
Time bar (total: 9.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 50% | 50% | 0% | 0% | 0% | 0 |
| 100% | 50% | 0% | 50% | 0% | 0% | 0% | 1 |
Compiled 17 to 11 computations (35.3% saved)
ival-sub: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-and: 0.0ms (0% of total)const: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)ival-<=: 0.0ms (0% of total)| 1.7s | 8068× | 1 | valid |
| 12.0ms | 188× | 0 | valid |
ival-sub: 498.0ms (36.7% of total)ival-sqrt: 368.0ms (27.2% of total)ival-add: 160.0ms (11.8% of total)backward-pass: 147.0ms (10.8% of total)ival-<=: 144.0ms (10.6% of total)ival-and: 21.0ms (1.5% of total)const: 17.0ms (1.3% of total)| 2× | egg-herbie |
| 200× | fnmadd-define |
| 172× | fmsub-define |
| 168× | fnmsub-define |
| 166× | sum3-define |
| 156× | sum3-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 28 |
| 1 | 31 | 27 |
| 2 | 62 | 27 |
| 3 | 132 | 27 |
| 4 | 264 | 27 |
| 5 | 480 | 27 |
| 6 | 677 | 27 |
| 7 | 781 | 27 |
| 8 | 787 | 27 |
| 0 | 7 | 9 |
| 1 | 14 | 9 |
| 2 | 21 | 9 |
| 3 | 34 | 9 |
| 4 | 52 | 9 |
| 5 | 97 | 9 |
| 6 | 170 | 9 |
| 7 | 271 | 9 |
| 8 | 372 | 9 |
| 9 | 480 | 9 |
| 10 | 558 | 9 |
| 11 | 564 | 9 |
| 0 | 564 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(- (sqrt (+ 1 x)) (sqrt (- 1 x))) |
| Outputs |
|---|
(- (sqrt (+ 1 x)) (sqrt (- 1 x))) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| Inputs |
|---|
(- (sqrt (+ 1 x)) (sqrt (- 1 x))) |
(- (sqrt (+ 1 (neg x))) (sqrt (- 1 (neg x)))) |
(neg (- (sqrt (+ 1 (neg x))) (sqrt (- 1 (neg x))))) |
| Outputs |
|---|
(- (sqrt (+ 1 x)) (sqrt (- 1 x))) |
(- (sqrt (+ 1 (neg x))) (sqrt (- 1 (neg x)))) |
(- (sqrt (- 1 x)) (sqrt (+ 1 x))) |
(neg (- (sqrt (+ 1 (neg x))) (sqrt (- 1 (neg x))))) |
(- (sqrt (+ 1 x)) (sqrt (- 1 x))) |
(negabs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 255 | 0 | - | 0 | - | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) x) |
| 105.0ms | 504× | 1 | valid |
| 1.0ms | 8× | 0 | valid |
Compiled 64 to 23 computations (64.1% saved)
ival-sqrt: 20.0ms (38.9% of total)ival-sub: 14.0ms (27.2% of total)backward-pass: 9.0ms (17.5% of total)ival-add: 7.0ms (13.6% of total)const: 1.0ms (1.9% of total)Compiled 10 to 7 computations (30% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 7.7% | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
Compiled 10 to 7 computations (30% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| 166× | sum3-define |
| 124× | fnmadd-define |
| 92× | fma-lowering-fma.f32 |
| 92× | fmsub-define |
| 92× | fma-lowering-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 25 |
| 1 | 14 | 25 |
| 2 | 21 | 25 |
| 3 | 34 | 25 |
| 4 | 52 | 25 |
| 5 | 97 | 25 |
| 6 | 170 | 25 |
| 7 | 271 | 25 |
| 8 | 372 | 25 |
| 9 | 480 | 25 |
| 10 | 558 | 25 |
| 11 | 564 | 25 |
| 0 | 564 | 25 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- (sqrt (+ 1 x)) (sqrt (- 1 x))) |
(sqrt (+ 1 x)) |
(+ 1 x) |
1 |
x |
(sqrt (- 1 x)) |
(- 1 x) |
| Outputs |
|---|
(- (sqrt (+ 1 x)) (sqrt (- 1 x))) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(sqrt (+ 1 x)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(sqrt (- 1 x)) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 7.7% | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| 65.0ms | 252× | 1 | valid |
| 0.0ms | 4× | 0 | valid |
Compiled 27 to 8 computations (70.4% saved)
ival-add: 27.0ms (57.6% of total)ival-sqrt: 8.0ms (17.1% of total)ival-sub: 6.0ms (12.8% of total)backward-pass: 4.0ms (8.5% of total)const: 1.0ms (2.1% of total)| Inputs |
|---|
#<alt (- (sqrt (+ 1 x)) (sqrt (- 1 x)))> |
#<alt (sqrt (+ 1 x))> |
#<alt (+ 1 x)> |
#<alt (sqrt (- 1 x))> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* 1/8 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))> |
#<alt (* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))> |
#<alt (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))> |
#<alt (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))> |
#<alt (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))> |
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))))> |
#<alt (* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))> |
#<alt (* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))> |
#<alt (* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (+ 1 (* x (+ 1/2 (* -1/8 x))))> |
#<alt (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))> |
#<alt (sqrt x)> |
#<alt (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 x))> |
#<alt (+ 1 (* x (- (* -1/8 x) 1/2)))> |
#<alt (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))> |
#<alt (* (sqrt x) (sqrt -1))> |
#<alt (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))> |
#<alt (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))> |
#<alt (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))> |
#<alt (* -1 (* (sqrt x) (sqrt -1)))> |
#<alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))> |
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))> |
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (- (sqrt (+ 1 x)) (sqrt (- 1 x))) |
| 1.0ms | x | @ | -inf | (- (sqrt (+ 1 x)) (sqrt (- 1 x))) |
| 0.0ms | x | @ | -inf | (sqrt (+ 1 x)) |
| 0.0ms | x | @ | 0 | (- (sqrt (+ 1 x)) (sqrt (- 1 x))) |
| 0.0ms | x | @ | inf | (sqrt (- 1 x)) |
| 1× | batch-egg-rewrite |
| 3064× | *-lowering-*.f32 |
| 3064× | *-lowering-*.f64 |
| 2554× | /-lowering-/.f32 |
| 2554× | /-lowering-/.f64 |
| 1828× | sum3-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 1 | 46 | 20 |
| 2 | 389 | 20 |
| 3 | 6209 | 20 |
| 0 | 8435 | 20 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (sqrt (+ 1 x)) (sqrt (- 1 x))) |
(sqrt (+ 1 x)) |
(+ 1 x) |
(sqrt (- 1 x)) |
| Outputs |
|---|
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))))))) |
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))) |
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x)))))) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))) |
(-.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))))))) |
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (+.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x)))))) |
(neg.f64 (/.f64 (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (+.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x (-.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))) |
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (sqrt.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) |
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) |
(*.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) |
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) |
| 1× | egg-herbie |
| 4834× | *-lowering-*.f32 |
| 4834× | *-lowering-*.f64 |
| 4254× | +-lowering-+.f64 |
| 4254× | +-lowering-+.f32 |
| 1772× | --lowering--.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 161 | 826 |
| 1 | 528 | 727 |
| 2 | 2050 | 693 |
| 0 | 8755 | 693 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))) |
(* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
1 |
(+ 1 (* -1/2 x)) |
(+ 1 (* x (- (* -1/8 x) 1/2))) |
(+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2))) |
(* (sqrt x) (sqrt -1)) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* -1 (* (sqrt x) (sqrt -1))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))))))) |
(* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(*.f64 x (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))) |
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))))))) |
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (-.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))))))))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(*.f64 (-.f64 (+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
(*.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))))))) (-.f64 #s(literal 0 binary64) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64))))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))) |
(sqrt x) |
(sqrt.f64 x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) |
(+ 1 (* x (- (* -1/8 x) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))) |
(+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal -1/16 binary64))))))) |
(* (sqrt x) (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 #s(literal -1 binary64)))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(*.f64 x (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))))))) |
(* -1 (* (sqrt x) (sqrt -1))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))))))) (-.f64 #s(literal 0 binary64) x)) |
Compiled 7942 to 1076 computations (86.5% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 285 | 7 | 292 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 285 | 8 | 293 |
| Status | Accuracy | Program |
|---|---|---|
| 7.8% | (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))))))) (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))))))) | |
| ▶ | 7.8% | (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x (-.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
| ✓ | 7.7% | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| 7.8% | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 x (-.f64 #s(literal 1 binary64) x)))) | |
| ▶ | 99.9% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64)))))) |
| ▶ | 99.9% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))))))) |
| ▶ | 99.8% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
| ▶ | 99.5% | x |
Compiled 470 to 155 computations (67% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (-.f64 x (-.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 256 | (+.f64 #s(literal 1 binary64) (-.f64 x (-.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 256 | (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x (-.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))))))) |
| 2812× | *-lowering-*.f32 |
| 2812× | *-lowering-*.f64 |
| 1866× | +-lowering-+.f64 |
| 1866× | +-lowering-+.f32 |
| 1746× | --lowering--.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 221 |
| 1 | 102 | 198 |
| 2 | 321 | 188 |
| 3 | 954 | 188 |
| 4 | 3542 | 188 |
| 0 | 8272 | 188 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ 1 (* (* x x) (+ 1/8 (* x (* x (+ 7/128 (* (* x x) 33/1024)))))))) |
x |
(+ 1 (* (* x x) (+ 1/8 (* x (* x (+ 7/128 (* (* x x) 33/1024))))))) |
1 |
(* (* x x) (+ 1/8 (* x (* x (+ 7/128 (* (* x x) 33/1024)))))) |
(* x x) |
(+ 1/8 (* x (* x (+ 7/128 (* (* x x) 33/1024))))) |
1/8 |
(* x (* x (+ 7/128 (* (* x x) 33/1024)))) |
(* x (+ 7/128 (* (* x x) 33/1024))) |
(+ 7/128 (* (* x x) 33/1024)) |
7/128 |
(* (* x x) 33/1024) |
33/1024 |
x |
(* x (+ 1 (* 1/8 (* x x)))) |
x |
(+ 1 (* 1/8 (* x x))) |
1 |
(* 1/8 (* x x)) |
1/8 |
(* x x) |
(* x (+ 1 (* (* x x) (+ 1/8 (* (* x x) 7/128))))) |
x |
(+ 1 (* (* x x) (+ 1/8 (* (* x x) 7/128)))) |
1 |
(* (* x x) (+ 1/8 (* (* x x) 7/128))) |
(* x x) |
(+ 1/8 (* (* x x) 7/128)) |
1/8 |
(* (* x x) 7/128) |
7/128 |
(/ (+ 1 (- x (- 1 x))) (+ (pow (+ 1 x) 1/2) (pow (- 1 x) 1/2))) |
(+ 1 (- x (- 1 x))) |
1 |
(- x (- 1 x)) |
x |
(- 1 x) |
(+ (pow (+ 1 x) 1/2) (pow (- 1 x) 1/2)) |
(pow (+ 1 x) 1/2) |
(+ 1 x) |
1/2 |
(pow (- 1 x) 1/2) |
| Outputs |
|---|
(* x (+ 1 (* (* x x) (+ 1/8 (* x (* x (+ 7/128 (* (* x x) 33/1024)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7/128 binary64) (*.f64 x (*.f64 x #s(literal 33/1024 binary64))))))))))) |
x |
(+ 1 (* (* x x) (+ 1/8 (* x (* x (+ 7/128 (* (* x x) 33/1024))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7/128 binary64) (*.f64 x (*.f64 x #s(literal 33/1024 binary64)))))))))) |
1 |
#s(literal 1 binary64) |
(* (* x x) (+ 1/8 (* x (* x (+ 7/128 (* (* x x) 33/1024)))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7/128 binary64) (*.f64 x (*.f64 x #s(literal 33/1024 binary64))))))))) |
(* x x) |
(*.f64 x x) |
(+ 1/8 (* x (* x (+ 7/128 (* (* x x) 33/1024))))) |
(+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7/128 binary64) (*.f64 x (*.f64 x #s(literal 33/1024 binary64))))))) |
1/8 |
#s(literal 1/8 binary64) |
(* x (* x (+ 7/128 (* (* x x) 33/1024)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 7/128 binary64) (*.f64 x (*.f64 x #s(literal 33/1024 binary64)))))) |
(* x (+ 7/128 (* (* x x) 33/1024))) |
(*.f64 x (+.f64 #s(literal 7/128 binary64) (*.f64 x (*.f64 x #s(literal 33/1024 binary64))))) |
(+ 7/128 (* (* x x) 33/1024)) |
(+.f64 #s(literal 7/128 binary64) (*.f64 x (*.f64 x #s(literal 33/1024 binary64)))) |
7/128 |
#s(literal 7/128 binary64) |
(* (* x x) 33/1024) |
(*.f64 x (*.f64 x #s(literal 33/1024 binary64))) |
33/1024 |
#s(literal 33/1024 binary64) |
x |
(* x (+ 1 (* 1/8 (* x x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64))))) |
x |
(+ 1 (* 1/8 (* x x))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) |
1 |
#s(literal 1 binary64) |
(* 1/8 (* x x)) |
(*.f64 x (*.f64 x #s(literal 1/8 binary64))) |
1/8 |
#s(literal 1/8 binary64) |
(* x x) |
(*.f64 x x) |
(* x (+ 1 (* (* x x) (+ 1/8 (* (* x x) 7/128))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))))))) |
x |
(+ 1 (* (* x x) (+ 1/8 (* (* x x) 7/128)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64)))))) |
1 |
#s(literal 1 binary64) |
(* (* x x) (+ 1/8 (* (* x x) 7/128))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))))) |
(* x x) |
(*.f64 x x) |
(+ 1/8 (* (* x x) 7/128)) |
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))) |
1/8 |
#s(literal 1/8 binary64) |
(* (* x x) 7/128) |
(*.f64 (*.f64 x x) #s(literal 7/128 binary64)) |
7/128 |
#s(literal 7/128 binary64) |
(/ (+ 1 (- x (- 1 x))) (+ (pow (+ 1 x) 1/2) (pow (- 1 x) 1/2))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(+ 1 (- x (- 1 x))) |
(*.f64 x #s(literal 2 binary64)) |
1 |
#s(literal 1 binary64) |
(- x (- 1 x)) |
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2 binary64))) |
x |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(+ (pow (+ 1 x) 1/2) (pow (- 1 x) 1/2)) |
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
(pow (+ 1 x) 1/2) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(pow (- 1 x) 1/2) |
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (-.f64 x (-.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 7.9% | (+.f64 #s(literal 1 binary64) (-.f64 x (-.f64 #s(literal 1 binary64) x))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64)))))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal 7/128 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))))) |
| ✓ | accuracy | 99.9% | (*.f64 x (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) |
| 330.0ms | 235× | 1 | valid |
| 33.0ms | 9× | 3 | valid |
| 11.0ms | 6× | 2 | valid |
| 2.0ms | 6× | 0 | valid |
Compiled 259 to 32 computations (87.6% saved)
ival-pow: 197.0ms (64.5% of total)ival-mult: 41.0ms (13.4% of total)backward-pass: 31.0ms (10.2% of total)ival-add: 25.0ms (8.2% of total)ival-sub: 5.0ms (1.6% of total)ival-div: 4.0ms (1.3% of total)const: 2.0ms (0.7% of total)| Inputs |
|---|
#<alt (* x (+ 1 (* (* x x) (+ 1/8 (* x (* x (+ 7/128 (* (* x x) 33/1024))))))))> |
#<alt (+ 1 (* (* x x) (+ 1/8 (* x (* x (+ 7/128 (* (* x x) 33/1024)))))))> |
#<alt (* (* x x) (+ 1/8 (* x (* x (+ 7/128 (* (* x x) 33/1024))))))> |
#<alt (* x x)> |
#<alt (* x (+ 1 (* 1/8 (* x x))))> |
#<alt (+ 1 (* 1/8 (* x x)))> |
#<alt (* 1/8 (* x x))> |
#<alt (* x (+ 1 (* (* x x) (+ 1/8 (* (* x x) 7/128)))))> |
#<alt (+ 1 (* (* x x) (+ 1/8 (* (* x x) 7/128))))> |
#<alt (* (* x x) (+ 1/8 (* (* x x) 7/128)))> |
#<alt (/ (+ 1 (- x (- 1 x))) (+ (pow (+ 1 x) 1/2) (pow (- 1 x) 1/2)))> |
#<alt (+ 1 (- x (- 1 x)))> |
#<alt (- x (- 1 x))> |
#<alt (- 1 x)> |
#<alt (* (* x x) 33/1024)> |
#<alt (* x (* x (+ 7/128 (* (* x x) 33/1024))))> |
#<alt (* x (+ 7/128 (* (* x x) 33/1024)))> |
#<alt (* (* x x) 7/128)> |
#<alt (+ (pow (+ 1 x) 1/2) (pow (- 1 x) 1/2))> |
#<alt (pow (+ 1 x) 1/2)> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* 1/8 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))> |
#<alt (* 33/1024 (pow x 7))> |
#<alt (* (pow x 7) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 33/1024 (pow x 7))> |
#<alt (* (pow x 7) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 7/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 33/1024)))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 4))) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/8 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))> |
#<alt (* 33/1024 (pow x 6))> |
#<alt (* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 33/1024 (pow x 6))> |
#<alt (* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))> |
#<alt (* 33/1024 (pow x 6))> |
#<alt (* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))> |
#<alt (* 33/1024 (pow x 6))> |
#<alt (* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt x> |
#<alt (* x (+ 1 (* 1/8 (pow x 2))))> |
#<alt (* x (+ 1 (* 1/8 (pow x 2))))> |
#<alt (* x (+ 1 (* 1/8 (pow x 2))))> |
#<alt (* 1/8 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/8 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/8 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/8 (/ 1 (pow x 2))))> |
#<alt (* 1/8 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/8 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/8 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/8 (/ 1 (pow x 2))))> |
#<alt 1> |
#<alt (+ 1 (* 1/8 (pow x 2)))> |
#<alt (+ 1 (* 1/8 (pow x 2)))> |
#<alt (+ 1 (* 1/8 (pow x 2)))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/8 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/8 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/8 (/ 1 (pow x 2))))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/8 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/8 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/8 (/ 1 (pow x 2))))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* 1/8 (pow x 2))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/8 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))> |
#<alt (* 7/128 (pow x 5))> |
#<alt (* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 5) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 7/128 (pow x 5))> |
#<alt (* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 2))) 7/128)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 2))) 7/128)))> |
#<alt 1> |
#<alt (+ 1 (* 1/8 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))> |
#<alt (* 7/128 (pow x 4))> |
#<alt (* (pow x 4) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 7/128 (pow x 4))> |
#<alt (* (pow x 4) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))> |
#<alt (* 7/128 (pow x 4))> |
#<alt (* (pow x 4) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))> |
#<alt (* 7/128 (pow x 4))> |
#<alt (* (pow x 4) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/8 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))> |
#<alt (/ 2 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))> |
#<alt (+ (* -2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))> |
#<alt (- (+ (* -1 (/ (+ (* -2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3))) (* 2 (/ (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (pow x 4))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) (* 2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))))> |
#<alt (- (+ (* -1 (/ (+ (* -2 (/ (* (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3))) (* 2 (/ (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))) (* 2 (/ (+ (* 1/16 (sqrt (pow x 5))) (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 5))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (pow x 6))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) (+ (* -2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) 2) (* (pow x 4) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3)))) (+ (* 2 (/ (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (* (pow x 4) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (* 2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))))))> |
#<alt (/ -2 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))> |
