
Time bar (total: 6.4s)
| 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 | 8073× | 1 | valid |
| 13.0ms | 183× | 0 | valid |
ival-<=: 409.0ms (31% of total)ival-sqrt: 332.0ms (25.2% of total)ival-sub: 192.0ms (14.6% of total)backward-pass: 180.0ms (13.7% of total)ival-add: 163.0ms (12.4% of total)ival-and: 21.0ms (1.6% of total)const: 20.0ms (1.5% 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 |
|---|---|---|---|---|---|
| 256 | 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) |
| 113.0ms | 508× | 1 | valid |
| 0.0ms | 4× | 0 | valid |
Compiled 64 to 23 computations (64.1% saved)
ival-sqrt: 17.0ms (33.6% of total)backward-pass: 13.0ms (25.7% of total)ival-sub: 11.0ms (21.7% of total)ival-add: 9.0ms (17.8% of total)const: 1.0ms (2% of total)Compiled 10 to 7 computations (30% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 7.6% | (-.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 | 7.6% | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| 56.0ms | 254× | 1 | valid |
| 0.0ms | 2× | 0 | valid |
Compiled 27 to 8 computations (70.4% saved)
ival-sqrt: 8.0ms (33.4% of total)backward-pass: 6.0ms (25% of total)ival-sub: 5.0ms (20.9% of total)ival-add: 3.0ms (12.5% of total)const: 1.0ms (4.2% 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 | @ | 0 | (- (sqrt (+ 1 x)) (sqrt (- 1 x))) |
| 0.0ms | x | @ | -inf | (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)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 288 | 4 | 292 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 289 | 4 | 293 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 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)))))) |
| ▶ | 100.0% | (*.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))))))))) |
| ▶ | 99.8% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
| ▶ | 99.6% | x |
Compiled 50 to 32 computations (36% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | 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 (*.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))))))))) |
| ✓ | 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)))) |
| 2824× | fma-define |
| 1752× | fma-lowering-fma.f32 |
| 1752× | fma-lowering-fma.f64 |
| 614× | *-lowering-*.f32 |
| 614× | *-lowering-*.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 166 |
| 1 | 81 | 145 |
| 2 | 272 | 142 |
| 3 | 778 | 142 |
| 4 | 1632 | 142 |
| 5 | 2749 | 142 |
| 6 | 3241 | 142 |
| 7 | 3310 | 142 |
| 8 | 3311 | 142 |
| 9 | 3311 | 142 |
| 10 | 3314 | 142 |
| 0 | 3314 | 142 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
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 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 (+ 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 |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/8 (* x x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
x |
(+ 1 (* 1/8 (* x x))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(* 1/8 (* x x)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
1/8 |
#s(literal 1/8 binary64) |
(* x x) |
(*.f64 x x) |
(* x (+ 1 (* (* x x) (+ 1/8 (* 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 (+ 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 |
#s(literal 1 binary64) |
(* (* x x) (+ 1/8 (* x (* x (+ 7/128 (* (* x x) 33/1024)))))) |
(*.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 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 (*.f64 x 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 (*.f64 x x) #s(literal 33/1024 binary64))))) |
(* x (+ 7/128 (* (* x x) 33/1024))) |
(*.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) |
(* x (+ 1 (* (* x x) (+ 1/8 (* (* x x) 7/128))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64))))))) |
x |
(+ 1 (* (* x x) (+ 1/8 (* (* x x) 7/128)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64)))))) |
1 |
#s(literal 1 binary64) |
(* (* x x) (+ 1/8 (* (* x x) 7/128))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64))))) |
(* x x) |
(*.f64 x x) |
(+ 1/8 (* (* x x) 7/128)) |
(+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64)))) |
1/8 |
#s(literal 1/8 binary64) |
(* (* x x) 7/128) |
(*.f64 x (*.f64 x #s(literal 7/128 binary64))) |
7/128 |
#s(literal 7/128 binary64) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | 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 | 100.0% | (*.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 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))))))))) |
| ✓ | accuracy | 99.9% | (*.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)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 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)))) |
| 82.0ms | 237× | 0 | valid |
| 10.0ms | 8× | 3 | valid |
| 7.0ms | 8× | 2 | valid |
| 3.0ms | 3× | 1 | valid |
Compiled 198 to 23 computations (88.4% saved)
ival-mult: 24.0ms (66.7% of total)ival-add: 8.0ms (22.2% of total)backward-pass: 3.0ms (8.3% of total)const: 1.0ms (2.8% of total)| Inputs |
|---|
#<alt (* x (+ 1 (* 1/8 (* x x))))> |
#<alt (+ 1 (* 1/8 (* x x)))> |
#<alt (* 1/8 (* x x))> |
#<alt (* x x)> |
#<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 (+ 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 (* x (* x (+ 7/128 (* (* x x) 33/1024))))> |
#<alt (* (* x x) 33/1024)> |
#<alt (* x (+ 7/128 (* (* x x) 33/1024)))> |
#<alt (* (* x x) 7/128)> |
| Outputs |
|---|
#<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 (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 (* (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 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 (* 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 (* 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 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))> |
42 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (* x x) |
| 1.0ms | x | @ | -inf | (* x (+ 1 (* (* x x) (+ 1/8 (* (* x x) 7/128))))) |
| 1.0ms | x | @ | 0 | (* x (+ 1 (* 1/8 (* x x)))) |
| 0.0ms | x | @ | inf | (* x (+ 1 (* (* x x) (+ 1/8 (* x (* x (+ 7/128 (* (* x x) 33/1024)))))))) |
| 0.0ms | x | @ | inf | (* x (+ 1 (* 1/8 (* x x)))) |
| 1× | batch-egg-rewrite |
| 3868× | *-lowering-*.f32 |
| 3868× | *-lowering-*.f64 |
| 2744× | /-lowering-/.f32 |
| 2744× | /-lowering-/.f64 |
| 2192× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 126 |
| 1 | 154 | 109 |
