Main:bigenough3 from C
Time bar (total: 11.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 2 |
| 66.7% | 50% | 25% | 0% | 0% | 25% | 0% | 3 |
| 80% | 50% | 12.5% | 0% | 0% | 37.5% | 0% | 4 |
| 88.9% | 50% | 6.2% | 0% | 0% | 43.7% | 0% | 5 |
| 94.1% | 50% | 3.1% | 0% | 0% | 46.9% | 0% | 6 |
| 97% | 50% | 1.6% | 0% | 0% | 48.4% | 0% | 7 |
| 98.5% | 50% | 0.8% | 0% | 0% | 49.2% | 0% | 8 |
| 99.2% | 50% | 0.4% | 0% | 0% | 49.6% | 0% | 9 |
| 99.6% | 50% | 0.2% | 0% | 0% | 49.8% | 0% | 10 |
| 99.8% | 50% | 0.1% | 0% | 0% | 49.9% | 0% | 11 |
| 99.9% | 50% | 0% | 0% | 0% | 49.9% | 0% | 12 |
Compiled 9 to 7 computations (22.2% saved)
ival-sub: 0.0ms (0% of total)ival-add: 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)| 395.0ms | 2337× | 1 | valid |
| 383.0ms | 1700× | 2 | valid |
| 316.0ms | 4219× | 0 | valid |
| 1.0ms | 15× | 0 | invalid |
ival-sqrt: 314.0ms (44.4% of total)ival-add: 189.0ms (26.7% of total)ival-sub: 99.0ms (14% of total)backward-pass: 88.0ms (12.4% of total)const: 18.0ms (2.5% of total)| 2× | egg-herbie |
| 270× | sum3-define |
| 244× | fnmadd-define |
| 184× | fmsub-define |
| 168× | fnmsub-define |
| 168× | fma-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 26 |
| 1 | 25 | 24 |
| 2 | 52 | 23 |
| 3 | 99 | 23 |
| 4 | 190 | 23 |
| 5 | 387 | 23 |
| 6 | 579 | 23 |
| 7 | 755 | 23 |
| 8 | 849 | 23 |
| 9 | 955 | 23 |
| 10 | 1033 | 23 |
| 11 | 1039 | 23 |
| 0 | 6 | 7 |
| 1 | 11 | 7 |
| 2 | 15 | 7 |
| 3 | 22 | 7 |
| 4 | 32 | 7 |
| 5 | 64 | 7 |
| 6 | 122 | 7 |
| 7 | 210 | 7 |
| 8 | 295 | 7 |
| 9 | 401 | 7 |
| 10 | 479 | 7 |
| 11 | 485 | 7 |
| 0 | 485 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(- (sqrt (+ x 1)) (sqrt x)) |
| Outputs |
|---|
(- (sqrt (+ x 1)) (sqrt x)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| Inputs |
|---|
(- (sqrt (+ x 1)) (sqrt x)) |
(- (sqrt (+ (neg x) 1)) (sqrt (neg x))) |
(neg (- (sqrt (+ (neg x) 1)) (sqrt (neg x)))) |
| Outputs |
|---|
(- (sqrt (+ x 1)) (sqrt x)) |
(- (sqrt (+ (neg x) 1)) (sqrt (neg x))) |
(- (sqrt (- 1 x)) (sqrt (neg x))) |
(neg (- (sqrt (+ (neg x) 1)) (sqrt (neg x)))) |
(- (sqrt (neg x)) (sqrt (- 1 x))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 123 | 0 | - | 0 | - | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (sqrt.f64 x) |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 38.0ms | 270× | 0 | valid |
| 34.0ms | 112× | 2 | valid |
| 24.0ms | 130× | 1 | valid |
Compiled 48 to 20 computations (58.3% saved)
ival-sqrt: 15.0ms (44.6% of total)backward-pass: 7.0ms (20.8% of total)ival-add: 6.0ms (17.8% of total)ival-sub: 5.0ms (14.9% of total)const: 1.0ms (3% of total)Compiled 8 to 6 computations (25% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 55.2% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
Compiled 8 to 6 computations (25% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 124× | fnmadd-define |
| 122× | sum3-define |
| 80× | fma-lowering-fma.f32 |
| 80× | fnmsub-define |
| 80× | fmsub-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 1 | 11 | 18 |
| 2 | 15 | 18 |
| 3 | 22 | 18 |
| 4 | 32 | 18 |
| 5 | 64 | 18 |
| 6 | 122 | 18 |
| 7 | 210 | 18 |
| 8 | 295 | 18 |
| 9 | 401 | 18 |
| 10 | 479 | 18 |
| 11 | 485 | 18 |
| 0 | 485 | 18 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- (sqrt (+ x 1)) (sqrt x)) |
(sqrt (+ x 1)) |
(+ x 1) |
x |
1 |
(sqrt x) |
| Outputs |
|---|
(- (sqrt (+ x 1)) (sqrt x)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(sqrt (+ x 1)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+ x 1) |
(+.f64 x #s(literal 1 binary64)) |
x |
1 |
#s(literal 1 binary64) |
(sqrt x) |
(sqrt.f64 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 55.2% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 18.0ms | 56× | 2 | valid |
| 14.0ms | 135× | 0 | valid |
| 11.0ms | 65× | 1 | valid |
Compiled 20 to 7 computations (65% saved)
ival-add: 7.0ms (35.5% of total)ival-sqrt: 7.0ms (35.5% of total)backward-pass: 3.0ms (15.2% of total)ival-sub: 2.0ms (10.1% of total)const: 1.0ms (5.1% of total)| Inputs |
|---|
#<alt (- (sqrt (+ x 1)) (sqrt x))> |
#<alt (sqrt (+ x 1))> |
#<alt (+ x 1)> |
#<alt (sqrt x)> |
| Outputs |
|---|
#<alt (- 1 (sqrt x))> |
#<alt (- (+ 1 (* 1/2 x)) (sqrt x))> |
#<alt (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))> |
#<alt (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)> |
#<alt (* -1/2 (sqrt (/ 1 x)))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))> |
#<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 (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (- (sqrt (+ x 1)) (sqrt x)) |
| 1.0ms | x | @ | inf | (- (sqrt (+ x 1)) (sqrt x)) |
| 0.0ms | x | @ | 0 | (- (sqrt (+ x 1)) (sqrt x)) |
| 0.0ms | x | @ | -inf | (sqrt x) |
| 0.0ms | x | @ | inf | (+ x 1) |
| 1× | batch-egg-rewrite |
| 2088× | *-lowering-*.f32 |
| 2088× | *-lowering-*.f64 |
| 1794× | fma-lowering-fma.f32 |
| 1794× | fma-lowering-fma.f64 |
| 1676× | fmsub-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 1 | 39 | 16 |
| 2 | 303 | 16 |
| 3 | 3722 | 16 |
| 0 | 8045 | 16 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (sqrt (+ x 1)) (sqrt x)) |
(sqrt (+ x 1)) |
(+ x 1) |
(sqrt x) |
| Outputs |
|---|
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(+.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) (+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (sqrt.f64 x))) |
(+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 x (+.f64 x #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 x (+.f64 x #s(literal 1 binary64))))))) |
(+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))))) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
(-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 x (+.f64 x #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))) (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)))) |
(-.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (sqrt.f64 x)) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))))) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 x (+.f64 x #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 x (+.f64 x #s(literal 1 binary64))))))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 x (+.f64 x #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 x (+.f64 x #s(literal 1 binary64))))))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 x (+.f64 x #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 x (+.f64 x #s(literal 1 binary64))))))) |
(fma.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))))) |
(fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(fma.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(fma.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(fma.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/4 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/4 binary64)) (+.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 x (+.f64 x #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 x (+.f64 x #s(literal 1 binary64))))))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (+.f64 x (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64)))) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (-.f64 (+.f64 x (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (+.f64 x #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 x (+.f64 x #s(literal 1 binary64))))))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)))) (-.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 x (+.f64 x #s(literal 1 binary64))))))) |
(fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) x))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))))) |
(fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (-.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))))) |
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(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) |
(*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (*.f64 x x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) x))) (+.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x))) |
(fabs.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
(pow.f64 x #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) |
| 1× | egg-herbie |
| 2970× | *-lowering-*.f32 |
| 2970× | *-lowering-*.f64 |
| 2056× | +-lowering-+.f64 |
| 2056× | +-lowering-+.f32 |
| 1514× | sum3-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 113 | 434 |
| 1 | 325 | 384 |
| 2 | 1039 | 376 |
| 3 | 3226 | 373 |
| 4 | 7122 | 373 |
| 0 | 8132 | 373 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (sqrt x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
(* 1/2 (sqrt (/ 1 x))) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x) |
(* -1/2 (sqrt (/ 1 x))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)) |
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))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
| Outputs |
|---|
(- 1 (sqrt x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x #s(literal 1/2 binary64))) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (sqrt.f64 x))) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))) |
(* 1/2 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) |
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x) |
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x) |
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) x) |
(* -1/2 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64))) x) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) |
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal -1/16 binary64)))) x) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)) |
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal -1/16 binary64)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) #s(literal 5/128 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 (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 -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(*.f64 x (+.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #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))))) (*.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 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/2 binary64)))) |
(* -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 x (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/2 binary64))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
Compiled 5806 to 837 computations (85.6% saved)
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 257 | 11 | 268 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 257 | 12 | 269 |
| Status | Accuracy | Program |
|---|---|---|
| 54.4% | (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) | |
| 48.2% | (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x) | |
| ▶ | 56.8% | (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))) |
| 53.2% | (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 x)) | |
| ▶ | 54.5% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))) |
| ✓ | 55.2% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| ▶ | 51.4% | (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
| 52.9% | (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))) | |
| ▶ | 53.2% | (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x #s(literal 1/2 binary64))) |
| ▶ | 51.7% | (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (sqrt.f64 x))) |
| 55.7% | (*.f64 (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (-.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) | |
| 50.6% | (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
Compiled 314 to 220 computations (29.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (sqrt.f64 x)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (sqrt.f64 x))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
| ✓ | cost-diff | 0 | (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
| ✓ | cost-diff | 0 | (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))) |
| ✓ | cost-diff | 256 | (+.f64 x (-.f64 #s(literal 1 binary64) x)) |
| 2634× | sum3-define |
| 1822× | fnmadd-define |
| 1714× | fnmsub-define |
| 1586× | fma-lowering-fma.f32 |
| 1586× | fma-lowering-fma.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 154 |
| 1 | 56 | 149 |
| 2 | 127 | 121 |
| 3 | 269 | 120 |
| 4 | 582 | 120 |
| 5 | 1615 | 120 |
| 6 | 4020 | 120 |
| 7 | 7372 | 120 |
| 0 | 8120 | 120 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ x (- 1 x)) (+ (pow (+ x 1) 1/2) (sqrt x))) |
(+ x (- 1 x)) |
x |
(- 1 x) |
1 |
(+ (pow (+ x 1) 1/2) (sqrt x)) |
(pow (+ x 1) 1/2) |
(+ x 1) |
1/2 |
(sqrt x) |
(- 1 (sqrt x)) |
1 |
(sqrt x) |
x |
(+ (- 1 (sqrt x)) (* x 1/2)) |
(- 1 (sqrt x)) |
1 |
(sqrt x) |
x |
(* x 1/2) |
1/2 |
(+ 1 (- (* x (+ 1/2 (* x -1/8))) (sqrt x))) |
1 |
(- (* x (+ 1/2 (* x -1/8))) (sqrt x)) |
(* x (+ 1/2 (* x -1/8))) |
x |
(+ 1/2 (* x -1/8)) |
1/2 |
(* x -1/8) |
-1/8 |
(sqrt x) |
(- (sqrt (+ x 1)) (pow (* x x) 1/4)) |
(sqrt (+ x 1)) |
(+ x 1) |
x |
1 |
(pow (* x x) 1/4) |
(* x x) |
1/4 |
| Outputs |
|---|
(/ (+ x (- 1 x)) (+ (pow (+ x 1) 1/2) (sqrt x))) |
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))) |
(+ x (- 1 x)) |
#s(literal 1 binary64) |
x |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
(+ (pow (+ x 1) 1/2) (sqrt x)) |
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
(pow (+ x 1) 1/2) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(+ x 1) |
(+.f64 x #s(literal 1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(sqrt x) |
(sqrt.f64 x) |
(- 1 (sqrt x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
1 |
#s(literal 1 binary64) |
(sqrt x) |
(sqrt.f64 x) |
x |
(+ (- 1 (sqrt x)) (* x 1/2)) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x))) |
(- 1 (sqrt x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
1 |
#s(literal 1 binary64) |
(sqrt x) |
(sqrt.f64 x) |
x |