#<alt (- (* 2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) (* (pow x 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 2 (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (- (* -1 (/ (+ (* -2 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (* 2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (pow x 4))) (+ (* -2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) (* (pow x 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 2 (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))> |
#<alt (- (* -1 (/ (+ (* -2 (/ (+ (* 1/16 (* (sqrt (pow x 5)) (sqrt -1))) (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 4))))) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (+ (* -1 (/ (* (+ (* -2 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (* 2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1))))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 2 (/ (* (+ (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1))))) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (pow x 6))) (+ (* -2 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (* (pow x 4) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (+ (* -2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) (* (pow x 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (+ (* 2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) 2) (* (pow x 4) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (* 2 (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt -1> |
#<alt (- (* 2 x) 1)> |
#<alt (- (* 2 x) 1)> |
#<alt (- (* 2 x) 1)> |
#<alt (* 2 x)> |
#<alt (* x (- 2 (/ 1 x)))> |
#<alt (* x (- 2 (/ 1 x)))> |
#<alt (* x (- 2 (/ 1 x)))> |
#<alt (* 2 x)> |
#<alt (* -1 (* x (- (/ 1 x) 2)))> |
#<alt (* -1 (* x (- (/ 1 x) 2)))> |
#<alt (* -1 (* x (- (/ 1 x) 2)))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* 33/1024 (pow x 2))> |
#<alt (* 33/1024 (pow x 2))> |
#<alt (* 33/1024 (pow x 2))> |
#<alt (* 33/1024 (pow x 2))> |
#<alt (* 33/1024 (pow x 2))> |
#<alt (* 33/1024 (pow x 2))> |
#<alt (* 33/1024 (pow x 2))> |
#<alt (* 33/1024 (pow x 2))> |
#<alt (* 33/1024 (pow x 2))> |
#<alt (* 33/1024 (pow x 2))> |
#<alt (* 33/1024 (pow x 2))> |
#<alt (* 33/1024 (pow x 2))> |
#<alt (* 7/128 (pow x 2))> |
#<alt (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))> |
#<alt (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))> |
#<alt (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))> |
#<alt (* 33/1024 (pow x 4))> |
#<alt (* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))> |
#<alt (* 33/1024 (pow x 4))> |
#<alt (* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))> |
#<alt (* 7/128 x)> |
#<alt (* x (+ 7/128 (* 33/1024 (pow x 2))))> |
#<alt (* x (+ 7/128 (* 33/1024 (pow x 2))))> |
#<alt (* x (+ 7/128 (* 33/1024 (pow x 2))))> |
#<alt (* 33/1024 (pow x 3))> |
#<alt (* (pow x 3) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))> |
#<alt (* 33/1024 (pow x 3))> |
#<alt (* (pow x 3) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))> |
#<alt (* 7/128 (pow x 2))> |
#<alt (* 7/128 (pow x 2))> |
#<alt (* 7/128 (pow x 2))> |
#<alt (* 7/128 (pow x 2))> |
#<alt (* 7/128 (pow x 2))> |
#<alt (* 7/128 (pow x 2))> |
#<alt (* 7/128 (pow x 2))> |
#<alt (* 7/128 (pow x 2))> |
#<alt (* 7/128 (pow x 2))> |
#<alt (* 7/128 (pow x 2))> |
#<alt (* 7/128 (pow x 2))> |
#<alt (* 7/128 (pow x 2))> |
#<alt 2> |
#<alt (+ 2 (* -1/4 (pow x 2)))> |
#<alt (+ 2 (* (pow x 2) (- (* -5/64 (pow x 2)) 1/4)))> |
#<alt (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -21/512 (pow x 2)) 5/64)) 1/4)))> |
#<alt (* x (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))))> |
#<alt (* -1 (* x (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))> |
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))> |
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (+ 1 (* x (+ 1/2 (* -1/8 x))))> |
#<alt (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))> |
#<alt (sqrt x)> |
#<alt (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | (+ 1 (- x (- 1 x))) |
| 3.0ms | x | @ | inf | (/ (+ 1 (- x (- 1 x))) (+ (pow (+ 1 x) 1/2) (pow (- 1 x) 1/2))) |
| 2.0ms | x | @ | -inf | (/ (+ 1 (- x (- 1 x))) (+ (pow (+ 1 x) 1/2) (pow (- 1 x) 1/2))) |
| 1.0ms | x | @ | -inf | (* x (+ 1 (* (* x x) (+ 1/8 (* (* x x) 7/128))))) |
| 1.0ms | x | @ | 0 | (* x (+ 1 (* (* x x) (+ 1/8 (* x (* x (+ 7/128 (* (* x x) 33/1024)))))))) |
| 1× | batch-egg-rewrite |
| 3204× | fma-lowering-fma.f32 |
| 3204× | fma-lowering-fma.f64 |
| 2472× | *-lowering-*.f32 |
| 2472× | *-lowering-*.f64 |
| 1896× | prod-diff |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 171 |
| 1 | 238 | 145 |
| 2 | 2376 | 140 |
| 0 | 8486 | 140 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ 1 (* (* x x) (+ 1/8 (* x (* x (+ 7/128 (* (* x x) 33/1024)))))))) |
(+ 1 (* (* x x) (+ 1/8 (* x (* x (+ 7/128 (* (* x x) 33/1024))))))) |
(* (* x x) (+ 1/8 (* x (* x (+ 7/128 (* (* x x) 33/1024)))))) |
(* x x) |
(* x (+ 1 (* 1/8 (* x x)))) |
(+ 1 (* 1/8 (* x x))) |
(* 1/8 (* x x)) |
(* x (+ 1 (* (* x x) (+ 1/8 (* (* x x) 7/128))))) |
(+ 1 (* (* x x) (+ 1/8 (* (* x x) 7/128)))) |
(* (* x x) (+ 1/8 (* (* x x) 7/128))) |
(/ (+ 1 (- x (- 1 x))) (+ (pow (+ 1 x) 1/2) (pow (- 1 x) 1/2))) |
(+ 1 (- x (- 1 x))) |
(- x (- 1 x)) |
(- 1 x) |
(* (* x x) 33/1024) |
(* x (* x (+ 7/128 (* (* x x) 33/1024)))) |
(* x (+ 7/128 (* (* x x) 33/1024))) |
(* (* x x) 7/128) |
(+ (pow (+ 1 x) 1/2) (pow (- 1 x) 1/2)) |
(pow (+ 1 x) 1/2) |
| Outputs |
|---|
(+.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))))) |
(+.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))))) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))))) |
(fma.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))))) |
(fma.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))) x) |
(fma.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))) x x) |
(fma.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))) x) |
(fma.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))) (*.f64 x x) x) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))))) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))))))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))))))) (-.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))))))) |
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))) #s(literal 1 binary64))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))))))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))))) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))))) x) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))))) |
(+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))) #s(literal 1 binary64)) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))) #s(literal 1 binary64))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))))))) |
(fma.f64 x (*.f64 x #s(literal 1/8 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))) #s(literal 1 binary64))) |
(fma.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))) #s(literal 1 binary64))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))) |
(fma.f64 (*.f64 x #s(literal 1/8 binary64)) x (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/8 binary64))) x (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))) (*.f64 x x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (-.f64 x (-.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))) |
(/.f64 (-.f64 x (-.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 x (-.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (neg.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (-.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (neg.f64 (-.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(pow.f64 (/.f64 (-.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (-.f64 x (-.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(*.f64 (-.f64 x (-.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))) |
(*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 x))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (*.f64 (log1p.f64 x) #s(literal 1/4 binary64)) (*.f64 (log1p.f64 x) #s(literal 1/4 binary64)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log1p.f64 x)) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| 1× | egg-herbie |
| 5894× | *-lowering-*.f32 |
| 5894× | *-lowering-*.f64 |
| 2858× | +-lowering-+.f64 |
| 2858× | +-lowering-+.f32 |
| 2160× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 339 | 3050 |
| 1 | 1138 | 2475 |
| 2 | 4527 | 2386 |
| 0 | 8130 | 2386 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))) |
(* 33/1024 (pow x 7)) |
(* (pow x 7) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 33/1024 (pow x 7)) |
(* (pow x 7) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 7/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 33/1024))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 4))) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))))) |
1 |
(+ 1 (* 1/8 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))) |
(* 33/1024 (pow x 6)) |
(* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 33/1024 (pow x 6)) |
(* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/8 (pow x 2)) |
(* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))) |
(* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))) |
(* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))) |
(* 33/1024 (pow x 6)) |
(* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))) |
(* 33/1024 (pow x 6)) |
(* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(* 1/8 (pow x 3)) |
(* (pow x 3) (+ 1/8 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/8 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/8 (/ 1 (pow x 2)))) |
(* 1/8 (pow x 3)) |
(* (pow x 3) (+ 1/8 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/8 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/8 (/ 1 (pow x 2)))) |
1 |
(+ 1 (* 1/8 (pow x 2))) |
(+ 1 (* 1/8 (pow x 2))) |
(+ 1 (* 1/8 (pow x 2))) |
(* 1/8 (pow x 2)) |
(* (pow x 2) (+ 1/8 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/8 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/8 (/ 1 (pow x 2)))) |
(* 1/8 (pow x 2)) |
(* (pow x 2) (+ 1/8 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/8 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/8 (/ 1 (pow x 2)))) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) |
(* 7/128 (pow x 5)) |
(* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 5) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 7/128 (pow x 5)) |
(* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 2))) 7/128))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 2))) 7/128))) |
1 |
(+ 1 (* 1/8 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) |
(* 7/128 (pow x 4)) |
(* (pow x 4) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 7/128 (pow x 4)) |
(* (pow x 4) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/8 (pow x 2)) |
(* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))) |
(* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))) |
(* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))) |
(* 7/128 (pow x 4)) |
(* (pow x 4) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(* 7/128 (pow x 4)) |
(* (pow x 4) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))) |
(/ 2 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(+ (* -2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(- (+ (* -1 (/ (+ (* -2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3))) (* 2 (/ (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (pow x 4))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) (* 2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) |
(- (+ (* -1 (/ (+ (* -2 (/ (* (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3))) (* 2 (/ (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))) (* 2 (/ (+ (* 1/16 (sqrt (pow x 5))) (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 5))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (pow x 6))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) (+ (* -2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) 2) (* (pow x 4) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3)))) (+ (* 2 (/ (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (* (pow x 4) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (* 2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))))) |
(/ -2 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(- (* 2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) (* (pow x 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 2 (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(- (* -1 (/ (+ (* -2 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (* 2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (pow x 4))) (+ (* -2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) (* (pow x 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 2 (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(- (* -1 (/ (+ (* -2 (/ (+ (* 1/16 (* (sqrt (pow x 5)) (sqrt -1))) (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 4))))) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (+ (* -1 (/ (* (+ (* -2 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (* 2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1))))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 2 (/ (* (+ (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1))))) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (pow x 6))) (+ (* -2 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (* (pow x 4) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (+ (* -2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) (* (pow x 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (+ (* 2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) 2) (* (pow x 4) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (* 2 (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
-1 |
(- (* 2 x) 1) |
(- (* 2 x) 1) |
(- (* 2 x) 1) |
(* 2 x) |
(* x (- 2 (/ 1 x))) |
(* x (- 2 (/ 1 x))) |
(* x (- 2 (/ 1 x))) |
(* 2 x) |
(* -1 (* x (- (/ 1 x) 2))) |
(* -1 (* x (- (/ 1 x) 2))) |
(* -1 (* x (- (/ 1 x) 2))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* 33/1024 (pow x 2)) |
(* 33/1024 (pow x 2)) |
(* 33/1024 (pow x 2)) |
(* 33/1024 (pow x 2)) |
(* 33/1024 (pow x 2)) |
(* 33/1024 (pow x 2)) |
(* 33/1024 (pow x 2)) |
(* 33/1024 (pow x 2)) |
(* 33/1024 (pow x 2)) |
(* 33/1024 (pow x 2)) |
(* 33/1024 (pow x 2)) |
(* 33/1024 (pow x 2)) |
(* 7/128 (pow x 2)) |
(* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))) |
(* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))) |
(* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))) |
(* 33/1024 (pow x 4)) |
(* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(* 33/1024 (pow x 4)) |
(* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(* 7/128 x) |
(* x (+ 7/128 (* 33/1024 (pow x 2)))) |
(* x (+ 7/128 (* 33/1024 (pow x 2)))) |
(* x (+ 7/128 (* 33/1024 (pow x 2)))) |
(* 33/1024 (pow x 3)) |
(* (pow x 3) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(* 33/1024 (pow x 3)) |
(* (pow x 3) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(* 7/128 (pow x 2)) |
(* 7/128 (pow x 2)) |
(* 7/128 (pow x 2)) |
(* 7/128 (pow x 2)) |
(* 7/128 (pow x 2)) |
(* 7/128 (pow x 2)) |
(* 7/128 (pow x 2)) |
(* 7/128 (pow x 2)) |
(* 7/128 (pow x 2)) |
(* 7/128 (pow x 2)) |
(* 7/128 (pow x 2)) |
(* 7/128 (pow x 2)) |
2 |
(+ 2 (* -1/4 (pow x 2))) |
(+ 2 (* (pow x 2) (- (* -5/64 (pow x 2)) 1/4))) |
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -21/512 (pow x 2)) 5/64)) 1/4))) |
(* x (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))) |
(* -1 (* x (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64)))))))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 x (*.f64 x #s(literal 33/1024 binary64)))))))))) |
(* 33/1024 (pow x 7)) |
(*.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 33/1024 binary64) (/.f64 #s(literal 7/128 binary64) (*.f64 x x)))) |
(* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 33/1024 binary64) (+.f64 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 33/1024 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))) |
(* 33/1024 (pow x 7)) |
(*.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 33/1024 binary64) (/.f64 #s(literal 7/128 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 7/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 33/1024))) |
(*.f64 (-.f64 #s(literal -33/1024 binary64) (/.f64 (+.f64 #s(literal 7/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 7 binary64)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 4))) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 33/1024 binary64) (/.f64 #s(literal 7/128 binary64) (*.f64 x x))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
(+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64))))))) |
(+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 x (*.f64 x #s(literal 33/1024 binary64))))))))) |
(* 33/1024 (pow x 6)) |
(*.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 33/1024 binary64) (/.f64 #s(literal 7/128 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal 33/1024 binary64) (+.f64 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(+.f64 (*.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64))) |
(* 33/1024 (pow x 6)) |
(*.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 33/1024 binary64) (/.f64 #s(literal 7/128 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal 33/1024 binary64) (+.f64 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(+.f64 (*.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64))) |
(* 1/8 (pow x 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64)))))) |
(* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 x (*.f64 x #s(literal 33/1024 binary64)))))))) |
(* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 x (*.f64 x #s(literal 33/1024 binary64)))))))) |
(* 33/1024 (pow x 6)) |
(*.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 33/1024 binary64) (/.f64 #s(literal 7/128 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal 33/1024 binary64) (+.f64 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal 33/1024 binary64) (+.f64 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64))) |
(* 33/1024 (pow x 6)) |
(*.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 33/1024 binary64) (/.f64 #s(literal 7/128 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal 33/1024 binary64) (+.f64 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal 33/1024 binary64) (+.f64 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(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) |
x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(* 1/8 (pow x 3)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/8 (/ 1 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(* (pow x 3) (+ 1/8 (/ 1 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(* (pow x 3) (+ 1/8 (/ 1 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(* 1/8 (pow x 3)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/8 (/ 1 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(* (pow x 3) (+ 1/8 (/ 1 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(* (pow x 3) (+ 1/8 (/ 1 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
(+ 1 (* 1/8 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
(+ 1 (* 1/8 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
(* 1/8 (pow x 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/8 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
(* (pow x 2) (+ 1/8 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
(* (pow x 2) (+ 1/8 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
(* 1/8 (pow x 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/8 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
(* (pow x 2) (+ 1/8 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
(* (pow x 2) (+ 1/8 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