| 2 | 1458 | 106 |
| 0 | 8365 | 106 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ 1 (* 1/8 (* x x)))) |
(+ 1 (* 1/8 (* x x))) |
(* 1/8 (* x x)) |
(* x x) |
(* 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 (+ 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))) |
(* x (* x (+ 7/128 (* (* x x) 33/1024)))) |
(* (* x x) 33/1024) |
(* x (+ 7/128 (* (* x x) 33/1024))) |
(* (* x x) 7/128) |
| Outputs |
|---|
(+.f64 x (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) |
(+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) (-.f64 x (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 x (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/8 binary64)) x) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) x x) |
(fma.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 x x) x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) x) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (-.f64 x (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 x (-.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 -1/8 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x))))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))))) (neg.f64 (-.f64 x (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x))))) x)) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x)) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x x))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
(+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1 binary64)))) |
(fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x #s(literal 1/8 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/8 binary64))) x #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x x))))) |
(/.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 -1/8 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x)))))) (neg.f64 (+.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x x)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x)))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x x))) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x x))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1 binary64)))))) |
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(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 343/2097152 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 49/16384 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))) (*.f64 (*.f64 x (*.f64 x #s(literal 7/128 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 343/2097152 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 49/16384 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))) (*.f64 (*.f64 x (*.f64 x #s(literal 7/128 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 343/2097152 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))) x) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 49/16384 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))) x)) (*.f64 (*.f64 x (*.f64 x #s(literal 7/128 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))) x))))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 343/2097152 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 49/16384 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x #s(literal 7/128 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) (*.f64 x x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 343/2097152 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))) (-.f64 (*.f64 #s(literal 49/16384 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))) (*.f64 x (*.f64 x #s(literal 7/128 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) (*.f64 x x)) #s(literal 3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 343/2097152 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) (*.f64 x x))) (-.f64 (*.f64 #s(literal 49/16384 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 7/128 binary64))))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))) |
(*.f64 (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 x (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))) x) |
(*.f64 x (*.f64 x #s(literal 33/1024 binary64))) |
(*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) |
(*.f64 #s(literal 33/1024 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 33/1024 binary64)) x) |
(+.f64 (*.f64 x #s(literal 7/128 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))) |
(+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))) (*.f64 x #s(literal 7/128 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 x #s(literal 7/128 binary64)) (*.f64 x #s(literal 7/128 binary64))) (-.f64 (*.f64 x #s(literal 7/128 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))) (/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))) (-.f64 (*.f64 x #s(literal 7/128 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))) |
(fma.f64 x #s(literal 7/128 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) (*.f64 x #s(literal 7/128 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 33/1024 binary64)) (*.f64 x #s(literal 7/128 binary64))) |
(fma.f64 #s(literal 7/128 binary64) x (*.f64 x (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))) |
(fma.f64 #s(literal 33/1024 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 7/128 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) x (*.f64 x #s(literal 7/128 binary64))) |
(fma.f64 (*.f64 x #s(literal 33/1024 binary64)) (*.f64 x x) (*.f64 x #s(literal 7/128 binary64))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 33/1024 binary64) (*.f64 x #s(literal 7/128 binary64))) |
(/.f64 (+.f64 (*.f64 #s(literal 343/2097152 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 35937/1073741824 binary64))) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x #s(literal 7/128 binary64)) (*.f64 x #s(literal 7/128 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))) (*.f64 (*.f64 x #s(literal 7/128 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 7/128 binary64)) (*.f64 x #s(literal 7/128 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))) (-.f64 (*.f64 x #s(literal 7/128 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))) |