(* x 1/2) |
(*.f64 x #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1 (- (* x (+ 1/2 (* x -1/8))) (sqrt x))) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (sqrt.f64 x))) |
1 |
#s(literal 1 binary64) |
(- (* x (+ 1/2 (* x -1/8))) (sqrt x)) |
(-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (sqrt.f64 x)) |
(* x (+ 1/2 (* x -1/8))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) |
x |
(+ 1/2 (* x -1/8)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(* x -1/8) |
(*.f64 x #s(literal -1/8 binary64)) |
-1/8 |
#s(literal -1/8 binary64) |
(sqrt x) |
(sqrt.f64 x) |
(- (sqrt (+ x 1)) (pow (* x x) 1/4)) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))) |
(sqrt (+ x 1)) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(+ x 1) |
(+.f64 x #s(literal 1 binary64)) |
x |
1 |
#s(literal 1 binary64) |
(pow (* x x) 1/4) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(* x x) |
(*.f64 x x) |
1/4 |
#s(literal 1/4 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 55.2% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))) |
| ✓ | accuracy | 50.9% | (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal -1/8 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) |
| ✓ | accuracy | 100.0% | (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (sqrt.f64 x)) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
| ✓ | accuracy | 100.0% | (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
| ✓ | accuracy | 100.0% | (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
| ✓ | accuracy | 99.7% | (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))) |
| ✓ | accuracy | 56.5% | (+.f64 x (-.f64 #s(literal 1 binary64) x)) |
| 94.0ms | 57× | 2 | valid |
| 75.0ms | 65× | 1 | valid |
| 58.0ms | 134× | 0 | valid |
Compiled 144 to 25 computations (82.6% saved)
ival-pow: 27.0ms (26.6% of total)backward-pass: 24.0ms (23.6% of total)ival-sub: 14.0ms (13.8% of total)ival-add: 13.0ms (12.8% of total)ival-mult: 10.0ms (9.8% of total)ival-div: 7.0ms (6.9% of total)ival-sqrt: 7.0ms (6.9% of total)const: 1.0ms (1% of total)| Inputs |
|---|
#<alt (+ x (- 1 x))> |
#<alt (/ (+ x (- 1 x)) (+ (pow (+ x 1) 1/2) (sqrt x)))> |
#<alt (- 1 x)> |
#<alt (+ (pow (+ x 1) 1/2) (sqrt x))> |
#<alt (- 1 (sqrt x))> |
#<alt (sqrt x)> |
#<alt (+ (- 1 (sqrt x)) (* x 1/2))> |
#<alt (* x 1/2)> |
#<alt (+ 1 (- (* x (+ 1/2 (* x -1/8))) (sqrt x)))> |
#<alt (- (* x (+ 1/2 (* x -1/8))) (sqrt x))> |
#<alt (* x (+ 1/2 (* x -1/8)))> |
#<alt (+ 1/2 (* x -1/8))> |
#<alt (- (sqrt (+ x 1)) (pow (* x x) 1/4))> |
#<alt (+ x 1)> |
#<alt (pow (* x x) 1/4)> |
#<alt (* x x)> |
#<alt (pow (+ x 1) 1/2)> |
#<alt (* x -1/8)> |
#<alt (sqrt (+ x 1))> |
| Outputs |
|---|
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt (/ 1 (+ 1 (sqrt x)))> |
#<alt (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))> |
#<alt (+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))> |
#<alt (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)> |
#<alt (/ (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* 1/8 (sqrt (/ 1 x)))) x)> |
#<alt (/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow x 7))) (* 1/32 (sqrt (pow x 7)))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x))))) x)> |
#<alt (* -1/2 (sqrt (/ 1 x)))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))> |
#<alt (* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x))> |
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* 1/128 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6)))) (* 1/32 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6))))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))))) x))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (+ 1 (sqrt x))> |
#<alt (+ 1 (+ (sqrt x) (* 1/2 x)))> |
#<alt (+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))> |
#<alt (+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))> |
#<alt (* 2 (sqrt x))> |
#<alt (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))> |
#<alt (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))> |
#<alt (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))> |
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (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)))) (* 2 (* (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)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))> |
#<alt (- 1 (sqrt x))> |
#<alt (- 1 (sqrt x))> |
#<alt (- 1 (sqrt x))> |
#<alt (- 1 (sqrt x))> |
#<alt (* -1 (sqrt x))> |
#<alt (* x (- (/ 1 x) (sqrt (/ 1 x))))> |
#<alt (* x (- (/ 1 x) (sqrt (/ 1 x))))> |
#<alt (* x (- (/ 1 x) (sqrt (/ 1 x))))> |
#<alt (* (sqrt x) (pow (sqrt -1) 2))> |
#<alt (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))> |
#<alt (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))> |
#<alt (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (- 1 (sqrt x))> |
#<alt (- (+ 1 (* 1/2 x)) (sqrt x))> |
#<alt (- (+ 1 (* 1/2 x)) (sqrt x))> |
#<alt (- (+ 1 (* 1/2 x)) (sqrt x))> |
#<alt (* x (- 1/2 (sqrt (/ 1 x))))> |
#<alt (* x (- (+ 1/2 (/ 1 x)) (sqrt (/ 1 x))))> |
#<alt (* x (- (+ 1/2 (/ 1 x)) (sqrt (/ 1 x))))> |
#<alt (* x (- (+ 1/2 (/ 1 x)) (sqrt (/ 1 x))))> |
#<alt (* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))> |
#<alt (* x (+ 1/2 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))> |
#<alt (* x (+ 1/2 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))> |
#<alt (* x (+ 1/2 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (- 1 (sqrt x))> |
#<alt (- (+ 1 (* 1/2 x)) (sqrt x))> |
#<alt (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))> |
#<alt (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))> |
#<alt (* -1/8 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/8 (sqrt (/ 1 (pow x 3))))))> |
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) (+ 1/8 (sqrt (/ 1 (pow x 3))))))> |
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) (+ 1/8 (sqrt (/ 1 (pow x 3))))))> |
#<alt (* -1/8 (pow x 2))> |
#<alt (* (pow x 2) (- (+ (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) (* 1/2 (/ 1 x))) 1/8))> |
#<alt (* (pow x 2) (- (+ (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) 1/8))> |
#<alt (* (pow x 2) (- (+ (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) 1/8))> |
#<alt (* -1 (sqrt x))> |
#<alt (- (* 1/2 x) (sqrt x))> |
#<alt (- (* x (+ 1/2 (* -1/8 x))) (sqrt x))> |
#<alt (- (* x (+ 1/2 (* -1/8 x))) (sqrt x))> |
#<alt (* -1/8 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/8 (sqrt (/ 1 (pow x 3))))))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/8 (sqrt (/ 1 (pow x 3))))))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/8 (sqrt (/ 1 (pow x 3))))))> |
#<alt (* -1/8 (pow x 2))> |
#<alt (* (pow x 2) (- (+ (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) (* 1/2 (/ 1 x))) 1/8))> |
#<alt (* (pow x 2) (- (+ (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) (* 1/2 (/ 1 x))) 1/8))> |
#<alt (* (pow x 2) (- (+ (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) (* 1/2 (/ 1 x))) 1/8))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1/8 x)))> |
#<alt (* x (+ 1/2 (* -1/8 x)))> |
#<alt (* x (+ 1/2 (* -1/8 x)))> |
#<alt (* -1/8 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))> |
#<alt (* -1/8 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/8 x))> |
#<alt (+ 1/2 (* -1/8 x))> |
#<alt (+ 1/2 (* -1/8 x))> |
#<alt (* -1/8 x)> |
#<alt (* x (- (* 1/2 (/ 1 x)) 1/8))> |
#<alt (* x (- (* 1/2 (/ 1 x)) 1/8))> |
#<alt (* x (- (* 1/2 (/ 1 x)) 1/8))> |
#<alt (* -1/8 x)> |
#<alt (* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))> |
#<alt (- 1 (sqrt x))> |
#<alt (- (+ 1 (* 1/2 x)) (sqrt x))> |
#<alt (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))> |
#<alt (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)> |
#<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))) (* (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)))) (* (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))))) (* (sqrt (/ 1 x)) (sqrt -1)))))> |
#<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 (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (sqrt -1)))> |
#<alt (* -1 (* (sqrt x) (sqrt -1)))> |
#<alt (* -1 (* (sqrt x) (sqrt -1)))> |
#<alt (* -1 (* (sqrt x) (sqrt -1)))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt 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 (* -1/8 x)> |
#<alt (* -1/8 x)> |
#<alt (* -1/8 x)> |
#<alt (* -1/8 x)> |
#<alt (* -1/8 x)> |
#<alt (* -1/8 x)> |
#<alt (* -1/8 x)> |
#<alt (* -1/8 x)> |
#<alt (* -1/8 x)> |
#<alt (* -1/8 x)> |
#<alt (* -1/8 x)> |
#<alt (* -1/8 x)> |
#<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)))))))> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 54.0ms | x | @ | 0 | (- (sqrt (+ x 1)) (pow (* x x) 1/4)) |
| 1.0ms | x | @ | -inf | (+ 1 (- (* x (+ 1/2 (* x -1/8))) (sqrt x))) |
| 1.0ms | x | @ | 0 | (/ (+ x (- 1 x)) (+ (pow (+ x 1) 1/2) (sqrt x))) |
| 1.0ms | x | @ | -inf | (/ (+ x (- 1 x)) (+ (pow (+ x 1) 1/2) (sqrt x))) |
| 1.0ms | x | @ | inf | (/ (+ x (- 1 x)) (+ (pow (+ x 1) 1/2) (sqrt x))) |
| 1× | batch-egg-rewrite |
| 2938× | *-lowering-*.f32 |
| 2938× | *-lowering-*.f64 |
| 2420× | /-lowering-/.f32 |
| 2420× | /-lowering-/.f64 |
| 1926× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 108 |
| 1 | 185 | 91 |
| 2 | 1790 | 91 |
| 0 | 8660 | 91 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (- 1 x)) |
(/ (+ x (- 1 x)) (+ (pow (+ x 1) 1/2) (sqrt x))) |
(- 1 x) |
(+ (pow (+ x 1) 1/2) (sqrt x)) |
(- 1 (sqrt x)) |
(sqrt x) |
(+ (- 1 (sqrt x)) (* x 1/2)) |
(* x 1/2) |
(+ 1 (- (* x (+ 1/2 (* x -1/8))) (sqrt x))) |
(- (* x (+ 1/2 (* x -1/8))) (sqrt x)) |
(* x (+ 1/2 (* x -1/8))) |
(+ 1/2 (* x -1/8)) |
(- (sqrt (+ x 1)) (pow (* x x) 1/4)) |
(+ x 1) |
(pow (* x x) 1/4) |
(* x x) |
(pow (+ x 1) 1/2) |
(* x -1/8) |
(sqrt (+ x 1)) |
| Outputs |
|---|
(+.f64 x (-.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (-.f64 x x)) |
(+.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) x)) |
(+.f64 (-.f64 #s(literal 1 binary64) x) x) |
(+.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x)) |
(+.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (-.f64 #s(literal 0 binary64) x) x)) |
(+.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64) x)) |
(+.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) x)) |
(+.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)) x)) |
(+.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) x)) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (sqrt.f64 x))) |
(-.f64 #s(literal 1 binary64) (-.f64 x x)) |
(-.f64 (+.f64 x #s(literal 1 binary64)) x) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 (+.f64 x #s(literal -1 binary64)) x)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (+.f64 x #s(literal -1 binary64)) x))) |
(fma.f64 x #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal 1 binary64) x (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x)) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (sqrt.f64 x))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (sqrt.f64 x))) |
(fma.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x)))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) x) |
(fma.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (sqrt.f64 x))) |
(fma.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal -1 binary64)) x)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x) |
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/4 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/4 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (sqrt.f64 x))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (sqrt.f64 x))) |
(fma.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) x) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) x) (-.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x)))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 x x) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 x #s(literal -1 binary64)) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) x) (-.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 x x) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) x))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x)) (-.f64 (-.f64 #s(literal 1 binary64) x) x)) |
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 x x)) (+.f64 (+.f64 x #s(literal 1 binary64)) x)) |
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 x x) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (+.f64 x #s(literal -1 binary64)) x)) (*.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) x) (+.f64 (+.f64 x #s(literal -1 binary64)) x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 x x) (*.f64 x (+.f64 x #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))) (neg.f64 (neg.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (neg.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x))) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 x x))) (neg.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x))) |
(pow.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) x) (-.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))) |
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x))))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal -1 binary64)) x))) |
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(+.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) (+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (sqrt.f64 x))) |
(+.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) (fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal 1 binary64) (sqrt.f64 x))) |
(+.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) (fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (sqrt.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)))) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64))))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)))))) |
