
Time bar (total: 12.9s)
| 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)
| 2.6s | 5 666× | 2 | valid |
| 644.0ms | 2 385× | 1 | valid |
| 13.0ms | 205× | 0 | valid |
ival-exp: 2.2s (74.1% of total)adjust: 341.0ms (11.3% of total)ival-sub: 180.0ms (6% of total)ival-add: 134.0ms (4.4% of total)ival-fabs: 54.0ms (1.8% of total)ival-neg: 35.0ms (1.2% of total)ival-<=: 25.0ms (0.8% of total)exact: 9.0ms (0.3% of total)ival-assert: 3.0ms (0.1% 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)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 140 | 1 | (1.8041935602226173e-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 | 0 | - | 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 | 141 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 140 | 0 |
| - | 1 | 115 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 140 | 0 | 0 |
| - | 1 | 1 | 114 |
| number | freq |
|---|---|
| 0 | 115 |
| 1 | 141 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 162.0ms | 334× | 2 | valid |
| 26.0ms | 160× | 1 | valid |
| 5.0ms | 18× | 0 | valid |
Compiled 64 to 32 computations (50% saved)
ival-exp: 109.0ms (75.3% of total)adjust: 15.0ms (10.4% of total)ival-add: 10.0ms (6.9% of total)ival-sub: 7.0ms (4.8% of total)ival-neg: 2.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 51.1% | (+.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 | 100.0% | (exp.f64 (neg.f64 x)) |
| ✓ | accuracy | 100.0% | (exp.f64 x) |
| ✓ | accuracy | 100.0% | (-.f64 (exp.f64 x) #s(literal 2 binary64)) |
| ✓ | accuracy | 51.2% | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 91.0ms | 167× | 2 | valid |
| 11.0ms | 80× | 1 | valid |
| 1.0ms | 9× | 0 | valid |
Compiled 23 to 9 computations (60.9% saved)
ival-exp: 48.0ms (63.6% of total)adjust: 20.0ms (26.5% of total)ival-sub: 4.0ms (5.3% of total)ival-add: 3.0ms (4% of total)ival-neg: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<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 | |
|---|---|---|---|---|
| 1.0ms | 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)) |
| 1× | batch-egg-rewrite |
| 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 (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 284 | 9 | 293 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 285 | 9 | 294 |
| Status | Accuracy | Program |
|---|---|---|
| 7.3% | (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (exp.f64 (neg.f64 x))) | |
| 51.1% | (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) | |
| 51.4% | (/.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) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) | |
| ▶ | 51.1% | (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x)) (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))) |
| ▶ | 51.2% | (+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) (exp.f64 (neg.f64 x))) |
| ▶ | 98.9% | #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))) |
| ▶ | 98.8% | #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))) |
| 98.5% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))) | |
| ▶ | 97.8% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
Compiled 276 to 154 computations (44.2% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
| ✓ | cost-diff | 192 | (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x)) |
| ✓ | cost-diff | 6400 | (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))) |
| ✓ | cost-diff | 8896 | (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x)) (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))) |
| ✓ | cost-diff | 0 | (exp.f64 (+.f64 x x)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) (exp.f64 (neg.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))) |
| 7 396× | lower-fma.f32 |
| 7 384× | lower-fma.f64 |
| 3 444× | lower-*.f32 |
| 3 430× | lower-*.f64 |
| 1 218× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 299 |
| 0 | 72 | 275 |
| 1 | 149 | 273 |
| 2 | 315 | 273 |
| 3 | 694 | 273 |
| 4 | 1314 | 273 |
| 5 | 2264 | 273 |
| 6 | 3763 | 273 |
| 7 | 6344 | 273 |
| 0 | 8065 | 270 |
| 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 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) (exp.f64 (neg.f64 x))) |
(/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) |
(-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) |
#s(literal 4 binary64) |
(exp.f64 (+.f64 x x)) |
(+.f64 x x) |
x |
(-.f64 #s(literal -2 binary64) (exp.f64 x)) |
#s(literal -2 binary64) |
(exp.f64 x) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x)) (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 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 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #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 (*.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))) |
(*.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 (*.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)) |
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 (*.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 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 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) (exp.f64 (neg.f64 x))) |
(/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) |
(-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) |
#s(literal 4 binary64) |
(exp.f64 (+.f64 x x)) |
(+.f64 x x) |
x |
(-.f64 #s(literal -2 binary64) (exp.f64 x)) |
#s(literal -2 binary64) |
(exp.f64 x) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x)) (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))) |
(+.f64 #s(literal -2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x)) |
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (exp.f64 x)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (exp.f64 x))) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
(+.f64 #s(literal -2 binary64) (exp.f64 x)) |
(exp.f64 x) |
x |
#s(literal -2 binary64) |
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x)) #s(literal 1 binary64))) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))) |
| ✓ | accuracy | 100.0% | (+.f64 (exp.f64 x) #s(literal -2 binary64)) |
| ✓ | accuracy | 99.9% | (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x)) (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))) |
| ✓ | accuracy | 51.1% | (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal -2 binary64) (exp.f64 x)) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) |
| ✓ | accuracy | 51.2% | (+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) (exp.f64 (neg.f64 x))) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x) |
| ✓ | accuracy | 100.0% | (*.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)) |
| ✓ | accuracy | 99.5% | (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) |
| ✓ | accuracy | 98.8% | #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 | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 97.8% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (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)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.7% | (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) |
| ✓ | accuracy | 98.9% | #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))) |
| 221.0ms | 167× | 2 | valid |
| 127.0ms | 80× | 1 | valid |
| 3.0ms | 9× | 0 | valid |
Compiled 278 to 43 computations (84.5% saved)
adjust: 92.0ms (30.5% of total)ival-exp: 92.0ms (30.5% of total)ival-mult: 37.0ms (12.3% of total)ival-sub: 24.0ms (8% of total)ival-add: 23.0ms (7.6% of total)ival-div: 17.0ms (5.6% of total)const: 15.0ms (5% of total)exact: 1.0ms (0.3% of total)ival-neg: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 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 (/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) (exp.f64 (neg.f64 x)))> |
#<alt (/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x)))> |
#<alt (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x)))> |
#<alt (exp.f64 (+.f64 x x))> |
#<alt (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x)) (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))))> |
#<alt (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))> |
#<alt (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x))> |
#<alt (/.f64 #s(literal 1 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 (-.f64 #s(literal -2 binary64) (exp.f64 x))> |
#<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 (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 (neg x)) (* -1 (/ (- 4 (exp (* 2 x))) (+ 2 (exp x)))))> |
#<alt (+ (exp (neg x)) (* -1 (/ (- 4 (exp (* 2 x))) (+ 2 (exp x)))))> |
#<alt (+ (exp (neg x)) (* -1 (/ (- 4 (exp (* 2 x))) (+ 2 (exp x)))))> |
#<alt (+ (exp (neg x)) (* -1 (/ (- 4 (exp (* 2 x))) (+ 2 (exp x)))))> |
#<alt (+ (exp (* -1 x)) (* -1 (/ (- 4 (exp (neg (* -2 x)))) (+ 2 (exp x)))))> |
#<alt (+ (exp (* -1 x)) (* -1 (/ (- 4 (exp (neg (* -2 x)))) (+ 2 (exp x)))))> |
#<alt (+ (exp (* -1 x)) (* -1 (/ (- 4 (exp (neg (* -2 x)))) (+ 2 (exp x)))))> |
#<alt (+ (exp (* -1 x)) (* -1 (/ (- 4 (exp (neg (* -2 x)))) (+ 2 (exp x)))))> |
#<alt -1> |
#<alt (- x 1)> |
#<alt (- (* x (+ 1 (* 1/2 x))) 1)> |
#<alt (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)> |
#<alt (* -1 (/ (- 4 (exp (* 2 x))) (+ 2 (exp x))))> |
#<alt (* -1 (/ (- 4 (exp (* 2 x))) (+ 2 (exp x))))> |
#<alt (* -1 (/ (- 4 (exp (* 2 x))) (+ 2 (exp x))))> |
#<alt (* -1 (/ (- 4 (exp (* 2 x))) (+ 2 (exp x))))> |
#<alt (* -1 (/ (- 4 (exp (neg (* -2 x)))) (+ 2 (exp x))))> |
#<alt (* -1 (/ (- 4 (exp (neg (* -2 x)))) (+ 2 (exp x))))> |
#<alt (* -1 (/ (- 4 (exp (neg (* -2 x)))) (+ 2 (exp x))))> |
#<alt (* -1 (/ (- 4 (exp (neg (* -2 x)))) (+ 2 (exp x))))> |
#<alt 3> |
#<alt (+ 3 (* -2 x))> |
#<alt (+ 3 (* x (- (* -2 x) 2)))> |
#<alt (+ 3 (* x (- (* x (- (* -4/3 x) 2)) 2)))> |
#<alt (- 4 (exp (* 2 x)))> |
#<alt (- 4 (exp (* 2 x)))> |
#<alt (- 4 (exp (* 2 x)))> |
#<alt (- 4 (exp (* 2 x)))> |
#<alt (- 4 (exp (neg (* -2 x))))> |
#<alt (- 4 (exp (neg (* -2 x))))> |
#<alt (- 4 (exp (neg (* -2 x))))> |
#<alt (- 4 (exp (neg (* -2 x))))> |
#<alt 1> |
#<alt (+ 1 (* 2 x))> |
#<alt (+ 1 (* x (+ 2 (* 2 x))))> |
#<alt (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))> |
#<alt (exp (* 2 x))> |
#<alt (exp (* 2 x))> |
#<alt (exp (* 2 x))> |
#<alt (exp (* 2 x))> |
#<alt (exp (neg (* -2 x)))> |
#<alt (exp (neg (* -2 x)))> |
#<alt (exp (neg (* -2 x)))> |
#<alt (exp (neg (* -2 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))) (- (exp x) 2)) (exp x))> |
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))> |
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))> |
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))> |
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))> |
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))> |
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))> |
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))> |
#<alt -1> |
#<alt (- (* -2 x) 1)> |
#<alt (- (* x (- (* -3 x) 2)) 1)> |
#<alt (- (* x (- (* x (- (* -13/3 x) 3)) 2)) 1)> |
#<alt (/ (exp x) (- (exp x) 2))> |
#<alt (/ (exp x) (- (exp x) 2))> |
#<alt (/ (exp x) (- (exp x) 2))> |
#<alt (/ (exp x) (- (exp x) 2))> |
#<alt (/ (exp x) (- (exp x) 2))> |
#<alt (/ (exp x) (- (exp x) 2))> |
#<alt (/ (exp x) (- (exp x) 2))> |
#<alt (/ (exp x) (- (exp x) 2))> |
#<alt (* -1 (pow x 2))> |
#<alt (* (pow x 2) (- (* -2 x) 1))> |
#<alt (* (pow x 2) (- (* x (- (* -37/12 x) 2)) 1))> |
#<alt (* (pow x 2) (- (* x (- (* x (- (* -9/2 x) 37/12)) 2)) 1))> |
#<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 (- (* -1 x) 1)> |
#<alt (- (* x (- (* -3/2 x) 1)) 1)> |
#<alt (- (* x (- (* x (- (* -13/6 x) 3/2)) 1)) 1)> |
#<alt (/ 1 (- (exp x) 2))> |
#<alt (/ 1 (- (exp x) 2))> |
#<alt (/ 1 (- (exp x) 2))> |
#<alt (/ 1 (- (exp x) 2))> |
#<alt (/ 1 (- (exp x) 2))> |
#<alt (/ 1 (- (exp x) 2))> |
#<alt (/ 1 (- (exp x) 2))> |
#<alt (/ 1 (- (exp x) 2))> |
#<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 -3> |
#<alt (- (* -1 x) 3)> |
#<alt (- (* x (- (* -1/2 x) 1)) 3)> |
#<alt (- (* x (- (* x (- (* -1/6 x) 1/2)) 1)) 3)> |
#<alt (* -1 (+ 2 (exp x)))> |
#<alt (* -1 (+ 2 (exp x)))> |
#<alt (* -1 (+ 2 (exp x)))> |
#<alt (* -1 (+ 2 (exp x)))> |
#<alt (* -1 (+ 2 (exp x)))> |
#<alt (* -1 (+ 2 (exp x)))> |
#<alt (* -1 (+ 2 (exp x)))> |
#<alt (* -1 (+ 2 (exp x)))> |
#<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)> |
66 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | inf | (* x (+ (* (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (* x (* x x))) x)) |
| 6.0ms | x | @ | -inf | (* x (* x x)) |
| 4.0ms | x | @ | inf | (+ (/ (- 4 (exp (+ x x))) (- -2 (exp x))) (exp (neg x))) |
| 3.0ms | x | @ | -inf | (* x (+ (* (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (* x (* x x))) x)) |
| 2.0ms | x | @ | -inf | (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) |
| 1× | egg-herbie |
| 12 492× | lower-fma.f64 |
| 12 492× | lower-fma.f32 |
| 3 624× | lower-*.f64 |
| 3 624× | lower-*.f32 |
| 2 870× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 217 | 2381 |
| 1 | 615 | 2319 |
| 2 | 1474 | 2256 |
| 3 | 4231 | 2253 |
| 4 | 7541 | 2253 |
| 0 | 8085 | 2116 |
| 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))) |
(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 (neg x)) (* -1 (/ (- 4 (exp (* 2 x))) (+ 2 (exp x))))) |
(+ (exp (neg x)) (* -1 (/ (- 4 (exp (* 2 x))) (+ 2 (exp x))))) |
(+ (exp (neg x)) (* -1 (/ (- 4 (exp (* 2 x))) (+ 2 (exp x))))) |
(+ (exp (neg x)) (* -1 (/ (- 4 (exp (* 2 x))) (+ 2 (exp x))))) |
(+ (exp (* -1 x)) (* -1 (/ (- 4 (exp (neg (* -2 x)))) (+ 2 (exp x))))) |
(+ (exp (* -1 x)) (* -1 (/ (- 4 (exp (neg (* -2 x)))) (+ 2 (exp x))))) |
(+ (exp (* -1 x)) (* -1 (/ (- 4 (exp (neg (* -2 x)))) (+ 2 (exp x))))) |
(+ (exp (* -1 x)) (* -1 (/ (- 4 (exp (neg (* -2 x)))) (+ 2 (exp x))))) |
-1 |
(- x 1) |
(- (* x (+ 1 (* 1/2 x))) 1) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1) |
(* -1 (/ (- 4 (exp (* 2 x))) (+ 2 (exp x)))) |
(* -1 (/ (- 4 (exp (* 2 x))) (+ 2 (exp x)))) |
(* -1 (/ (- 4 (exp (* 2 x))) (+ 2 (exp x)))) |
(* -1 (/ (- 4 (exp (* 2 x))) (+ 2 (exp x)))) |
(* -1 (/ (- 4 (exp (neg (* -2 x)))) (+ 2 (exp x)))) |
(* -1 (/ (- 4 (exp (neg (* -2 x)))) (+ 2 (exp x)))) |
(* -1 (/ (- 4 (exp (neg (* -2 x)))) (+ 2 (exp x)))) |
(* -1 (/ (- 4 (exp (neg (* -2 x)))) (+ 2 (exp x)))) |
3 |
(+ 3 (* -2 x)) |
(+ 3 (* x (- (* -2 x) 2))) |
(+ 3 (* x (- (* x (- (* -4/3 x) 2)) 2))) |
(- 4 (exp (* 2 x))) |
(- 4 (exp (* 2 x))) |
(- 4 (exp (* 2 x))) |
(- 4 (exp (* 2 x))) |
(- 4 (exp (neg (* -2 x)))) |
(- 4 (exp (neg (* -2 x)))) |
(- 4 (exp (neg (* -2 x)))) |
