ 1/12 (* 1/360 (pow x 2)))> |
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))> |
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* x (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* x (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* 1/360 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/360 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* 1/360 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/360 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))> |
#<alt 1> |
#<alt (+ 1 (* 1/12 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))> |
#<alt (* 1/360 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/360 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* 1/20160 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (neg x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (- (+ (exp x) (exp (* -1 x))) 2)> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/20160 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/20160 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))> |
#<alt 1/12> |
#<alt (+ 1/12 (* 1/360 (pow x 2)))> |
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))> |
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (* 1/20160 (pow x 2))> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<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 (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt 1/12> |
#<alt (+ 1/12 (* 1/360 (pow x 2)))> |
#<alt (+ 1/12 (* 1/360 (pow x 2)))> |
#<alt (+ 1/12 (* 1/360 (pow x 2)))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt 1/12> |
#<alt (+ 1/12 (* 1/360 (pow x 2)))> |
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))> |
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* 1/20160 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* 1/12 x)> |
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))> |
#<alt (* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))> |
#<alt (* 1/20160 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))> |
#<alt (* 1/20160 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))> |
#<alt (* -1/129600 x)> |
#<alt (* x (- (* 1/406425600 (pow x 4)) 1/129600))> |
#<alt (* x (- (* 1/406425600 (pow x 4)) 1/129600))> |
#<alt (* x (- (* 1/406425600 (pow x 4)) 1/129600))> |
#<alt (* 1/406425600 (pow x 5))> |
#<alt (* (pow x 5) (- 1/406425600 (* 1/129600 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 5) (- 1/406425600 (* 1/129600 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 5) (- 1/406425600 (* 1/129600 (/ 1 (pow x 4)))))> |
#<alt (* 1/406425600 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600)))> |
#<alt (* -1 (* (pow x 5) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600)))> |
#<alt (* -1 (* (pow x 5) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600)))> |
#<alt (* 1/360 x)> |
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))> |
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))> |
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))> |
#<alt (* 1/20160 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* 1/20160 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* -1/129600 x)> |
#<alt (* -1/129600 x)> |
#<alt (* -1/129600 x)> |
#<alt (* -1/129600 x)> |
#<alt (* -1/129600 x)> |
#<alt (* -1/129600 x)> |
#<alt (* -1/129600 x)> |
#<alt (* -1/129600 x)> |
#<alt (* -1/129600 x)> |
#<alt (* -1/129600 x)> |
#<alt (* -1/129600 x)> |
#<alt (* -1/129600 x)> |
90 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (* 1/12 (* x (* x x))) |
| 0.0ms | x | @ | -inf | (* x -1/129600) |
| 0.0ms | x | @ | inf | (* x -1/129600) |
| 0.0ms | x | @ | inf | (* (* (+ (* (* x x) (+ (* x (* x 1/360)) 1/12)) 1) x) x) |
| 0.0ms | x | @ | inf | (* 1/12 (* x (* x x))) |
| 1× | egg-herbie |
| 13 190× | lower-fma.f64 |
| 13 190× | lower-fma.f32 |
| 4 062× | lower-*.f64 |
| 4 062× | lower-*.f32 |
| 1 712× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 133 | 3280 |
| 1 | 464 | 3168 |
| 2 | 1190 | 3160 |
| 3 | 3241 | 3156 |
| 4 | 6271 | 3156 |
| 0 | 8351 | 2942 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
1/360 |
(+ 1/360 (* 1/20160 (pow x 2))) |
(+ 1/360 (* 1/20160 (pow x 2))) |
(+ 1/360 (* 1/20160 (pow x 2))) |
(* 1/20160 (pow x 2)) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* 1/20160 (pow x 2)) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
1/12 |
(+ 1/12 (* 1/360 (pow x 2))) |
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
(* 1/20160 (pow x 4)) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* 1/20160 (pow x 4)) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(* 1/12 (pow x 3)) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(* 1/12 (pow x 3)) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(* 1/12 (pow x 3)) |
(* 1/12 (pow x 3)) |
(* 1/12 (pow x 3)) |
(* 1/12 (pow x 3)) |
(* 1/12 (pow x 3)) |
(* 1/12 (pow x 3)) |
(* 1/12 (pow x 3)) |
(* 1/12 (pow x 3)) |
(* 1/12 (pow x 3)) |
(* 1/12 (pow x 3)) |
(* 1/12 (pow x 3)) |
(* 1/12 (pow x 3)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* 1/360 (pow x 6)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/360 (pow x 6)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* 1/360 (pow x 5)) |
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/360 (pow x 5)) |
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360))) |
1 |
(+ 1 (* 1/12 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) |
(* 1/360 (pow x 4)) |
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/360 (pow x 4)) |
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(* 1/20160 (pow x 7)) |
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/20160 (pow x 7)) |
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))))) |
(* 1/12 (pow x 2)) |
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))) |
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(* 1/20160 (pow x 6)) |
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* 1/20160 (pow x 6)) |
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(* 1/20160 (pow x 7)) |