(-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (/.f64 x (+.f64 (sqrt.f64 x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))))) |
(fma.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) (+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (sqrt.f64 x))) |
(fma.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (sqrt.f64 x))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (sqrt.f64 x))) |
(fma.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64))))) (+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (sqrt.f64 x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (sqrt.f64 x))) |
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(fma.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
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(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log1p.f64 x)) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (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 (-.f64 #s(literal 1 binary64) x) (*.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 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))) |
(*.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/4 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 x #s(literal -1/8 binary64)) |
(*.f64 #s(literal -1/8 binary64) x) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 x))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (*.f64 (log1p.f64 x) #s(literal 1/4 binary64)) (*.f64 (log1p.f64 x) #s(literal 1/4 binary64)))) |
(hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(fabs.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))))) |
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))) |
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))) |
(/.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (sqrt.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sqrt.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))) |
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (+.f64 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 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))) |
(/.f64 (neg.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log1p.f64 x)) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (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 (-.f64 #s(literal 1 binary64) x) (*.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 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))) |
(*.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/4 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)))) |
| 1× | egg-herbie |
| 4768× | *-lowering-*.f32 |
| 4768× | *-lowering-*.f64 |
| 4056× | +-lowering-+.f64 |
| 4056× | +-lowering-+.f32 |
| 1286× | sum3-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 258 | 1931 |
| 1 | 807 | 1699 |
| 2 | 2802 | 1680 |
| 0 | 8388 | 1680 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
(/ 1 (+ 1 (sqrt x))) |
(+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x)))) |
(+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x)))) |
(+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x)))) |
(* 1/2 (sqrt (/ 1 x))) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) |
(/ (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* 1/8 (sqrt (/ 1 x)))) x) |
(/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow x 7))) (* 1/32 (sqrt (pow x 7)))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x))))) x) |
(* -1/2 (sqrt (/ 1 x))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/128 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6)))) (* 1/32 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6))))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))))) x)) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(+ 1 (sqrt x)) |
(+ 1 (+ (sqrt x) (* 1/2 x))) |
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x))))) |
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) |
(* 2 (sqrt x)) |
(* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (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)))) (* 2 (* (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)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
(- 1 (sqrt x)) |
(- 1 (sqrt x)) |
(- 1 (sqrt x)) |
(- 1 (sqrt x)) |
(* -1 (sqrt x)) |
(* x (- (/ 1 x) (sqrt (/ 1 x)))) |
(* x (- (/ 1 x) (sqrt (/ 1 x)))) |
(* x (- (/ 1 x) (sqrt (/ 1 x)))) |
(* (sqrt x) (pow (sqrt -1) 2)) |
(* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))) |
(* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))) |
(* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(- 1 (sqrt x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(* x (- 1/2 (sqrt (/ 1 x)))) |
(* x (- (+ 1/2 (/ 1 x)) (sqrt (/ 1 x)))) |
(* x (- (+ 1/2 (/ 1 x)) (sqrt (/ 1 x)))) |
(* x (- (+ 1/2 (/ 1 x)) (sqrt (/ 1 x)))) |
(* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* x (+ 1/2 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))) |
(* x (+ 1/2 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))) |
(* x (+ 1/2 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(- 1 (sqrt x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(* -1/8 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/8 (sqrt (/ 1 (pow x 3)))))) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) (+ 1/8 (sqrt (/ 1 (pow x 3)))))) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) (+ 1/8 (sqrt (/ 1 (pow x 3)))))) |
(* -1/8 (pow x 2)) |
(* (pow x 2) (- (+ (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) (* 1/2 (/ 1 x))) 1/8)) |
(* (pow x 2) (- (+ (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) 1/8)) |
(* (pow x 2) (- (+ (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) 1/8)) |
(* -1 (sqrt x)) |
(- (* 1/2 x) (sqrt x)) |
(- (* x (+ 1/2 (* -1/8 x))) (sqrt x)) |
(- (* x (+ 1/2 (* -1/8 x))) (sqrt x)) |
(* -1/8 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/8 (sqrt (/ 1 (pow x 3)))))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/8 (sqrt (/ 1 (pow x 3)))))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/8 (sqrt (/ 1 (pow x 3)))))) |
(* -1/8 (pow x 2)) |
(* (pow x 2) (- (+ (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) (* 1/2 (/ 1 x))) 1/8)) |
(* (pow x 2) (- (+ (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) (* 1/2 (/ 1 x))) 1/8)) |
(* (pow x 2) (- (+ (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) (* 1/2 (/ 1 x))) 1/8)) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/8 x))) |
(* x (+ 1/2 (* -1/8 x))) |
(* x (+ 1/2 (* -1/8 x))) |
(* -1/8 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(* -1/8 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
1/2 |
(+ 1/2 (* -1/8 x)) |
(+ 1/2 (* -1/8 x)) |
(+ 1/2 (* -1/8 x)) |
(* -1/8 x) |
(* x (- (* 1/2 (/ 1 x)) 1/8)) |
(* x (- (* 1/2 (/ 1 x)) 1/8)) |
(* x (- (* 1/2 (/ 1 x)) 1/8)) |
(* -1/8 x) |
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x))))) |
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x))))) |
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x))))) |
(- 1 (sqrt x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
(* 1/2 (sqrt (/ 1 x))) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x) |
(* -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))) (* (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)))) (* (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))))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
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))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (sqrt -1))) |
(* -1 (* (sqrt x) (sqrt -1))) |
(* -1 (* (sqrt x) (sqrt -1))) |
(* -1 (* (sqrt x) (sqrt -1))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
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))))))) |
(* -1/8 x) |
(* -1/8 x) |
(* -1/8 x) |
(* -1/8 x) |
(* -1/8 x) |
(* -1/8 x) |
(* -1/8 x) |
(* -1/8 x) |
(* -1/8 x) |
(* -1/8 x) |
(* -1/8 x) |
(* -1/8 x) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
(/ 1 (+ 1 (sqrt x))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 (*.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) |
(+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x)))) |
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(+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x)))) |
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(* 1/2 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(/ (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* 1/8 (sqrt (/ 1 x)))) x) |
(/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))))) x) |
(/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow x 7))) (* 1/32 (sqrt (pow x 7)))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x))))) x) |
(/.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal -5/128 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)))))) x) |
(* -1/2 (sqrt (/ 1 x))) |
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) |
(* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x)) |
(/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) x) |
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/128 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6)))) (* 1/32 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6))))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))))) x)) |
(/.f64 (+.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 (/.f64 (sqrt.f64 (pow.f64 x #s(literal 7 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (-.f64 #s(literal 0 binary64) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (sqrt x)) |
(+.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(+ 1 (+ (sqrt x) (* 1/2 x))) |
(+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (*.f64 x #s(literal 1/2 binary64)))) |
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))))) |
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))) |
(* 2 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))) |
(*.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.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 (sqrt x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(- 1 (sqrt x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(- 1 (sqrt x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(- 1 (sqrt x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(* -1 (sqrt x)) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 x)) |
(* x (- (/ 1 x) (sqrt (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) x))) |
(* x (- (/ 1 x) (sqrt (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) x))) |
(* x (- (/ 1 x) (sqrt (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) x))) |
(* (sqrt x) (pow (sqrt -1) 2)) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 x)) |
(* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) x))) |
(* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) x))) |
(* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) x))) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(- 1 (sqrt x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(* x (- 1/2 (sqrt (/ 1 x)))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(* x (- (+ 1/2 (/ 1 x)) (sqrt (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* x (- (+ 1/2 (/ 1 x)) (sqrt (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* x (- (+ 1/2 (/ 1 x)) (sqrt (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(* x (+ 1/2 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* x (+ 1/2 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* x (+ 1/2 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(- 1 (sqrt x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(* -1/8 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/8 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)))))) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) (+ 1/8 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)))))) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) (+ 1/8 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)))))) |
(* -1/8 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
(* (pow x 2) (- (+ (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) (* 1/2 (/ 1 x))) 1/8)) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)))))) |
(* (pow x 2) (- (+ (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) 1/8)) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)))))) |
(* (pow x 2) (- (+ (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) 1/8)) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)))))) |
(* -1 (sqrt x)) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 x)) |
(- (* 1/2 x) (sqrt x)) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x)) |
(- (* x (+ 1/2 (* -1/8 x))) (sqrt x)) |
(-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (sqrt.f64 x)) |
(- (* x (+ 1/2 (* -1/8 x))) (sqrt x)) |
(-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (sqrt.f64 x)) |
(* -1/8 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/8 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)))))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/8 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)))))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/8 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)))))) |
(* -1/8 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
(* (pow x 2) (- (+ (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) (* 1/2 (/ 1 x))) 1/8)) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)))))) |
(* (pow x 2) (- (+ (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) (* 1/2 (/ 1 x))) 1/8)) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)))))) |
(* (pow x 2) (- (+ (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) (* 1/2 (/ 1 x))) 1/8)) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)))))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* -1/8 x))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) |