(* 1/8 (pow x 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(* 1/8 (pow x 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(* 1/8 (pow x 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(* 1/8 (pow x 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(* 1/8 (pow x 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(* 1/8 (pow x 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(* 1/8 (pow x 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(* 1/8 (pow x 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(* 1/8 (pow x 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(* 1/8 (pow x 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(* 1/8 (pow x 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(* 1/8 (pow x 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64)))))))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64)))))))) |
(* 7/128 (pow x 5)) |
(*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 7/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 7/128 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* (pow x 5) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 7/128 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* 7/128 (pow x 5)) |
(*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 7/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 2))) 7/128))) |
(-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal -7/128 binary64)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 2))) 7/128))) |
(-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal -7/128 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
(+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64))))))) |
(+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64))))))) |
(* 7/128 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 7/128 binary64))))) |
(* (pow x 4) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 7/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 7/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) #s(literal 1 binary64)) |
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#s(literal -1 binary64) |
(- (* 2 x) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2 binary64))) |
(- (* 2 x) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2 binary64))) |
(- (* 2 x) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2 binary64))) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (- 2 (/ 1 x))) |
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2 binary64))) |
(* x (- 2 (/ 1 x))) |
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2 binary64))) |
(* x (- 2 (/ 1 x))) |
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2 binary64))) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* -1 (* x (- (/ 1 x) 2))) |
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2 binary64))) |
(* -1 (* x (- (/ 1 x) 2))) |
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2 binary64))) |
(* -1 (* x (- (/ 1 x) 2))) |
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* 33/1024 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 33/1024 binary64))) |
(* 33/1024 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 33/1024 binary64))) |
(* 33/1024 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 33/1024 binary64))) |
(* 33/1024 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 33/1024 binary64))) |
(* 33/1024 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 33/1024 binary64))) |
(* 33/1024 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 33/1024 binary64))) |
(* 33/1024 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 33/1024 binary64))) |
(* 33/1024 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 33/1024 binary64))) |
(* 33/1024 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 33/1024 binary64))) |
(* 33/1024 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 33/1024 binary64))) |
(* 33/1024 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 33/1024 binary64))) |
(* 33/1024 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 33/1024 binary64))) |
(* 7/128 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 7/128 binary64))) |
(* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 x (*.f64 x #s(literal 33/1024 binary64))))) |
(* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 x (*.f64 x #s(literal 33/1024 binary64))))) |
(* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 x (*.f64 x #s(literal 33/1024 binary64))))) |
(* 33/1024 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 33/1024 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 33/1024 binary64) (/.f64 #s(literal 7/128 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 33/1024 binary64) (/.f64 #s(literal 7/128 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 33/1024 binary64) (/.f64 #s(literal 7/128 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* 33/1024 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 33/1024 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 33/1024 binary64) (/.f64 #s(literal 7/128 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 33/1024 binary64) (/.f64 #s(literal 7/128 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 33/1024 binary64) (/.f64 #s(literal 7/128 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* 7/128 x) |
(*.f64 x #s(literal 7/128 binary64)) |
(* x (+ 7/128 (* 33/1024 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 7/128 binary64) (*.f64 x (*.f64 x #s(literal 33/1024 binary64))))) |
(* x (+ 7/128 (* 33/1024 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 7/128 binary64) (*.f64 x (*.f64 x #s(literal 33/1024 binary64))))) |
(* x (+ 7/128 (* 33/1024 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 7/128 binary64) (*.f64 x (*.f64 x #s(literal 33/1024 binary64))))) |
(* 33/1024 (pow x 3)) |
(*.f64 #s(literal 33/1024 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 7/128 binary64) (*.f64 x (*.f64 x #s(literal 33/1024 binary64))))) |
(* (pow x 3) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 7/128 binary64) (*.f64 x (*.f64 x #s(literal 33/1024 binary64))))) |
(* (pow x 3) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 7/128 binary64) (*.f64 x (*.f64 x #s(literal 33/1024 binary64))))) |
(* 33/1024 (pow x 3)) |
(*.f64 #s(literal 33/1024 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 7/128 binary64) (*.f64 x (*.f64 x #s(literal 33/1024 binary64))))) |
(* (pow x 3) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 7/128 binary64) (*.f64 x (*.f64 x #s(literal 33/1024 binary64))))) |
(* (pow x 3) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 7/128 binary64) (*.f64 x (*.f64 x #s(literal 33/1024 binary64))))) |
(* 7/128 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 7/128 binary64))) |
(* 7/128 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 7/128 binary64))) |
(* 7/128 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 7/128 binary64))) |
(* 7/128 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 7/128 binary64))) |
(* 7/128 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 7/128 binary64))) |
(* 7/128 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 7/128 binary64))) |
(* 7/128 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 7/128 binary64))) |
(* 7/128 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 7/128 binary64))) |
(* 7/128 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 7/128 binary64))) |
(* 7/128 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 7/128 binary64))) |
(* 7/128 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 7/128 binary64))) |
(* 7/128 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 7/128 binary64))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1/4 (pow x 2))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) |
(+ 2 (* (pow x 2) (- (* -5/64 (pow x 2)) 1/4))) |
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -5/64 binary64)))))) |
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -21/512 (pow x 2)) 5/64)) 1/4))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64)))))))) |
(* x (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(*.f64 x (*.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))) |
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)))))) |
(* -1 (* x (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64))))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))) |
(sqrt x) |
(sqrt.f64 x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(*.f64 x (+.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))) |
Compiled 25896 to 2592 computations (90% saved)
8 alts after pruning (4 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 938 | 4 | 942 |
| Fresh | 2 | 0 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 942 | 8 | 950 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 7.8% | (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))))))) |
| ▶ | 100.0% | (/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
| ✓ | 7.7% | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| ▶ | 99.9% | (+.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))) (*.f64 x (*.f64 x x))) x) |
| ▶ | 99.9% | (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))))) |
| ✓ | 99.9% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))))))) |
| ✓ | 99.8% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
| ✓ | 99.5% | x |
Compiled 130 to 81 computations (37.7% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (-.f64 x (-.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 256 | (+.f64 #s(literal 1 binary64) (-.f64 x (-.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 256 | (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))))))) |
| ✓ | cost-diff | 0 | (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 7/128 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))) (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))) (*.f64 x (*.f64 x x))) x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) |
| ✓ | cost-diff | 256 | (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))) |
| ✓ | cost-diff | 256 | (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))))) |
| 2652× | +-lowering-+.f64 |
| 2652× | +-lowering-+.f32 |
| 2314× | *-lowering-*.f32 |
| 2314× | *-lowering-*.f64 |
| 1506× | fnmadd-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 279 |
| 1 | 127 | 248 |
| 2 | 396 | 244 |
| 3 | 1262 | 241 |
| 4 | 5568 | 241 |
| 0 | 8456 | 241 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ (+ 1 (* (* x x) 1/8)) (* (* x x) (* (* x x) (+ 7/128 (* (* x x) 33/1024)))))) |
x |
(+ (+ 1 (* (* x x) 1/8)) (* (* x x) (* (* x x) (+ 7/128 (* (* x x) 33/1024))))) |
(+ 1 (* (* x x) 1/8)) |
1 |
(* (* x x) 1/8) |
(* x x) |
1/8 |
(* (* x x) (* (* x x) (+ 7/128 (* (* x x) 33/1024)))) |
(* (* x x) (+ 7/128 (* (* x x) 33/1024))) |
(+ 7/128 (* (* x x) 33/1024)) |
7/128 |
(* (* x x) 33/1024) |
33/1024 |
(+ (* (+ 1/8 (* (* x x) 7/128)) (* x (* x x))) x) |
(* (+ 1/8 (* (* x x) 7/128)) (* x (* x x))) |
(+ 1/8 (* (* x x) 7/128)) |
1/8 |
(* (* x x) 7/128) |
(* x x) |
x |
7/128 |
(* x (* x x)) |
(/ (* x 2) (+ (pow (+ 1 x) 1/2) (pow (- 1 x) 1/2))) |
(* x 2) |
x |
2 |
(+ (pow (+ 1 x) 1/2) (pow (- 1 x) 1/2)) |
(pow (+ 1 x) 1/2) |
(+ 1 x) |
1 |
1/2 |
(pow (- 1 x) 1/2) |
(- 1 x) |
(/ (+ 1 (- x (- 1 x))) (+ 2 (* (* x x) (+ -1/4 (* x (* x (+ -5/64 (* (* x x) -21/512)))))))) |
(+ 1 (- x (- 1 x))) |
1 |
(- x (- 1 x)) |
x |
(- 1 x) |
(+ 2 (* (* x x) (+ -1/4 (* x (* x (+ -5/64 (* (* x x) -21/512))))))) |
2 |
(* (* x x) (+ -1/4 (* x (* x (+ -5/64 (* (* x x) -21/512)))))) |
(* x x) |
(+ -1/4 (* x (* x (+ -5/64 (* (* x x) -21/512))))) |
-1/4 |
(* x (* x (+ -5/64 (* (* x x) -21/512)))) |
(* x (+ -5/64 (* (* x x) -21/512))) |
(+ -5/64 (* (* x x) -21/512)) |
-5/64 |
(* (* x x) -21/512) |
-21/512 |
| Outputs |
|---|
(* x (+ (+ 1 (* (* x x) 1/8)) (* (* x x) (* (* x x) (+ 7/128 (* (* x x) 33/1024)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))))))) |
x |
(+ (+ 1 (* (* x x) 1/8)) (* (* x x) (* (* x x) (+ 7/128 (* (* x x) 33/1024))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))))) |
(+ 1 (* (* x x) 1/8)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) |
1 |
#s(literal 1 binary64) |
(* (* x x) 1/8) |
(*.f64 x (*.f64 x #s(literal 1/8 binary64))) |
(* x x) |
(*.f64 x x) |
1/8 |
#s(literal 1/8 binary64) |
(* (* x x) (* (* x x) (+ 7/128 (* (* x x) 33/1024)))) |
(*.f64 (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (* x x) (+ 7/128 (* (* x x) 33/1024))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))) |
(+ 7/128 (* (* x x) 33/1024)) |
(+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))) |
7/128 |
#s(literal 7/128 binary64) |
(* (* x x) 33/1024) |
(*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) |
33/1024 |
#s(literal 33/1024 binary64) |
(+ (* (+ 1/8 (* (* x x) 7/128)) (* x (* x x))) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))))))) |
(* (+ 1/8 (* (* x x) 7/128)) (* x (* x x))) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))))) |
(+ 1/8 (* (* x x) 7/128)) |
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))) |
1/8 |
#s(literal 1/8 binary64) |
(* (* x x) 7/128) |
(*.f64 (*.f64 x x) #s(literal 7/128 binary64)) |
(* x x) |
(*.f64 x x) |
x |
7/128 |
#s(literal 7/128 binary64) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(/ (* x 2) (+ (pow (+ 1 x) 1/2) (pow (- 1 x) 1/2))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(* x 2) |
(*.f64 x #s(literal 2 binary64)) |
x |
2 |
#s(literal 2 binary64) |
(+ (pow (+ 1 x) 1/2) (pow (- 1 x) 1/2)) |
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
(pow (+ 1 x) 1/2) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
1/2 |
#s(literal 1/2 binary64) |
(pow (- 1 x) 1/2) |
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (- x (- 1 x))) (+ 2 (* (* x x) (+ -1/4 (* x (* x (+ -5/64 (* (* x x) -21/512)))))))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64)))))))))) |
(+ 1 (- x (- 1 x))) |
(*.f64 x #s(literal 2 binary64)) |
1 |
#s(literal 1 binary64) |
(- x (- 1 x)) |
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2 binary64))) |
x |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(+ 2 (* (* x x) (+ -1/4 (* x (* x (+ -5/64 (* (* x x) -21/512))))))) |
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))))))) |
2 |
#s(literal 2 binary64) |
(* (* x x) (+ -1/4 (* x (* x (+ -5/64 (* (* x x) -21/512)))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64)))))))) |
(* x x) |
(*.f64 x x) |
(+ -1/4 (* x (* x (+ -5/64 (* (* x x) -21/512))))) |
(+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64)))))) |
-1/4 |
#s(literal -1/4 binary64) |
(* x (* x (+ -5/64 (* (* x x) -21/512)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))) |
(* x (+ -5/64 (* (* x x) -21/512))) |
(*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64)))) |
(+ -5/64 (* (* x x) -21/512)) |
(+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))) |
-5/64 |
#s(literal -5/64 binary64) |
(* (* x x) -21/512) |
(*.f64 (*.f64 x x) #s(literal -21/512 binary64)) |
-21/512 |
#s(literal -21/512 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal -21/512 binary64)) |
| ✓ | accuracy | 7.9% | (+.f64 #s(literal 1 binary64) (-.f64 x (-.f64 #s(literal 1 binary64) x))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal 7/128 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))))) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) |
| 358.0ms | 231× | 1 | valid |
| 82.0ms | 15× | 3 | valid |
| 8.0ms | 4× | 2 | valid |
| 2.0ms | 6× | 0 | valid |
Compiled 340 to 42 computations (87.6% saved)
ival-pow: 215.0ms (63.2% of total)ival-mult: 53.0ms (15.6% of total)ival-add: 31.0ms (9.1% of total)backward-pass: 23.0ms (6.8% of total)ival-div: 8.0ms (2.4% of total)ival-sub: 7.0ms (2.1% of total)const: 3.0ms (0.9% of total)| Inputs |
|---|
#<alt (* x (+ (+ 1 (* (* x x) 1/8)) (* (* x x) (* (* x x) (+ 7/128 (* (* x x) 33/1024))))))> |
#<alt (+ (+ 1 (* (* x x) 1/8)) (* (* x x) (* (* x x) (+ 7/128 (* (* x x) 33/1024)))))> |
#<alt (+ 1 (* (* x x) 1/8))> |
#<alt (* (* x x) 1/8)> |
#<alt (+ (* (+ 1/8 (* (* x x) 7/128)) (* x (* x x))) x)> |
#<alt (* (+ 1/8 (* (* x x) 7/128)) (* x (* x x)))> |
#<alt (+ 1/8 (* (* x x) 7/128))> |
#<alt (* (* x x) 7/128)> |
#<alt (/ (* x 2) (+ (pow (+ 1 x) 1/2) (pow (- 1 x) 1/2)))> |
#<alt (* x 2)> |
#<alt (+ (pow (+ 1 x) 1/2) (pow (- 1 x) 1/2))> |
#<alt (pow (+ 1 x) 1/2)> |
#<alt (/ (+ 1 (- x (- 1 x))) (+ 2 (* (* x x) (+ -1/4 (* x (* x (+ -5/64 (* (* x x) -21/512))))))))> |
#<alt (+ 1 (- x (- 1 x)))> |
#<alt (- x (- 1 x))> |
#<alt (- 1 x)> |
#<alt (* (* x x) 33/1024)> |
#<alt (* (* x x) (+ 7/128 (* (* x x) 33/1024)))> |
#<alt (* (* x x) (* (* x x) (+ 7/128 (* (* x x) 33/1024))))> |
#<alt (* x (* x x))> |
#<alt (* x x)> |
#<alt (pow (- 1 x) 1/2)> |
#<alt (* (* x x) -21/512)> |
#<alt (* x (* x (+ -5/64 (* (* x x) -21/512))))> |
#<alt (* x (+ -5/64 (* (* x x) -21/512)))> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* 1/8 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))> |
#<alt (* 33/1024 (pow x 7))> |
#<alt (* (pow x 7) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 33/1024 (pow x 7))> |
#<alt (* (pow x 7) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 7/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 33/1024)))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 4))) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/8 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))> |
#<alt (* 33/1024 (pow x 6))> |
#<alt (* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 33/1024 (pow x 6))> |
#<alt (* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/8 (pow x 2)))> |
#<alt (+ 1 (* 1/8 (pow x 2)))> |
#<alt (+ 1 (* 1/8 (pow x 2)))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/8 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/8 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/8 (/ 1 (pow x 2))))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/8 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/8 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/8 (/ 1 (pow x 2))))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* 1/8 (pow x 2))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/8 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))> |
#<alt (* 7/128 (pow x 5))> |
#<alt (* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 5) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 7/128 (pow x 5))> |
#<alt (* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 2))) 7/128)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 2))) 7/128)))> |
#<alt (* 1/8 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/8 (* 7/128 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/8 (* 7/128 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/8 (* 7/128 (pow x 2))))> |
#<alt (* 7/128 (pow x 5))> |
#<alt (* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))> |
#<alt (* 7/128 (pow x 5))> |
#<alt (* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))> |
#<alt 1/8> |
#<alt (+ 1/8 (* 7/128 (pow x 2)))> |
#<alt (+ 1/8 (* 7/128 (pow x 2)))> |
#<alt (+ 1/8 (* 7/128 (pow x 2)))> |
#<alt (* 7/128 (pow x 2))> |
#<alt (* (pow x 2) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))> |
#<alt (* 7/128 (pow x 2))> |
#<alt (* (pow x 2) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))> |
#<alt (* 7/128 (pow x 2))> |
#<alt (* 7/128 (pow x 2))> |
#<alt (* 7/128 (pow x 2))> |
#<alt (* 7/128 (pow x 2))> |
#<alt (* 7/128 (pow x 2))> |
#<alt (* 7/128 (pow x 2))> |
#<alt (* 7/128 (pow x 2))> |
#<alt (* 7/128 (pow x 2))> |
#<alt (* 7/128 (pow x 2))> |
#<alt (* 7/128 (pow x 2))> |
#<alt (* 7/128 (pow x 2))> |
#<alt (* 7/128 (pow x 2))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/8 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))> |
#<alt (/ 2 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))> |
#<alt (+ (* -2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))> |
#<alt (- (+ (* -1 (/ (+ (* -2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3))) (* 2 (/ (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (pow x 4))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) (* 2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))))> |