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/20160 (pow x 7)) |
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))))) |
1/12 |
(+ 1/12 (* 1/360 (pow x 2))) |
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
(* 1/20160 (pow x 4)) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* 1/20160 (pow x 4)) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* 1/20160 (pow x 2)) |
(* 1/20160 (pow x 2)) |
(* 1/20160 (pow x 2)) |
(* 1/20160 (pow x 2)) |
(* 1/20160 (pow x 2)) |
(* 1/20160 (pow x 2)) |
(* 1/20160 (pow x 2)) |
(* 1/20160 (pow x 2)) |
(* 1/20160 (pow x 2)) |
(* 1/20160 (pow x 2)) |
(* 1/20160 (pow x 2)) |
(* 1/20160 (pow x 2)) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(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) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
1/12 |
(+ 1/12 (* 1/360 (pow x 2))) |
(+ 1/12 (* 1/360 (pow x 2))) |
(+ 1/12 (* 1/360 (pow x 2))) |
(* 1/360 (pow x 2)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* 1/360 (pow x 2)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
1/12 |
(+ 1/12 (* 1/360 (pow x 2))) |
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
(* 1/20160 (pow x 4)) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* 1/20160 (pow x 4)) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* 1/12 x) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(* 1/20160 (pow x 5)) |
(* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* 1/20160 (pow x 5)) |
(* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) |
(* -1/129600 x) |
(* x (- (* 1/406425600 (pow x 4)) 1/129600)) |
(* x (- (* 1/406425600 (pow x 4)) 1/129600)) |
(* x (- (* 1/406425600 (pow x 4)) 1/129600)) |
(* 1/406425600 (pow x 5)) |
(* (pow x 5) (- 1/406425600 (* 1/129600 (/ 1 (pow x 4))))) |
(* (pow x 5) (- 1/406425600 (* 1/129600 (/ 1 (pow x 4))))) |
(* (pow x 5) (- 1/406425600 (* 1/129600 (/ 1 (pow x 4))))) |
(* 1/406425600 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))) |
(* -1 (* (pow x 5) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))) |
(* -1 (* (pow x 5) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))) |
(* 1/360 x) |
(* x (+ 1/360 (* 1/20160 (pow x 2)))) |
(* x (+ 1/360 (* 1/20160 (pow x 2)))) |
(* x (+ 1/360 (* 1/20160 (pow x 2)))) |
(* 1/20160 (pow x 3)) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* 1/20160 (pow x 3)) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* -1/129600 x) |
(* -1/129600 x) |
(* -1/129600 x) |
(* -1/129600 x) |
(* -1/129600 x) |
(* -1/129600 x) |
(* -1/129600 x) |
(* -1/129600 x) |
(* -1/129600 x) |
(* -1/129600 x) |
(* -1/129600 x) |
(* -1/129600 x) |
| Outputs |
|---|
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
(* 1/20160 (pow x 8)) |
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x)))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))) |
(* 1/20160 (pow x 8)) |
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x)))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))) |
1/360 |
#s(literal 1/360 binary64) |
(+ 1/360 (* 1/20160 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) |
(+ 1/360 (* 1/20160 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) |
(+ 1/360 (* 1/20160 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/20160 binary64))) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/20160 binary64))) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
(- (+ (exp x) (exp (neg x))) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (neg x))) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (neg x))) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (neg x))) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
1/12 |
#s(literal 1/12 binary64) |
(+ 1/12 (* 1/360 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) |
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) |
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) |
(* 1/20160 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) |
(* 1/20160 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
(- (+ (exp x) (exp (neg x))) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (neg x))) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (neg x))) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (neg x))) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(* 1/12 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(* 1/12 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(* 1/12 (pow x 3)) |
(*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(* 1/12 (pow x 3)) |
(*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(* 1/12 (pow x 3)) |
(*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) |
(* 1/12 (pow x 3)) |
(*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) |
(* 1/12 (pow x 3)) |
(*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) |
(* 1/12 (pow x 3)) |
(*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) |
(* 1/12 (pow x 3)) |
(*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) |
(* 1/12 (pow x 3)) |
(*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) |
(* 1/12 (pow x 3)) |
(*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) |
(* 1/12 (pow x 3)) |
(*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) |
(* 1/12 (pow x 3)) |
(*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) |
(* 1/12 (pow x 3)) |
(*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) |
(* 1/12 (pow x 3)) |
(*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) |
(* 1/12 (pow x 3)) |
(*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
(- (+ (exp x) (exp (neg x))) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (neg x))) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (neg x))) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (neg x))) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
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(* 1/360 (pow x 6)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) |
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(* 1/360 (pow x 6)) |