(- 4 (exp (neg (* -2 x)))) |
1 |
(+ 1 (* 2 x)) |
(+ 1 (* x (+ 2 (* 2 x)))) |
(+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))) |
(exp (* 2 x)) |
(exp (* 2 x)) |
(exp (* 2 x)) |
(exp (* 2 x)) |
(exp (neg (* -2 x))) |
(exp (neg (* -2 x))) |
(exp (neg (* -2 x))) |
(exp (neg (* -2 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) 2)) (exp x)) |
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x)) |
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x)) |
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x)) |
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x)) |
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x)) |
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x)) |
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x)) |
-1 |
(- (* -2 x) 1) |
(- (* x (- (* -3 x) 2)) 1) |
(- (* x (- (* x (- (* -13/3 x) 3)) 2)) 1) |
(/ (exp x) (- (exp x) 2)) |
(/ (exp x) (- (exp x) 2)) |
(/ (exp x) (- (exp x) 2)) |
(/ (exp x) (- (exp x) 2)) |
(/ (exp x) (- (exp x) 2)) |
(/ (exp x) (- (exp x) 2)) |
(/ (exp x) (- (exp x) 2)) |
(/ (exp x) (- (exp x) 2)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* -2 x) 1)) |
(* (pow x 2) (- (* x (- (* -37/12 x) 2)) 1)) |
(* (pow x 2) (- (* x (- (* x (- (* -9/2 x) 37/12)) 2)) 1)) |
(+ (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 |
(- (* -1 x) 1) |
(- (* x (- (* -3/2 x) 1)) 1) |
(- (* x (- (* x (- (* -13/6 x) 3/2)) 1)) 1) |
(/ 1 (- (exp x) 2)) |
(/ 1 (- (exp x) 2)) |
(/ 1 (- (exp x) 2)) |
(/ 1 (- (exp x) 2)) |
(/ 1 (- (exp x) 2)) |
(/ 1 (- (exp x) 2)) |
(/ 1 (- (exp x) 2)) |
(/ 1 (- (exp x) 2)) |
(* 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))))) |
-3 |
(- (* -1 x) 3) |
(- (* x (- (* -1/2 x) 1)) 3) |
(- (* x (- (* x (- (* -1/6 x) 1/2)) 1)) 3) |
(* -1 (+ 2 (exp x))) |
(* -1 (+ 2 (exp x))) |
(* -1 (+ 2 (exp x))) |
(* -1 (+ 2 (exp x))) |
(* -1 (+ 2 (exp x))) |
(* -1 (+ 2 (exp x))) |
(* -1 (+ 2 (exp x))) |
(* -1 (+ 2 (exp x))) |
-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) |
| 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 (*.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 (*.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 (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)))))) |
(*.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 (*.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 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.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 1/360 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (*.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 1/360 binary64) (*.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.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 1/360 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (*.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 x (*.f64 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 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.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 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (*.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 x (*.f64 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 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) |
(* (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 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) |
(* (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) (+ 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 (*.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 (*.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 (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) |
(*.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 (*.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 (*.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 (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)))))) |
(*.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 (* 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))) |
(* 1/360 (pow x 6)) |
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* 1/360 (pow x 6)) |
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (*.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 x (*.f64 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)))))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x) |
(* 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))))) |
(*.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* 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))))) |
(*.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/360 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/360 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x 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 (*.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 (*.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 (neg x)) (* -1 (/ (- 4 (exp (* 2 x))) (+ 2 (exp x))))) |
(-.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) |
(+ (exp (neg x)) (* -1 (/ (- 4 (exp (* 2 x))) (+ 2 (exp x))))) |
(-.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) |
(+ (exp (neg x)) (* -1 (/ (- 4 (exp (* 2 x))) (+ 2 (exp x))))) |
(-.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) |
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(-.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) |
(+ (exp (* -1 x)) (* -1 (/ (- 4 (exp (neg (* -2 x)))) (+ 2 (exp x))))) |
(-.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) |
(+ (exp (* -1 x)) (* -1 (/ (- 4 (exp (neg (* -2 x)))) (+ 2 (exp x))))) |
(-.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) |
(+ (exp (* -1 x)) (* -1 (/ (- 4 (exp (neg (* -2 x)))) (+ 2 (exp x))))) |
(-.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) |
-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)) |
(* -1 (/ (- 4 (exp (* 2 x))) (+ 2 (exp x)))) |
(/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) |
(* -1 (/ (- 4 (exp (* 2 x))) (+ 2 (exp x)))) |
(/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) |
(* -1 (/ (- 4 (exp (* 2 x))) (+ 2 (exp x)))) |
(/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) |
(* -1 (/ (- 4 (exp (* 2 x))) (+ 2 (exp x)))) |
(/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) |
(* -1 (/ (- 4 (exp (neg (* -2 x)))) (+ 2 (exp x)))) |
(/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) |
(* -1 (/ (- 4 (exp (neg (* -2 x)))) (+ 2 (exp x)))) |
(/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) |
(* -1 (/ (- 4 (exp (neg (* -2 x)))) (+ 2 (exp x)))) |
(/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) |
(* -1 (/ (- 4 (exp (neg (* -2 x)))) (+ 2 (exp x)))) |
(/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -2 x)) |
(-.f64 #s(literal 3 binary64) (+.f64 x x)) |
(+ 3 (* x (- (* -2 x) 2))) |
(fma.f64 x (-.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 3 binary64)) |
(+ 3 (* x (- (* x (- (* -4/3 x) 2)) 2))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64)) |
(- 4 (exp (* 2 x))) |
(-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) |
(- 4 (exp (* 2 x))) |
(-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) |
(- 4 (exp (* 2 x))) |
(-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) |
(- 4 (exp (* 2 x))) |
(-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) |
(- 4 (exp (neg (* -2 x)))) |
(-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) |
(- 4 (exp (neg (* -2 x)))) |
(-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) |
(- 4 (exp (neg (* -2 x)))) |
(-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) |
(- 4 (exp (neg (* -2 x)))) |
(-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 x)) |
(+.f64 #s(literal 1 binary64) (+.f64 x x)) |
(+ 1 (* x (+ 2 (* 2 x)))) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)) |
(+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 4/3 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(exp (* 2 x)) |
(exp.f64 (+.f64 x x)) |
(exp (* 2 x)) |
(exp.f64 (+.f64 x x)) |
(exp (* 2 x)) |
(exp.f64 (+.f64 x x)) |
(exp (* 2 x)) |
(exp.f64 (+.f64 x x)) |
(exp (neg (* -2 x))) |
(exp.f64 (+.f64 x x)) |
(exp (neg (* -2 x))) |
(exp.f64 (+.f64 x x)) |
(exp (neg (* -2 x))) |
(exp.f64 (+.f64 x x)) |
(exp (neg (* -2 x))) |
(exp.f64 (+.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 (*.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 (*.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) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x)) |
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 x)) |
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x)) |
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 x)) |
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x)) |
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 x)) |
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x)) |
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 x)) |
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x)) |
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 x)) |
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x)) |
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 x)) |
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x)) |
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 x)) |
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x)) |
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 x)) |
-1 |
#s(literal -1 binary64) |
(- (* -2 x) 1) |
(-.f64 #s(literal -1 binary64) (+.f64 x x)) |
(- (* x (- (* -3 x) 2)) 1) |
(fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (* x (- (* x (- (* -13/3 x) 3)) 2)) 1) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -13/3 binary64) #s(literal -3 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(/ (exp x) (- (exp x) 2)) |
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(/ (exp x) (- (exp x) 2)) |
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(/ (exp x) (- (exp x) 2)) |
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(/ (exp x) (- (exp x) 2)) |
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(/ (exp x) (- (exp x) 2)) |
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(/ (exp x) (- (exp x) 2)) |
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(/ (exp x) (- (exp x) 2)) |
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(/ (exp x) (- (exp x) 2)) |
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(* (pow x 2) (- (* -2 x) 1)) |
(*.f64 x (*.f64 x (-.f64 #s(literal -1 binary64) (+.f64 x x)))) |
(* (pow x 2) (- (* x (- (* -37/12 x) 2)) 1)) |
(*.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -37/12 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)))) |
(* (pow x 2) (- (* x (- (* x (- (* -9/2 x) 37/12)) 2)) 1)) |
(*.f64 x (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -9/2 binary64) #s(literal -37/12 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)))) |
(+ (exp x) (/ 1 (- (exp x) 2))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))) |
(+ (exp x) (/ 1 (- (exp x) 2))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))) |
(+ (exp x) (/ 1 (- (exp x) 2))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))) |
(+ (exp x) (/ 1 (- (exp x) 2))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))) |
(+ (exp x) (/ 1 (- (exp x) 2))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))) |
(+ (exp x) (/ 1 (- (exp x) 2))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))) |
(+ (exp x) (/ 1 (- (exp x) 2))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))) |
(+ (exp x) (/ 1 (- (exp x) 2))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))) |
-1 |
#s(literal -1 binary64) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(- (* x (- (* -3/2 x) 1)) 1) |
(fma.f64 x (fma.f64 x #s(literal -3/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(- (* x (- (* x (- (* -13/6 x) 3/2)) 1)) 1) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -13/6 binary64) #s(literal -3/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/ 1 (- (exp x) 2)) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(/ 1 (- (exp x) 2)) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(/ 1 (- (exp x) 2)) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(/ 1 (- (exp x) 2)) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(/ 1 (- (exp x) 2)) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(/ 1 (- (exp x) 2)) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(/ 1 (- (exp x) 2)) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) |
(/ 1 (- (exp x) 2)) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 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 x (*.f64 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 x (*.f64 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))) |
(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))) |
-3 |
#s(literal -3 binary64) |
(- (* -1 x) 3) |
(-.f64 #s(literal -3 binary64) x) |
(- (* x (- (* -1/2 x) 1)) 3) |
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) |
(- (* x (- (* x (- (* -1/6 x) 1/2)) 1)) 3) |
(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)) |
(* -1 (+ 2 (exp x))) |
(-.f64 #s(literal -2 binary64) (exp.f64 x)) |
(* -1 (+ 2 (exp x))) |
(-.f64 #s(literal -2 binary64) (exp.f64 x)) |
(* -1 (+ 2 (exp x))) |
(-.f64 #s(literal -2 binary64) (exp.f64 x)) |
(* -1 (+ 2 (exp x))) |
(-.f64 #s(literal -2 binary64) (exp.f64 x)) |
(* -1 (+ 2 (exp x))) |
(-.f64 #s(literal -2 binary64) (exp.f64 x)) |
(* -1 (+ 2 (exp x))) |
(-.f64 #s(literal -2 binary64) (exp.f64 x)) |
(* -1 (+ 2 (exp x))) |
(-.f64 #s(literal -2 binary64) (exp.f64 x)) |
(* -1 (+ 2 (exp x))) |
(-.f64 #s(literal -2 binary64) (exp.f64 x)) |
-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× | batch-egg-rewrite |
| 6 442× | lower-*.f32 |
| 6 428× | lower-*.f64 |
| 4 198× | lower-/.f32 |
| 4 192× | lower-/.f64 |
| 4 038× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 255 |
| 0 | 72 | 229 |
| 1 | 317 | 215 |
| 2 | 2577 | 205 |
| 0 | 9702 | 202 |
| 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 (/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) (exp.f64 (neg.f64 x))) |
(/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) |
(-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) |
(exp.f64 (+.f64 x x)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x)) (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))) |
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x)) |
(/.f64 #s(literal 1 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))) |
(-.f64 #s(literal -2 binary64) (exp.f64 x)) |
(+.f64 (exp.f64 x) #s(literal -2 binary64)) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.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))) |