#<alt (- (+ (* -1 (/ (+ (* -2 (/ (* (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3))) (* 2 (/ (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))) (* 2 (/ (+ (* 1/16 (sqrt (pow x 5))) (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 5))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (pow x 6))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) (+ (* -2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) 2) (* (pow x 4) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3)))) (+ (* 2 (/ (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (* (pow x 4) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (* 2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))))))> |
#<alt (/ -2 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))> |
#<alt (- (* 2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) (* (pow x 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 2 (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (- (* -1 (/ (+ (* -2 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (* 2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (pow x 4))) (+ (* -2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) (* (pow x 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 2 (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))> |
#<alt (- (* -1 (/ (+ (* -2 (/ (+ (* 1/16 (* (sqrt (pow x 5)) (sqrt -1))) (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 4))))) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (+ (* -1 (/ (* (+ (* -2 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (* 2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1))))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 2 (/ (* (+ (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1))))) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (pow x 6))) (+ (* -2 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (* (pow x 4) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (+ (* -2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) (* (pow x 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (+ (* 2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) 2) (* (pow x 4) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (* 2 (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt 2> |
#<alt (+ 2 (* -1/4 (pow x 2)))> |
#<alt (+ 2 (* (pow x 2) (- (* -5/64 (pow x 2)) 1/4)))> |
#<alt (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -21/512 (pow x 2)) 5/64)) 1/4)))> |
#<alt (* x (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))))> |
#<alt (* -1 (* x (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))> |
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))> |
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (+ 1 (* x (+ 1/2 (* -1/8 x))))> |
#<alt (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))> |
#<alt (sqrt x)> |
#<alt (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/8 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))> |
#<alt (/ -1024/21 (pow x 5))> |
#<alt (/ (- (* 40960/441 (/ 1 (pow x 2))) 1024/21) (pow x 5))> |
#<alt (/ (- (+ (* 40960/441 (/ 1 (pow x 2))) (/ 1114112/9261 (pow x 4))) 1024/21) (pow x 5))> |
#<alt (/ (- (+ (* 40960/441 (/ 1 (pow x 2))) (/ 1114112/9261 (pow x 4))) (+ 1024/21 (* 617086976/194481 (/ 1 (pow x 6))))) (pow x 5))> |
#<alt (/ -1024/21 (pow x 5))> |
#<alt (* -1 (/ (- 1024/21 (* 40960/441 (/ 1 (pow x 2)))) (pow x 5)))> |
#<alt (* -1 (/ (+ 1024/21 (* -1 (/ (+ 40960/441 (* 1114112/9261 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 5)))> |
#<alt (* -1 (/ (- (+ 1024/21 (* 617086976/194481 (/ 1 (pow x 6)))) (+ (* 40960/441 (/ 1 (pow x 2))) (/ 1114112/9261 (pow x 4)))) (pow x 5)))> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt -1> |
#<alt (- (* 2 x) 1)> |
#<alt (- (* 2 x) 1)> |
#<alt (- (* 2 x) 1)> |
#<alt (* 2 x)> |
#<alt (* x (- 2 (/ 1 x)))> |
#<alt (* x (- 2 (/ 1 x)))> |
#<alt (* x (- 2 (/ 1 x)))> |
#<alt (* 2 x)> |
#<alt (* -1 (* x (- (/ 1 x) 2)))> |
#<alt (* -1 (* x (- (/ 1 x) 2)))> |
#<alt (* -1 (* x (- (/ 1 x) 2)))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* 33/1024 (pow x 2))> |
#<alt (* 33/1024 (pow x 2))> |
#<alt (* 33/1024 (pow x 2))> |
#<alt (* 33/1024 (pow x 2))> |
#<alt (* 33/1024 (pow x 2))> |
#<alt (* 33/1024 (pow x 2))> |
#<alt (* 33/1024 (pow x 2))> |
#<alt (* 33/1024 (pow x 2))> |
#<alt (* 33/1024 (pow x 2))> |
#<alt (* 33/1024 (pow x 2))> |
#<alt (* 33/1024 (pow x 2))> |
#<alt (* 33/1024 (pow x 2))> |
#<alt (* 7/128 (pow x 2))> |
#<alt (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))> |
#<alt (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))> |
#<alt (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))> |
#<alt (* 33/1024 (pow x 4))> |
#<alt (* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))> |
#<alt (* 33/1024 (pow x 4))> |
#<alt (* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))> |
#<alt (* 7/128 (pow x 4))> |
#<alt (* (pow x 4) (+ 7/128 (* 33/1024 (pow x 2))))> |
#<alt (* (pow x 4) (+ 7/128 (* 33/1024 (pow x 2))))> |
#<alt (* (pow x 4) (+ 7/128 (* 33/1024 (pow x 2))))> |
#<alt (* 33/1024 (pow x 6))> |
#<alt (* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))> |
#<alt (* 33/1024 (pow x 6))> |
#<alt (* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 33/1024 (* 7/128 (/ 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 (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 1> |
#<alt (+ 1 (* -1/2 x))> |
#<alt (+ 1 (* x (- (* -1/8 x) 1/2)))> |
#<alt (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))> |
#<alt (* (sqrt x) (sqrt -1))> |
#<alt (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))> |
#<alt (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))> |
#<alt (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))> |
#<alt (* -1 (* (sqrt x) (sqrt -1)))> |
#<alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))> |
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))> |
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))> |
#<alt (* -21/512 (pow x 2))> |
#<alt (* -21/512 (pow x 2))> |
#<alt (* -21/512 (pow x 2))> |
#<alt (* -21/512 (pow x 2))> |
#<alt (* -21/512 (pow x 2))> |
#<alt (* -21/512 (pow x 2))> |
#<alt (* -21/512 (pow x 2))> |
#<alt (* -21/512 (pow x 2))> |
#<alt (* -21/512 (pow x 2))> |
#<alt (* -21/512 (pow x 2))> |
#<alt (* -21/512 (pow x 2))> |
#<alt (* -21/512 (pow x 2))> |
#<alt (* -5/64 (pow x 2))> |
#<alt (* (pow x 2) (- (* -21/512 (pow x 2)) 5/64))> |
#<alt (* (pow x 2) (- (* -21/512 (pow x 2)) 5/64))> |
#<alt (* (pow x 2) (- (* -21/512 (pow x 2)) 5/64))> |
#<alt (* -21/512 (pow x 4))> |
#<alt (* -1 (* (pow x 4) (+ 21/512 (* 5/64 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 4) (+ 21/512 (* 5/64 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 4) (+ 21/512 (* 5/64 (/ 1 (pow x 2))))))> |
#<alt (* -21/512 (pow x 4))> |
#<alt (* -1 (* (pow x 4) (+ 21/512 (* 5/64 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 4) (+ 21/512 (* 5/64 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 4) (+ 21/512 (* 5/64 (/ 1 (pow x 2))))))> |
#<alt (* -5/64 x)> |
#<alt (* x (- (* -21/512 (pow x 2)) 5/64))> |
#<alt (* x (- (* -21/512 (pow x 2)) 5/64))> |
#<alt (* x (- (* -21/512 (pow x 2)) 5/64))> |
#<alt (* -21/512 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (+ 21/512 (* 5/64 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 21/512 (* 5/64 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 21/512 (* 5/64 (/ 1 (pow x 2))))))> |
#<alt (* -21/512 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (+ 21/512 (* 5/64 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 21/512 (* 5/64 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 21/512 (* 5/64 (/ 1 (pow x 2))))))> |
75 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (/ (+ 1 (- x (- 1 x))) (+ 2 (* (* x x) (+ -1/4 (* x (* x (+ -5/64 (* (* x x) -21/512)))))))) |
| 1.0ms | x | @ | inf | (/ (+ 1 (- x (- 1 x))) (+ 2 (* (* x x) (+ -1/4 (* x (* x (+ -5/64 (* (* x x) -21/512)))))))) |
| 0.0ms | x | @ | inf | (* x (* x (+ -5/64 (* (* x x) -21/512)))) |
| 0.0ms | x | @ | inf | (* (* x x) -21/512) |
| 0.0ms | x | @ | -inf | (+ (* (+ 1/8 (* (* x x) 7/128)) (* x (* x x))) x) |
| 1× | batch-egg-rewrite |
| 3232× | *-lowering-*.f32 |
| 3232× | *-lowering-*.f64 |
| 2520× | fma-lowering-fma.f32 |
| 2520× | fma-lowering-fma.f64 |
| 1986× | pow-lowering-pow.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 202 |
| 1 | 302 | 179 |
| 2 | 2896 | 176 |
| 0 | 8238 | 176 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ (+ 1 (* (* x x) 1/8)) (* (* x x) (* (* x x) (+ 7/128 (* (* x x) 33/1024)))))) |
(+ (+ 1 (* (* x x) 1/8)) (* (* x x) (* (* x x) (+ 7/128 (* (* x x) 33/1024))))) |
(+ 1 (* (* x x) 1/8)) |
(* (* x x) 1/8) |
(+ (* (+ 1/8 (* (* x x) 7/128)) (* x (* x x))) x) |
(* (+ 1/8 (* (* x x) 7/128)) (* x (* x x))) |
(+ 1/8 (* (* x x) 7/128)) |
(* (* x x) 7/128) |
(/ (* x 2) (+ (pow (+ 1 x) 1/2) (pow (- 1 x) 1/2))) |
(* x 2) |
(+ (pow (+ 1 x) 1/2) (pow (- 1 x) 1/2)) |
(pow (+ 1 x) 1/2) |
(/ (+ 1 (- x (- 1 x))) (+ 2 (* (* x x) (+ -1/4 (* x (* x (+ -5/64 (* (* x x) -21/512)))))))) |
(+ 1 (- x (- 1 x))) |
(- x (- 1 x)) |
(- 1 x) |
(* (* x x) 33/1024) |
(* (* x x) (+ 7/128 (* (* x x) 33/1024))) |
(* (* x x) (* (* x x) (+ 7/128 (* (* x x) 33/1024)))) |
(* x (* x x)) |
(* x x) |
(pow (- 1 x) 1/2) |
(* (* x x) -21/512) |
(* x (* x (+ -5/64 (* (* x x) -21/512)))) |
(* x (+ -5/64 (* (* x x) -21/512))) |
| Outputs |
|---|
(+.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))))) |
(+.f64 x (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))) x)) |
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))))) |
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(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -21/512 binary64) (*.f64 x #s(literal -5/64 binary64))) |
(fma.f64 #s(literal -5/64 binary64) x (*.f64 x (*.f64 (*.f64 x x) #s(literal -21/512 binary64)))) |
(fma.f64 #s(literal -21/512 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -5/64 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal -21/512 binary64)) x (*.f64 x #s(literal -5/64 binary64))) |
(fma.f64 (*.f64 x #s(literal -21/512 binary64)) (*.f64 x x) (*.f64 x #s(literal -5/64 binary64))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -125/262144 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -9261/134217728 binary64))))) (+.f64 (*.f64 (*.f64 x #s(literal -5/64 binary64)) (*.f64 x #s(literal -5/64 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -21/512 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -21/512 binary64)))) (*.f64 (*.f64 x #s(literal -5/64 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal -5/64 binary64)) (*.f64 x #s(literal -5/64 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -21/512 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))) (-.f64 (*.f64 x #s(literal -5/64 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))) |
(/.f64 (*.f64 x (+.f64 #s(literal -125/262144 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -9261/134217728 binary64))))) (+.f64 #s(literal 25/4096 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -21/512 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -21/512 binary64)) #s(literal -5/64 binary64))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 25/4096 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 441/262144 binary64)))) (-.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal -125/262144 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -9261/134217728 binary64)))) x) (+.f64 #s(literal 25/4096 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -21/512 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -21/512 binary64)) #s(literal -5/64 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 25/4096 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 441/262144 binary64))) x) (-.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64)))) |
(*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64)))) |
(*.f64 (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))) x) |
| 1× | egg-herbie |
| 5918× | *-lowering-*.f32 |
| 5918× | *-lowering-*.f64 |
| 2686× | +-lowering-+.f64 |
| 2686× | +-lowering-+.f32 |
| 2010× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 406 | 3523 |
| 1 | 1369 | 2939 |
| 2 | 5376 | 2894 |
| 0 | 8098 | 2894 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))) |
(* 33/1024 (pow x 7)) |
(* (pow x 7) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 33/1024 (pow x 7)) |
(* (pow x 7) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 7/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 33/1024))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 4))) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))))) |
1 |
(+ 1 (* 1/8 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))) |
(* 33/1024 (pow x 6)) |
(* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 33/1024 (pow x 6)) |
(* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
1 |
(+ 1 (* 1/8 (pow x 2))) |
(+ 1 (* 1/8 (pow x 2))) |
(+ 1 (* 1/8 (pow x 2))) |
(* 1/8 (pow x 2)) |
(* (pow x 2) (+ 1/8 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/8 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/8 (/ 1 (pow x 2)))) |
(* 1/8 (pow x 2)) |
(* (pow x 2) (+ 1/8 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/8 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/8 (/ 1 (pow x 2)))) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) |
(* 7/128 (pow x 5)) |
(* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 5) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 7/128 (pow x 5)) |
(* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 2))) 7/128))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 2))) 7/128))) |
(* 1/8 (pow x 3)) |
(* (pow x 3) (+ 1/8 (* 7/128 (pow x 2)))) |
(* (pow x 3) (+ 1/8 (* 7/128 (pow x 2)))) |
(* (pow x 3) (+ 1/8 (* 7/128 (pow x 2)))) |
(* 7/128 (pow x 5)) |
(* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(* 7/128 (pow x 5)) |
(* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
1/8 |
(+ 1/8 (* 7/128 (pow x 2))) |
(+ 1/8 (* 7/128 (pow x 2))) |
(+ 1/8 (* 7/128 (pow x 2))) |
(* 7/128 (pow x 2)) |
(* (pow x 2) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(* 7/128 (pow x 2)) |
(* (pow x 2) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(* 7/128 (pow x 2)) |
(* 7/128 (pow x 2)) |
(* 7/128 (pow x 2)) |
(* 7/128 (pow x 2)) |
(* 7/128 (pow x 2)) |
(* 7/128 (pow x 2)) |
(* 7/128 (pow x 2)) |
(* 7/128 (pow x 2)) |
(* 7/128 (pow x 2)) |
(* 7/128 (pow x 2)) |
(* 7/128 (pow x 2)) |
(* 7/128 (pow x 2)) |
x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))) |
(/ 2 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(+ (* -2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(- (+ (* -1 (/ (+ (* -2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3))) (* 2 (/ (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (pow x 4))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) (* 2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) |
(- (+ (* -1 (/ (+ (* -2 (/ (* (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3))) (* 2 (/ (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))) (* 2 (/ (+ (* 1/16 (sqrt (pow x 5))) (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 5))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (pow x 6))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) (+ (* -2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) 2) (* (pow x 4) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3)))) (+ (* 2 (/ (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (* (pow x 4) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (* 2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))))) |
(/ -2 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(- (* 2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) (* (pow x 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 2 (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(- (* -1 (/ (+ (* -2 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (* 2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (pow x 4))) (+ (* -2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) (* (pow x 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 2 (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(- (* -1 (/ (+ (* -2 (/ (+ (* 1/16 (* (sqrt (pow x 5)) (sqrt -1))) (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 4))))) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (+ (* -1 (/ (* (+ (* -2 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (* 2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1))))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 2 (/ (* (+ (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1))))) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (pow x 6))) (+ (* -2 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (* (pow x 4) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (+ (* -2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) (* (pow x 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (+ (* 2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) 2) (* (pow x 4) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (* 2 (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
2 |
(+ 2 (* -1/4 (pow x 2))) |
(+ 2 (* (pow x 2) (- (* -5/64 (pow x 2)) 1/4))) |
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -21/512 (pow x 2)) 5/64)) 1/4))) |
(* x (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))) |
(* -1 (* x (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))) |
(/ -1024/21 (pow x 5)) |
(/ (- (* 40960/441 (/ 1 (pow x 2))) 1024/21) (pow x 5)) |
(/ (- (+ (* 40960/441 (/ 1 (pow x 2))) (/ 1114112/9261 (pow x 4))) 1024/21) (pow x 5)) |
(/ (- (+ (* 40960/441 (/ 1 (pow x 2))) (/ 1114112/9261 (pow x 4))) (+ 1024/21 (* 617086976/194481 (/ 1 (pow x 6))))) (pow x 5)) |
(/ -1024/21 (pow x 5)) |
(* -1 (/ (- 1024/21 (* 40960/441 (/ 1 (pow x 2)))) (pow x 5))) |
(* -1 (/ (+ 1024/21 (* -1 (/ (+ 40960/441 (* 1114112/9261 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 5))) |
(* -1 (/ (- (+ 1024/21 (* 617086976/194481 (/ 1 (pow x 6)))) (+ (* 40960/441 (/ 1 (pow x 2))) (/ 1114112/9261 (pow x 4)))) (pow x 5))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
-1 |
(- (* 2 x) 1) |
(- (* 2 x) 1) |
(- (* 2 x) 1) |
(* 2 x) |
(* x (- 2 (/ 1 x))) |
(* x (- 2 (/ 1 x))) |
(* x (- 2 (/ 1 x))) |
(* 2 x) |
(* -1 (* x (- (/ 1 x) 2))) |
(* -1 (* x (- (/ 1 x) 2))) |
(* -1 (* x (- (/ 1 x) 2))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* 33/1024 (pow x 2)) |
(* 33/1024 (pow x 2)) |
(* 33/1024 (pow x 2)) |
(* 33/1024 (pow x 2)) |
(* 33/1024 (pow x 2)) |
(* 33/1024 (pow x 2)) |
(* 33/1024 (pow x 2)) |
(* 33/1024 (pow x 2)) |
(* 33/1024 (pow x 2)) |
(* 33/1024 (pow x 2)) |
(* 33/1024 (pow x 2)) |
(* 33/1024 (pow x 2)) |
(* 7/128 (pow x 2)) |
(* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))) |
(* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))) |
(* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))) |
(* 33/1024 (pow x 4)) |
(* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(* 33/1024 (pow x 4)) |
(* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(* 7/128 (pow x 4)) |
(* (pow x 4) (+ 7/128 (* 33/1024 (pow x 2)))) |
(* (pow x 4) (+ 7/128 (* 33/1024 (pow x 2)))) |
(* (pow x 4) (+ 7/128 (* 33/1024 (pow x 2)))) |
(* 33/1024 (pow x 6)) |
(* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(* 33/1024 (pow x 6)) |
(* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 33/1024 (* 7/128 (/ 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) |
(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 (* -1/2 x)) |
(+ 1 (* x (- (* -1/8 x) 1/2))) |
(+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2))) |
(* (sqrt x) (sqrt -1)) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* -1 (* (sqrt x) (sqrt -1))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(* -21/512 (pow x 2)) |