(* x (+ 1/2 (* -1/8 x))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) |
(* x (+ 1/2 (* -1/8 x))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) |
(* -1/8 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) |
(* -1/8 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/8 x)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64))) |
(+ 1/2 (* -1/8 x)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64))) |
(+ 1/2 (* -1/8 x)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64))) |
(* -1/8 x) |
(*.f64 x #s(literal -1/8 binary64)) |
(* x (- (* 1/2 (/ 1 x)) 1/8)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64))) |
(* x (- (* 1/2 (/ 1 x)) 1/8)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64))) |
(* x (- (* 1/2 (/ 1 x)) 1/8)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64))) |
(* -1/8 x) |
(*.f64 x #s(literal -1/8 binary64)) |
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64))) |
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64))) |
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64))) |
(- 1 (sqrt x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(* 1/2 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x) |
(/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x) |
(/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64)) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)))))) x) |
(* -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))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) |
(* -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)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) |
(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.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 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (sqrt -1))) |
(*.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (sqrt x) (sqrt -1))) |
(*.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (sqrt x) (sqrt -1))) |
(*.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (sqrt x) (sqrt -1))) |
(*.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64))))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))) |
(sqrt x) |
(sqrt.f64 x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x 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 -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)))))) |
(* 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 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal 1/16 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 (/.f64 #s(literal 1 binary64) (*.f64 x 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 1/8 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 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (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 #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 (/.f64 #s(literal 1 binary64) (*.f64 x 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))))))) |
(* -1/8 x) |
(*.f64 x #s(literal -1/8 binary64)) |
(* -1/8 x) |
(*.f64 x #s(literal -1/8 binary64)) |
(* -1/8 x) |
(*.f64 x #s(literal -1/8 binary64)) |
(* -1/8 x) |
(*.f64 x #s(literal -1/8 binary64)) |
(* -1/8 x) |
(*.f64 x #s(literal -1/8 binary64)) |
(* -1/8 x) |
(*.f64 x #s(literal -1/8 binary64)) |
(* -1/8 x) |
(*.f64 x #s(literal -1/8 binary64)) |
(* -1/8 x) |
(*.f64 x #s(literal -1/8 binary64)) |
(* -1/8 x) |
(*.f64 x #s(literal -1/8 binary64)) |
(* -1/8 x) |
(*.f64 x #s(literal -1/8 binary64)) |
(* -1/8 x) |
(*.f64 x #s(literal -1/8 binary64)) |
(* -1/8 x) |
(*.f64 x #s(literal -1/8 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64))))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))) |
(sqrt x) |
(sqrt.f64 x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x 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 -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)))))) |
(* 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 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal 1/16 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 (/.f64 #s(literal 1 binary64) (*.f64 x 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 1/8 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 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (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 #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 (/.f64 #s(literal 1 binary64) (*.f64 x 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))))))) |
Compiled 23992 to 2368 computations (90.1% saved)
17 alts after pruning (14 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1118 | 12 | 1130 |
| Fresh | 4 | 2 | 6 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1125 | 17 | 1142 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 48.2% | (/.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
| 56.8% | (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 x))) | |
| 56.8% | (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)))) | |
| 56.8% | (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))))) (sqrt.f64 x))) | |
| 53.4% | (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (+.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.f64 x))) | |
| ▶ | 7.5% | (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
| ▶ | 99.7% | (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))) |
| ▶ | 59.7% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
| 53.2% | (-.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 x)) | |
| ✓ | 55.2% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 53.2% | (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1/2 binary64) x))) | |
| ✓ | 51.4% | (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
| 52.9% | (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))) | |
| ✓ | 51.7% | (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (sqrt.f64 x))) |
| 50.5% | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) | |
| ▶ | 1.9% | (*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
| 50.6% | (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
Compiled 392 to 278 computations (29.1% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 128 | (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
| ✓ | cost-diff | 256 | (+.f64 x (-.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -1/8 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))) |
| ✓ | cost-diff | 64 | (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
| 2218× | sum3-define |
| 2116× | fmsub-define |
| 2070× | fnmsub-define |
| 1954× | fmm-def |
| 1914× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 113 |
| 1 | 57 | 112 |
| 2 | 100 | 106 |
| 3 | 186 | 106 |
| 4 | 318 | 106 |
| 5 | 515 | 106 |
| 6 | 926 | 106 |
| 7 | 1562 | 106 |
| 8 | 2971 | 106 |
| 9 | 5979 | 106 |
| 0 | 8501 | 106 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (+ (pow (+ x 1) 1/2) (sqrt x))) |
1 |
(+ (pow (+ x 1) 1/2) (sqrt x)) |
(pow (+ x 1) 1/2) |
(+ x 1) |
x |
1/2 |
(sqrt x) |
(* x (* x -1/8)) |
x |
(* x -1/8) |
-1/8 |
(/ 1 (+ 1 (sqrt x))) |
1 |
(+ 1 (sqrt x)) |
(sqrt x) |
x |
(/ (+ x (- 1 x)) (* (sqrt x) 2)) |
(+ x (- 1 x)) |
x |
(- 1 x) |
1 |
(* (sqrt x) 2) |
(sqrt x) |
2 |
(/ (- (* (sqrt x) 1/2) (* 1/8 (sqrt (/ 1 x)))) x) |
(- (* (sqrt x) 1/2) (* 1/8 (sqrt (/ 1 x)))) |
(* (sqrt x) 1/2) |
(sqrt x) |
x |
1/2 |
(* 1/8 (sqrt (/ 1 x))) |
1/8 |
(sqrt (/ 1 x)) |
(/ 1 x) |
1 |
| Outputs |
|---|
(/ 1 (+ (pow (+ x 1) 1/2) (sqrt x))) |
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ (pow (+ x 1) 1/2) (sqrt x)) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
(pow (+ x 1) 1/2) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+ x 1) |
(+.f64 #s(literal 1 binary64) x) |
x |
1/2 |
#s(literal 1/2 binary64) |
(sqrt x) |
(sqrt.f64 x) |
(* x (* x -1/8)) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
x |
(* x -1/8) |
(*.f64 x #s(literal -1/8 binary64)) |
-1/8 |
#s(literal -1/8 binary64) |
(/ 1 (+ 1 (sqrt x))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (sqrt x)) |
(+.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(sqrt x) |
(sqrt.f64 x) |
x |
(/ (+ x (- 1 x)) (* (sqrt x) 2)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(+ x (- 1 x)) |
#s(literal 1 binary64) |
x |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
(* (sqrt x) 2) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
2 |
#s(literal 2 binary64) |
(/ (- (* (sqrt x) 1/2) (* 1/8 (sqrt (/ 1 x)))) x) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(- (* (sqrt x) 1/2) (* 1/8 (sqrt (/ 1 x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(* (sqrt x) 1/2) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(sqrt x) |
(sqrt.f64 x) |
x |
1/2 |
#s(literal 1/2 binary64) |
(* 1/8 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
1/8 |
#s(literal 1/8 binary64) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (-.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
| ✓ | accuracy | 99.7% | (/.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
| ✓ | accuracy | 99.5% | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.5% | (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
| ✓ | accuracy | 56.5% | (+.f64 x (-.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
| ✓ | accuracy | 100.0% | (*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal -1/8 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))) |
| 146.0ms | 144× | 0 | valid |
| 128.0ms | 112× | 1 | valid |
Compiled 131 to 26 computations (80.2% saved)
ival-mult: 19.0ms (24% of total)ival-div: 15.0ms (19% of total)ival-add: 14.0ms (17.7% of total)ival-sqrt: 10.0ms (12.7% of total)ival-pow: 9.0ms (11.4% of total)backward-pass: 8.0ms (10.1% of total)ival-sub: 4.0ms (5.1% of total)const: 1.0ms (1.3% of total)| Inputs |
|---|
#<alt (pow (+ x 1) 1/2)> |
#<alt (/ 1 (+ (pow (+ x 1) 1/2) (sqrt x)))> |
#<alt (+ (pow (+ x 1) 1/2) (sqrt x))> |
#<alt (+ x 1)> |
#<alt (* x (* x -1/8))> |
#<alt (* x -1/8)> |
#<alt (/ 1 (+ 1 (sqrt x)))> |
#<alt (+ 1 (sqrt x))> |
#<alt (sqrt x)> |
#<alt (+ x (- 1 x))> |
#<alt (/ (+ x (- 1 x)) (* (sqrt x) 2))> |
#<alt (- 1 x)> |
#<alt (* (sqrt x) 2)> |
#<alt (/ (- (* (sqrt x) 1/2) (* 1/8 (sqrt (/ 1 x)))) x)> |
#<alt (- (* (sqrt x) 1/2) (* 1/8 (sqrt (/ 1 x))))> |
#<alt (* (sqrt x) 1/2)> |
#<alt (sqrt (/ 1 x))> |
| Outputs |
|---|
#<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 (+ 1 (sqrt x)))> |
#<alt (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))> |
#<alt (+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))> |
#<alt (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)> |
#<alt (/ (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* 1/8 (sqrt (/ 1 x)))) x)> |
#<alt (/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow x 7))) (* 1/32 (sqrt (pow x 7)))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x))))) x)> |
#<alt (* -1/2 (sqrt (/ 1 x)))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))> |
#<alt (* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x))> |
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* 1/128 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6)))) (* 1/32 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6))))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))))) x))> |
#<alt (+ 1 (sqrt x))> |
#<alt (+ 1 (+ (sqrt x) (* 1/2 x)))> |
#<alt (+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))> |
#<alt (+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))> |
#<alt (* 2 (sqrt x))> |
#<alt (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))> |
#<alt (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))> |
#<alt (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))> |
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (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)))) (* 2 (* (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)))) (* 2 (* (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 (* -1/8 (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 (* -1/8 x)> |
#<alt (* -1/8 x)> |
#<alt (* -1/8 x)> |
#<alt (* -1/8 x)> |
#<alt (* -1/8 x)> |
#<alt (* -1/8 x)> |
#<alt (* -1/8 x)> |
#<alt (* -1/8 x)> |
#<alt (* -1/8 x)> |
#<alt (* -1/8 x)> |
#<alt (* -1/8 x)> |
#<alt (* -1/8 x)> |
#<alt (/ 1 (+ 1 (sqrt x)))> |
#<alt (/ 1 (+ 1 (sqrt x)))> |
#<alt (/ 1 (+ 1 (sqrt x)))> |
#<alt (/ 1 (+ 1 (sqrt x)))> |
#<alt (sqrt (/ 1 x))> |
#<alt (/ (- (sqrt x) 1) x)> |
#<alt (/ (- (+ (sqrt x) (sqrt (/ 1 x))) 1) x)> |
#<alt (/ (- (sqrt x) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (/ 1 x)))) x)> |
#<alt (* -1 (sqrt (/ 1 x)))> |
#<alt (* -1 (/ (- (sqrt x) (/ 1 (pow (sqrt -1) 2))) x))> |
#<alt (* -1 (/ (+ (sqrt x) (* -1 (/ (- (* -1 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* -1 (/ x (pow (sqrt -1) 2)))) x))) x))> |
#<alt (* -1 (/ (+ (sqrt x) (* -1 (/ (- (* -1 (/ (- (/ x (pow (sqrt -1) 4)) (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1 (/ x (pow (sqrt -1) 2)))) x))) x))> |
#<alt (+ 1 (sqrt x))> |
#<alt (+ 1 (sqrt x))> |
#<alt (+ 1 (sqrt x))> |
#<alt (+ 1 (sqrt x))> |
#<alt (sqrt x)> |
#<alt (* x (+ (sqrt (/ 1 x)) (/ 1 x)))> |
#<alt (* x (+ (sqrt (/ 1 x)) (/ 1 x)))> |
#<alt (* x (+ (sqrt (/ 1 x)) (/ 1 x)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))> |
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))> |
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* 2 (sqrt x))> |
#<alt (* 2 (sqrt x))> |
#<alt (* 2 (sqrt x))> |
#<alt (* 2 (sqrt x))> |
#<alt (* 2 (sqrt x))> |
#<alt (* 2 (sqrt x))> |
#<alt (* 2 (sqrt x))> |
#<alt (* 2 (sqrt x))> |
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1/8 (sqrt (/ 1 (pow x 3))))> |
#<alt (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))> |
#<alt (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))> |