(/.f64 (*.f64 x (+.f64 #s(literal 343/2097152 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 35937/1073741824 binary64))))) (+.f64 #s(literal 49/16384 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) #s(literal 7/128 binary64))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 49/16384 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1089/1048576 binary64)))) (-.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal 343/2097152 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 35937/1073741824 binary64)))) x) (+.f64 #s(literal 49/16384 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) #s(literal 7/128 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 49/16384 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1089/1048576 binary64))) x) (-.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 343/2097152 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 35937/1073741824 binary64))) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (*.f64 (*.f64 x #s(literal 7/128 binary64)) (*.f64 x #s(literal 7/128 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))) (*.f64 (*.f64 x #s(literal 7/128 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x #s(literal 7/128 binary64)) (*.f64 x #s(literal 7/128 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))) (neg.f64 (-.f64 (*.f64 x #s(literal 7/128 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 343/2097152 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 35937/1073741824 binary64)))))) (neg.f64 (+.f64 #s(literal 49/16384 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) #s(literal 7/128 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 49/16384 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1089/1048576 binary64))))) (neg.f64 (-.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 343/2097152 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 35937/1073741824 binary64)))) x)) (neg.f64 (+.f64 #s(literal 49/16384 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) #s(literal 7/128 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 49/16384 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1089/1048576 binary64))) x)) (neg.f64 (-.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 35937/1073741824 binary64))) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 343/2097152 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))) (-.f64 (*.f64 (*.f64 x #s(literal 7/128 binary64)) (*.f64 x #s(literal 7/128 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))) (*.f64 x #s(literal 7/128 binary64)))))) |
(*.f64 x (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))) |
(*.f64 (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))) x) |
(*.f64 x (*.f64 x #s(literal 7/128 binary64))) |
(*.f64 (*.f64 x x) #s(literal 7/128 binary64)) |
(*.f64 #s(literal 7/128 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 7/128 binary64)) x) |
| 1× | egg-herbie |
| 3892× | *-lowering-*.f32 |
| 3892× | *-lowering-*.f64 |
| 2480× | +-lowering-+.f64 |
| 2480× | +-lowering-+.f32 |
| 1444× | /-lowering-/.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 1422 |
| 1 | 301 | 1128 |
| 2 | 918 | 1115 |
| 3 | 3677 | 1111 |
| 4 | 7451 | 1111 |
| 0 | 8297 | 1111 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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)) |
(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 (* (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)))))) |
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))))) |
(* 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))))) |
(* 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 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)) |
| 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 (* 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)) |
(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 (* (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 (*.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))))))))) |
(* 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 x (*.f64 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 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 33/1024 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(* 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 (pow.f64 x #s(literal 7 binary64)) (+.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)))) |
(* -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 #s(literal 33/1024 binary64) (/.f64 #s(literal 7/128 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.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 (*.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 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)))))))) |
(* 33/1024 (pow x 6)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 33/1024 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (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))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (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 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 33/1024 binary64) (+.f64 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* 33/1024 (pow x 6)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 33/1024 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (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))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (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 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 33/1024 binary64) (+.f64 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* 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 (*.f64 x 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 (*.f64 x 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 (*.f64 x x) #s(literal 33/1024 binary64))))))) |
(* 33/1024 (pow x 6)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 33/1024 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (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))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (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 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (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 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* 33/1024 (pow x 6)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 33/1024 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (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))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (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 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (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 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.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 (*.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 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))))))) |