(* -21/512 (pow x 2)) |
(* -21/512 (pow x 2)) |
(* -21/512 (pow x 2)) |
(* -21/512 (pow x 2)) |
(* -21/512 (pow x 2)) |
(* -21/512 (pow x 2)) |
(* -21/512 (pow x 2)) |
(* -21/512 (pow x 2)) |
(* -21/512 (pow x 2)) |
(* -21/512 (pow x 2)) |
(* -21/512 (pow x 2)) |
(* -5/64 (pow x 2)) |
(* (pow x 2) (- (* -21/512 (pow x 2)) 5/64)) |
(* (pow x 2) (- (* -21/512 (pow x 2)) 5/64)) |
(* (pow x 2) (- (* -21/512 (pow x 2)) 5/64)) |
(* -21/512 (pow x 4)) |
(* -1 (* (pow x 4) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 4) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 4) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(* -21/512 (pow x 4)) |
(* -1 (* (pow x 4) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 4) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 4) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(* -5/64 x) |
(* x (- (* -21/512 (pow x 2)) 5/64)) |
(* x (- (* -21/512 (pow x 2)) 5/64)) |
(* x (- (* -21/512 (pow x 2)) 5/64)) |
(* -21/512 (pow x 3)) |
(* -1 (* (pow x 3) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(* -21/512 (pow x 3)) |
(* -1 (* (pow x 3) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))))) |
(* 33/1024 (pow x 7)) |
(*.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 33/1024 binary64) (/.f64 #s(literal 7/128 binary64) (*.f64 x x)))) |
(* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) (+.f64 #s(literal 33/1024 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 33/1024 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))) |
(* 33/1024 (pow x 7)) |
(*.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 33/1024 binary64) (/.f64 #s(literal 7/128 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 7/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 33/1024))) |
(*.f64 (-.f64 #s(literal -33/1024 binary64) (/.f64 (+.f64 #s(literal 7/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 7 binary64)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 4))) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 33/1024 binary64) (/.f64 #s(literal 7/128 binary64) (*.f64 x x))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
(+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))))) |
(+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))))) |
(* 33/1024 (pow x 6)) |
(*.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 33/1024 binary64) (/.f64 #s(literal 7/128 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) (+.f64 #s(literal 33/1024 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 33/1024 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))) |
(* 33/1024 (pow x 6)) |
(*.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 33/1024 binary64) (/.f64 #s(literal 7/128 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) (+.f64 #s(literal 33/1024 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 33/1024 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
(+ 1 (* 1/8 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
(+ 1 (* 1/8 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
(* 1/8 (pow x 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/8 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
(* (pow x 2) (+ 1/8 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
(* (pow x 2) (+ 1/8 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
(* 1/8 (pow x 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/8 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
(* (pow x 2) (+ 1/8 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
(* (pow x 2) (+ 1/8 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
(* 1/8 (pow x 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(* 1/8 (pow x 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(* 1/8 (pow x 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(* 1/8 (pow x 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(* 1/8 (pow x 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(* 1/8 (pow x 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(* 1/8 (pow x 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(* 1/8 (pow x 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(* 1/8 (pow x 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(* 1/8 (pow x 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(* 1/8 (pow x 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(* 1/8 (pow x 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64)))))) |
(* 7/128 (pow x 5)) |
(*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 7/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (+.f64 #s(literal 7/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* (pow x 5) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (+.f64 #s(literal 7/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* 7/128 (pow x 5)) |
(*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 7/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 2))) 7/128))) |
(*.f64 (-.f64 #s(literal -7/128 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 2))) 7/128))) |
(*.f64 (-.f64 #s(literal -7/128 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(* 1/8 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
(* (pow x 3) (+ 1/8 (* 7/128 (pow x 2)))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))))) |
(* (pow x 3) (+ 1/8 (* 7/128 (pow x 2)))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))))) |
(* (pow x 3) (+ 1/8 (* 7/128 (pow x 2)))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))))) |
(* 7/128 (pow x 5)) |
(*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 7/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 7/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 7/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* 7/128 (pow x 5)) |
(*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 7/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 7/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 7/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
1/8 |
#s(literal 1/8 binary64) |
(+ 1/8 (* 7/128 (pow x 2))) |
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))) |
(+ 1/8 (* 7/128 (pow x 2))) |
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))) |
(+ 1/8 (* 7/128 (pow x 2))) |
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))) |
(* 7/128 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 7/128 binary64)) |
(* (pow x 2) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))) |
(* (pow x 2) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))) |
(* (pow x 2) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))) |
(* 7/128 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 7/128 binary64)) |
(* (pow x 2) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))) |
(* (pow x 2) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))) |
(* (pow x 2) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))) |
(* 7/128 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 7/128 binary64)) |
(* 7/128 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 7/128 binary64)) |
(* 7/128 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 7/128 binary64)) |
(* 7/128 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 7/128 binary64)) |
(* 7/128 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 7/128 binary64)) |
(* 7/128 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 7/128 binary64)) |
(* 7/128 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 7/128 binary64)) |
(* 7/128 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 7/128 binary64)) |
(* 7/128 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 7/128 binary64)) |
(* 7/128 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 7/128 binary64)) |
(* 7/128 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 7/128 binary64)) |
(* 7/128 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 7/128 binary64)) |
x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))))) |
(/ 2 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (* -2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) (sqrt.f64 x)) (*.f64 x x)) (*.f64 (*.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)))) |
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(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 #s(literal -1 binary64)))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(*.f64 x (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))))) |
(* -1 (* (sqrt x) (sqrt -1))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(*.f64 x (*.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))))) #s(literal -1 binary64))) |
(* -21/512 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -21/512 binary64)) |
(* -21/512 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -21/512 binary64)) |
(* -21/512 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -21/512 binary64)) |
(* -21/512 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -21/512 binary64)) |
(* -21/512 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -21/512 binary64)) |
(* -21/512 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -21/512 binary64)) |
(* -21/512 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -21/512 binary64)) |
(* -21/512 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -21/512 binary64)) |
(* -21/512 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -21/512 binary64)) |
(* -21/512 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -21/512 binary64)) |
(* -21/512 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -21/512 binary64)) |
(* -21/512 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -21/512 binary64)) |
(* -5/64 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -5/64 binary64)) |
(* (pow x 2) (- (* -21/512 (pow x 2)) 5/64)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))) |
(* (pow x 2) (- (* -21/512 (pow x 2)) 5/64)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))) |
(* (pow x 2) (- (* -21/512 (pow x 2)) 5/64)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))) |
(* -21/512 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -21/512 binary64)) |
(* -1 (* (pow x 4) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 21/512 binary64) (/.f64 #s(literal 5/64 binary64) (*.f64 x x))))) |
(* -1 (* (pow x 4) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 21/512 binary64) (/.f64 #s(literal 5/64 binary64) (*.f64 x x))))) |
(* -1 (* (pow x 4) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 21/512 binary64) (/.f64 #s(literal 5/64 binary64) (*.f64 x x))))) |
(* -21/512 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -21/512 binary64)) |
(* -1 (* (pow x 4) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 21/512 binary64) (/.f64 #s(literal 5/64 binary64) (*.f64 x x))))) |
(* -1 (* (pow x 4) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 21/512 binary64) (/.f64 #s(literal 5/64 binary64) (*.f64 x x))))) |
(* -1 (* (pow x 4) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 21/512 binary64) (/.f64 #s(literal 5/64 binary64) (*.f64 x x))))) |
(* -5/64 x) |
(*.f64 x #s(literal -5/64 binary64)) |
(* x (- (* -21/512 (pow x 2)) 5/64)) |
(*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64)))) |
(* x (- (* -21/512 (pow x 2)) 5/64)) |
(*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64)))) |
(* x (- (* -21/512 (pow x 2)) 5/64)) |
(*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64)))) |
(* -21/512 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -21/512 binary64))) |
(* -1 (* (pow x 3) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x x) (neg.f64 (*.f64 x (+.f64 #s(literal 21/512 binary64) (/.f64 #s(literal 5/64 binary64) (*.f64 x x)))))) |
(* -1 (* (pow x 3) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x x) (neg.f64 (*.f64 x (+.f64 #s(literal 21/512 binary64) (/.f64 #s(literal 5/64 binary64) (*.f64 x x)))))) |
(* -1 (* (pow x 3) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x x) (neg.f64 (*.f64 x (+.f64 #s(literal 21/512 binary64) (/.f64 #s(literal 5/64 binary64) (*.f64 x x)))))) |
(* -21/512 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -21/512 binary64))) |
(* -1 (* (pow x 3) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x x) (neg.f64 (*.f64 x (+.f64 #s(literal 21/512 binary64) (/.f64 #s(literal 5/64 binary64) (*.f64 x x)))))) |
(* -1 (* (pow x 3) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x x) (neg.f64 (*.f64 x (+.f64 #s(literal 21/512 binary64) (/.f64 #s(literal 5/64 binary64) (*.f64 x x)))))) |
(* -1 (* (pow x 3) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x x) (neg.f64 (*.f64 x (+.f64 #s(literal 21/512 binary64) (/.f64 #s(literal 5/64 binary64) (*.f64 x x)))))) |
Compiled 30974 to 2875 computations (90.7% saved)
13 alts after pruning (7 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1044 | 7 | 1051 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 4 | 4 |
| Total | 1046 | 13 | 1059 |
| Status | Accuracy | Program |
|---|---|---|
| 7.7% | (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))))))) | |
| 7.7% | (/.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))))))) | |
| ▶ | 7.8% | (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 x (-.f64 #s(literal 1 binary64) x)))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))))))) |
| ✓ | 7.8% | (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))))))) |
| ▶ | 100.0% | (/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
| ▶ | 99.9% | (/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -5/64 binary64)))))) |
| ▶ | 99.9% | (/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))))))) |
| ▶ | 99.8% | (/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) |
| ✓ | 7.7% | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| ✓ | 99.9% | (+.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))) (*.f64 x (*.f64 x x))) x) |
| ✓ | 99.9% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))))))) |
| ✓ | 99.8% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
| ✓ | 99.5% | x |
Compiled 562 to 304 computations (45.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 640 | (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 x (-.f64 #s(literal 1 binary64) x)))) |
| ✓ | cost-diff | 896 | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 x (-.f64 #s(literal 1 binary64) x))))) |
| ✓ | cost-diff | 1152 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 x (-.f64 #s(literal 1 binary64) x)))))) |
| ✓ | cost-diff | 1152 | (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 x (-.f64 #s(literal 1 binary64) x)))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))))))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64)))))))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))))))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -5/64 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -5/64 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -5/64 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) |
| ✓ | cost-diff | 0 | (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
| 2736× | *-lowering-*.f32 |
| 2736× | *-lowering-*.f64 |
| 1582× | neg-lowering-neg.f64 |
| 1582× | neg-lowering-neg.f32 |
| 1448× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 397 |
| 1 | 108 | 320 |
| 2 | 309 | 309 |
| 3 | 999 | 309 |
| 4 | 4402 | 309 |
| 0 | 8147 | 309 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x 2) (+ (pow (+ 1 x) 1/2) (sqrt (- 1 x)))) |
(* x 2) |
x |
2 |
(+ (pow (+ 1 x) 1/2) (sqrt (- 1 x))) |
(pow (+ 1 x) 1/2) |
(+ 1 x) |
1 |
1/2 |
(sqrt (- 1 x)) |
(- 1 x) |
(/ (* x 2) (+ 2 (* (* x x) -1/4))) |
(* x 2) |
x |
2 |
(+ 2 (* (* x x) -1/4)) |
(* (* x x) -1/4) |
(* x x) |
-1/4 |
(/ (* x 2) (+ 2 (* (* x x) (+ -1/4 (* (* x x) -5/64))))) |
(* x 2) |
x |
2 |
(+ 2 (* (* x x) (+ -1/4 (* (* x x) -5/64)))) |
(* (* x x) (+ -1/4 (* (* x x) -5/64))) |
(* x x) |
(+ -1/4 (* (* x x) -5/64)) |
-1/4 |
(* (* x x) -5/64) |
-5/64 |
(/ (* x 2) (+ 2 (* (* x x) (+ -1/4 (* x (* x (+ -5/64 (* (* x x) -21/512)))))))) |
(* x 2) |
x |
2 |
(+ 2 (* (* x x) (+ -1/4 (* x (* x (+ -5/64 (* (* x x) -21/512))))))) |
(* (* x x) (+ -1/4 (* x (* x (+ -5/64 (* (* x x) -21/512)))))) |
(* x x) |
(+ -1/4 (* x (* x (+ -5/64 (* (* x x) -21/512))))) |
-1/4 |
(* x (* x (+ -5/64 (* (* x x) -21/512)))) |
(* x (+ -5/64 (* (* x x) -21/512))) |
(+ -5/64 (* (* x x) -21/512)) |
-5/64 |
(* (* x x) -21/512) |
-21/512 |
(/ (+ 1 (/ 1 (/ (+ x (- 1 x)) (* (+ x (- 1 x)) (- x (- 1 x)))))) (+ 2 (* (* x x) (+ -1/4 (* x (* x (+ -5/64 (* (* x x) -21/512)))))))) |
(+ 1 (/ 1 (/ (+ x (- 1 x)) (* (+ x (- 1 x)) (- x (- 1 x)))))) |
1 |
(/ 1 (/ (+ x (- 1 x)) (* (+ x (- 1 x)) (- x (- 1 x))))) |
(/ (+ x (- 1 x)) (* (+ x (- 1 x)) (- x (- 1 x)))) |
(+ x (- 1 x)) |
x |
(- 1 x) |
(* (+ x (- 1 x)) (- x (- 1 x))) |
(- x (- 1 x)) |
(+ 2 (* (* x x) (+ -1/4 (* x (* x (+ -5/64 (* (* x x) -21/512))))))) |
2 |
(* (* x x) (+ -1/4 (* x (* x (+ -5/64 (* (* x x) -21/512)))))) |
(* x x) |
(+ -1/4 (* x (* x (+ -5/64 (* (* x x) -21/512))))) |
-1/4 |
(* x (* x (+ -5/64 (* (* x x) -21/512)))) |
(* x (+ -5/64 (* (* x x) -21/512))) |
(+ -5/64 (* (* x x) -21/512)) |
-5/64 |
(* (* x x) -21/512) |
-21/512 |
| Outputs |
|---|
(/ (* x 2) (+ (pow (+ 1 x) 1/2) (sqrt (- 1 x)))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(* x 2) |
(*.f64 x #s(literal 2 binary64)) |
x |
2 |
#s(literal 2 binary64) |
(+ (pow (+ 1 x) 1/2) (sqrt (- 1 x))) |
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(pow (+ 1 x) 1/2) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
1/2 |
#s(literal 1/2 binary64) |
(sqrt (- 1 x)) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(/ (* x 2) (+ 2 (* (* x x) -1/4))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) |
(* x 2) |
(*.f64 x #s(literal 2 binary64)) |
x |
2 |
#s(literal 2 binary64) |
(+ 2 (* (* x x) -1/4)) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) |
(* (* x x) -1/4) |
(*.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(* x x) |
(*.f64 x x) |
-1/4 |
#s(literal -1/4 binary64) |
(/ (* x 2) (+ 2 (* (* x x) (+ -1/4 (* (* x x) -5/64))))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -5/64 binary64)))))) |
(* x 2) |
(*.f64 x #s(literal 2 binary64)) |
x |
2 |
#s(literal 2 binary64) |
(+ 2 (* (* x x) (+ -1/4 (* (* x x) -5/64)))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -5/64 binary64))))) |
(* (* x x) (+ -1/4 (* (* x x) -5/64))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -5/64 binary64)))) |
(* x x) |
(*.f64 x x) |
(+ -1/4 (* (* x x) -5/64)) |
(+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -5/64 binary64))) |
-1/4 |
#s(literal -1/4 binary64) |
(* (* x x) -5/64) |
(*.f64 (*.f64 x x) #s(literal -5/64 binary64)) |
-5/64 |
#s(literal -5/64 binary64) |
(/ (* x 2) (+ 2 (* (* x x) (+ -1/4 (* x (* x (+ -5/64 (* (* x x) -21/512)))))))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))))))) |
(* x 2) |
(*.f64 x #s(literal 2 binary64)) |
x |
2 |
#s(literal 2 binary64) |
(+ 2 (* (* x x) (+ -1/4 (* x (* x (+ -5/64 (* (* x x) -21/512))))))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64)))))))) |
(* (* x x) (+ -1/4 (* x (* x (+ -5/64 (* (* x x) -21/512)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))))) |
(* x x) |
(*.f64 x x) |
(+ -1/4 (* x (* x (+ -5/64 (* (* x x) -21/512))))) |
(+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64)))))) |
-1/4 |
#s(literal -1/4 binary64) |
(* x (* x (+ -5/64 (* (* x x) -21/512)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))) |
(* x (+ -5/64 (* (* x x) -21/512))) |
(*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64)))) |
(+ -5/64 (* (* x x) -21/512)) |
(+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))) |
-5/64 |
#s(literal -5/64 binary64) |
(* (* x x) -21/512) |
(*.f64 (*.f64 x x) #s(literal -21/512 binary64)) |
-21/512 |
#s(literal -21/512 binary64) |
(/ (+ 1 (/ 1 (/ (+ x (- 1 x)) (* (+ x (- 1 x)) (- x (- 1 x)))))) (+ 2 (* (* x x) (+ -1/4 (* x (* x (+ -5/64 (* (* x x) -21/512)))))))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))))))) |