#<alt (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))> |
#<alt (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))> |
#<alt (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))> |
#<alt (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))> |
#<alt (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))> |
#<alt (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))> |
#<alt (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))> |
#<alt (* -1/8 (sqrt (/ 1 x)))> |
#<alt (/ (- (* 1/2 (sqrt (pow x 3))) (* 1/8 (sqrt x))) x)> |
#<alt (/ (- (* 1/2 (sqrt (pow x 3))) (* 1/8 (sqrt x))) x)> |
#<alt (/ (- (* 1/2 (sqrt (pow x 3))) (* 1/8 (sqrt x))) x)> |
#<alt (* 1/2 (sqrt x))> |
#<alt (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))> |
#<alt (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))> |
#<alt (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))> |
#<alt (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (* 1/2 (sqrt x))> |
#<alt (* 1/2 (sqrt x))> |
#<alt (* 1/2 (sqrt x))> |
#<alt (* 1/2 (sqrt x))> |
#<alt (* 1/2 (sqrt x))> |
#<alt (* 1/2 (sqrt x))> |
#<alt (* 1/2 (sqrt x))> |
#<alt (* 1/2 (sqrt x))> |
#<alt (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | x | @ | 0 | (* (sqrt x) 2) |
| 1.0ms | x | @ | -inf | (/ (- (* (sqrt x) 1/2) (* 1/8 (sqrt (/ 1 x)))) x) |
| 1.0ms | x | @ | -inf | (/ (+ x (- 1 x)) (* (sqrt x) 2)) |
| 0.0ms | x | @ | 0 | (/ (- (* (sqrt x) 1/2) (* 1/8 (sqrt (/ 1 x)))) x) |
| 0.0ms | x | @ | -inf | (/ 1 (+ 1 (sqrt x))) |
| 1× | batch-egg-rewrite |
| 3916× | /-lowering-/.f32 |
| 3916× | /-lowering-/.f64 |
| 3064× | *-lowering-*.f32 |
| 3064× | *-lowering-*.f64 |
| 1976× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 90 |
| 1 | 168 | 86 |
| 2 | 1328 | 85 |
| 0 | 8675 | 85 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow (+ x 1) 1/2) |
(/ 1 (+ (pow (+ x 1) 1/2) (sqrt x))) |
(+ (pow (+ x 1) 1/2) (sqrt x)) |
(+ x 1) |
(* x (* x -1/8)) |
(* x -1/8) |
(/ 1 (+ 1 (sqrt x))) |
(+ 1 (sqrt x)) |
(sqrt x) |
(+ x (- 1 x)) |
(/ (+ x (- 1 x)) (* (sqrt x) 2)) |
(- 1 x) |
(* (sqrt x) 2) |
(/ (- (* (sqrt x) 1/2) (* 1/8 (sqrt (/ 1 x)))) x) |
(- (* (sqrt x) 1/2) (* 1/8 (sqrt (/ 1 x)))) |
(* (sqrt x) 1/2) |
(sqrt (/ 1 x)) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 x))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (*.f64 (log1p.f64 x) #s(literal 1/4 binary64)) (*.f64 (log1p.f64 x) #s(literal 1/4 binary64)))) |
(hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(fabs.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))) |
(/.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (sqrt.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sqrt.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))) |
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (sqrt.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))) |
(/.f64 (neg.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log1p.f64 x)) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))) |
(*.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/4 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (/.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) x))) (/.f64 (sqrt.f64 x) (+.f64 x (-.f64 #s(literal 1 binary64) x)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)))))) |
(/.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) (+.f64 x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64))))) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))) (-.f64 #s(literal 0 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x)))) |
(pow.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
(+.f64 (sqrt.f64 x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))) (/.f64 x (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))) (/.f64 (-.f64 x x) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)))) |
(-.f64 (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))) #s(literal 1 binary64)) (/.f64 (/.f64 x (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 (+.f64 x #s(literal -1 binary64)) x)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (+.f64 x #s(literal -1 binary64)) x)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)))) (/.f64 (-.f64 x x) (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))))) |
(-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)))) (/.f64 x (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 (+.f64 x #s(literal -1 binary64)) x)) (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)))) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (+.f64 x #s(literal -1 binary64)) x)) (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)))) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)))) |
(-.f64 (/.f64 x (-.f64 (sqrt.f64 x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))))) |
(fma.f64 #s(literal 1 binary64) (sqrt.f64 x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (sqrt.f64 x) #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 x)) |
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))) (+.f64 x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (-.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64))))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (-.f64 x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) |
(/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))) |
(/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64))))) |
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(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)))) (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal 3/2 binary64)))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (*.f64 x #s(literal 1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x #s(literal 1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64))))) (neg.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 2 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) #s(literal 3 binary64))) (+.f64 (*.f64 x #s(literal 1/4 binary64)) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 3 binary64)) (pow.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) (+.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))))) (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (+.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))))) |
(/.f64 (+.f64 (/.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal 3/2 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (-.f64 (*.f64 x #s(literal 1/4 binary64)) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) #s(literal 3 binary64))) (+.f64 (*.f64 x #s(literal 1/4 binary64)) (+.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) (-.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 (+.f64 (*.f64 x #s(literal 1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 (+.f64 (*.f64 x #s(literal 1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 (+.f64 (*.f64 x #s(literal 1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))))) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 (+.f64 (*.f64 x #s(literal 1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))))))) (+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 (+.f64 (*.f64 x #s(literal 1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))))) (/.f64 (/.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 (+.f64 (*.f64 x #s(literal 1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))))))) (*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 (+.f64 (*.f64 x #s(literal 1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))))) (/.f64 (/.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 (+.f64 (*.f64 x #s(literal 1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) (/.f64 (*.f64 x #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))))) (+.f64 (*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))))) (*.f64 (/.f64 (*.f64 x #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 x #s(literal 1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))))) |
(/.f64 x (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (sqrt.f64 x) #s(literal -2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x #s(literal 2 binary64))) |
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 2 binary64)) (/.f64 (sqrt.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)))) |
(fabs.f64 (pow.f64 x #s(literal -1/2 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt.f64 (/.f64 x (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 (sqrt.f64 x) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) |
(/.f64 (neg.f64 (sqrt.f64 x)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)))) |
(pow.f64 x #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 x) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) x) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) x)) |
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x))) |
| 1× | egg-herbie |
| 3824× | *-lowering-*.f32 |
| 3824× | *-lowering-*.f64 |
| 3358× | +-lowering-+.f64 |
| 3358× | +-lowering-+.f32 |
| 1722× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 256 | 1624 |
| 1 | 826 | 1401 |
| 2 | 2987 | 1391 |
| 0 | 8661 | 1391 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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 (sqrt x))) |
(+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x)))) |
(+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x)))) |
(+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x)))) |
(* 1/2 (sqrt (/ 1 x))) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) |
(/ (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* 1/8 (sqrt (/ 1 x)))) x) |
(/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow x 7))) (* 1/32 (sqrt (pow x 7)))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x))))) x) |
(* -1/2 (sqrt (/ 1 x))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/128 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6)))) (* 1/32 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6))))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))))) x)) |
(+ 1 (sqrt x)) |
(+ 1 (+ (sqrt x) (* 1/2 x))) |
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x))))) |
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) |
(* 2 (sqrt x)) |
(* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (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)))) (* 2 (* (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)))) (* 2 (* (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))) |
(* -1/8 (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)) |
(* -1/8 x) |
(* -1/8 x) |
(* -1/8 x) |
(* -1/8 x) |
(* -1/8 x) |
(* -1/8 x) |
(* -1/8 x) |
(* -1/8 x) |
(* -1/8 x) |
(* -1/8 x) |
(* -1/8 x) |
(* -1/8 x) |
(/ 1 (+ 1 (sqrt x))) |
(/ 1 (+ 1 (sqrt x))) |
(/ 1 (+ 1 (sqrt x))) |
(/ 1 (+ 1 (sqrt x))) |
(sqrt (/ 1 x)) |
(/ (- (sqrt x) 1) x) |
(/ (- (+ (sqrt x) (sqrt (/ 1 x))) 1) x) |
(/ (- (sqrt x) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (/ 1 x)))) x) |
(* -1 (sqrt (/ 1 x))) |
(* -1 (/ (- (sqrt x) (/ 1 (pow (sqrt -1) 2))) x)) |
(* -1 (/ (+ (sqrt x) (* -1 (/ (- (* -1 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* -1 (/ x (pow (sqrt -1) 2)))) x))) x)) |
(* -1 (/ (+ (sqrt x) (* -1 (/ (- (* -1 (/ (- (/ x (pow (sqrt -1) 4)) (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1 (/ x (pow (sqrt -1) 2)))) x))) x)) |
(+ 1 (sqrt x)) |
(+ 1 (sqrt x)) |
(+ 1 (sqrt x)) |
(+ 1 (sqrt x)) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (/ 1 x))) |
(* x (+ (sqrt (/ 1 x)) (/ 1 x))) |
(* x (+ (sqrt (/ 1 x)) (/ 1 x))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
(* 1/2 (sqrt (/ 1 x))) |
(* 1/2 (sqrt (/ 1 x))) |
(* 1/2 (sqrt (/ 1 x))) |
(* 1/2 (sqrt (/ 1 x))) |
(* 1/2 (sqrt (/ 1 x))) |
(* 1/2 (sqrt (/ 1 x))) |
(* 1/2 (sqrt (/ 1 x))) |
(* 1/2 (sqrt (/ 1 x))) |
(* 1/2 (sqrt (/ 1 x))) |
(* 1/2 (sqrt (/ 1 x))) |
(* 1/2 (sqrt (/ 1 x))) |
(* 1/2 (sqrt (/ 1 x))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* 2 (sqrt x)) |
(* 2 (sqrt x)) |
(* 2 (sqrt x)) |
(* 2 (sqrt x)) |
(* 2 (sqrt x)) |
(* 2 (sqrt x)) |
(* 2 (sqrt x)) |
(* 2 (sqrt x)) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1/8 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2)) |
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2)) |
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2)) |
(* 1/2 (sqrt (/ 1 x))) |
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) |
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) |
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) |
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) |
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) |
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) |
(* -1/8 (sqrt (/ 1 x))) |
(/ (- (* 1/2 (sqrt (pow x 3))) (* 1/8 (sqrt x))) x) |
(/ (- (* 1/2 (sqrt (pow x 3))) (* 1/8 (sqrt x))) x) |
(/ (- (* 1/2 (sqrt (pow x 3))) (* 1/8 (sqrt x))) x) |
(* 1/2 (sqrt x)) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) |
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* 1/2 (sqrt x)) |
(* 1/2 (sqrt x)) |
(* 1/2 (sqrt x)) |
(* 1/2 (sqrt x)) |
(* 1/2 (sqrt x)) |
(* 1/2 (sqrt x)) |
(* 1/2 (sqrt x)) |
(* 1/2 (sqrt x)) |
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(+ 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 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (+.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)))))) (*.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 (-.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 #s(literal 0 binary64) x)) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(-.f64 #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 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (-.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 0 binary64) x)) |