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x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
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(* 1/360 (pow x 5)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
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(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
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(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
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(* 1/360 (pow x 5)) |
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(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
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(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/12 (pow x 2))) |
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(* 1/360 (pow x 4)) |
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(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
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(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) |
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) |
(* 1/360 (pow x 4)) |
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(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
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(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) |
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
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(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
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(- (+ (exp x) (exp (neg x))) 2) |
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(pow x 2) |
(*.f64 x x) |
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x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
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(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
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(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
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(* 1/20160 (pow x 7)) |
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(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
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(* 1/20160 (pow x 7)) |
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(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
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(* 1/20160 (pow x 6)) |
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(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
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(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
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(* 1/20160 (pow x 6)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
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(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
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(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
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(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
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(- (+ (exp x) (exp (neg x))) 2) |
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(- (+ (exp x) (exp (* -1 x))) 2) |
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(- (+ (exp x) (exp (* -1 x))) 2) |
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(- (+ (exp x) (exp (* -1 x))) 2) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
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(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
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(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
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(* 1/20160 (pow x 8)) |
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x |
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#s(literal 1/12 binary64) |
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(* 1/360 (pow x 2)) |
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(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
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1/12 |
#s(literal 1/12 binary64) |
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(* 1/20160 (pow x 4)) |
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(* 1/20160 (pow x 5)) |
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(* 1/406425600 (pow x 5)) |
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(* x (+ 1/360 (* 1/20160 (pow x 2)))) |
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(* 1/20160 (pow x 3)) |
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(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) |
(* 1/20160 (pow x 3)) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) |
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) |
(* -1/129600 x) |
(*.f64 x #s(literal -1/129600 binary64)) |
(* -1/129600 x) |
(*.f64 x #s(literal -1/129600 binary64)) |
(* -1/129600 x) |
(*.f64 x #s(literal -1/129600 binary64)) |
(* -1/129600 x) |
(*.f64 x #s(literal -1/129600 binary64)) |
(* -1/129600 x) |
(*.f64 x #s(literal -1/129600 binary64)) |
(* -1/129600 x) |
(*.f64 x #s(literal -1/129600 binary64)) |
(* -1/129600 x) |
(*.f64 x #s(literal -1/129600 binary64)) |
(* -1/129600 x) |
(*.f64 x #s(literal -1/129600 binary64)) |
(* -1/129600 x) |
(*.f64 x #s(literal -1/129600 binary64)) |
(* -1/129600 x) |
(*.f64 x #s(literal -1/129600 binary64)) |
(* -1/129600 x) |
(*.f64 x #s(literal -1/129600 binary64)) |
(* -1/129600 x) |
(*.f64 x #s(literal -1/129600 binary64)) |
| 4 686× | lower-*.f32 |
| 4 654× | lower-*.f64 |
| 4 414× | lower-fma.f32 |
| 4 402× | lower-/.f32 |
| 4 400× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 598 |
| 0 | 96 | 540 |
| 1 | 387 | 507 |
| 2 | 2543 | 507 |
| 0 | 8287 | 485 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) #s(literal -1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) |