(+ 1 (/ 1 (/ (+ x (- 1 x)) (* (+ x (- 1 x)) (- x (- 1 x)))))) |
(*.f64 x #s(literal 2 binary64)) |
1 |
#s(literal 1 binary64) |
(/ 1 (/ (+ x (- 1 x)) (* (+ x (- 1 x)) (- x (- 1 x))))) |
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2 binary64))) |
(/ (+ x (- 1 x)) (* (+ x (- 1 x)) (- x (- 1 x)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2 binary64)))) |
(+ x (- 1 x)) |
#s(literal 1 binary64) |
x |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(* (+ x (- 1 x)) (- x (- 1 x))) |
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2 binary64))) |
(- x (- 1 x)) |
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2 binary64))) |
(+ 2 (* (* x x) (+ -1/4 (* x (* x (+ -5/64 (* (* x x) -21/512))))))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64)))))))) |
2 |
#s(literal 2 binary64) |
(* (* x x) (+ -1/4 (* x (* x (+ -5/64 (* (* x x) -21/512)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))))) |
(* x x) |
(*.f64 x x) |
(+ -1/4 (* x (* x (+ -5/64 (* (* x x) -21/512))))) |
(+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64)))))) |
-1/4 |
#s(literal -1/4 binary64) |
(* x (* x (+ -5/64 (* (* x x) -21/512)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))) |
(* x (+ -5/64 (* (* x x) -21/512))) |
(*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64)))) |
(+ -5/64 (* (* x x) -21/512)) |
(+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))) |
-5/64 |
#s(literal -5/64 binary64) |
(* (* x x) -21/512) |
(*.f64 (*.f64 x x) #s(literal -21/512 binary64)) |
-21/512 |
#s(literal -21/512 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal -21/512 binary64)) |
| ✓ | accuracy | 7.9% | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 x (-.f64 #s(literal 1 binary64) x)))))) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))))) |
| ✓ | accuracy | 99.8% | (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal -21/512 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -5/64 binary64)))))) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -5/64 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal -5/64 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
| 167.0ms | 101× | 2 | valid |
| 142.0ms | 135× | 1 | valid |
| 45.0ms | 15× | 3 | valid |
| 2.0ms | 5× | 0 | valid |
Compiled 470 to 39 computations (91.7% saved)
ival-div: 58.0ms (27% of total)ival-mult: 55.0ms (25.6% of total)backward-pass: 36.0ms (16.8% of total)ival-add: 34.0ms (15.8% of total)ival-pow: 18.0ms (8.4% of total)ival-sub: 7.0ms (3.3% of total)ival-sqrt: 5.0ms (2.3% of total)const: 2.0ms (0.9% of total)| Inputs |
|---|
#<alt (/ (* x 2) (+ (pow (+ 1 x) 1/2) (sqrt (- 1 x))))> |
#<alt (* x 2)> |
#<alt (+ (pow (+ 1 x) 1/2) (sqrt (- 1 x)))> |
#<alt (pow (+ 1 x) 1/2)> |
#<alt (/ (* x 2) (+ 2 (* (* x x) -1/4)))> |
#<alt (+ 2 (* (* x x) -1/4))> |
#<alt (* (* x x) -1/4)> |
#<alt (/ (* x 2) (+ 2 (* (* x x) (+ -1/4 (* (* x x) -5/64)))))> |
#<alt (+ 2 (* (* x x) (+ -1/4 (* (* x x) -5/64))))> |
#<alt (* (* x x) (+ -1/4 (* (* x x) -5/64)))> |
#<alt (/ (* x 2) (+ 2 (* (* x x) (+ -1/4 (* x (* x (+ -5/64 (* (* x x) -21/512))))))))> |
#<alt (+ 2 (* (* x x) (+ -1/4 (* x (* x (+ -5/64 (* (* x x) -21/512)))))))> |
#<alt (* (* x x) (+ -1/4 (* x (* x (+ -5/64 (* (* x x) -21/512))))))> |
#<alt (/ (+ 1 (/ 1 (/ (+ x (- 1 x)) (* (+ x (- 1 x)) (- x (- 1 x)))))) (+ 2 (* (* x x) (+ -1/4 (* x (* x (+ -5/64 (* (* x x) -21/512))))))))> |
#<alt (+ 1 (/ 1 (/ (+ x (- 1 x)) (* (+ x (- 1 x)) (- x (- 1 x))))))> |
#<alt (/ 1 (/ (+ x (- 1 x)) (* (+ x (- 1 x)) (- x (- 1 x)))))> |
#<alt (/ (+ x (- 1 x)) (* (+ x (- 1 x)) (- x (- 1 x))))> |
#<alt (sqrt (- 1 x))> |
#<alt (* x x)> |
#<alt (* (* x x) -5/64)> |
#<alt (* (* x x) -21/512)> |
#<alt (* x (* x (+ -5/64 (* (* x x) -21/512))))> |
#<alt (* x (+ -5/64 (* (* x x) -21/512)))> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* 1/8 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))> |
#<alt (/ 2 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))> |
#<alt (+ (* -2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))> |
#<alt (- (+ (* -1 (/ (+ (* -2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3))) (* 2 (/ (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (pow x 4))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) (* 2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))))> |
#<alt (- (+ (* -1 (/ (+ (* -2 (/ (* (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3))) (* 2 (/ (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))) (* 2 (/ (+ (* 1/16 (sqrt (pow x 5))) (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 5))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (pow x 6))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) (+ (* -2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) 2) (* (pow x 4) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3)))) (+ (* 2 (/ (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (* (pow x 4) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (* 2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))))))> |
#<alt (/ -2 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))> |
#<alt (- (* 2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) (* (pow x 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 2 (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (- (* -1 (/ (+ (* -2 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (* 2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (pow x 4))) (+ (* -2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) (* (pow x 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 2 (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))> |
#<alt (- (* -1 (/ (+ (* -2 (/ (+ (* 1/16 (* (sqrt (pow x 5)) (sqrt -1))) (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 4))))) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (+ (* -1 (/ (* (+ (* -2 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (* 2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1))))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 2 (/ (* (+ (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1))))) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (pow x 6))) (+ (* -2 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (* (pow x 4) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (+ (* -2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) (* (pow x 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (+ (* 2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) 2) (* (pow x 4) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (* 2 (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt 2> |
#<alt (+ 2 (* -1/4 (pow x 2)))> |
#<alt (+ 2 (* (pow x 2) (- (* -5/64 (pow x 2)) 1/4)))> |
#<alt (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -21/512 (pow x 2)) 5/64)) 1/4)))> |
#<alt (* x (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))))> |
#<alt (* -1 (* x (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))> |
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))> |
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (+ 1 (* x (+ 1/2 (* -1/8 x))))> |
#<alt (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))> |
#<alt (sqrt x)> |
#<alt (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/8 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/8 (* 1/64 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/64 (* 1/512 (pow x 2))))))))> |
#<alt (/ -8 x)> |
#<alt (* -1 (/ (+ 8 (* 64 (/ 1 (pow x 2)))) x))> |
#<alt (/ (- (* -1 (/ (+ 64 (* 512 (/ 1 (pow x 2)))) (pow x 2))) 8) x)> |
#<alt (/ (- (* -1 (/ (+ 512 (* 4096 (/ 1 (pow x 2)))) (pow x 4))) (+ 8 (* 64 (/ 1 (pow x 2))))) x)> |
#<alt (/ -8 x)> |
#<alt (* -1 (/ (+ 8 (* 64 (/ 1 (pow x 2)))) x))> |
#<alt (* -1 (/ (+ 8 (+ (* 64 (/ 1 (pow x 2))) (/ 512 (pow x 4)))) x))> |
#<alt (* -1 (/ (+ 8 (+ (* 64 (/ 1 (pow x 2))) (+ (* 4096 (/ 1 (pow x 6))) (/ 512 (pow x 4))))) x))> |
#<alt 2> |
#<alt (+ 2 (* -1/4 (pow x 2)))> |
#<alt (+ 2 (* -1/4 (pow x 2)))> |
#<alt (+ 2 (* -1/4 (pow x 2)))> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/4))> |
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/4))> |
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/4))> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/4))> |
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/4))> |
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/4))> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* -1/4 (pow x 2))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/8 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 3/256 (pow x 2))))))))> |
#<alt (/ -128/5 (pow x 3))> |
#<alt (/ (- (* 2048/25 (/ 1 (pow x 2))) 128/5) (pow x 3))> |
#<alt (/ (- (* 2048/25 (/ 1 (pow x 2))) (+ 128/5 (/ 114688/125 (pow x 4)))) (pow x 3))> |
#<alt (/ (- (+ (* 2048/25 (/ 1 (pow x 2))) (* 3145728/625 (/ 1 (pow x 6)))) (+ 128/5 (/ 114688/125 (pow x 4)))) (pow x 3))> |
#<alt (/ -128/5 (pow x 3))> |
#<alt (* -1 (/ (- 128/5 (* 2048/25 (/ 1 (pow x 2)))) (pow x 3)))> |
#<alt (* -1 (/ (- (+ 128/5 (/ 114688/125 (pow x 4))) (* 2048/25 (/ 1 (pow x 2)))) (pow x 3)))> |
#<alt (* -1 (/ (- (+ 128/5 (/ 114688/125 (pow x 4))) (+ (* 2048/25 (/ 1 (pow x 2))) (* 3145728/625 (/ 1 (pow x 6))))) (pow x 3)))> |
#<alt 2> |
#<alt (+ 2 (* -1/4 (pow x 2)))> |
#<alt (+ 2 (* (pow x 2) (- (* -5/64 (pow x 2)) 1/4)))> |
#<alt (+ 2 (* (pow x 2) (- (* -5/64 (pow x 2)) 1/4)))> |
#<alt (* -5/64 (pow x 4))> |
#<alt (* -1 (* (pow x 4) (+ 5/64 (* 1/4 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (- (/ 2 (pow x 4)) (+ 5/64 (* 1/4 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (- (/ 2 (pow x 4)) (+ 5/64 (* 1/4 (/ 1 (pow x 2))))))> |
#<alt (* -5/64 (pow x 4))> |
#<alt (* -1 (* (pow x 4) (+ 5/64 (* 1/4 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (- (/ 2 (pow x 4)) (+ 5/64 (* 1/4 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (- (/ 2 (pow x 4)) (+ 5/64 (* 1/4 (/ 1 (pow x 2))))))> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* (pow x 2) (- (* -5/64 (pow x 2)) 1/4))> |
#<alt (* (pow x 2) (- (* -5/64 (pow x 2)) 1/4))> |
#<alt (* (pow x 2) (- (* -5/64 (pow x 2)) 1/4))> |
#<alt (* -5/64 (pow x 4))> |
#<alt (* -1 (* (pow x 4) (+ 5/64 (* 1/4 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 4) (+ 5/64 (* 1/4 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 4) (+ 5/64 (* 1/4 (/ 1 (pow x 2))))))> |
#<alt (* -5/64 (pow x 4))> |
#<alt (* -1 (* (pow x 4) (+ 5/64 (* 1/4 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 4) (+ 5/64 (* 1/4 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 4) (+ 5/64 (* 1/4 (/ 1 (pow x 2))))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/8 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))> |
#<alt (/ -1024/21 (pow x 5))> |
#<alt (/ (- (* 40960/441 (/ 1 (pow x 2))) 1024/21) (pow x 5))> |
#<alt (/ (- (+ (* 40960/441 (/ 1 (pow x 2))) (/ 1114112/9261 (pow x 4))) 1024/21) (pow x 5))> |
#<alt (/ (- (+ (* 40960/441 (/ 1 (pow x 2))) (/ 1114112/9261 (pow x 4))) (+ 1024/21 (* 617086976/194481 (/ 1 (pow x 6))))) (pow x 5))> |
#<alt (/ -1024/21 (pow x 5))> |
#<alt (* -1 (/ (- 1024/21 (* 40960/441 (/ 1 (pow x 2)))) (pow x 5)))> |
#<alt (* -1 (/ (+ 1024/21 (* -1 (/ (+ 40960/441 (* 1114112/9261 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 5)))> |
#<alt (* -1 (/ (- (+ 1024/21 (* 617086976/194481 (/ 1 (pow x 6)))) (+ (* 40960/441 (/ 1 (pow x 2))) (/ 1114112/9261 (pow x 4)))) (pow x 5)))> |
#<alt 2> |
#<alt (+ 2 (* -1/4 (pow x 2)))> |
#<alt (+ 2 (* (pow x 2) (- (* -5/64 (pow x 2)) 1/4)))> |
#<alt (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -21/512 (pow x 2)) 5/64)) 1/4)))> |
#<alt (* -21/512 (pow x 6))> |
#<alt (* -1 (* (pow x 6) (+ 21/512 (* 5/64 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 5/64 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 21/512))> |
#<alt (* (pow x 6) (- (* 2 (/ 1 (pow x 6))) (+ 21/512 (+ (/ 1/4 (pow x 4)) (* 5/64 (/ 1 (pow x 2)))))))> |
#<alt (* -21/512 (pow x 6))> |
#<alt (* -1 (* (pow x 6) (+ 21/512 (* 5/64 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 5/64 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 21/512))> |
#<alt (* (pow x 6) (- (* 2 (/ 1 (pow x 6))) (+ 21/512 (+ (/ 1/4 (pow x 4)) (* 5/64 (/ 1 (pow x 2)))))))> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* (pow x 2) (- (* -5/64 (pow x 2)) 1/4))> |
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -21/512 (pow x 2)) 5/64)) 1/4))> |
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -21/512 (pow x 2)) 5/64)) 1/4))> |
#<alt (* -21/512 (pow x 6))> |
#<alt (* -1 (* (pow x 6) (+ 21/512 (* 5/64 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 5/64 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 21/512))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 5/64 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 21/512))> |
#<alt (* -21/512 (pow x 6))> |
#<alt (* -1 (* (pow x 6) (+ 21/512 (* 5/64 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 5/64 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 21/512))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 5/64 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 21/512))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/8 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))> |
#<alt (/ -1024/21 (pow x 5))> |
#<alt (/ (- (* 40960/441 (/ 1 (pow x 2))) 1024/21) (pow x 5))> |
#<alt (/ (- (+ (* 40960/441 (/ 1 (pow x 2))) (/ 1114112/9261 (pow x 4))) 1024/21) (pow x 5))> |
#<alt (/ (- (+ (* 40960/441 (/ 1 (pow x 2))) (/ 1114112/9261 (pow x 4))) (+ 1024/21 (* 617086976/194481 (/ 1 (pow x 6))))) (pow x 5))> |
#<alt (/ -1024/21 (pow x 5))> |
#<alt (* -1 (/ (- 1024/21 (* 40960/441 (/ 1 (pow x 2)))) (pow x 5)))> |
#<alt (* -1 (/ (+ 1024/21 (* -1 (/ (+ 40960/441 (* 1114112/9261 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 5)))> |
#<alt (* -1 (/ (- (+ 1024/21 (* 617086976/194481 (/ 1 (pow x 6)))) (+ (* 40960/441 (/ 1 (pow x 2))) (/ 1114112/9261 (pow x 4)))) (pow x 5)))> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt -1> |
#<alt (- (* 2 x) 1)> |
#<alt (- (* 2 x) 1)> |
#<alt (- (* 2 x) 1)> |
#<alt (* 2 x)> |
#<alt (* x (- 2 (/ 1 x)))> |
#<alt (* x (- 2 (/ 1 x)))> |
#<alt (* x (- 2 (/ 1 x)))> |
#<alt (* 2 x)> |
#<alt (* -1 (* x (- (/ 1 x) 2)))> |
#<alt (* -1 (* x (- (/ 1 x) 2)))> |
#<alt (* -1 (* x (- (/ 1 x) 2)))> |
#<alt -1> |
#<alt (- (* -2 x) 1)> |
#<alt (- (* x (- (* -4 x) 2)) 1)> |
#<alt (- (* x (- (* x (- (* -8 x) 4)) 2)) 1)> |
#<alt (/ 1/2 x)> |
#<alt (/ (+ 1/2 (* 1/4 (/ 1 x))) x)> |
#<alt (/ (+ 1/2 (+ (/ 1/8 (pow x 2)) (* 1/4 (/ 1 x)))) x)> |
#<alt (/ (+ 1/2 (+ (/ 1/8 (pow x 2)) (+ (* 1/4 (/ 1 x)) (* 1/16 (/ 1 (pow x 3)))))) x)> |
#<alt (/ 1/2 x)> |
#<alt (/ (+ 1/2 (* 1/4 (/ 1 x))) x)> |
#<alt (* -1 (/ (- (* -1 (/ (+ 1/4 (* 1/8 (/ 1 x))) x)) 1/2) x))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 1/4 (+ (/ 1/16 (pow x 2)) (* 1/8 (/ 1 x)))) x)) 1/2) x))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 x))> |
#<alt (+ 1 (* x (- (* -1/8 x) 1/2)))> |
#<alt (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))> |
#<alt (* (sqrt x) (sqrt -1))> |
#<alt (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))> |
#<alt (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))> |
#<alt (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))> |
#<alt (* -1 (* (sqrt x) (sqrt -1)))> |
#<alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))> |
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))> |
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* -5/64 (pow x 2))> |
#<alt (* -5/64 (pow x 2))> |
#<alt (* -5/64 (pow x 2))> |
#<alt (* -5/64 (pow x 2))> |
#<alt (* -5/64 (pow x 2))> |
#<alt (* -5/64 (pow x 2))> |
#<alt (* -5/64 (pow x 2))> |
#<alt (* -5/64 (pow x 2))> |
#<alt (* -5/64 (pow x 2))> |
#<alt (* -5/64 (pow x 2))> |
#<alt (* -5/64 (pow x 2))> |
#<alt (* -5/64 (pow x 2))> |
#<alt (* -21/512 (pow x 2))> |
#<alt (* -21/512 (pow x 2))> |
#<alt (* -21/512 (pow x 2))> |
#<alt (* -21/512 (pow x 2))> |
#<alt (* -21/512 (pow x 2))> |
#<alt (* -21/512 (pow x 2))> |
#<alt (* -21/512 (pow x 2))> |
#<alt (* -21/512 (pow x 2))> |
#<alt (* -21/512 (pow x 2))> |
#<alt (* -21/512 (pow x 2))> |
#<alt (* -21/512 (pow x 2))> |
#<alt (* -21/512 (pow x 2))> |
#<alt (* -5/64 (pow x 2))> |
#<alt (* (pow x 2) (- (* -21/512 (pow x 2)) 5/64))> |
#<alt (* (pow x 2) (- (* -21/512 (pow x 2)) 5/64))> |
#<alt (* (pow x 2) (- (* -21/512 (pow x 2)) 5/64))> |
#<alt (* -21/512 (pow x 4))> |
#<alt (* -1 (* (pow x 4) (+ 21/512 (* 5/64 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 4) (+ 21/512 (* 5/64 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 4) (+ 21/512 (* 5/64 (/ 1 (pow x 2))))))> |
#<alt (* -21/512 (pow x 4))> |
#<alt (* -1 (* (pow x 4) (+ 21/512 (* 5/64 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 4) (+ 21/512 (* 5/64 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 4) (+ 21/512 (* 5/64 (/ 1 (pow x 2))))))> |
#<alt (* -5/64 x)> |
#<alt (* x (- (* -21/512 (pow x 2)) 5/64))> |
#<alt (* x (- (* -21/512 (pow x 2)) 5/64))> |
#<alt (* x (- (* -21/512 (pow x 2)) 5/64))> |
#<alt (* -21/512 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (+ 21/512 (* 5/64 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 21/512 (* 5/64 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 21/512 (* 5/64 (/ 1 (pow x 2))))))> |
#<alt (* -21/512 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (+ 21/512 (* 5/64 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 21/512 (* 5/64 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 21/512 (* 5/64 (/ 1 (pow x 2))))))> |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (/ (* x 2) (+ (pow (+ 1 x) 1/2) (sqrt (- 1 x)))) |
| 0.0ms | x | @ | inf | (/ (* x 2) (+ 2 (* (* x x) (+ -1/4 (* (* x x) -5/64))))) |
| 0.0ms | x | @ | inf | (/ (* x 2) (+ 2 (* (* x x) -1/4))) |
| 0.0ms | x | @ | -inf | (/ (* x 2) (+ (pow (+ 1 x) 1/2) (sqrt (- 1 x)))) |
| 0.0ms | x | @ | inf | (* (* x x) -1/4) |
| 1× | batch-egg-rewrite |
| 2876× | fma-lowering-fma.f32 |
| 2876× | fma-lowering-fma.f64 |
| 2764× | *-lowering-*.f32 |
| 2764× | *-lowering-*.f64 |
| 1814× | pow-lowering-pow.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 257 |
| 1 | 286 | 187 |
| 2 | 2734 | 183 |
| 0 | 8439 | 183 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x 2) (+ (pow (+ 1 x) 1/2) (sqrt (- 1 x)))) |
(* x 2) |
(+ (pow (+ 1 x) 1/2) (sqrt (- 1 x))) |
(pow (+ 1 x) 1/2) |
(/ (* x 2) (+ 2 (* (* x x) -1/4))) |
(+ 2 (* (* x x) -1/4)) |
(* (* x x) -1/4) |
(/ (* x 2) (+ 2 (* (* x x) (+ -1/4 (* (* x x) -5/64))))) |
(+ 2 (* (* x x) (+ -1/4 (* (* x x) -5/64)))) |
(* (* x x) (+ -1/4 (* (* x x) -5/64))) |
(/ (* x 2) (+ 2 (* (* x x) (+ -1/4 (* x (* x (+ -5/64 (* (* x x) -21/512)))))))) |
(+ 2 (* (* x x) (+ -1/4 (* x (* x (+ -5/64 (* (* x x) -21/512))))))) |
(* (* x x) (+ -1/4 (* x (* x (+ -5/64 (* (* x x) -21/512)))))) |
(/ (+ 1 (/ 1 (/ (+ x (- 1 x)) (* (+ x (- 1 x)) (- x (- 1 x)))))) (+ 2 (* (* x x) (+ -1/4 (* x (* x (+ -5/64 (* (* x x) -21/512)))))))) |
(+ 1 (/ 1 (/ (+ x (- 1 x)) (* (+ x (- 1 x)) (- x (- 1 x)))))) |
(/ 1 (/ (+ x (- 1 x)) (* (+ x (- 1 x)) (- x (- 1 x))))) |
(/ (+ x (- 1 x)) (* (+ x (- 1 x)) (- x (- 1 x)))) |
(sqrt (- 1 x)) |
(* x x) |
(* (* x x) -5/64) |
(* (* x x) -21/512) |
(* x (* x (+ -5/64 (* (* x x) -21/512)))) |
(* x (+ -5/64 (* (* x x) -21/512))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))) |
(neg.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (*.f64 x #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (*.f64 x #s(literal 2 binary64))))) |
(/.f64 (*.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (*.f64 x #s(literal -2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 x (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))) |