(/ 1 (+ 1 (sqrt x))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 (*.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) |
(+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))))) |
(+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x (+.f64 (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))) (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))))) |
(* 1/2 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) |
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) |
(/ (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* 1/8 (sqrt (/ 1 x)))) x) |
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) x) |
(/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow x 7))) (* 1/32 (sqrt (pow x 7)))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x))))) x) |
(/.f64 (+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))) x) |
(* -1/2 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64))) x) |
(* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x)) |
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/128 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6)))) (* 1/32 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6))))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))))) x)) |
(/.f64 (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (/.f64 (*.f64 (/.f64 (sqrt.f64 (pow.f64 x #s(literal 7 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) #s(literal -5/128 binary64)) (pow.f64 x #s(literal 6 binary64)))) (-.f64 #s(literal 0 binary64) x)) |
(+ 1 (sqrt x)) |
(+.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(+ 1 (+ (sqrt x) (* 1/2 x))) |
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x))) |
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x))))) |
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) |
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(* 2 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))) |
(*.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)) #s(literal 2 binary64)))) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))) |
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(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
Compiled 20424 to 2903 computations (85.8% saved)
32 alts after pruning (27 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1010 | 22 | 1032 |
| Fresh | 4 | 5 | 9 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1017 | 32 | 1049 |
| Status | Accuracy | Program |
|---|---|---|
| 5.6% | (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x)) (-.f64 (-.f64 #s(literal 1 binary64) x) x)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) | |
| 6.7% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) | |
| 5.4% | (/.f64 (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) | |
| 7.5% | (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) | |
| 48.2% | (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x) | |
| 5.9% | (/.f64 (+.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) | |
| 5.9% | (/.f64 (+.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) | |
| 5.5% | (/.f64 (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) | |
| 50.6% | (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) | |
| 5.6% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (+.f64 (+.f64 x #s(literal -1 binary64)) x)) (-.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) | |
| 76.7% | (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 x))) | |
| 99.7% | (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 x (sqrt.f64 x)))) | |
| ▶ | 53.6% | (/.f64 #s(literal 1 binary64) (+.f64 (+.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.f64 x))) |
| 52.9% | (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64))))) (sqrt.f64 x))) | |
| 54.5% | (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x))) | |
| ▶ | 99.7% | (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
| ✓ | 59.7% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
| 50.5% | (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) | |
| 12.6% | (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) | |
| 48.1% | (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)))) | |
| 53.2% | (-.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 x)) | |
| ✓ | 55.2% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| ▶ | 53.2% | (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1/2 binary64) x))) |
| ✓ | 51.4% | (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
| 52.9% | (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))) | |
| 48.2% | (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) | |
| ✓ | 51.7% | (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (sqrt.f64 x))) |
| ▶ | 50.5% | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) |
| ▶ | 6.5% | (*.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x))))) |
| ✓ | 1.9% | (*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
| 50.6% | (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) | |
| 12.5% | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
Compiled 957 to 573 computations (40.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
| ✓ | cost-diff | 256 | (+.f64 x (-.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 1920 | (*.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) |
| ✓ | cost-diff | 0 | (+.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))))))) |
| ✓ | cost-diff | 0 | (+.f64 (+.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.f64 x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 (+.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.f64 x))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) x) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1/2 binary64) x)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1/2 binary64) x))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -1/8 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
| 3170× | *-lowering-*.f32 |
| 3170× | *-lowering-*.f64 |
| 2332× | +-lowering-+.f64 |
| 2332× | +-lowering-+.f32 |
| 1490× | --lowering--.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 262 |
| 1 | 92 | 241 |
| 2 | 255 | 231 |
| 3 | 764 | 201 |
| 4 | 2994 | 201 |
| 5 | 6614 | 201 |
| 0 | 8248 | 201 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (+ (sqrt (+ x 1)) (sqrt x))) |
1 |
(+ (sqrt (+ x 1)) (sqrt x)) |
(sqrt (+ x 1)) |
(+ x 1) |
x |
(sqrt x) |
(+ 1 (* x (* x -1/8))) |
1 |
(* x (* x -1/8)) |
x |
(* x -1/8) |
-1/8 |
(- 1 (+ (sqrt x) (* -1/2 x))) |
1 |
(+ (sqrt x) (* -1/2 x)) |
(sqrt x) |
x |
(* -1/2 x) |
-1/2 |
(/ 1 (+ (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))) (sqrt x))) |
1 |
(+ (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))) (sqrt x)) |
(+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))) |
(* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))) |
x |
(+ 1/2 (* x (+ -1/8 (* x 1/16)))) |
1/2 |
(* x (+ -1/8 (* x 1/16))) |
(+ -1/8 (* x 1/16)) |
-1/8 |
(* x 1/16) |
1/16 |
(sqrt x) |
(* (/ (+ (* x x) (* (- 1 x) (- (- 1 x) x))) (* (sqrt x) 2)) (/ (+ x (- 1 x)) (+ (* x x) (* (- 1 x) (- (- 1 x) x))))) |
(/ (+ (* x x) (* (- 1 x) (- (- 1 x) x))) (* (sqrt x) 2)) |
(+ (* x x) (* (- 1 x) (- (- 1 x) x))) |
(* x x) |
x |
(* (- 1 x) (- (- 1 x) x)) |
(- 1 x) |
1 |
(- (- 1 x) x) |
(* (sqrt x) 2) |
(sqrt x) |
2 |
(/ (+ x (- 1 x)) (+ (* x x) (* (- 1 x) (- (- 1 x) x)))) |
(+ x (- 1 x)) |
| Outputs |
|---|
(/ 1 (+ (sqrt (+ x 1)) (sqrt x))) |
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ (sqrt (+ x 1)) (sqrt x)) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
(sqrt (+ x 1)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+ x 1) |
(+.f64 #s(literal 1 binary64) x) |
x |
(sqrt x) |
(sqrt.f64 x) |
(+ 1 (* x (* x -1/8))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(* x (* x -1/8)) |
(*.f64 #s(literal -1/8 binary64) (*.f64 x x)) |
x |
(* x -1/8) |
(*.f64 x #s(literal -1/8 binary64)) |
-1/8 |
#s(literal -1/8 binary64) |
(- 1 (+ (sqrt x) (* -1/2 x))) |
(+.f64 (/.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ (sqrt x) (* -1/2 x)) |
(+.f64 (sqrt.f64 x) (*.f64 x #s(literal -1/2 binary64))) |
(sqrt x) |
(sqrt.f64 x) |
x |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(/ 1 (+ (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))) (sqrt x))) |
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (+.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))))))))) |
1 |
#s(literal 1 binary64) |
(+ (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))) (sqrt x)) |
(+.f64 (sqrt.f64 x) (+.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)))))))) |
(+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))) |
(+.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))))))) |
(* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) |
x |
(+ 1/2 (* x (+ -1/8 (* x 1/16)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))) |
1/2 |
#s(literal 1/2 binary64) |
(* x (+ -1/8 (* x 1/16))) |
(*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))) |
(+ -1/8 (* x 1/16)) |
(+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))) |
-1/8 |
#s(literal -1/8 binary64) |
(* x 1/16) |
(*.f64 x #s(literal 1/16 binary64)) |
1/16 |
#s(literal 1/16 binary64) |
(sqrt x) |
(sqrt.f64 x) |
(* (/ (+ (* x x) (* (- 1 x) (- (- 1 x) x))) (* (sqrt x) 2)) (/ (+ x (- 1 x)) (+ (* x x) (* (- 1 x) (- (- 1 x) x))))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(/ (+ (* x x) (* (- 1 x) (- (- 1 x) x))) (* (sqrt x) 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(+ (* x x) (* (- 1 x) (- (- 1 x) x))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))))) |
(* x x) |
(*.f64 x x) |
x |
(* (- 1 x) (- (- 1 x) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64)))) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
(- (- 1 x) x) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64))) |
(* (sqrt x) 2) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
2 |
#s(literal 2 binary64) |
(/ (+ x (- 1 x)) (+ (* x x) (* (- 1 x) (- (- 1 x) x)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))))))) |
(+ x (- 1 x)) |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x)))) |
| ✓ | accuracy | 93.6% | (/.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
| ✓ | accuracy | 76.8% | (*.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x))))) |
| ✓ | accuracy | 56.5% | (+.f64 x (-.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | (+.f64 (+.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.f64 x)) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))) |
| ✓ | accuracy | 99.9% | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (+.f64 (+.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.f64 x))) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1/2 binary64) x))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -1/2 binary64) x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1/2 binary64) x)) |
| ✓ | accuracy | 100.0% | (*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal -1/8 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
| 122.0ms | 110× | 1 | valid |
| 71.0ms | 145× | 0 | valid |
| 1.0ms | 1× | 2 | valid |
Compiled 280 to 37 computations (86.8% saved)
ival-mult: 25.0ms (30.7% of total)ival-add: 18.0ms (22.1% of total)backward-pass: 13.0ms (16% of total)ival-div: 12.0ms (14.7% of total)ival-sqrt: 8.0ms (9.8% of total)ival-sub: 5.0ms (6.1% of total)const: 1.0ms (1.2% of total)| Inputs |
|---|
#<alt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))> |
#<alt (+ (sqrt (+ x 1)) (sqrt x))> |
#<alt (sqrt (+ x 1))> |
#<alt (+ x 1)> |
#<alt (+ 1 (* x (* x -1/8)))> |
#<alt (* x (* x -1/8))> |
#<alt (* x -1/8)> |
#<alt (- 1 (+ (sqrt x) (* -1/2 x)))> |
#<alt (+ (sqrt x) (* -1/2 x))> |
#<alt (sqrt x)> |
#<alt (* -1/2 x)> |
#<alt (/ 1 (+ (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))) (sqrt x)))> |
#<alt (+ (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))) (sqrt x))> |
#<alt (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))> |
#<alt (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))> |
#<alt (* (/ (+ (* x x) (* (- 1 x) (- (- 1 x) x))) (* (sqrt x) 2)) (/ (+ x (- 1 x)) (+ (* x x) (* (- 1 x) (- (- 1 x) x)))))> |
#<alt (+ x (- 1 x))> |
#<alt (/ (+ (* x x) (* (- 1 x) (- (- 1 x) x))) (* (sqrt x) 2))> |
#<alt (+ (* x x) (* (- 1 x) (- (- 1 x) x)))> |
#<alt (* x (+ -1/8 (* x 1/16)))> |
#<alt (/ (+ x (- 1 x)) (+ (* x x) (* (- 1 x) (- (- 1 x) x))))> |
| Outputs |
|---|
#<alt (/ 1 (+ 1 (sqrt x)))> |
#<alt (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))> |
#<alt (+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))> |
#<alt (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)> |
#<alt (/ (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* 1/8 (sqrt (/ 1 x)))) x)> |
#<alt (/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow x 7))) (* 1/32 (sqrt (pow x 7)))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x))))) x)> |
#<alt (* -1/2 (sqrt (/ 1 x)))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))> |
#<alt (* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x))> |
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* 1/128 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6)))) (* 1/32 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6))))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))))) x))> |
#<alt (+ 1 (sqrt x))> |
#<alt (+ 1 (+ (sqrt x) (* 1/2 x)))> |
#<alt (+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))> |
#<alt (+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))> |
#<alt (* 2 (sqrt x))> |
#<alt (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))> |
#<alt (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))> |
#<alt (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))> |