(* 7/128 (pow x 5)) |
(*.f64 x (*.f64 #s(literal 7/128 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (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))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* (pow x 5) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 7/128 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 5) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 7/128 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* 7/128 (pow x 5)) |
(*.f64 x (*.f64 #s(literal 7/128 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (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))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 2))) 7/128))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 7/128 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 2))) 7/128))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 7/128 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.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 (*.f64 x 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 (*.f64 x x) #s(literal 7/128 binary64)))))) |
(* 7/128 (pow x 4)) |
(*.f64 #s(literal 7/128 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))))) |
(* (pow x 4) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64)))))) |
(* (pow x 4) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64)))))) |
(* 7/128 (pow x 4)) |
(*.f64 #s(literal 7/128 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))))) |
(* (pow x 4) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64)))))) |
(* (pow x 4) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(+.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 (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 (*.f64 x x) #s(literal 7/128 binary64))))) |
(* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))))) |
(* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))))) |
(* 7/128 (pow x 4)) |
(*.f64 #s(literal 7/128 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))))) |
(* (pow x 4) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))))) |
(* (pow x 4) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))))) |
(* 7/128 (pow x 4)) |
(*.f64 #s(literal 7/128 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))))) |
(* (pow x 4) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64))))) |
(* (pow x 4) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.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 (* 33/1024 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x 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 (*.f64 x 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 (*.f64 x x) #s(literal 33/1024 binary64)))) |
(* 33/1024 (pow x 4)) |
(*.f64 #s(literal 33/1024 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))) |
(* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))) |
(* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))) |
(* 33/1024 (pow x 4)) |
(*.f64 #s(literal 33/1024 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))) |
(* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))) |
(* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))) |
(* 33/1024 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) |
(* 33/1024 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) |
(* 33/1024 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) |
(* 33/1024 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) |
(* 33/1024 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) |
(* 33/1024 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) |
(* 33/1024 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) |
(* 33/1024 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) |
(* 33/1024 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) |
(* 33/1024 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) |
(* 33/1024 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) |
(* 33/1024 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) |
(* 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 (*.f64 x x) #s(literal 33/1024 binary64)))) |
(* x (+ 7/128 (* 33/1024 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))) |
(* x (+ 7/128 (* 33/1024 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))) |
(* 33/1024 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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 (*.f64 x x) #s(literal 33/1024 binary64)))) |
(* 33/1024 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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 (*.f64 x x) #s(literal 33/1024 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)) |
Compiled 20459 to 1788 computations (91.3% saved)
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 652 | 2 | 654 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 0 | 0 |
| Total | 654 | 4 | 658 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (+.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64)))) (*.f64 x (*.f64 x x))) x) |
| ▶ | 99.8% | (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) x) |
| ✓ | 100.0% | (*.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))))))))) |
| ✓ | 99.6% | x |
Compiled 50 to 31 computations (38% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal 7/128 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64)))) (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64)))) (*.f64 x (*.f64 x x))) x) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) x) |
| 428× | fma-define |
| 316× | fma-lowering-fma.f32 |
| 316× | fma-lowering-fma.f64 |
| 232× | *-lowering-*.f32 |
| 232× | *-lowering-*.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 60 |
| 1 | 30 | 57 |
| 2 | 62 | 57 |
| 3 | 155 | 57 |
| 4 | 331 | 57 |
| 5 | 387 | 57 |
| 6 | 426 | 57 |
| 7 | 498 | 57 |
| 8 | 540 | 57 |
| 9 | 544 | 57 |
| 0 | 544 | 57 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (* 1/8 (* x (* x x))) x) |
(* 1/8 (* x (* x x))) |
1/8 |
(* x (* x x)) |
x |
(* x x) |