(+.f64 (*.f64 x x) (*.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 (*.f64 x x) (*.f64 x x)))) |
(+.f64 (*.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 (*.f64 x x) (*.f64 x x))) (*.f64 x x)) |
(fma.f64 x x (*.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 (*.f64 x x) (*.f64 x x)))) |
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (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 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 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (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 x)) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (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 (*.f64 x x)) |
(fma.f64 (*.f64 x (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)) (*.f64 x x)) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (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 x)) |
(fma.f64 (*.f64 x (*.f64 x (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 x) (*.f64 x x)) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.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 (*.f64 x x) (*.f64 x x)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (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 (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 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (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 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (fma.f64 (*.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 (*.f64 x x) (*.f64 x x))) (*.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 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.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 (*.f64 x x) (*.f64 x x))) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.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 (*.f64 x x) (*.f64 x x))) (*.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 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.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 (*.f64 x x) (*.f64 x x))) (*.f64 x x))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (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 (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 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (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)))) (fma.f64 x (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (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 (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 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (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 (*.f64 x (*.f64 (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) (fma.f64 x (*.f64 (*.f64 x x) (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))) (neg.f64 x)))) (fma.f64 x (*.f64 (*.f64 x x) (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))) (neg.f64 x))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (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 (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 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (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) (fma.f64 x (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (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 (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 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (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 (*.f64 (*.f64 (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) (fma.f64 x (*.f64 (*.f64 x x) (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))) (neg.f64 x))) x) (fma.f64 x (*.f64 (*.f64 x x) (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))) (neg.f64 x))) |
(*.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)) |
(*.f64 (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) x) |
(+.f64 x (*.f64 (*.f64 x x) (*.f64 x (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 (*.f64 (*.f64 x x) (*.f64 x (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) |
(-.f64 (/.f64 (*.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 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (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)))))) (fma.f64 x (*.f64 (*.f64 x x) (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))) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 x x) (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))) (neg.f64 x)))) |
(fma.f64 x (*.f64 (*.f64 x x) (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) |
(fma.f64 (*.f64 x x) (*.f64 x (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) |
(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) |
(fma.f64 (*.f64 x (*.f64 x x)) (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) |
(fma.f64 (*.f64 x (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 x) x) |
(fma.f64 (*.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 x)) x x) |
(fma.f64 (*.f64 (*.f64 x (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) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (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 (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 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (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))))))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (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 (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 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (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))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 (*.f64 x x) (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))) (neg.f64 x)) (*.f64 (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) (fma.f64 x (*.f64 (*.f64 x x) (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))) (neg.f64 x))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (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 (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 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (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))) (fma.f64 x (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (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 (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 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (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 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (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 (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 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (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))) (fma.f64 x x (-.f64 (*.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 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (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 (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 (*.f64 x x) (*.f64 x x)))))) |
(/.f64 (*.f64 (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) (fma.f64 x (*.f64 (*.f64 x x) (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))) (neg.f64 x))) (fma.f64 x (*.f64 (*.f64 x x) (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))) (neg.f64 x))) |
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(+.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))) #s(literal 1/12 binary64)) |
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(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)) |
(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 (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) |
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) x #s(literal 1/12 binary64)) |
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#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(*.f64 x x) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 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 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 x x)) |
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(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (exp.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 4 binary64)) (exp.f64 (+.f64 x x)))) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 4 binary64)) (-.f64 #s(literal -2 binary64) (exp.f64 x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x)))) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)))) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 4 binary64)) (neg.f64 (exp.f64 (+.f64 x x))))) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 4 binary64)) (neg.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x))))) |
(/.f64 (-.f64 (*.f64 #s(literal -4 binary64) (-.f64 #s(literal -2 binary64) (exp.f64 x))) (*.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x))) (exp.f64 (+.f64 x x)))) (*.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x))) (-.f64 #s(literal -2 binary64) (exp.f64 x)))) |
(/.f64 (-.f64 (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x)))) (*.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x))) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x))) (/.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))))) |
(/.f64 (-.f64 (*.f64 #s(literal -4 binary64) (neg.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)))) (*.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x))) (neg.f64 (exp.f64 (+.f64 x x))))) (pow.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) (fma.f64 #s(literal 2 binary64) (exp.f64 x) #s(literal 4 binary64)))) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (fma.f64 #s(literal 2 binary64) (exp.f64 x) #s(literal 4 binary64))) #s(literal 8 binary64))) (pow.f64 (+.f64 (exp.f64 (+.f64 x x)) (fma.f64 #s(literal 2 binary64) (exp.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (*.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 2 binary64))) |
(pow.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (exp.f64 x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (exp.f64 x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(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 (+.f64 x x)) (fma.f64 #s(literal 2 binary64) (exp.f64 x) #s(literal 4 binary64))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -8 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))) #s(literal -1 binary64)) |
(*.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (exp.f64 x)))) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (exp.f64 x))) |
(*.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 x)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x))))) |
(*.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 -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (fma.f64 #s(literal 2 binary64) (exp.f64 x) #s(literal 4 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (exp.f64 x))) (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (exp.f64 x))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x)))) (+.f64 #s(literal -2 binary64) (exp.f64 x))) |
(*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -8 binary64) (exp.f64 (+.f64 x x)))) (fma.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -8 binary64))) #s(literal -1 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 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -8 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (fma.f64 #s(literal 2 binary64) (exp.f64 x) #s(literal 4 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)) (-.f64 #s(literal 64 binary64) (exp.f64 (+.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) #s(literal 16 binary64)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)) (-.f64 #s(literal 16 binary64) (exp.f64 (+.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))))) |
Compiled 43 269 to 3 093 computations (92.9% saved)
14 alts after pruning (12 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 514 | 10 | 1 524 |
| Fresh | 2 | 2 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 519 | 14 | 1 533 |
| Status | Accuracy | Program |
|---|---|---|
| 51.1% | (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) | |
| 52.7% | (/.f64 (fma.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) | |
| 51.4% | (/.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) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) | |
| 51.2% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (exp.f64 x)))) (exp.f64 x)) | |
| 98.8% | #s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp 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)))) | |
| ▶ | 98.9% | #s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp 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))) |
| ▶ | 98.9% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x (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))) |
| ✓ | 98.8% | #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))) |
| ▶ | 98.5% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x))) |
| ▶ | 97.8% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) x))) |
| 97.8% | #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 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) (*.f64 x (*.f64 x x)) x))) | |
| ▶ | 97.8% | #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 (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x x)) x))) |
| 48.7% | #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)))))))) | |
| ✓ | 97.8% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
Compiled 428 to 214 computations (50% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (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)) |
| ✓ | cost-diff | 0 | (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) |
| ✓ | cost-diff | 0 | (*.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)) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp 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))) |
| ✓ | cost-diff | 0 | #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) |
| ✓ | cost-diff | 0 | (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.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 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.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 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x x)) x))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) x) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) x)) |
| ✓ | cost-diff | 0 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) x))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x)) |