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (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)))) (* 2 (* (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)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (+ 1 (* x (+ 1/2 (* -1/8 x))))> |
#<alt (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))> |
#<alt (sqrt x)> |
#<alt (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))> |
#<alt 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 (* -1/8 (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 (pow x 2)) 1/8))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/8))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/8))> |
#<alt (* -1/8 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/8))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/8))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/8))> |
#<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 (* -1/8 x)> |
#<alt (* -1/8 x)> |
#<alt (* -1/8 x)> |
#<alt (* -1/8 x)> |
#<alt (* -1/8 x)> |
#<alt (* -1/8 x)> |
#<alt (* -1/8 x)> |
#<alt (* -1/8 x)> |
#<alt (* -1/8 x)> |
#<alt (* -1/8 x)> |
#<alt (* -1/8 x)> |
#<alt (* -1/8 x)> |
#<alt (- 1 (sqrt x))> |
#<alt (- (+ 1 (* 1/2 x)) (sqrt x))> |
#<alt (- (+ 1 (* 1/2 x)) (sqrt x))> |
#<alt (- (+ 1 (* 1/2 x)) (sqrt x))> |
#<alt (* x (- 1/2 (sqrt (/ 1 x))))> |
#<alt (* x (- (+ 1/2 (/ 1 x)) (sqrt (/ 1 x))))> |
#<alt (* x (- (+ 1/2 (/ 1 x)) (sqrt (/ 1 x))))> |
#<alt (* x (- (+ 1/2 (/ 1 x)) (sqrt (/ 1 x))))> |
#<alt (* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))> |
#<alt (* x (+ 1/2 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))> |
#<alt (* x (+ 1/2 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))> |
#<alt (* x (+ 1/2 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))> |
#<alt (sqrt x)> |
#<alt (+ (sqrt x) (* -1/2 x))> |
#<alt (+ (sqrt x) (* -1/2 x))> |
#<alt (+ (sqrt x) (* -1/2 x))> |
#<alt (* x (- (sqrt (/ 1 x)) 1/2))> |
#<alt (* x (- (sqrt (/ 1 x)) 1/2))> |
#<alt (* x (- (sqrt (/ 1 x)) 1/2))> |
#<alt (* x (- (sqrt (/ 1 x)) 1/2))> |
#<alt (* -1 (* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (/ 1 (+ 1 (sqrt x)))> |
#<alt (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))> |
#<alt (+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))> |
#<alt (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))> |
#<alt (/ 16 (pow x 3))> |
#<alt (/ (+ 16 (* 32 (/ 1 x))) (pow x 3))> |
#<alt (/ (- (+ 16 (+ (* 32 (/ 1 x)) (/ 64 (pow x 2)))) (* 256 (/ (+ 1/2 (sqrt (/ 1 x))) (pow x 2)))) (pow x 3))> |
#<alt (/ (- (+ 16 (+ (* -1 (/ (+ 256 (+ (* -2 (- 64 (* 256 (+ 1/2 (sqrt (/ 1 x)))))) (* 512 (+ 1/2 (sqrt (/ 1 x)))))) (pow x 3))) (+ (* 32 (/ 1 x)) (/ 64 (pow x 2))))) (* 256 (/ (+ 1/2 (sqrt (/ 1 x))) (pow x 2)))) (pow x 3))> |
#<alt (/ 16 (pow x 3))> |
#<alt (/ (+ 16 (* 32 (/ 1 x))) (pow x 3))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 32 (+ (* 256 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1/2) x)) (* 64 (/ 1 x)))) x)) 16) (pow x 3)))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 32 (* -1 (/ (- (+ (* -512 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1/2) x)) (+ (* -2 (/ (+ 64 (* 256 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1/2))) x)) (* 256 (/ 1 x)))) (+ 64 (* 256 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1/2)))) x))) x)) 16) (pow x 3)))> |
#<alt (+ 1 (sqrt x))> |
#<alt (+ 1 (+ (sqrt x) (* 1/2 x)))> |
#<alt (+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))> |
#<alt (+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))> |
#<alt (* 1/16 (pow x 3))> |
#<alt (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 1/16 (+ (sqrt (/ 1 (pow x 5))) (/ 1/2 (pow x 2)))) (* 1/8 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 1/16 (+ (sqrt (/ 1 (pow x 5))) (+ (/ 1/2 (pow x 2)) (/ 1 (pow x 3))))) (* 1/8 (/ 1 x))))> |
#<alt (* 1/16 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1/2) x)) 1/8) x)) 1/16)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (+ 1/2 (/ 1 x))) x)) 1/8) x)) 1/16)))> |
#<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 (* 1/16 (pow x 3))> |
#<alt (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 1/16 (+ (/ 1/2 (pow x 2)) (/ 1 (pow x 3)))) (* 1/8 (/ 1 x))))> |
#<alt (* 1/16 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/8) x)) 1/16)))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1/8 x)))> |
#<alt (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))> |
#<alt (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))> |
#<alt (* 1/16 (pow x 3))> |
#<alt (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))> |
#<alt (* 1/16 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* -3/2 (sqrt (pow x 3))) (* 1/2 (sqrt x))) x)> |
#<alt (/ (+ (* 1/2 (sqrt x)) (* x (+ (* -3/2 (sqrt x)) (* 3/2 (sqrt (pow x 3)))))) x)> |
#<alt (/ (+ (* 1/2 (sqrt x)) (* x (+ (* -3/2 (sqrt x)) (* 3/2 (sqrt (pow x 3)))))) x)> |
#<alt (* 3/2 (sqrt (pow x 3)))> |
#<alt (* (pow x 2) (+ (* -3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 x)))))> |
#<alt (* (pow x 2) (+ (* -3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 3/2 (sqrt (/ 1 x))))))> |
#<alt (* (pow x 2) (+ (* -3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 3/2 (sqrt (/ 1 x))))))> |
#<alt (* 3/2 (sqrt (pow x 3)))> |
#<alt (* (pow x 2) (+ (* -3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 x)))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 x)))) x)) (* 3/2 (sqrt (/ 1 x)))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 x)))) x)) (* 3/2 (sqrt (/ 1 x)))))> |
#<alt 1> |
#<alt (+ 1 (* -3 x))> |
#<alt (+ 1 (* x (- (* 3 x) 3)))> |
#<alt (+ 1 (* x (- (* 3 x) 3)))> |
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (- 3 (* 3 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 3 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 3 (/ 1 x))))> |
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (- 3 (* 3 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 3 (* -1 (/ (- 3 (/ 1 x)) x))))> |
#<alt (* (pow x 2) (+ 3 (* -1 (/ (- 3 (/ 1 x)) x))))> |
#<alt (* -1/8 x)> |
#<alt (* x (- (* 1/16 x) 1/8))> |
#<alt (* x (- (* 1/16 x) 1/8))> |
#<alt (* x (- (* 1/16 x) 1/8))> |
#<alt (* 1/16 (pow x 2))> |
#<alt (* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))> |
#<alt (* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))> |
#<alt (* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))> |
#<alt (* 1/16 (pow x 2))> |
#<alt (* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))> |
#<alt (* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))> |
#<alt (* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))> |
#<alt 1> |
#<alt (+ 1 (* 3 x))> |
#<alt (+ 1 (* x (+ 3 (* 6 x))))> |
#<alt (+ 1 (* x (+ 3 (* x (+ 6 (* 9 x))))))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ (+ 1/3 (* 1/3 (/ 1 x))) (pow x 2))> |
#<alt (/ (+ 1/3 (+ (/ 2/9 (pow x 2)) (* 1/3 (/ 1 x)))) (pow x 2))> |
#<alt (/ (+ 1/3 (+ (/ 2/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/9 (/ 1 (pow x 3)))))) (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ (+ 1/3 (* 1/3 (/ 1 x))) (pow x 2))> |
#<alt (/ (+ 1/3 (+ (/ 2/9 (pow x 2)) (* 1/3 (/ 1 x)))) (pow x 2))> |
#<alt (/ (+ 1/3 (* -1 (/ (- (* -1 (/ (+ 2/9 (* 1/9 (/ 1 x))) x)) 1/3) x))) (pow x 2))> |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (+ (* x x) (* (- 1 x) (- (- 1 x) x))) |
| 1.0ms | x | @ | -inf | (/ 1 (+ (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))) (sqrt x))) |
| 1.0ms | x | @ | inf | (/ 1 (+ (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))) (sqrt x))) |
| 1.0ms | x | @ | -inf | (/ (+ (* x x) (* (- 1 x) (- (- 1 x) x))) (* (sqrt x) 2)) |
| 0.0ms | x | @ | 0 | (/ (+ (* x x) (* (- 1 x) (- (- 1 x) x))) (* (sqrt x) 2)) |
| 1× | batch-egg-rewrite |
| 2600× | fma-lowering-fma.f32 |
| 2600× | fma-lowering-fma.f64 |
| 2444× | *-lowering-*.f32 |
| 2444× | *-lowering-*.f64 |
| 1732× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 204 |
| 1 | 265 | 162 |
| 2 | 2822 | 162 |
| 0 | 8265 | 162 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (+ (sqrt (+ x 1)) (sqrt x))) |
(+ (sqrt (+ x 1)) (sqrt x)) |
(sqrt (+ x 1)) |
(+ x 1) |
(+ 1 (* x (* x -1/8))) |
(* x (* x -1/8)) |
(* x -1/8) |
(- 1 (+ (sqrt x) (* -1/2 x))) |
(+ (sqrt x) (* -1/2 x)) |
(sqrt x) |
(* -1/2 x) |
(/ 1 (+ (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))) (sqrt x))) |
(+ (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))) (sqrt x)) |
(+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))) |
(* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))) |
(* (/ (+ (* x x) (* (- 1 x) (- (- 1 x) x))) (* (sqrt x) 2)) (/ (+ x (- 1 x)) (+ (* x x) (* (- 1 x) (- (- 1 x) x))))) |
(+ x (- 1 x)) |
(/ (+ (* x x) (* (- 1 x) (- (- 1 x) x))) (* (sqrt x) 2)) |
(+ (* x x) (* (- 1 x) (- (- 1 x) x))) |
(* x (+ -1/8 (* x 1/16))) |
(/ (+ x (- 1 x)) (+ (* x x) (* (- 1 x) (- (- 1 x) x)))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)))) |
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(pow.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))) (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))))))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))) (*.f64 x x)))))) |
(*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))))) |
(+.f64 (*.f64 x #s(literal -1/8 binary64)) (*.f64 x (*.f64 x #s(literal 1/16 binary64)))) |
(+.f64 (*.f64 x (*.f64 x #s(literal 1/16 binary64))) (*.f64 x #s(literal -1/8 binary64))) |
(fma.f64 x #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal 1/16 binary64)))) |
(fma.f64 x (*.f64 x #s(literal 1/16 binary64)) (*.f64 x #s(literal -1/8 binary64))) |
(fma.f64 #s(literal -1/8 binary64) x (*.f64 x (*.f64 x #s(literal 1/16 binary64)))) |
(fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (*.f64 x #s(literal -1/8 binary64))) |
(fma.f64 (*.f64 x #s(literal 1/16 binary64)) x (*.f64 x #s(literal -1/8 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/16 binary64) (*.f64 x #s(literal -1/8 binary64))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4096 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal -1/8 binary64)) (*.f64 x #s(literal -1/8 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/16 binary64))) (*.f64 x (*.f64 x #s(literal 1/16 binary64)))) (*.f64 (*.f64 x #s(literal -1/8 binary64)) (*.f64 x (*.f64 x #s(literal 1/16 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/8 binary64)) (*.f64 x #s(literal -1/8 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/16 binary64))) (*.f64 x (*.f64 x #s(literal 1/16 binary64))))) (-.f64 (*.f64 x #s(literal -1/8 binary64)) (*.f64 x (*.f64 x #s(literal 1/16 binary64))))) |
(/.f64 (*.f64 x (+.f64 #s(literal -1/512 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4096 binary64)))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x #s(literal 1/16 binary64)) (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) #s(literal 1/256 binary64)))) (-.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal -1/512 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4096 binary64))) x) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x #s(literal 1/16 binary64)) (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) #s(literal 1/256 binary64))) x) (-.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))) |
(*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))) |
(*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))) x) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (-.f64 x x)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))))) (/.f64 x (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))))) |
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x x))) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (-.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (-.f64 x x))) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (-.f64 x x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x x))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))) (+.f64 (+.f64 x #s(literal -1 binary64)) x))) |
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) x) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) #s(literal 1 binary64)) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))))) (+.f64 (+.f64 x #s(literal -1 binary64)) x)) |
(pow.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (-.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (-.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))))) (+.f64 #s(literal 1 binary64) (-.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))) (*.f64 x x))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))))))) (-.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal -1 binary64)) x))) |
| 1× | egg-herbie |
| 4318× | +-lowering-+.f64 |
| 4318× | +-lowering-+.f32 |
| 4260× | *-lowering-*.f32 |
| 4260× | *-lowering-*.f64 |
| 1594× | sum3-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 404 | 2456 |
| 1 | 1277 | 2191 |
| 2 | 4329 | 2161 |
| 0 | 8846 | 2161 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (+ 1 (sqrt x))) |
(+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x)))) |
(+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x)))) |
(+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x)))) |
(* 1/2 (sqrt (/ 1 x))) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) |
(/ (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* 1/8 (sqrt (/ 1 x)))) x) |
(/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow x 7))) (* 1/32 (sqrt (pow x 7)))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x))))) x) |
(* -1/2 (sqrt (/ 1 x))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/128 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6)))) (* 1/32 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6))))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))))) x)) |
(+ 1 (sqrt x)) |
(+ 1 (+ (sqrt x) (* 1/2 x))) |