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(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 x (-.f64 #s(literal 1 binary64) x))) (+.f64 x (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (/.f64 (+.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x (-.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))) (+.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (+.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x)))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x))))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x)))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) |
(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 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 x (*.f64 x #s(literal -5/64 binary64))) |
(*.f64 (*.f64 x x) #s(literal -5/64 binary64)) |
(*.f64 #s(literal -5/64 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal -5/64 binary64)) x) |
(*.f64 x (*.f64 x #s(literal -21/512 binary64))) |
(*.f64 (*.f64 x x) #s(literal -21/512 binary64)) |
(*.f64 #s(literal -21/512 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal -21/512 binary64)) x) |
(+.f64 (*.f64 (*.f64 x x) #s(literal -5/64 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal -5/64 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -21/512 binary64)))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal -5/64 binary64)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -21/512 binary64))) x)) |
(+.f64 (*.f64 (*.f64 x x) #s(literal -5/64 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -21/512 binary64)) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))) (*.f64 (*.f64 x x) #s(literal -5/64 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -21/512 binary64)) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -5/64 binary64))) |
(fma.f64 x (*.f64 x #s(literal -5/64 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))) |
(fma.f64 x (*.f64 x #s(literal -5/64 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -21/512 binary64)))) |
(fma.f64 x (*.f64 x #s(literal -5/64 binary64)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -21/512 binary64))) x)) |
(fma.f64 x (*.f64 x #s(literal -5/64 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -21/512 binary64)) (*.f64 x x))) |
(fma.f64 (*.f64 x x) #s(literal -5/64 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))) |
(fma.f64 (*.f64 x x) #s(literal -5/64 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -21/512 binary64)))) |
(fma.f64 (*.f64 x x) #s(literal -5/64 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -21/512 binary64))) x)) |
(fma.f64 (*.f64 x x) #s(literal -5/64 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -21/512 binary64)) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -21/512 binary64)) (*.f64 (*.f64 x x) #s(literal -5/64 binary64))) |
(fma.f64 #s(literal -5/64 binary64) (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))) |
(fma.f64 #s(literal -5/64 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -21/512 binary64)))) |
(fma.f64 #s(literal -5/64 binary64) (*.f64 x x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -21/512 binary64))) x)) |
(fma.f64 #s(literal -5/64 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal -21/512 binary64)) (*.f64 x x))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal -21/512 binary64)) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -5/64 binary64))) |
(fma.f64 (*.f64 x #s(literal -5/64 binary64)) x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))) |
(fma.f64 (*.f64 x #s(literal -5/64 binary64)) x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -21/512 binary64)))) |
(fma.f64 (*.f64 x #s(literal -5/64 binary64)) x (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -21/512 binary64))) x)) |
(fma.f64 (*.f64 x #s(literal -5/64 binary64)) x (*.f64 (*.f64 (*.f64 x x) #s(literal -21/512 binary64)) (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -125/262144 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -9261/134217728 binary64))))) (+.f64 #s(literal 25/4096 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -21/512 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -21/512 binary64)) #s(literal -5/64 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 25/4096 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 441/262144 binary64)))) (-.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64)))) |
(*.f64 (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64)))) x) |
(+.f64 (*.f64 x #s(literal -5/64 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -21/512 binary64)))) |
(+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -21/512 binary64))) (*.f64 x #s(literal -5/64 binary64))) |
(fma.f64 x #s(literal -5/64 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -21/512 binary64)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -21/512 binary64)) (*.f64 x #s(literal -5/64 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -21/512 binary64)) (*.f64 x #s(literal -5/64 binary64))) |
(fma.f64 #s(literal -5/64 binary64) x (*.f64 x (*.f64 (*.f64 x x) #s(literal -21/512 binary64)))) |
(fma.f64 #s(literal -21/512 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -5/64 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal -21/512 binary64)) x (*.f64 x #s(literal -5/64 binary64))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -21/512 binary64) (*.f64 x #s(literal -5/64 binary64))) |
(fma.f64 (*.f64 x #s(literal -21/512 binary64)) (*.f64 x x) (*.f64 x #s(literal -5/64 binary64))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -125/262144 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -9261/134217728 binary64))))) (+.f64 (*.f64 (*.f64 x #s(literal -5/64 binary64)) (*.f64 x #s(literal -5/64 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -21/512 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -21/512 binary64)))) (*.f64 (*.f64 x #s(literal -5/64 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal -5/64 binary64)) (*.f64 x #s(literal -5/64 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -21/512 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))) (-.f64 (*.f64 x #s(literal -5/64 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))) |
(/.f64 (*.f64 x (+.f64 #s(literal -125/262144 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -9261/134217728 binary64))))) (+.f64 #s(literal 25/4096 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -21/512 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -21/512 binary64)) #s(literal -5/64 binary64))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 25/4096 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 441/262144 binary64)))) (-.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal -125/262144 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -9261/134217728 binary64)))) x) (+.f64 #s(literal 25/4096 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -21/512 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -21/512 binary64)) #s(literal -5/64 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 25/4096 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 441/262144 binary64))) x) (-.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64)))) |
(*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64)))) |
(*.f64 (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))) x) |
| 1× | egg-herbie |
| 4642× | *-lowering-*.f32 |
| 4642× | *-lowering-*.f64 |
| 3488× | +-lowering-+.f64 |
| 3488× | +-lowering-+.f32 |
| 1198× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 497 | 3661 |
| 1 | 1614 | 3088 |
| 2 | 6161 | 3029 |
| 0 | 8075 | 3029 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))) |
(/ 2 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(+ (* -2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(- (+ (* -1 (/ (+ (* -2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3))) (* 2 (/ (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (pow x 4))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) (* 2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) |
(- (+ (* -1 (/ (+ (* -2 (/ (* (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3))) (* 2 (/ (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))) (* 2 (/ (+ (* 1/16 (sqrt (pow x 5))) (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 5))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (pow x 6))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) (+ (* -2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) 2) (* (pow x 4) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3)))) (+ (* 2 (/ (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (* (pow x 4) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (* 2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))))) |
(/ -2 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(- (* 2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) (* (pow x 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 2 (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(- (* -1 (/ (+ (* -2 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (* 2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (pow x 4))) (+ (* -2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) (* (pow x 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 2 (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(- (* -1 (/ (+ (* -2 (/ (+ (* 1/16 (* (sqrt (pow x 5)) (sqrt -1))) (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 4))))) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (+ (* -1 (/ (* (+ (* -2 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (* 2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1))))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 2 (/ (* (+ (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1))))) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (pow x 6))) (+ (* -2 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (* (pow x 4) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (+ (* -2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) (* (pow x 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (+ (* 2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) 2) (* (pow x 4) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (* 2 (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
2 |
(+ 2 (* -1/4 (pow x 2))) |
(+ 2 (* (pow x 2) (- (* -5/64 (pow x 2)) 1/4))) |
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -21/512 (pow x 2)) 5/64)) 1/4))) |
(* x (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))) |
(* -1 (* x (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 1/64 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/64 (* 1/512 (pow x 2)))))))) |
(/ -8 x) |
(* -1 (/ (+ 8 (* 64 (/ 1 (pow x 2)))) x)) |
(/ (- (* -1 (/ (+ 64 (* 512 (/ 1 (pow x 2)))) (pow x 2))) 8) x) |
(/ (- (* -1 (/ (+ 512 (* 4096 (/ 1 (pow x 2)))) (pow x 4))) (+ 8 (* 64 (/ 1 (pow x 2))))) x) |
(/ -8 x) |
(* -1 (/ (+ 8 (* 64 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (+ 8 (+ (* 64 (/ 1 (pow x 2))) (/ 512 (pow x 4)))) x)) |
(* -1 (/ (+ 8 (+ (* 64 (/ 1 (pow x 2))) (+ (* 4096 (/ 1 (pow x 6))) (/ 512 (pow x 4))))) x)) |
2 |
(+ 2 (* -1/4 (pow x 2))) |
(+ 2 (* -1/4 (pow x 2))) |
(+ 2 (* -1/4 (pow x 2))) |
(* -1/4 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/4)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/4)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/4)) |
(* -1/4 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/4)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/4)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/4)) |
(* -1/4 (pow x 2)) |
(* -1/4 (pow x 2)) |
(* -1/4 (pow x 2)) |
(* -1/4 (pow x 2)) |
(* -1/4 (pow x 2)) |
(* -1/4 (pow x 2)) |
(* -1/4 (pow x 2)) |
(* -1/4 (pow x 2)) |
(* -1/4 (pow x 2)) |
(* -1/4 (pow x 2)) |
(* -1/4 (pow x 2)) |
(* -1/4 (pow x 2)) |
x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 3/256 (pow x 2)))))))) |
(/ -128/5 (pow x 3)) |
(/ (- (* 2048/25 (/ 1 (pow x 2))) 128/5) (pow x 3)) |
(/ (- (* 2048/25 (/ 1 (pow x 2))) (+ 128/5 (/ 114688/125 (pow x 4)))) (pow x 3)) |
(/ (- (+ (* 2048/25 (/ 1 (pow x 2))) (* 3145728/625 (/ 1 (pow x 6)))) (+ 128/5 (/ 114688/125 (pow x 4)))) (pow x 3)) |
(/ -128/5 (pow x 3)) |
(* -1 (/ (- 128/5 (* 2048/25 (/ 1 (pow x 2)))) (pow x 3))) |
(* -1 (/ (- (+ 128/5 (/ 114688/125 (pow x 4))) (* 2048/25 (/ 1 (pow x 2)))) (pow x 3))) |
(* -1 (/ (- (+ 128/5 (/ 114688/125 (pow x 4))) (+ (* 2048/25 (/ 1 (pow x 2))) (* 3145728/625 (/ 1 (pow x 6))))) (pow x 3))) |
2 |
(+ 2 (* -1/4 (pow x 2))) |
(+ 2 (* (pow x 2) (- (* -5/64 (pow x 2)) 1/4))) |
(+ 2 (* (pow x 2) (- (* -5/64 (pow x 2)) 1/4))) |
(* -5/64 (pow x 4)) |
(* -1 (* (pow x 4) (+ 5/64 (* 1/4 (/ 1 (pow x 2)))))) |
(* (pow x 4) (- (/ 2 (pow x 4)) (+ 5/64 (* 1/4 (/ 1 (pow x 2)))))) |
(* (pow x 4) (- (/ 2 (pow x 4)) (+ 5/64 (* 1/4 (/ 1 (pow x 2)))))) |
(* -5/64 (pow x 4)) |
(* -1 (* (pow x 4) (+ 5/64 (* 1/4 (/ 1 (pow x 2)))))) |
(* (pow x 4) (- (/ 2 (pow x 4)) (+ 5/64 (* 1/4 (/ 1 (pow x 2)))))) |
(* (pow x 4) (- (/ 2 (pow x 4)) (+ 5/64 (* 1/4 (/ 1 (pow x 2)))))) |
(* -1/4 (pow x 2)) |
(* (pow x 2) (- (* -5/64 (pow x 2)) 1/4)) |
(* (pow x 2) (- (* -5/64 (pow x 2)) 1/4)) |
(* (pow x 2) (- (* -5/64 (pow x 2)) 1/4)) |
(* -5/64 (pow x 4)) |
(* -1 (* (pow x 4) (+ 5/64 (* 1/4 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 4) (+ 5/64 (* 1/4 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 4) (+ 5/64 (* 1/4 (/ 1 (pow x 2)))))) |
(* -5/64 (pow x 4)) |
(* -1 (* (pow x 4) (+ 5/64 (* 1/4 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 4) (+ 5/64 (* 1/4 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 4) (+ 5/64 (* 1/4 (/ 1 (pow x 2)))))) |
x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))) |
(/ -1024/21 (pow x 5)) |
(/ (- (* 40960/441 (/ 1 (pow x 2))) 1024/21) (pow x 5)) |
(/ (- (+ (* 40960/441 (/ 1 (pow x 2))) (/ 1114112/9261 (pow x 4))) 1024/21) (pow x 5)) |
(/ (- (+ (* 40960/441 (/ 1 (pow x 2))) (/ 1114112/9261 (pow x 4))) (+ 1024/21 (* 617086976/194481 (/ 1 (pow x 6))))) (pow x 5)) |
(/ -1024/21 (pow x 5)) |
(* -1 (/ (- 1024/21 (* 40960/441 (/ 1 (pow x 2)))) (pow x 5))) |
(* -1 (/ (+ 1024/21 (* -1 (/ (+ 40960/441 (* 1114112/9261 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 5))) |
(* -1 (/ (- (+ 1024/21 (* 617086976/194481 (/ 1 (pow x 6)))) (+ (* 40960/441 (/ 1 (pow x 2))) (/ 1114112/9261 (pow x 4)))) (pow x 5))) |
2 |
(+ 2 (* -1/4 (pow x 2))) |
(+ 2 (* (pow x 2) (- (* -5/64 (pow x 2)) 1/4))) |
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -21/512 (pow x 2)) 5/64)) 1/4))) |
(* -21/512 (pow x 6)) |
(* -1 (* (pow x 6) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 5/64 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 21/512)) |
(* (pow x 6) (- (* 2 (/ 1 (pow x 6))) (+ 21/512 (+ (/ 1/4 (pow x 4)) (* 5/64 (/ 1 (pow x 2))))))) |
(* -21/512 (pow x 6)) |
(* -1 (* (pow x 6) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 5/64 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 21/512)) |
(* (pow x 6) (- (* 2 (/ 1 (pow x 6))) (+ 21/512 (+ (/ 1/4 (pow x 4)) (* 5/64 (/ 1 (pow x 2))))))) |
(* -1/4 (pow x 2)) |
(* (pow x 2) (- (* -5/64 (pow x 2)) 1/4)) |
(* (pow x 2) (- (* (pow x 2) (- (* -21/512 (pow x 2)) 5/64)) 1/4)) |
(* (pow x 2) (- (* (pow x 2) (- (* -21/512 (pow x 2)) 5/64)) 1/4)) |
(* -21/512 (pow x 6)) |
(* -1 (* (pow x 6) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 5/64 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 21/512)) |
(* (pow x 6) (- (* -1 (/ (+ 5/64 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 21/512)) |
(* -21/512 (pow x 6)) |
(* -1 (* (pow x 6) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 5/64 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 21/512)) |
(* (pow x 6) (- (* -1 (/ (+ 5/64 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 21/512)) |
x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))) |
(/ -1024/21 (pow x 5)) |
(/ (- (* 40960/441 (/ 1 (pow x 2))) 1024/21) (pow x 5)) |
(/ (- (+ (* 40960/441 (/ 1 (pow x 2))) (/ 1114112/9261 (pow x 4))) 1024/21) (pow x 5)) |
(/ (- (+ (* 40960/441 (/ 1 (pow x 2))) (/ 1114112/9261 (pow x 4))) (+ 1024/21 (* 617086976/194481 (/ 1 (pow x 6))))) (pow x 5)) |
(/ -1024/21 (pow x 5)) |
(* -1 (/ (- 1024/21 (* 40960/441 (/ 1 (pow x 2)))) (pow x 5))) |
(* -1 (/ (+ 1024/21 (* -1 (/ (+ 40960/441 (* 1114112/9261 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 5))) |
(* -1 (/ (- (+ 1024/21 (* 617086976/194481 (/ 1 (pow x 6)))) (+ (* 40960/441 (/ 1 (pow x 2))) (/ 1114112/9261 (pow x 4)))) (pow x 5))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
-1 |
(- (* 2 x) 1) |
(- (* 2 x) 1) |
(- (* 2 x) 1) |
(* 2 x) |
(* x (- 2 (/ 1 x))) |
(* x (- 2 (/ 1 x))) |
(* x (- 2 (/ 1 x))) |
(* 2 x) |
(* -1 (* x (- (/ 1 x) 2))) |
(* -1 (* x (- (/ 1 x) 2))) |
(* -1 (* x (- (/ 1 x) 2))) |
-1 |
(- (* -2 x) 1) |
(- (* x (- (* -4 x) 2)) 1) |
(- (* x (- (* x (- (* -8 x) 4)) 2)) 1) |
(/ 1/2 x) |
(/ (+ 1/2 (* 1/4 (/ 1 x))) x) |
(/ (+ 1/2 (+ (/ 1/8 (pow x 2)) (* 1/4 (/ 1 x)))) x) |
(/ (+ 1/2 (+ (/ 1/8 (pow x 2)) (+ (* 1/4 (/ 1 x)) (* 1/16 (/ 1 (pow x 3)))))) x) |
(/ 1/2 x) |
(/ (+ 1/2 (* 1/4 (/ 1 x))) x) |
(* -1 (/ (- (* -1 (/ (+ 1/4 (* 1/8 (/ 1 x))) x)) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (+ 1/4 (+ (/ 1/16 (pow x 2)) (* 1/8 (/ 1 x)))) x)) 1/2) x)) |
1 |
(+ 1 (* -1/2 x)) |
(+ 1 (* x (- (* -1/8 x) 1/2))) |
(+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2))) |
(* (sqrt x) (sqrt -1)) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* -1 (* (sqrt x) (sqrt -1))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -5/64 (pow x 2)) |
(* -5/64 (pow x 2)) |
(* -5/64 (pow x 2)) |
(* -5/64 (pow x 2)) |
(* -5/64 (pow x 2)) |
(* -5/64 (pow x 2)) |
(* -5/64 (pow x 2)) |
(* -5/64 (pow x 2)) |
(* -5/64 (pow x 2)) |
(* -5/64 (pow x 2)) |
(* -5/64 (pow x 2)) |
(* -5/64 (pow x 2)) |
(* -21/512 (pow x 2)) |
(* -21/512 (pow x 2)) |
(* -21/512 (pow x 2)) |
(* -21/512 (pow x 2)) |
(* -21/512 (pow x 2)) |
(* -21/512 (pow x 2)) |
(* -21/512 (pow x 2)) |
(* -21/512 (pow x 2)) |
(* -21/512 (pow x 2)) |
(* -21/512 (pow x 2)) |
(* -21/512 (pow x 2)) |
(* -21/512 (pow x 2)) |
(* -5/64 (pow x 2)) |
(* (pow x 2) (- (* -21/512 (pow x 2)) 5/64)) |
(* (pow x 2) (- (* -21/512 (pow x 2)) 5/64)) |
(* (pow x 2) (- (* -21/512 (pow x 2)) 5/64)) |
(* -21/512 (pow x 4)) |
(* -1 (* (pow x 4) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 4) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 4) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(* -21/512 (pow x 4)) |
(* -1 (* (pow x 4) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 4) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 4) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(* -5/64 x) |
(* x (- (* -21/512 (pow x 2)) 5/64)) |
(* x (- (* -21/512 (pow x 2)) 5/64)) |
(* x (- (* -21/512 (pow x 2)) 5/64)) |
(* -21/512 (pow x 3)) |
(* -1 (* (pow x 3) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(* -21/512 (pow x 3)) |
(* -1 (* (pow x 3) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))))))) |
(/ 2 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (* -2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) (sqrt.f64 x)) (*.f64 x x)) (*.f64 (*.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)))) |
(- (+ (* -1 (/ (+ (* -2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3))) (* 2 (/ (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (pow x 4))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) (* 2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) |
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(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))) |
(*.f64 x (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)))))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))))) |
(*.f64 (+.f64 (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)))))) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64))))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))) |
(sqrt x) |
(sqrt.f64 x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(*.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (+.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 (+.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(*.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (+.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)))))) (-.f64 #s(literal 0 binary64) x)) |