| ✓ | cost-diff | 0 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x (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) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 (*.f64 x (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) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 (*.f64 x (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)) |
| ✓ | cost-diff | 0 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x (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))) |
| 10 306× | lower-fma.f32 |
| 10 288× | lower-fma.f64 |
| 4 082× | lower-*.f32 |
| 4 052× | lower-*.f64 |
| 1 552× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 593 |
| 0 | 94 | 542 |
| 1 | 225 | 530 |
| 2 | 380 | 520 |
| 3 | 677 | 520 |
| 4 | 1371 | 520 |
| 5 | 2072 | 520 |
| 6 | 3427 | 520 |
| 7 | 6041 | 520 |
| 0 | 8221 | 512 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x (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))) |
(*.f64 x (fma.f64 (*.f64 (*.f64 x (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)) |
x |
(fma.f64 (*.f64 (*.f64 x (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) |
(*.f64 (*.f64 x (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) |
(*.f64 x (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))) |
(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 (fma.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 #s(literal 1/20160 binary64)) |
#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 (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x)) |
x |
(fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x) |
(*.f64 x x) |
#s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) |
(*.f64 x #s(literal 1/12 binary64)) |
#s(literal 1/12 binary64) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) x))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) x)) |
x |
(fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) x) |
(*.f64 x x) |
#s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))) |
#s(literal 1/360 binary64) |
(*.f64 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 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.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 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x x)) x)) |
x |
(fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x x)) x) |
#s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) |
(*.f64 x (*.f64 x #s(literal 1/20160 binary64))) |
(*.f64 x #s(literal 1/20160 binary64)) |
#s(literal 1/20160 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
#s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp 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))) |
(*.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 (*.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 (*.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) |
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 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))) (*.f64 x (fma.f64 (*.f64 (*.f64 x (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 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 (fma.f64 (*.f64 (*.f64 x (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)) |
(*.f64 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)) |
x |
(fma.f64 (*.f64 (*.f64 x (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) |
(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) |
(*.f64 (*.f64 x (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) |
(*.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 (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 (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 (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 x (fma.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 #s(literal 1/20160 binary64)) |
#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 (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x)) |
x |
(fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x) |
(*.f64 x x) |
#s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) |
(*.f64 x #s(literal 1/12 binary64)) |
#s(literal 1/12 binary64) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) x))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) x)) |
x |
(fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) x) |
(*.f64 x x) |
#s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))) |
#s(literal 1/360 binary64) |
(*.f64 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 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.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 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)))) |
(*.f64 x (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.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 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64))) |
x |
(fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.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 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) x) |
#s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 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 x (*.f64 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 (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x #s(literal 1/20160 binary64))) |
(*.f64 x #s(literal 1/20160 binary64)) |
#s(literal 1/20160 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
#s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp 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))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 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))) |
(*.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 (*.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)) |
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 (*.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 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 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) #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)) |
#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 | 100.0% | (*.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)) |
| ✓ | accuracy | 100.0% | (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)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 98.9% | #s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp 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))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) |
| ✓ | accuracy | 98.9% | #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 (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x x)) x))) |
| ✓ | accuracy | 3.9% | #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 98.8% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) x))) |
| ✓ | accuracy | 6.5% | #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) |
| ✓ | accuracy | 100.0% | (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x)) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/12 binary64)) |
| ✓ | accuracy | 98.8% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x))) |
| ✓ | accuracy | 97.4% | #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x (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) |
| ✓ | accuracy | 99.7% | (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 x (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))) |
| ✓ | accuracy | 98.9% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x (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))) |
| 225.0ms | 167× | 2 | valid |
| 74.0ms | 80× | 1 | valid |
| 35.0ms | 9× | 0 | valid |
Compiled 441 to 56 computations (87.3% saved)
ival-mult: 95.0ms (37.5% of total)ival-exp: 59.0ms (23.3% of total)adjust: 39.0ms (15.4% of total)ival-add: 29.0ms (11.4% of total)const: 16.0ms (6.3% of total)ival-div: 10.0ms (3.9% of total)ival-sub: 4.0ms (1.6% of total)ival-neg: 1.0ms (0.4% 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 (*.f64 (*.f64 x (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)))> |
#<alt (*.f64 x (fma.f64 (*.f64 (*.f64 x (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))> |
#<alt (fma.f64 (*.f64 (*.f64 x (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)> |
#<alt (*.f64 (*.f64 x (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)> |
#<alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x)))> |
#<alt (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x))> |
#<alt (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x)> |
#<alt (*.f64 x x)> |
#<alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) x)))> |
#<alt (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) x))> |
#<alt (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) x)> |
#<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 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.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 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x x)) x))> |
#<alt (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x x)) x)> |
#<alt #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))> |
#<alt #s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp 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)))> |
#<alt (*.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))> |
#<alt (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)> |
#<alt (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))> |
#<alt (*.f64 x (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)))> |
#<alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))> |
#<alt #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))> |
#<alt (*.f64 x #s(literal 1/12 binary64))> |
#<alt #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))> |
#<alt (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))> |
#<alt (*.f64 x (*.f64 x x))> |
#<alt (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))> |
#<alt (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 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 (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 (* 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 (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 (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) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))> |
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))> |
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))> |
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))> |
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))> |
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))> |
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))> |
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (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 (* 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 (* 1/12 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 (* 1/360 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 (* 1/12 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 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<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 (pow x 3))> |
#<alt (* 1/360 (pow x 3))> |
#<alt (* 1/360 (pow x 3))> |
#<alt (* 1/360 (pow x 3))> |
#<alt (* 1/360 (pow x 3))> |
#<alt (* 1/360 (pow x 3))> |
#<alt (* 1/360 (pow x 3))> |
#<alt (* 1/360 (pow x 3))> |
#<alt (* 1/360 (pow x 3))> |
#<alt (* 1/360 (pow x 3))> |
#<alt (* 1/360 (pow x 3))> |
#<alt (* 1/360 (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 (pow x 3)> |
#<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 (* 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))> |
84 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | (* x (+ (* (* x x) 1/360) 1/12)) |
| 4.0ms | x | @ | inf | (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x) |
| 4.0ms | x | @ | -inf | (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2)))) |
| 1.0ms | x | @ | inf | (* x (+ (* (* (* x (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12)) x) x) x)) |
| 1.0ms | x | @ | -inf | (* x (+ (* (* (* x (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12)) x) x) x)) |
| 1× | egg-herbie |
| 10 784× | lower-fma.f64 |
| 10 784× | lower-fma.f32 |
| 3 736× | lower-*.f64 |
| 3 736× | lower-*.f32 |
| 1 734× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 117 | 3328 |
| 1 | 400 | 3222 |
| 2 | 1060 | 3169 |
| 3 | 3003 | 3162 |
| 4 | 6166 | 3162 |
| 0 | 8187 | 2971 |
| 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 (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 (* 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))) |
(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))) |
(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) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x)) |
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x)) |
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x)) |
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x)) |
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x)) |
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x)) |
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x)) |
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (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)))))))) |
(* 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)))))) |
(* 1/12 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))) |
(* 1/360 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))))) |
(* 1/12 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 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 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 (pow x 3)) |
(* 1/360 (pow x 3)) |
(* 1/360 (pow x 3)) |
(* 1/360 (pow x 3)) |
(* 1/360 (pow x 3)) |
(* 1/360 (pow x 3)) |
(* 1/360 (pow x 3)) |
(* 1/360 (pow x 3)) |
(* 1/360 (pow x 3)) |
(* 1/360 (pow x 3)) |
(* 1/360 (pow x 3)) |
(* 1/360 (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) |
(pow x 3) |
(* 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)) |
(* 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)) |
| 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)) |
(- (+ (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)))))) |
(*.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)))))))) |
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(* 1/360 (pow x 5)) |
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(*.f64 x x) |
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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) |