(-.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) #s(literal -1/360 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) #s(literal -1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) #s(literal -1/360 binary64)) #s(literal 1/12 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x #s(approx (+ (* x (* (* x x) 1/12)) x) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))) |
(*.f64 x #s(approx (+ (* x (* (* x x) 1/12)) x) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))) |
#s(approx (+ (* x (* (* x x) 1/12)) x) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) x) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) x) x x))) |
(*.f64 x (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) x) x x)) |
(fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) x) x x) |
(*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) x) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 x (fma.f64 (fma.f64 x (/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 (fma.f64 x (/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 x (/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) |
(*.f64 x (*.f64 x #s(literal 1/20160 binary64))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 x (*.f64 x x)) |
(*.f64 x #s(literal 1/360 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
#s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) |
(*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) |
#s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) |
(/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) |
(*.f64 x #s(literal -1/129600 binary64)) |
| Outputs |
|---|
(+.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))) (*.f64 x x)) |
(-.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) (neg.f64 (*.f64 x x)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) (neg.f64 (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))))) (/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))))) (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))))))) |
(fma.f64 x x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))))) |
(fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) (*.f64 x x)) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) (*.f64 x x)) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) (*.f64 x x)) |
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) (*.f64 x x) (*.f64 x x)) |
(fma.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) x) (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(fma.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))) x (*.f64 x x)) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x) x (*.f64 x x)) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))))))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) (neg.f64 (*.f64 x x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) (neg.f64 (*.f64 x x)))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))))))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))) |
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(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64)))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64)))))) |
(/.f64 (neg.f64 (*.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64)))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64)) #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64)) #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64)))) |
(*.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64)))) |
(*.f64 (neg.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))) #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/8193540096000 binary64) #s(literal -1/46656000 binary64))) (-.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/406425600 binary64))) #s(literal 1/129600 binary64)) (*.f64 (*.f64 x x) #s(literal -1/7257600 binary64)))) |
(*.f64 (/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/8193540096000 binary64) #s(literal -1/46656000 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/406425600 binary64))) #s(literal 1/129600 binary64)) (*.f64 (*.f64 x x) #s(literal -1/7257600 binary64)))))) |
(*.f64 (/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/406425600 binary64))) #s(literal -1/129600 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) |
(*.f64 (/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/406425600 binary64))) #s(literal -1/129600 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) |
(*.f64 (/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/406425600 binary64))) #s(literal -1/129600 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/8193540096000 binary64) #s(literal 1/46656000 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/406425600 binary64))) #s(literal 1/129600 binary64)) (*.f64 (*.f64 x x) #s(literal 1/7257600 binary64))))) |
(*.f64 (/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/406425600 binary64))) #s(literal -1/129600 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/8193540096000 binary64) #s(literal 1/46656000 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/406425600 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/7257600 binary64) #s(literal 1/129600 binary64))))) |
(*.f64 (/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/406425600 binary64))) #s(literal -1/129600 binary64)) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/406425600 binary64))) #s(literal -1/129600 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64)))) |
(*.f64 x #s(literal -1/129600 binary64)) |
(*.f64 #s(literal -1/129600 binary64) x) |
Compiled 29 663 to 1 806 computations (93.9% saved)
27 alts after pruning (18 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 838 | 6 | 844 |
| Fresh | 4 | 12 | 16 |
| Picked | 0 | 5 | 5 |
| Done | 1 | 4 | 5 |
| Total | 843 | 27 | 870 |
| Status | Accuracy | Program |
|---|---|---|
| 52.2% | (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) | |
| 52.1% | (/.f64 (/.f64 #s(approx (+ (* (exp x) (+ (exp (+ x x)) -4)) (+ (exp x) 2)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 x)) | |