x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 1/64 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 1/64 binary64)))))))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/64 (* 1/512 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) #s(literal 1/512 binary64))))))))) |
(/ -8 x) |
(/.f64 #s(literal -8 binary64) x) |
(* -1 (/ (+ 8 (* 64 (/ 1 (pow x 2)))) x)) |
(/.f64 (-.f64 #s(literal -8 binary64) (/.f64 #s(literal 64 binary64) (*.f64 x x))) x) |
(/ (- (* -1 (/ (+ 64 (* 512 (/ 1 (pow x 2)))) (pow x 2))) 8) x) |
(/.f64 (-.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal 64 binary64) (/.f64 #s(literal 512 binary64) (*.f64 x x))) (*.f64 x x))) x) |
(/ (- (* -1 (/ (+ 512 (* 4096 (/ 1 (pow x 2)))) (pow x 4))) (+ 8 (* 64 (/ 1 (pow x 2))))) x) |
(/.f64 (-.f64 (-.f64 #s(literal -8 binary64) (/.f64 #s(literal 64 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 512 binary64) (/.f64 #s(literal 4096 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x)))) x) |
(/ -8 x) |
(/.f64 #s(literal -8 binary64) x) |
(* -1 (/ (+ 8 (* 64 (/ 1 (pow x 2)))) x)) |
(/.f64 (-.f64 #s(literal -8 binary64) (/.f64 #s(literal 64 binary64) (*.f64 x x))) x) |
(* -1 (/ (+ 8 (+ (* 64 (/ 1 (pow x 2))) (/ 512 (pow x 4)))) x)) |
(/.f64 (+.f64 (/.f64 #s(literal 64 binary64) (*.f64 x x)) (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 512 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (/ (+ 8 (+ (* 64 (/ 1 (pow x 2))) (+ (* 4096 (/ 1 (pow x 6))) (/ 512 (pow x 4))))) x)) |
(/.f64 (+.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 64 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 512 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 6 binary64))))) (-.f64 #s(literal 0 binary64) x)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1/4 (pow x 2))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) |
(+ 2 (* -1/4 (pow x 2))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) |
(+ 2 (* -1/4 (pow x 2))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) |
(* -1/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/4)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/4)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/4)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) |
(* -1/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/4)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/4)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/4)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) |
(* -1/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(* -1/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(* -1/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(* -1/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(* -1/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(* -1/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(* -1/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(* -1/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(* -1/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(* -1/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(* -1/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(* -1/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 3/256 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 x (*.f64 x #s(literal 3/256 binary64))))))))) |
(/ -128/5 (pow x 3)) |
(/.f64 #s(literal -128/5 binary64) (*.f64 x (*.f64 x x))) |
(/ (- (* 2048/25 (/ 1 (pow x 2))) 128/5) (pow x 3)) |
(/.f64 (+.f64 #s(literal -128/5 binary64) (/.f64 #s(literal 2048/25 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (- (* 2048/25 (/ 1 (pow x 2))) (+ 128/5 (/ 114688/125 (pow x 4)))) (pow x 3)) |
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 2048/25 binary64) (*.f64 x x)) (/.f64 #s(literal 114688/125 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal -128/5 binary64)) (*.f64 x (*.f64 x x))) |
(/ (- (+ (* 2048/25 (/ 1 (pow x 2))) (* 3145728/625 (/ 1 (pow x 6)))) (+ 128/5 (/ 114688/125 (pow x 4)))) (pow x 3)) |
(/.f64 (+.f64 (/.f64 #s(literal 2048/25 binary64) (*.f64 x x)) (+.f64 (-.f64 (/.f64 #s(literal 3145728/625 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 114688/125 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal -128/5 binary64))) (*.f64 x (*.f64 x x))) |
(/ -128/5 (pow x 3)) |
(/.f64 #s(literal -128/5 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (/ (- 128/5 (* 2048/25 (/ 1 (pow x 2)))) (pow x 3))) |
(/.f64 (+.f64 #s(literal 128/5 binary64) (/.f64 #s(literal -2048/25 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) |
(* -1 (/ (- (+ 128/5 (/ 114688/125 (pow x 4))) (* 2048/25 (/ 1 (pow x 2)))) (pow x 3))) |
(/.f64 (+.f64 (/.f64 #s(literal 114688/125 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 128/5 binary64) (/.f64 #s(literal -2048/25 binary64) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) |
(* -1 (/ (- (+ 128/5 (/ 114688/125 (pow x 4))) (+ (* 2048/25 (/ 1 (pow x 2))) (* 3145728/625 (/ 1 (pow x 6))))) (pow x 3))) |
(/.f64 (+.f64 #s(literal 128/5 binary64) (+.f64 (/.f64 #s(literal 114688/125 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (/.f64 #s(literal -2048/25 binary64) (*.f64 x x)) (/.f64 #s(literal 3145728/625 binary64) (pow.f64 x #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1/4 (pow x 2))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) |
(+ 2 (* (pow x 2) (- (* -5/64 (pow x 2)) 1/4))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal -5/64 binary64)))))) |
(+ 2 (* (pow x 2) (- (* -5/64 (pow x 2)) 1/4))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal -5/64 binary64)))))) |
(* -5/64 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -5/64 binary64)) |
(* -1 (* (pow x 4) (+ 5/64 (* 1/4 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal -5/64 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (/ 2 (pow x 4)) (+ 5/64 (* 1/4 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal -5/64 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) |
(* (pow x 4) (- (/ 2 (pow x 4)) (+ 5/64 (* 1/4 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal -5/64 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) |
(* -5/64 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -5/64 binary64)) |
(* -1 (* (pow x 4) (+ 5/64 (* 1/4 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal -5/64 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (/ 2 (pow x 4)) (+ 5/64 (* 1/4 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal -5/64 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) |
(* (pow x 4) (- (/ 2 (pow x 4)) (+ 5/64 (* 1/4 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal -5/64 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) |
(* -1/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(* (pow x 2) (- (* -5/64 (pow x 2)) 1/4)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal -5/64 binary64))))) |
(* (pow x 2) (- (* -5/64 (pow x 2)) 1/4)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal -5/64 binary64))))) |
(* (pow x 2) (- (* -5/64 (pow x 2)) 1/4)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal -5/64 binary64))))) |
(* -5/64 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -5/64 binary64)) |
(* -1 (* (pow x 4) (+ 5/64 (* 1/4 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal -5/64 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 4) (+ 5/64 (* 1/4 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal -5/64 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 4) (+ 5/64 (* 1/4 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal -5/64 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
(* -5/64 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -5/64 binary64)) |
(* -1 (* (pow x 4) (+ 5/64 (* 1/4 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal -5/64 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 4) (+ 5/64 (* 1/4 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal -5/64 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 4) (+ 5/64 (* 1/4 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal -5/64 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))) |
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(*.f64 x (*.f64 x #s(literal -5/64 binary64))) |
(* -5/64 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -5/64 binary64))) |
(* -5/64 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -5/64 binary64))) |
(* -5/64 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -5/64 binary64))) |
(* -5/64 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -5/64 binary64))) |
(* -5/64 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -5/64 binary64))) |
(* -5/64 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -5/64 binary64))) |
(* -5/64 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -5/64 binary64))) |
(* -5/64 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -5/64 binary64))) |
(* -5/64 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -5/64 binary64))) |
(* -5/64 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -5/64 binary64))) |
(* -21/512 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -21/512 binary64)) |
(* -21/512 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -21/512 binary64)) |
(* -21/512 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -21/512 binary64)) |
(* -21/512 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -21/512 binary64)) |
(* -21/512 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -21/512 binary64)) |
(* -21/512 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -21/512 binary64)) |
(* -21/512 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -21/512 binary64)) |
(* -21/512 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -21/512 binary64)) |
(* -21/512 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -21/512 binary64)) |
(* -21/512 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -21/512 binary64)) |
(* -21/512 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -21/512 binary64)) |
(* -21/512 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -21/512 binary64)) |
(* -5/64 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -5/64 binary64))) |
(* (pow x 2) (- (* -21/512 (pow x 2)) 5/64)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64)))) |
(* (pow x 2) (- (* -21/512 (pow x 2)) 5/64)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64)))) |
(* (pow x 2) (- (* -21/512 (pow x 2)) 5/64)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64)))) |
(* -21/512 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -21/512 binary64)) |
(* -1 (* (pow x 4) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -21/512 binary64) (*.f64 #s(literal -5/64 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))) |
(* -1 (* (pow x 4) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -21/512 binary64) (*.f64 #s(literal -5/64 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))) |
(* -1 (* (pow x 4) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -21/512 binary64) (*.f64 #s(literal -5/64 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))) |
(* -21/512 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -21/512 binary64)) |
(* -1 (* (pow x 4) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -21/512 binary64) (*.f64 #s(literal -5/64 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))) |
(* -1 (* (pow x 4) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -21/512 binary64) (*.f64 #s(literal -5/64 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))) |
(* -1 (* (pow x 4) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -21/512 binary64) (*.f64 #s(literal -5/64 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))) |
(* -5/64 x) |
(*.f64 x #s(literal -5/64 binary64)) |
(* x (- (* -21/512 (pow x 2)) 5/64)) |
(*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64)))) |
(* x (- (* -21/512 (pow x 2)) 5/64)) |
(*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64)))) |
(* x (- (* -21/512 (pow x 2)) 5/64)) |
(*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64)))) |
(* -21/512 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -21/512 binary64)) |
(* -1 (* (pow x 3) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -21/512 binary64) (*.f64 #s(literal -5/64 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))) |
(* -1 (* (pow x 3) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -21/512 binary64) (*.f64 #s(literal -5/64 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))) |
(* -1 (* (pow x 3) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -21/512 binary64) (*.f64 #s(literal -5/64 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))) |
(* -21/512 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -21/512 binary64)) |
(* -1 (* (pow x 3) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -21/512 binary64) (*.f64 #s(literal -5/64 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))) |
(* -1 (* (pow x 3) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -21/512 binary64) (*.f64 #s(literal -5/64 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))) |
(* -1 (* (pow x 3) (+ 21/512 (* 5/64 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -21/512 binary64) (*.f64 #s(literal -5/64 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))) |
Compiled 34535 to 2570 computations (92.6% saved)
13 alts after pruning (5 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1087 | 3 | 1090 |
| Fresh | 0 | 2 | 2 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1090 | 13 | 1103 |
| Status | Accuracy | Program |
|---|---|---|
| 7.7% | (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))))))) | |
| 7.7% | (/.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))))))) | |
| 7.8% | (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x #s(literal -1 binary64)))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))))))) | |
| ✓ | 7.8% | (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))))))) |
| 100.0% | (/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) | |
| ✓ | 99.9% | (/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -5/64 binary64)))))) |
| ✓ | 99.9% | (/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))))))) |
| ✓ | 7.7% | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| ✓ | 99.9% | (+.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))) (*.f64 x (*.f64 x x))) x) |
| 99.8% | (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) x) | |
| ✓ | 99.9% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))))))) |
| ✓ | 99.8% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
| ✓ | 99.5% | x |
Compiled 914 to 303 computations (66.8% saved)
| Inputs |
|---|
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64)))))) |
(+.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))) (*.f64 x (*.f64 x x))) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -5/64 binary64)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))))))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))))))) |
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x #s(literal -1 binary64)))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 x (-.f64 #s(literal 1 binary64) x)))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))))))) |
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))))))) |
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))))))) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x (-.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))))))) (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))))))) |
| Outputs |
|---|
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
2 calls:
| 7.0ms | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64)))))) |
(+.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))) (*.f64 x (*.f64 x x))) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -5/64 binary64)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))))))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))))))) |
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x #s(literal -1 binary64)))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 x (-.f64 #s(literal 1 binary64) x)))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))))))) |
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))))))) |
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))))))) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))))))) |
2 calls:
| 5.0ms | x |
| 4.0ms | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64)))))) |
(+.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))) (*.f64 x (*.f64 x x))) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -5/64 binary64)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))))))) |
| Outputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))))))) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64)))))) |
(+.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))) (*.f64 x (*.f64 x x))) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -5/64 binary64)))))) |
| Outputs |
|---|
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -5/64 binary64)))))) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64)))))) |
(+.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))) (*.f64 x (*.f64 x x))) x) |
| Outputs |
|---|
(+.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))) (*.f64 x (*.f64 x x))) x) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64)))))) |
| Outputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64)))))) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) x) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
| Outputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
Compiled 2 to 1 computations (50% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
x |
| Outputs |
|---|
x |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 1× | egg-herbie |
| 46× | *-commutative_binary64 |
| 34× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | 1-exp_binary64 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 125 |
| 1 | 96 | 125 |
| 2 | 100 | 125 |
| 3 | 102 | 125 |
| 4 | 103 | 125 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))))))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -5/64 binary64)))))) |
(+.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))) (*.f64 x (*.f64 x x))) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64)))))) |
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
x |
| Outputs |
|---|
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 x x) #s(literal -21/512 binary64))))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))))))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -5/64 binary64)))))) |
(+.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))) (*.f64 x (*.f64 x x))) x) |
(+.f64 x (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))) (*.f64 x (*.f64 x x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64)))))) |
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) x) |
(*.f64 x (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) |
x |
| 5918× | *-lowering-*.f32 |
| 5918× | *-lowering-*.f64 |
| 5894× | *-lowering-*.f32 |
| 5894× | *-lowering-*.f64 |
| 4834× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 406 | 3523 |
| 1 | 1369 | 2939 |
| 2 | 5376 | 2894 |
| 0 | 8098 | 2894 |
| 0 | 339 | 3050 |
| 1 | 1138 | 2475 |
| 2 | 4527 | 2386 |
| 0 | 8130 | 2386 |
| 0 | 31 | 171 |
| 1 | 238 | 145 |
| 2 | 2376 | 140 |
| 0 | 8486 | 140 |
| 0 | 38 | 257 |
| 1 | 286 | 187 |
| 2 | 2734 | 183 |
| 0 | 8439 | 183 |
| 0 | 7 | 20 |
| 1 | 46 | 20 |
| 2 | 389 | 20 |
| 3 | 6209 | 20 |
| 0 | 8435 | 20 |
| 0 | 161 | 826 |
| 1 | 528 | 727 |
| 2 | 2050 | 693 |
| 0 | 8755 | 693 |
| 0 | 41 | 202 |
| 1 | 302 | 179 |
| 2 | 2896 | 176 |
| 0 | 8238 | 176 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 447 to 256 computations (42.7% saved)
(negabs x)
Compiled 412 to 222 computations (46.1% saved)
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