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(pow x 2) |
(*.f64 x x) |
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x |
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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))))) |
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(* 1/20160 (pow x 4)) |
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(*.f64 x x) |
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(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
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x |
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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 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
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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))))) |
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(+ 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 x (*.f64 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 x (*.f64 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)) |
(* 1/12 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 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(*.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 (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(*.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))) |
(* 1/20160 (pow x 5)) |
(*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.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)))) |
(* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.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)))) |
(* 1/20160 (pow x 5)) |
(*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.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 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.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)))) |
(* 1/360 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))) |
(* 1/12 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 x (*.f64 (*.f64 x x) #s(literal 1/360 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))) |
(* (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 x (*.f64 (*.f64 x x) #s(literal 1/360 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))) |
(* (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))) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 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 x (*.f64 (*.f64 x x) #s(literal 1/360 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))) |
(* (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 x (*.f64 (*.f64 x x) #s(literal 1/360 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))) |
(* (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 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) |
(* 1/360 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) |
(* 1/360 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) |
(* 1/360 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) |
(* 1/360 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) |
(* 1/360 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) |
(* 1/360 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) |
(* 1/360 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) |
(* 1/360 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) |
(* 1/360 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) |
(* 1/360 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) |
(* 1/360 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x 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 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(* 1/20160 (pow x 2)) |
(*.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))) |
(* 1/20160 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
| 1× | batch-egg-rewrite |
| 4 708× | lower-*.f32 |
| 4 678× | lower-*.f64 |
| 4 438× | lower-/.f64 |
| 4 438× | lower-/.f32 |
| 3 582× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 522 |
| 0 | 94 | 475 |
| 1 | 420 | 465 |
| 2 | 2439 | 447 |
| 0 | 8419 | 439 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x (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))) |
(*.f64 x (fma.f64 (*.f64 (*.f64 x (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)) |
(fma.f64 (*.f64 (*.f64 x (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) |
(*.f64 (*.f64 x (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) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x)) |
(fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x) |
(*.f64 x x) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) x))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) x)) |
(fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #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) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.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 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x x)) x) |
#s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) |
#s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp 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))) |
(*.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)) |
(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 (*.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 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 (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) |
#s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) |
(*.f64 x #s(literal 1/12 binary64)) |
#s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
(*.f64 x (*.f64 x #s(literal 1/20160 binary64))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) |
| Outputs |
|---|
#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))) |
(+.f64 (*.f64 x x) (*.f64 x (*.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))))) |
(+.f64 (*.f64 x (*.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)))) (*.f64 x x)) |
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(/.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) (*.f64 (fma.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)))) #s(literal 1/1728 binary64))) (-.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))) #s(literal 1/144 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (*.f64 x #s(literal 1/12 binary64))))) |
(/.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))) #s(literal -1/144 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 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) (*.f64 (fma.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)))) #s(literal 1/1728 binary64)) x) (-.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))) #s(literal 1/144 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (*.f64 x #s(literal 1/12 binary64))))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))) #s(literal -1/144 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))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) (*.f64 (fma.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 (*.f64 x (*.f64 x x)) #s(literal 1/1728 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (-.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 x #s(literal 1/12 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (*.f64 x #s(literal 1/12 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))) (*.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 x #s(literal 1/12 binary64))))) (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (*.f64 x #s(literal 1/12 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) (*.f64 (fma.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)))) #s(literal 1/1728 binary64)))) (neg.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))) #s(literal 1/144 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (*.f64 x #s(literal 1/12 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))) #s(literal -1/144 binary64)))) (neg.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 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) (*.f64 (fma.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)))) #s(literal 1/1728 binary64)) x)) (neg.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))) #s(literal 1/144 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (*.f64 x #s(literal 1/12 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))) #s(literal -1/144 binary64)) x)) (neg.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 (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)) x) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) (*.f64 x #s(literal 1/360 binary64))) |
(+.f64 (*.f64 x #s(literal 1/360 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) (*.f64 x #s(literal 1/360 binary64)))) (/.f64 (*.f64 (*.f64 x #s(literal 1/360 binary64)) (*.f64 x #s(literal 1/360 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) (*.f64 x #s(literal 1/360 binary64))))) |
(fma.f64 x #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) (*.f64 x #s(literal 1/360 binary64))) |
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64))) |
(fma.f64 (*.f64 x #s(literal 1/20160 binary64)) (*.f64 x x) (*.f64 x #s(literal 1/360 binary64))) |
(fma.f64 #s(literal 1/360 binary64) x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/20160 binary64)) (*.f64 x #s(literal 1/360 binary64))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/20160 binary64) (*.f64 x #s(literal 1/360 binary64))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) x (*.f64 x #s(literal 1/360 binary64))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) (-.f64 (*.f64 (*.f64 x #s(literal 1/360 binary64)) (*.f64 x #s(literal 1/360 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) (*.f64 x #s(literal 1/360 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x #s(literal 1/360 binary64)) (*.f64 x #s(literal 1/360 binary64)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) (*.f64 x #s(literal 1/360 binary64)))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)) #s(literal 1/46656000 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal 1/129600 binary64)) (*.f64 (*.f64 x x) #s(literal 1/7257600 binary64)))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 (*.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 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)) #s(literal 1/46656000 binary64)) x) (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal 1/129600 binary64)) (*.f64 (*.f64 x x) #s(literal 1/7257600 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 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) (-.f64 (*.f64 (*.f64 x #s(literal 1/360 binary64)) (*.f64 x #s(literal 1/360 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) (*.f64 x #s(literal 1/360 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x #s(literal 1/360 binary64)) (*.f64 x #s(literal 1/360 binary64))))) (neg.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) (*.f64 x #s(literal 1/360 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)) #s(literal 1/46656000 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal 1/129600 binary64)) (*.f64 (*.f64 x x) #s(literal 1/7257600 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)) #s(literal 1/46656000 binary64)) x)) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal 1/129600 binary64)) (*.f64 (*.f64 x x) #s(literal 1/7257600 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x)) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) x) |
#s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) |
(*.f64 x #s(literal 1/12 binary64)) |
(*.f64 #s(literal 1/12 binary64) x) |
#s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/360 binary64))) |
(*.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) x) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64)) |
(*.f64 (*.f64 x #s(literal 1/360 binary64)) (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 x (*.f64 x #s(literal 1/20160 binary64))) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/20160 binary64)) x) |
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x #s(literal 1/20160 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/20160 binary64))) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/20160 binary64)) |
(*.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) x) |
Compiled 29 161 to 1 439 computations (95.1% saved)
17 alts after pruning (12 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 885 | 7 | 892 |
| Fresh | 2 | 5 | 7 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 889 | 17 | 906 |
| Status | Accuracy | Program |
|---|---|---|
| 51.1% | (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) | |
| 52.7% | (/.f64 (fma.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) | |
| 51.4% | (/.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) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) | |
| 51.2% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (exp.f64 x)))) (exp.f64 x)) | |
| 98.8% | #s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp 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)))) | |
| ✓ | 98.9% | #s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp 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))) |
| ▶ | 97.8% | #s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2)))) (*.f64 x (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) (*.f64 x (*.f64 x x)) x))) |
| ▶ | 98.9% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 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))) x) x x))) |
| ✓ | 98.9% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x (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))) |
| ▶ | 97.8% | #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 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x) x x))) |
| ✓ | 98.8% | #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))) |
| ✓ | 98.5% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x))) |
| 97.8% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 #s(approx (* (* x (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) x x))) | |
| ▶ | 98.5% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x))) |
| ✓ | 97.8% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
| 48.7% | #s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) | |
| ▶ | 49.0% | #s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))))) |
Compiled 509 to 256 computations (49.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) |