(+ (* (+ 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 7/128) |
7/128 |
(* x (* x x)) |
(* x x) |
| Outputs |
|---|
(+ (* 1/8 (* x (* x x))) x) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(* 1/8 (* x (* x x))) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) |
1/8 |
#s(literal 1/8 binary64) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
x |
(* x x) |
(*.f64 x x) |
(+ (* (+ 1/8 (* x (* x 7/128))) (* x (* x x))) x) |
(*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 7/128 binary64)))) #s(literal 1 binary64))) |
(* (+ 1/8 (* x (* x 7/128))) (* x (* x x))) |
(*.f64 x (*.f64 (*.f64 x 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 7/128) |
(*.f64 x #s(literal 7/128 binary64)) |
7/128 |
#s(literal 7/128 binary64) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 7/128 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64)))) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal 7/128 binary64))) |
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) x) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| 42.0ms | 256× | 0 | valid |
Compiled 82 to 13 computations (84.1% saved)
ival-mult: 10.0ms (70.3% of total)ival-add: 4.0ms (28.1% of total)const: 1.0ms (7% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* 1/8 (* x (* x x))) x)> |
#<alt (* 1/8 (* x (* x x)))> |
#<alt (* x (* x x))> |
#<alt (* x x)> |
#<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 7/128)> |
| Outputs |
|---|
#<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 (* 1/8 (pow x 3))> |
#<alt (* 1/8 (pow x 3))> |
#<alt (* 1/8 (pow x 3))> |
#<alt (* 1/8 (pow x 3))> |
#<alt (* 1/8 (pow x 3))> |
#<alt (* 1/8 (pow x 3))> |
#<alt (* 1/8 (pow x 3))> |
#<alt (* 1/8 (pow x 3))> |
#<alt (* 1/8 (pow x 3))> |
#<alt (* 1/8 (pow x 3))> |
#<alt (* 1/8 (pow x 3))> |
#<alt (* 1/8 (pow x 3))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (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 (* (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 (* 7/128 x)> |
#<alt (* 7/128 x)> |
#<alt (* 7/128 x)> |
#<alt (* 7/128 x)> |
#<alt (* 7/128 x)> |
#<alt (* 7/128 x)> |
#<alt (* 7/128 x)> |
#<alt (* 7/128 x)> |
#<alt (* 7/128 x)> |
#<alt (* 7/128 x)> |
#<alt (* 7/128 x)> |
#<alt (* 7/128 x)> |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (* x (* x x)) |
| 0.0ms | x | @ | 0 | (+ (* 1/8 (* x (* x x))) x) |
| 0.0ms | x | @ | -inf | (* 1/8 (* x (* x x))) |
| 0.0ms | x | @ | -inf | (* x 7/128) |
| 0.0ms | x | @ | inf | (+ (* 1/8 (* x (* x x))) x) |
| 1× | batch-egg-rewrite |
| 4648× | *-lowering-*.f32 |
| 4648× | *-lowering-*.f64 |
| 2232× | /-lowering-/.f32 |
| 2232× | /-lowering-/.f64 |
| 1328× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 50 |
| 1 | 66 | 47 |
| 2 | 547 | 47 |
| 3 | 7345 | 47 |
| 0 | 8036 | 47 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* 1/8 (* x (* x x))) x) |
(* 1/8 (* x (* x x))) |
(* x (* x x)) |
(* x x) |
(+ (* (+ 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 7/128) |
| Outputs |
|---|
(+.f64 x (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) |
(+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) x) |
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/64 binary64))) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) x))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) x)))) |
(-.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/64 binary64))) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) x))) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) x))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/64 binary64))))) (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))))) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) x) |
(fma.f64 x (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/8 binary64) x) x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) x) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 x x) x) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) x x) |
(neg.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/64 binary64))) (*.f64 #s(literal 1/8 binary64) x))))))) |
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(/.f64 (*.f64 (+.f64 #s(literal 1/134217728 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 343/2097152 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 117649/4398046511104 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 7/128 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 7/128 binary64))) #s(literal -1/8 binary64)))))) (+.f64 #s(literal 1/262144 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 343/2097152 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 343/2097152 binary64))) #s(literal 1/512 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/262144 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 117649/4398046511104 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 7/128 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 7/128 binary64))) #s(literal -1/8 binary64)))))) (-.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 343/2097152 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/262144 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 117649/4398046511104 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -7/128 binary64))))) (+.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 49/16384 binary64)))) (+.f64 #s(literal 1/64 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 49/16384 binary64)))))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 2401/268435456 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -7/128 binary64))))) (+.f64 #s(literal 1/64 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 49/16384 binary64)))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64))))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 343/2097152 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 7/128 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 7/128 binary64))) #s(literal -1/8 binary64)))))) |
(*.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 49/16384 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -7/128 binary64))))) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64))))) |
(*.f64 (+.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 343/2097152 binary64)))) #s(literal -1/512 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 7/128 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 7/128 binary64))) #s(literal -1/8 binary64))))))) |