| ✓ | 52.3% | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
| ✓ | 52.4% | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 52.1% | #s(approx (/ (/ (+ (* (exp x) (+ (exp (+ x x)) -4)) (+ (exp x) 2)) (+ (exp x) 2)) (exp x)) (/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))))) | |
| ✓ | 98.5% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) #s(literal -1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) |
| 98.4% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 x x) #s(approx (- (* x (* x 1/20160)) -1/360) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) | |
| 98.4% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))) | |
| 98.5% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x))) | |
| ✓ | 98.4% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x) x)) |
| 98.1% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x #s(approx (* x (+ (* x (* x 1/360)) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x) x)) | |
| 98.4% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) x) x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) x) x)) | |
| ✓ | 98.4% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) x)) |
| 49.9% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 #s(approx (+ (* (* x x) (+ (* x (* x 1/360)) 1/12)) 1) (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) x) x)) | |
| 50.2% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 #s(approx (+ (* x (* (* x x) 1/12)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))) x)) | |
| 50.2% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 #s(approx (+ (* x (* x (* x (+ (* x (* x 1/360)) 1/12)))) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))) x)) | |
| 98.1% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))) | |
| ✓ | 98.4% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))) |
| 98.5% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))) x) x x))) | |
| ✓ | 97.7% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) x) x x))) |
| 97.7% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))))) x) x x))) | |
| 98.4% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x))) | |
| 97.7% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 #s(approx (+ (* x (/ (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (+ (* x (* x 1/20160)) -1/360))) 1/12) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) (*.f64 x (*.f64 x x)) x))) | |
| 97.7% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/20160 binary64))))) (*.f64 x (*.f64 x x)) x))) | |
| 98.1% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x))) | |
| ✓ | 50.2% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x #s(approx (+ (* x (* (* x x) 1/12)) x) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))) |
| ✓ | 97.7% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
Compiled 1 191 to 410 computations (65.6% saved)
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x #s(approx (+ (* x (* (* x x) 1/12)) x) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 #s(approx (+ (* x (* (* x x) 1/12)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x #s(approx (* x (+ (* x (* x 1/360)) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))))))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 #s(approx (+ (* (* x x) (+ (* x (* x 1/360)) 1/12)) 1) (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/360) 1/12) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 #s(approx (+ (* x (* x (* x (+ (* x (* x 1/360)) 1/12)))) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/20160)) 1/360) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 x x) #s(approx (- (* x (* x 1/20160)) -1/360) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/20160 binary64))))) (*.f64 x (*.f64 x x)) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) x) x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))))) (*.f64 x (*.f64 x x)) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 #s(approx (+ (* x (/ (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (+ (* x (* x 1/20160)) -1/360))) 1/12) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) (*.f64 x (*.f64 x x)) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))))) x) x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) x) x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))) x) x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) #s(literal -1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))) |
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) |
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
#s(approx (/ (/ (+ (* (exp x) (+ (exp (+ x x)) -4)) (+ (exp x) 2)) (+ (exp x) 2)) (exp x)) (/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))))) |
(/.f64 (/.f64 #s(approx (+ (* (exp x) (+ (exp (+ x x)) -4)) (+ (exp x) 2)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 x)) |
(/.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))) |
(/.f64 (/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 x)) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) |
2 calls:
| 15.0ms | x |
| 9.0ms | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | x |
| 98.5% | 1 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x #s(approx (+ (* x (* (* x x) 1/12)) x) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 #s(approx (+ (* x (* (* x x) 1/12)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x #s(approx (* x (+ (* x (* x 1/360)) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))))))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 #s(approx (+ (* (* x x) (+ (* x (* x 1/360)) 1/12)) 1) (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/360) 1/12) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 #s(approx (+ (* x (* x (* x (+ (* x (* x 1/360)) 1/12)))) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/20160)) 1/360) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 x x) #s(approx (- (* x (* x 1/20160)) -1/360) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/20160 binary64))))) (*.f64 x (*.f64 x x)) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) x) x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))))) (*.f64 x (*.f64 x x)) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 #s(approx (+ (* x (/ (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (+ (* x (* x 1/20160)) -1/360))) 1/12) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) (*.f64 x (*.f64 x x)) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))))) x) x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) x) x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))) x) x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))) x) x x))) |