| ✓ | cost-diff | 0 | (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) (*.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 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) (*.f64 x (*.f64 x x)) x)) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2)))) (*.f64 x (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 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 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) 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 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) 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 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x) x x))) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))) |
| ✓ | cost-diff | 0 | #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))))) |
| ✓ | cost-diff | 0 | #s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x)) |
| ✓ | cost-diff | 0 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x))) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 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))) x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 (*.f64 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))) x) x x) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 (*.f64 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))) x) x x)) |
| ✓ | cost-diff | 0 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 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))) x) x x))) |
| 9 282× | lower-fma.f32 |
| 9 266× | lower-fma.f64 |
| 3 444× | lower-*.f32 |
| 3 404× | lower-*.f64 |
| 2 916× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 822 |
| 0 | 116 | 762 |
| 1 | 253 | 712 |
| 2 | 468 | 712 |
| 3 | 846 | 712 |
| 4 | 1491 | 712 |
| 5 | 2810 | 703 |
| 6 | 7514 | 703 |
| 0 | 8142 | 682 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 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))) x) x x))) |
(*.f64 x (fma.f64 (*.f64 (*.f64 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))) x) x x)) |
x |
(fma.f64 (*.f64 (*.f64 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))) x) x x) |
(*.f64 (*.f64 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))) x) |
(*.f64 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 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) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x))) |
(*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x)) |
x |
(+.f64 (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x) |
(*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) |
(*.f64 x x) |
#s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) |
(*.f64 x #s(literal 1/12 binary64)) |
#s(literal 1/12 binary64) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))))) |
#s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))))) |
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))) |
x |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))) |
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) |
(*.f64 x x) |
#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 (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x) x x))) |
(*.f64 x (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x) x x)) |
x |
(fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x) x x) |
(*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x) |
(*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
#s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
#s(literal 1/20160 binary64) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 x x) |
#s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2)))) (*.f64 x (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) (*.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 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) (*.f64 x (*.f64 x x)) x)) |
x |
(fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) (*.f64 x (*.f64 x x)) x) |
#s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 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) |
(*.f64 x (*.f64 x x)) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 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))) x) x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/406425600 binary64))) #s(literal -1/129600 binary64)) (/.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 (*.f64 (*.f64 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))) x) x x)) |
(*.f64 x (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/406425600 binary64))) #s(literal -1/129600 binary64)) (/.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 (*.f64 (*.f64 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))) x) x x) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/406425600 binary64))) #s(literal -1/129600 binary64)) (/.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 (*.f64 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))) x) |
(*.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/406425600 binary64))) #s(literal -1/129600 binary64)) (/.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 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 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/406425600 binary64))) #s(literal -1/129600 binary64)) (/.f64 (*.f64 x 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 (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 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/406425600 binary64))) #s(literal -1/129600 binary64)) (/.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 (*.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 (*.f64 x x) (*.f64 x (*.f64 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 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 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 (*.f64 x x) (*.f64 x (*.f64 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)) |
(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) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x))) |
(*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x)) |
x |
(+.f64 (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x) |
(fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x) |
(*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) |
(*.f64 x x) |
#s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) |
(*.f64 x #s(literal 1/12 binary64)) |
#s(literal 1/12 binary64) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))) |
#s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))))) |
#s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))) |
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))) |
x |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.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)) |
(*.f64 x x) |
#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 (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) 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 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) x))) |
(*.f64 x (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) 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 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) x)) |
x |
(fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) 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) |
(*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x) |
(*.f64 x (*.f64 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 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(*.f64 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(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x 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 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) |
#s(literal 1/20160 binary64) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x x) |
#s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2)))) (*.f64 x (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 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 x (*.f64 x 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))) |
(*.f64 x (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) (*.f64 x (*.f64 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 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))))) x)) |
x |
(fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) (*.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 (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))))) x) |
#s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) |
#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 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) |
(*.f64 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)) |
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) |
(*.f64 x x) |
#s(literal 1/20160 binary64) |
#s(literal 1/360 binary64) |
(*.f64 x (*.f64 x x)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) |
| ✓ | accuracy | 99.7% | (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) |
| ✓ | accuracy | 98.9% | #s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2)))) (*.f64 x (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) (*.f64 x (*.f64 x x)) x))) |
| ✓ | accuracy | 4.6% | #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (*.f64 x x)) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
| ✓ | accuracy | 98.9% | #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 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x) x x))) |
| ✓ | accuracy | 3.9% | #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 49.2% | #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))))) |
| ✓ | accuracy | 49.0% | #s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/12 binary64)) |
| ✓ | accuracy | 98.8% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x))) |
| ✓ | accuracy | 97.4% | #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) |
| ✓ | accuracy | 99.5% | (*.f64 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))) |
| ✓ | accuracy | 99.4% | (/.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 | 98.9% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 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))) x) x x))) |
| 254.0ms | 167× | 2 | valid |
| 97.0ms | 80× | 1 | valid |
| 4.0ms | 9× | 0 | valid |
Compiled 605 to 65 computations (89.3% saved)
ival-mult: 104.0ms (34.8% of total)ival-exp: 67.0ms (22.4% of total)adjust: 40.0ms (13.4% of total)const: 34.0ms (11.4% of total)ival-add: 34.0ms (11.4% of total)ival-div: 13.0ms (4.4% of total)ival-sub: 4.0ms (1.3% 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 #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 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))) x) x x)))> |
#<alt (*.f64 x (fma.f64 (*.f64 (*.f64 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))) x) x x))> |
#<alt (fma.f64 (*.f64 (*.f64 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))) x) x x)> |
#<alt (*.f64 (*.f64 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))) x)> |
#<alt (+.f64 (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x)> |
#<alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x)))> |
#<alt (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x))> |
#<alt (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))))> |
#<alt #s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))))))> |
#<alt #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))))> |
#<alt (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))))> |
#<alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))> |
#<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 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x) x x)))> |
#<alt (*.f64 x (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x) x x))> |
#<alt (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x) x x)> |
#<alt (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x)> |
#<alt #s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2)))) (*.f64 x (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) (*.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 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) (*.f64 x (*.f64 x x)) x))> |
#<alt (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) (*.f64 x (*.f64 x x)) x)> |
#<alt #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))))> |
#<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 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)))> |
#<alt (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x)> |
#<alt #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))> |
#<alt (*.f64 x #s(literal 1/12 binary64))> |
#<alt (*.f64 x (*.f64 x x))> |
#<alt #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))> |
#<alt (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))> |
#<alt (*.f64 (*.f64 x x) (*.f64 x x))> |
#<alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))> |
#<alt (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 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 (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 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 (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 (* 1/12 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* (pow x 3) (+ 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)))))> |
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (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)))))> |
#<alt (* (pow x 5) (+ 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 (* 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 (* 1/12 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* (pow x 4) (+ 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)))))> |
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (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)))))> |
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* (pow x 3) (+ 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)))))> |
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (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)))))> |
#<alt (* (pow x 5) (+ 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 (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) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))> |
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))> |
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))> |
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))> |
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))> |
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))> |
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))> |