(*.f64 (+.f64 #s(literal -1/64 binary64) (neg.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -49/16384 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/8 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -7/128 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 7/128 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 7/128 binary64))) #s(literal -1/8 binary64))))) (+.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 343/2097152 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -7/128 binary64)))) (-.f64 #s(literal 1/64 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 49/16384 binary64)))))) |
(*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 49/16384 binary64)))) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 7/128 binary64))) #s(literal -1/8 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 49/16384 binary64))))) (-.f64 #s(literal 1/64 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 49/16384 binary64)))))) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 343/2097152 binary64)))) (+.f64 #s(literal 1/262144 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 7/128 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 7/128 binary64))) #s(literal -1/8 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 49/16384 binary64)))) (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 7/128 binary64))) #s(literal -1/8 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal 7/128 binary64))) #s(literal -1/8 binary64))))))) (+.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 7/128 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 7/128 binary64))) #s(literal -1/8 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 7/128 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 7/128 binary64))) #s(literal -1/8 binary64))) #s(literal 1/64 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 343/2097152 binary64)))) (-.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 49/16384 binary64)))) (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 7/128 binary64))) #s(literal -1/8 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal 7/128 binary64))) #s(literal -1/8 binary64)))))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -7/128 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal 7/128 binary64))) #s(literal -1/8 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 49/16384 binary64))))) (-.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 343/2097152 binary64))))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 7/128 binary64))) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64))))))) |
(*.f64 x (*.f64 x #s(literal 7/128 binary64))) |
(*.f64 (*.f64 x x) #s(literal 7/128 binary64)) |
(*.f64 #s(literal 7/128 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 7/128 binary64)) x) |
(*.f64 x #s(literal 7/128 binary64)) |
(*.f64 #s(literal 7/128 binary64) x) |
| 1× | egg-herbie |
| 2328× | *-lowering-*.f32 |
| 2328× | *-lowering-*.f64 |
| 2154× | fma-lowering-fma.f32 |
| 2154× | fma-lowering-fma.f64 |
| 1848× | fma-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 640 |
| 1 | 127 | 541 |
| 2 | 359 | 525 |
| 3 | 990 | 514 |
| 4 | 3428 | 514 |
| 5 | 7448 | 514 |
| 0 | 8218 | 514 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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)))) |
(* 1/8 (pow x 3)) |
(* 1/8 (pow x 3)) |
(* 1/8 (pow x 3)) |
(* 1/8 (pow x 3)) |
(* 1/8 (pow x 3)) |
(* 1/8 (pow x 3)) |
(* 1/8 (pow x 3)) |
(* 1/8 (pow x 3)) |
(* 1/8 (pow x 3)) |
(* 1/8 (pow x 3)) |
(* 1/8 (pow x 3)) |
(* 1/8 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(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 (* (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)) |
(* 7/128 x) |
(* 7/128 x) |
(* 7/128 x) |
(* 7/128 x) |
(* 7/128 x) |
(* 7/128 x) |
(* 7/128 x) |
(* 7/128 x) |
(* 7/128 x) |
(* 7/128 x) |
(* 7/128 x) |
(* 7/128 x) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64))))) |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64))))) |
(* x (+ 1 (* 1/8 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64))))) |
(* 1/8 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) |
(* (pow x 3) (+ 1/8 (/ 1 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64))))) |
(* (pow x 3) (+ 1/8 (/ 1 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64))))) |
(* (pow x 3) (+ 1/8 (/ 1 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64))))) |
(* 1/8 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) |
(* (pow x 3) (+ 1/8 (/ 1 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64))))) |
(* (pow x 3) (+ 1/8 (/ 1 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64))))) |
(* (pow x 3) (+ 1/8 (/ 1 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64))))) |
(* 1/8 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) |
(* 1/8 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) |
(* 1/8 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) |
(* 1/8 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) |
(* 1/8 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) |
(* 1/8 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) |
(* 1/8 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) |
(* 1/8 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) |
(* 1/8 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) |
(* 1/8 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) |
(* 1/8 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) |
(* 1/8 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(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 x (*.f64 x #s(literal 1/8 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 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 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64))))))) |
(* 7/128 (pow x 5)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 7/128 binary64)))) |
(* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64))))) |
(* (pow x 5) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64))))))) |
(* (pow x 5) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64))))))) |
(* 7/128 (pow x 5)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 7/128 binary64)))) |
(* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 2))) 7/128))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64))))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 2))) 7/128))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64))))))) |
(* 1/8 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) |
(* (pow x 3) (+ 1/8 (* 7/128 (pow x 2)))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64))))) |
(* (pow x 3) (+ 1/8 (* 7/128 (pow x 2)))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64))))) |
(* (pow x 3) (+ 1/8 (* 7/128 (pow x 2)))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64))))) |
(* 7/128 (pow x 5)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 7/128 binary64)))) |
(* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64))))) |
(* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64))))) |
(* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64))))) |
(* 7/128 (pow x 5)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 7/128 binary64)))) |
(* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64))))) |
(* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64))))) |
(* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64))))) |
1/8 |
#s(literal 1/8 binary64) |
(+ 1/8 (* 7/128 (pow x 2))) |
(+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64)))) |
(+ 1/8 (* 7/128 (pow x 2))) |
(+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64)))) |
(+ 1/8 (* 7/128 (pow x 2))) |
(+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64)))) |
(* 7/128 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 7/128 binary64))) |
(* (pow x 2) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64)))) |
(* (pow x 2) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64)))) |
(* (pow x 2) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64)))) |
(* 7/128 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 7/128 binary64))) |
(* (pow x 2) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64)))) |
(* (pow x 2) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64)))) |
(* (pow x 2) (+ 7/128 (* 1/8 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/8 binary64) (*.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))) |
(* 7/128 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 7/128 binary64))) |
(* 7/128 x) |
(*.f64 x #s(literal 7/128 binary64)) |
(* 7/128 x) |
(*.f64 x #s(literal 7/128 binary64)) |
(* 7/128 x) |
(*.f64 x #s(literal 7/128 binary64)) |
(* 7/128 x) |
(*.f64 x #s(literal 7/128 binary64)) |
(* 7/128 x) |
(*.f64 x #s(literal 7/128 binary64)) |
(* 7/128 x) |
(*.f64 x #s(literal 7/128 binary64)) |
(* 7/128 x) |
(*.f64 x #s(literal 7/128 binary64)) |
(* 7/128 x) |
(*.f64 x #s(literal 7/128 binary64)) |
(* 7/128 x) |
(*.f64 x #s(literal 7/128 binary64)) |
(* 7/128 x) |
(*.f64 x #s(literal 7/128 binary64)) |
(* 7/128 x) |
(*.f64 x #s(literal 7/128 binary64)) |
(* 7/128 x) |
(*.f64 x #s(literal 7/128 binary64)) |
Compiled 15182 to 909 computations (94% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 404 | 0 | 404 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 2 | 2 |
| Total | 404 | 4 | 408 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (+.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64)))) (*.f64 x (*.f64 x x))) x) |
| ✓ | 99.8% | (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) x) |
| ✓ | 100.0% | (*.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))))))))) |
| ✓ | 99.6% | x |
Compiled 130 to 66 computations (49.2% saved)
| Inputs |
|---|
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(+.f64 (*.f64 #s(literal 1/8 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 (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 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 x (*.f64 x (+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))))))) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| 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))))))))) |
2 calls:
| 2.0ms | x |
| 2.0ms | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) 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 1/8 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 (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64)))) (*.f64 x (*.f64 x x))) x) |
| Outputs |
|---|
(+.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64)))) (*.f64 x (*.f64 x x))) x) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 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 1/8 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)))))) |
| 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 |
|---|---|---|
| 100.0% | 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 1/8 binary64) (*.f64 x (*.f64 x x))) x) |
| Outputs |
|---|
(+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) 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:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 1× | egg-herbie |
| 30× | *-commutative_binary64 |
| 18× | +-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 70 |
| 1 | 57 | 70 |
| 1× | saturated |
| Inputs |
|---|
(*.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 (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 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 1/8 binary64) (*.f64 x (*.f64 x x))) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
x |
| 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))))))))) |
(+.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 7/128 binary64)))) (*.f64 x (*.f64 x x))) x) |
(+.f64 x (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 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 1/8 binary64) (*.f64 x (*.f64 x x))) x) |
(+.f64 x (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) |
(*.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 |
| 4834× | *-lowering-*.f32 |
| 4834× | *-lowering-*.f64 |
| 4254× | +-lowering-+.f64 |
| 4254× | +-lowering-+.f32 |
| 3868× | *-lowering-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 126 |
| 1 | 154 | 109 |
| 2 | 1458 | 106 |
| 0 | 8365 | 106 |
| 0 | 161 | 826 |
| 1 | 528 | 727 |
| 2 | 2050 | 693 |
| 0 | 8755 | 693 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 173 to 95 computations (45.1% saved)
(negabs x)
Compiled 366 to 206 computations (43.7% saved)
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