2 calls:
| 8.0ms | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | x |
| 98.5% | 1 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x #s(approx (+ (* x (* (* x x) 1/12)) x) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 #s(approx (+ (* x (* (* x x) 1/12)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x #s(approx (* x (+ (* x (* x 1/360)) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))))))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 #s(approx (+ (* (* x x) (+ (* x (* x 1/360)) 1/12)) 1) (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/360) 1/12) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 #s(approx (+ (* x (* x (* x (+ (* x (* x 1/360)) 1/12)))) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/20160)) 1/360) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 x x) #s(approx (- (* x (* x 1/20160)) -1/360) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/20160 binary64))))) (*.f64 x (*.f64 x x)) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) x) x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))))) (*.f64 x (*.f64 x x)) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 #s(approx (+ (* x (/ (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (+ (* x (* x 1/20160)) -1/360))) 1/12) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) (*.f64 x (*.f64 x x)) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))))) x) x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) x) x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) x) x)) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))) |
2 calls:
| 11.0ms | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 1 | x |
| 98.4% | 1 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x #s(approx (+ (* x (* (* x x) 1/12)) x) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 #s(approx (+ (* x (* (* x x) 1/12)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x #s(approx (* x (+ (* x (* x 1/360)) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))))))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 #s(approx (+ (* (* x x) (+ (* x (* x 1/360)) 1/12)) 1) (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/360) 1/12) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 #s(approx (+ (* x (* x (* x (+ (* x (* x 1/360)) 1/12)))) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x))) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))) |
2 calls:
| 6.0ms | x |
| 4.0ms | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 1 | x |
| 98.4% | 1 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x #s(approx (+ (* x (* (* x x) 1/12)) x) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 #s(approx (+ (* x (* (* x x) 1/12)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x #s(approx (* x (+ (* x (* x 1/360)) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))))))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 #s(approx (+ (* (* x x) (+ (* x (* x 1/360)) 1/12)) 1) (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/360) 1/12) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 #s(approx (+ (* x (* x (* x (+ (* x (* x 1/360)) 1/12)))) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))) x)) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))) |
2 calls:
| 4.0ms | x |
| 3.0ms | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 1 | x |
| 98.1% | 1 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
Compiled 11 to 8 computations (27.3% saved)
Total -30.4b remaining (-2087.1%)
Threshold costs -30.4b (-2087.1%)
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x #s(approx (+ (* x (* (* x x) 1/12)) x) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 #s(approx (+ (* x (* (* x x) 1/12)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))) x)) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
2 calls:
| 2.0ms | x |
| 1.0ms | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 1 | x |
| 97.7% | 1 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
| 26× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 155 |
| 1 | 61 | 155 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))) x) x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))) x) x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))))) x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
| 17 068× | lower-fma.f64 |
| 17 068× | lower-fma.f32 |
| 16 820× | lower-fma.f64 |
| 16 820× | lower-fma.f32 |
| 13 190× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 486 |
| 0 | 89 | 410 |
| 1 | 381 | 369 |
| 2 | 2689 | 369 |
| 0 | 9747 | 363 |
| 0 | 189 | 2331 |
| 1 | 597 | 2252 |
| 2 | 1540 | 2199 |
| 3 | 4218 | 2196 |
| 4 | 7078 | 2196 |
| 0 | 8488 | 2046 |
| 0 | 60 | 269 |
| 1 | 168 | 268 |
| 2 | 397 | 262 |
| 3 | 1053 | 262 |
| 4 | 1755 | 262 |
| 5 | 3019 | 262 |
| 6 | 3833 | 262 |
| 7 | 5252 | 262 |
| 8 | 6659 | 262 |
| 0 | 8202 | 241 |
| 0 | 133 | 3280 |
| 1 | 464 | 3168 |
| 2 | 1190 | 3160 |
| 3 | 3241 | 3156 |
| 4 | 6271 | 3156 |
| 0 | 8351 | 2942 |
| 0 | 37 | 247 |
| 0 | 65 | 234 |
| 1 | 275 | 234 |
| 2 | 2266 | 234 |
| 0 | 8385 | 228 |
| 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× | node limit |
| 1× | iter limit |
Compiled 206 to 84 computations (59.2% saved)
(abs x)
Compiled 328 to 126 computations (61.6% saved)
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