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (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 (* 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 (* 1/360 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 (* 1/12 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 (* 1/12 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 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 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 1/12> |
#<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 (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 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 (* 1/360 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))> |
#<alt (* (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 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/20160 (* 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 (* 1/360 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))> |
93 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 115.0ms | x | @ | 0 | (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) |
| 27.0ms | x | @ | -inf | (+ (* (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (* x (* x x))) x) |
| 3.0ms | x | @ | inf | (* x (+ (* (* (* x (+ (* x (/ (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (+ (* x (* x 1/20160)) -1/360))) 1/12)) x) x) x)) |
| 3.0ms | x | @ | -inf | (* x (+ (* (* (* x (+ (* x (/ (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (+ (* x (* x 1/20160)) -1/360))) 1/12)) x) x) x)) |
| 1.0ms | x | @ | inf | (/ (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (+ (* x (* x 1/20160)) -1/360)) |
| 1× | egg-herbie |
| 11 108× | lower-fma.f64 |
| 11 108× | lower-fma.f32 |
| 4 160× | lower-*.f64 |
| 4 160× | lower-*.f32 |
| 1 690× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 135 | 3858 |
| 1 | 453 | 3758 |
| 2 | 1160 | 3707 |
| 3 | 3194 | 3702 |
| 4 | 6538 | 3702 |
| 0 | 8129 | 3469 |
| 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 (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)))))) |
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))) |
(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))))) |
(* 1/12 (pow x 3)) |
(* (pow x 3) (+ 1/12 (* 1/360 (pow x 2)))) |
(* (pow x 3) (+ 1/12 (* 1/360 (pow x 2)))) |
(* (pow x 3) (+ 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))))) |
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (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))))) |
(* (pow x 5) (+ 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 (* 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))))) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2)))) |
(* (pow x 4) (+ 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))))) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (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))))) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* 1/12 (pow x 3)) |
(* (pow x 3) (+ 1/12 (* 1/360 (pow x 2)))) |
(* (pow x 3) (+ 1/12 (* 1/360 (pow x 2)))) |
(* (pow x 3) (+ 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))))) |
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (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))))) |
(* (pow x 5) (+ 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 (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) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x)) |
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x)) |
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x)) |
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x)) |
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x)) |
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x)) |
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x)) |
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (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)))))))) |
(* 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)))))) |
(* 1/360 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))))) |
(* 1/12 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))) |
(* 1/12 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 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(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 |
(+ 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))) |
(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 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))))) |
(* 1/360 (pow x 2)) |
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))) |
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))) |
(* (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 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (* 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 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
| 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 x (*.f64 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 (*.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 (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)))))) |
(*.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)) |
(* (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)) |
(* 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 1/360 binary64) (*.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.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 1/20160 binary64) (/.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 x (*.f64 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 1/360 binary64) (*.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.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 1/20160 binary64) (/.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 x (*.f64 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 x (*.f64 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 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) |
(* 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 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.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 (+.f64 #s(literal 1/20160 binary64) (/.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 x (*.f64 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 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(*.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))) |
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(*.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))) |
(* 1/20160 (pow x 6)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.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))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.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))) |
(* 1/20160 (pow x 6)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.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))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.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 (+ 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 x (*.f64 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)))))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x) |
(* 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))))) |
(*.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* 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))))) |
(*.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1/360 binary64) (/.f64 (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1/360 binary64) (/.f64 (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x 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 x (*.f64 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 (*.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 (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) |
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(- (+ (exp x) (exp (* -1 x))) 2) |
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(- (+ (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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(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
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(* 1/360 (pow x 6)) |
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(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
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(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
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(* 1/360 (pow x 6)) |
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(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
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(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
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(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
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(* 1/12 (pow x 3)) |
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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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(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 (neg 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) |
(+.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)))) |
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(* (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))))) |
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(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
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(* 1/360 (pow x 6)) |
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(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
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(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
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(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
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(* 1/12 (pow x 4)) |
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(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2)))) |
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(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2)))) |
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(* 1/360 (pow x 6)) |
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(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
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(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
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(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
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(* 1/360 (pow x 6)) |
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(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
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(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
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(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
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(* 1/12 (pow x 3)) |
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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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(* (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))))) |
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(* (pow x 5) (+ 1/360 (* 1/12 (/ 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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(* (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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(- (+ (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) |
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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) |
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(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
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(* 1/20160 (pow x 8)) |
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(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
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(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
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(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
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(* 1/20160 (pow x 8)) |
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(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
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(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
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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))))) |
(*.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 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.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)))))) |
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(* 1/20160 (pow x 7)) |
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(* -1 (* (pow x 5) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 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 x (*.f64 x (*.f64 x (*.f64 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 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/406425600 binary64) (/.f64 #s(literal -1/129600 binary64) (*.f64 x (*.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 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(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 |
#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 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
(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)) |
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
(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)) |
(* 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) |
(* 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 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(*.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))) |
(* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(*.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))) |
(* 1/20160 (pow x 5)) |
(*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.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)))) |
(* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.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)))) |
(* 1/20160 (pow x 5)) |
(*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.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 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.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)))) |
(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 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 #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 (*.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 #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 (*.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))) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) |
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) |
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 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 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 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 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) |
| 1× | batch-egg-rewrite |
| 5 210× | lower-*.f32 |
| 5 170× | lower-*.f64 |
| 4 606× | lower-fma.f32 |
| 4 590× | lower-fma.f64 |
| 2 964× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 717 |
| 0 | 116 | 674 |
| 1 | 467 | 573 |
| 2 | 3204 | 554 |
| 0 | 8144 | 543 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 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))) x) x x))) |
(*.f64 x (fma.f64 (*.f64 (*.f64 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))) x) x x)) |
(fma.f64 (*.f64 (*.f64 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))) x) x x) |
(*.f64 (*.f64 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))) x) |
(+.f64 (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x))) |
(*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x)) |
(*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))))) |
#s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))))) |
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))) |
(*.f64 (fma.f64 (*.f64 x x) #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 (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x) x x))) |
(*.f64 x (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x) x x)) |
(fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x) x x) |
(*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x) |
#s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2)))) (*.f64 x (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) (*.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 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) (*.f64 x (*.f64 x x)) x) |
#s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 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 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 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) |
#s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) |
(*.f64 x #s(literal 1/12 binary64)) |
(*.f64 x (*.f64 x x)) |
#s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.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))) |
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(+.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/20160 binary64))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/20160 binary64)) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) |
(fma.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/20160 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/20160 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/20160 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) |
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) |
(fma.f64 (*.f64 x #s(literal 1/20160 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) |
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/20160 binary64))) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/20160 binary64)) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))) x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) |
(fma.f64 (*.f64 x #s(literal 1/360 binary64)) x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/20160 binary64))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 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 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64)))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/406425600 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/20160 binary64)) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/406425600 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/20160 binary64)) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)) #s(literal 1/46656000 binary64))) (-.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal 1/129600 binary64)) (*.f64 (*.f64 x x) #s(literal 1/7257600 binary64)))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))))) |
(/.f64 (*.f64 x (*.f64 (neg.f64 x) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64)))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)) #s(literal 1/46656000 binary64)) (*.f64 x x)) (-.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal 1/129600 binary64)) (*.f64 (*.f64 x x) #s(literal 1/7257600 binary64)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64)) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))))) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) x) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))) |
(pow.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64)))) #s(literal -1 binary64)) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) |
(*.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))) |
(*.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) x)) |
(*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) x) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) (*.f64 x x)) |
(*.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64)) (*.f64 (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) x)) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))) |
(*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)) #s(literal -1/46656000 binary64))) (-.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal 1/129600 binary64)) (*.f64 (*.f64 x x) #s(literal -1/7257600 binary64)))) |
(*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 (*.f64 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))) |
Compiled 22 939 to 1 655 computations (92.8% saved)
19 alts after pruning (11 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 794 | 5 | 799 |
| Fresh | 1 | 6 | 7 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 797 | 19 | 816 |
| Status | Accuracy | Program |
|---|---|---|
| 51.1% | (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) | |
| 52.7% | (/.f64 (fma.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) | |
| 51.4% | (/.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) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) | |
| 51.2% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (exp.f64 x)))) (exp.f64 x)) | |
| 98.8% | #s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp 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)))) | |
| ✓ | 98.9% | #s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp 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))) |
| 97.8% | #s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2)))) (*.f64 x (fma.f64 (*.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))))) (*.f64 x x) x))) | |
| ✓ | 98.9% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 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))) x) x x))) |
| 98.5% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x (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))) x) x x))) | |
| 98.8% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.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 x))) | |
| ✓ | 98.9% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x (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))) |
| ✓ | 97.8% | #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 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x) x x))) |
| ✓ | 98.8% | #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))) |
| ✓ | 98.5% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x))) |
| ✓ | 98.5% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x))) |
| ✓ | 97.8% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
| 49.0% | #s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 x x)))) | |
| 48.7% | #s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) | |
| 49.0% | #s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x #s(approx (* (+ (* (* x x) 1/360) 1/12) (* x (* x x))) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))))) |
Compiled 889 to 316 computations (64.5% saved)
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x #s(approx (* (+ (* (* x x) 1/360) 1/12) (* x (* x x))) (*.f64 #s(literal 1/12 binary64) (*.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))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x 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))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #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 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 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 (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp 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)))) |
#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 (*.f64 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 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x) x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 #s(approx (* (* x (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x (*.f64 x (*.f64 x 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 (*.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 (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2)))) (*.f64 x (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) (*.f64 x (*.f64 x x)) x))) |
#s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2)))) (*.f64 x (fma.f64 (*.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))))) (*.f64 x x) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x (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 (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp 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))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.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 x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x (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))) x) x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 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))) 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 (fma.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (exp.f64 x)))) (exp.f64 x)) |
(+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) (exp.f64 (neg.f64 x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (exp.f64 (neg.f64 x))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x)) (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))) |
(/.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) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x (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 | x |
| 7.0ms | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 1 | x |
| 98.9% | 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))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x #s(approx (* (+ (* (* x x) 1/360) 1/12) (* x (* x x))) (*.f64 #s(literal 1/12 binary64) (*.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))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x 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))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #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 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 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 (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp 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)))) |
#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 (*.f64 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 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x) x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 #s(approx (* (* x (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x (*.f64 x (*.f64 x 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 (*.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 (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2)))) (*.f64 x (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) (*.f64 x (*.f64 x x)) x))) |
#s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2)))) (*.f64 x (fma.f64 (*.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))))) (*.f64 x x) 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:
| 5.0ms | x |
| 4.0ms | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 1 | x |
| 98.8% | 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))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x #s(approx (* (+ (* (* x x) 1/360) 1/12) (* x (* x x))) (*.f64 #s(literal 1/12 binary64) (*.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))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x 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))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #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 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 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:
| 3.0ms | x |
| 3.0ms | (+.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)
Total -31.2b remaining (-2186.7%)
Threshold costs -31.2b (-2186.7%)
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x #s(approx (* (+ (* (* x x) 1/360) 1/12) (* x (* x x))) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))))) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
2 calls:
| 3.0ms | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 1 | x |
| 97.8% | 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 |
| 18× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 84 |
| 1 | 39 | 84 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x (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 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))) (*.f64 x (fma.f64 (*.f64 (*.f64 x (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 (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))) (*.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 (fma.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
| 17 068× | lower-fma.f64 |
| 17 068× | lower-fma.f32 |
| 6 442× | lower-*.f32 |
| 6 428× | lower-*.f64 |
| 4 198× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 255 |
| 0 | 72 | 229 |
| 1 | 317 | 215 |
| 2 | 2577 | 205 |
| 0 | 9702 | 202 |
| 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× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 107 to 48 computations (55.1% saved)
(abs x)
Compiled 280 to 140 computations (50% saved)
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