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x))))) |
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) |
(* 2 (sqrt x)) |
(* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (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)))) (* 2 (* (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)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
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 (* -1/8 (pow x 2))) |
(+ 1 (* -1/8 (pow x 2))) |
(+ 1 (* -1/8 (pow x 2))) |
(* -1/8 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/8)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/8)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/8)) |
(* -1/8 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/8)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/8)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/8)) |
(* -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)) |
(* -1/8 x) |
(* -1/8 x) |
(* -1/8 x) |
(* -1/8 x) |
(* -1/8 x) |
(* -1/8 x) |
(* -1/8 x) |
(* -1/8 x) |
(* -1/8 x) |
(* -1/8 x) |
(* -1/8 x) |
(* -1/8 x) |
(- 1 (sqrt x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(* x (- 1/2 (sqrt (/ 1 x)))) |
(* x (- (+ 1/2 (/ 1 x)) (sqrt (/ 1 x)))) |
(* x (- (+ 1/2 (/ 1 x)) (sqrt (/ 1 x)))) |
(* x (- (+ 1/2 (/ 1 x)) (sqrt (/ 1 x)))) |
(* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* x (+ 1/2 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))) |
(* x (+ 1/2 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))) |
(* x (+ 1/2 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))) |
(sqrt x) |
(+ (sqrt x) (* -1/2 x)) |
(+ (sqrt x) (* -1/2 x)) |
(+ (sqrt x) (* -1/2 x)) |
(* x (- (sqrt (/ 1 x)) 1/2)) |
(* x (- (sqrt (/ 1 x)) 1/2)) |
(* x (- (sqrt (/ 1 x)) 1/2)) |
(* x (- (sqrt (/ 1 x)) 1/2)) |
(* -1 (* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(/ 1 (+ 1 (sqrt x))) |
(+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x)))) |
(+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x)))) |
(+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x)))) |
(/ 16 (pow x 3)) |
(/ (+ 16 (* 32 (/ 1 x))) (pow x 3)) |
(/ (- (+ 16 (+ (* 32 (/ 1 x)) (/ 64 (pow x 2)))) (* 256 (/ (+ 1/2 (sqrt (/ 1 x))) (pow x 2)))) (pow x 3)) |
(/ (- (+ 16 (+ (* -1 (/ (+ 256 (+ (* -2 (- 64 (* 256 (+ 1/2 (sqrt (/ 1 x)))))) (* 512 (+ 1/2 (sqrt (/ 1 x)))))) (pow x 3))) (+ (* 32 (/ 1 x)) (/ 64 (pow x 2))))) (* 256 (/ (+ 1/2 (sqrt (/ 1 x))) (pow x 2)))) (pow x 3)) |
(/ 16 (pow x 3)) |
(/ (+ 16 (* 32 (/ 1 x))) (pow x 3)) |
(* -1 (/ (- (* -1 (/ (+ 32 (+ (* 256 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1/2) x)) (* 64 (/ 1 x)))) x)) 16) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (+ 32 (* -1 (/ (- (+ (* -512 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1/2) x)) (+ (* -2 (/ (+ 64 (* 256 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1/2))) x)) (* 256 (/ 1 x)))) (+ 64 (* 256 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1/2)))) x))) x)) 16) (pow x 3))) |
(+ 1 (sqrt x)) |
(+ 1 (+ (sqrt x) (* 1/2 x))) |
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x))))) |
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) |
(* 1/16 (pow x 3)) |
(* (pow x 3) (- 1/16 (* 1/8 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/16 (+ (sqrt (/ 1 (pow x 5))) (/ 1/2 (pow x 2)))) (* 1/8 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/16 (+ (sqrt (/ 1 (pow x 5))) (+ (/ 1/2 (pow x 2)) (/ 1 (pow x 3))))) (* 1/8 (/ 1 x)))) |
(* 1/16 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1/2) x)) 1/8) x)) 1/16))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (+ 1/2 (/ 1 x))) x)) 1/8) x)) 1/16))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(* 1/16 (pow x 3)) |
(* (pow x 3) (- 1/16 (* 1/8 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/16 (+ (/ 1/2 (pow x 2)) (/ 1 (pow x 3)))) (* 1/8 (/ 1 x)))) |
(* 1/16 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/8) x)) 1/16))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/8 x))) |
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) |
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) |
(* 1/16 (pow x 3)) |
(* (pow x 3) (- 1/16 (* 1/8 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x)))) |
(* 1/16 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16))) |
(* 1/2 (sqrt (/ 1 x))) |
(* 1/2 (sqrt (/ 1 x))) |
(* 1/2 (sqrt (/ 1 x))) |
(* 1/2 (sqrt (/ 1 x))) |
(* 1/2 (sqrt (/ 1 x))) |
(* 1/2 (sqrt (/ 1 x))) |
(* 1/2 (sqrt (/ 1 x))) |
(* 1/2 (sqrt (/ 1 x))) |
(* 1/2 (sqrt (/ 1 x))) |
(* 1/2 (sqrt (/ 1 x))) |
(* 1/2 (sqrt (/ 1 x))) |
(* 1/2 (sqrt (/ 1 x))) |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
(* 1/2 (sqrt (/ 1 x))) |
(/ (+ (* -3/2 (sqrt (pow x 3))) (* 1/2 (sqrt x))) x) |
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -3/2 (sqrt x)) (* 3/2 (sqrt (pow x 3)))))) x) |
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -3/2 (sqrt x)) (* 3/2 (sqrt (pow x 3)))))) x) |
(* 3/2 (sqrt (pow x 3))) |
(* (pow x 2) (+ (* -3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 x))))) |
(* (pow x 2) (+ (* -3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 3/2 (sqrt (/ 1 x)))))) |
(* (pow x 2) (+ (* -3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 3/2 (sqrt (/ 1 x)))))) |
(* 3/2 (sqrt (pow x 3))) |
(* (pow x 2) (+ (* -3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 x))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 x)))) x)) (* 3/2 (sqrt (/ 1 x))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 x)))) x)) (* 3/2 (sqrt (/ 1 x))))) |
1 |
(+ 1 (* -3 x)) |
(+ 1 (* x (- (* 3 x) 3))) |
(+ 1 (* x (- (* 3 x) 3))) |
(* 3 (pow x 2)) |
(* (pow x 2) (- 3 (* 3 (/ 1 x)))) |
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 3 (/ 1 x)))) |
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 3 (/ 1 x)))) |
(* 3 (pow x 2)) |
(* (pow x 2) (- 3 (* 3 (/ 1 x)))) |
(* (pow x 2) (+ 3 (* -1 (/ (- 3 (/ 1 x)) x)))) |
(* (pow x 2) (+ 3 (* -1 (/ (- 3 (/ 1 x)) x)))) |
(* -1/8 x) |
(* x (- (* 1/16 x) 1/8)) |
(* x (- (* 1/16 x) 1/8)) |
(* x (- (* 1/16 x) 1/8)) |
(* 1/16 (pow x 2)) |
(* (pow x 2) (- 1/16 (* 1/8 (/ 1 x)))) |
(* (pow x 2) (- 1/16 (* 1/8 (/ 1 x)))) |
(* (pow x 2) (- 1/16 (* 1/8 (/ 1 x)))) |
(* 1/16 (pow x 2)) |
(* (pow x 2) (- 1/16 (* 1/8 (/ 1 x)))) |
(* (pow x 2) (- 1/16 (* 1/8 (/ 1 x)))) |
(* (pow x 2) (- 1/16 (* 1/8 (/ 1 x)))) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 (* 6 x)))) |
(+ 1 (* x (+ 3 (* x (+ 6 (* 9 x)))))) |
(/ 1/3 (pow x 2)) |
(/ (+ 1/3 (* 1/3 (/ 1 x))) (pow x 2)) |
(/ (+ 1/3 (+ (/ 2/9 (pow x 2)) (* 1/3 (/ 1 x)))) (pow x 2)) |
(/ (+ 1/3 (+ (/ 2/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/9 (/ 1 (pow x 3)))))) (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ (+ 1/3 (* 1/3 (/ 1 x))) (pow x 2)) |
(/ (+ 1/3 (+ (/ 2/9 (pow x 2)) (* 1/3 (/ 1 x)))) (pow x 2)) |
(/ (+ 1/3 (* -1 (/ (- (* -1 (/ (+ 2/9 (* 1/9 (/ 1 x))) x)) 1/3) x))) (pow x 2)) |
| Outputs |
|---|
(/ 1 (+ 1 (sqrt x))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) |
(+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))))) |
(+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x (+.f64 (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))) (*.f64 x (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))))) |
(* 1/2 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) |
(/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x) |
(/ (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* 1/8 (sqrt (/ 1 x)))) x) |
(/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))) x) |
(/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow x 7))) (* 1/32 (sqrt (pow x 7)))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x))))) x) |
(/.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal -5/128 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))))) x) |
(* -1/2 (sqrt (/ 1 x))) |
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x)) |
(/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/128 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6)))) (* 1/32 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6))))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))))) x)) |
(/.f64 (-.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (*.f64 (/.f64 (sqrt.f64 (pow.f64 x #s(literal 7 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64))))) (-.f64 #s(literal 0 binary64) x)) |
(+ 1 (sqrt x)) |
(+.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(+ 1 (+ (sqrt x) (* 1/2 x))) |
(+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (*.f64 x #s(literal 1/2 binary64)))) |
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64))))) |
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))) |
(* 2 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))) |
(*.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))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))) |
(*.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 2 binary64) (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) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))))) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 x (-.f64 #s(literal 0 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)) #s(literal -2 binary64))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
(*.f64 (+.f64 (+.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) (/.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))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) (-.f64 #s(literal 0 binary64) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64))))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))) |
(sqrt x) |
(sqrt.f64 x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(*.f64 x (+.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))) (+.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 (* (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)))))) |
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(* (pow x 3) (- 1/16 (* 1/8 (/ 1 x)))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))) |
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x)))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))) |
(* (pow x 3) (- (+ 1/16 (+ (/ 1/2 (pow x 2)) (/ 1 (pow x 3)))) (* 1/8 (/ 1 x)))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))) |
(* 1/16 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/16 binary64) (*.f64 x x))) |
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16))) |
(*.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/8) x)) 1/16))) |
(*.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x))) x)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* -1/8 x))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) |
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) |
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) |
(* 1/16 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/16 binary64) (*.f64 x x))) |
(* (pow x 3) (- 1/16 (* 1/8 (/ 1 x)))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))) |
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x)))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))) |
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x)))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))) |
(* 1/16 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/16 binary64) (*.f64 x x))) |
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16))) |
(*.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16))) |
(*.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/2 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/2 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/2 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/2 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/2 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/2 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/2 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/2 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/2 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/2 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/2 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/2 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
(* 1/2 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* -3/2 (sqrt (pow x 3))) (* 1/2 (sqrt x))) x) |
(/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))) x) |
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -3/2 (sqrt x)) (* 3/2 (sqrt (pow x 3)))))) x) |
(/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal 3/2 binary64))))) x) |
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -3/2 (sqrt x)) (* 3/2 (sqrt (pow x 3)))))) x) |
(/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal 3/2 binary64))))) x) |
(* 3/2 (sqrt (pow x 3))) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal 3/2 binary64)) |
(* (pow x 2) (+ (* -3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 x))))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -3/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))) |
(* (pow x 2) (+ (* -3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 3/2 (sqrt (/ 1 x)))))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -3/2 binary64)) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) |
(* (pow x 2) (+ (* -3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 3/2 (sqrt (/ 1 x)))))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -3/2 binary64)) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) |
(* 3/2 (sqrt (pow x 3))) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal 3/2 binary64)) |
(* (pow x 2) (+ (* -3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 x))))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -3/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 x)))) x)) (* 3/2 (sqrt (/ 1 x))))) |
(*.f64 (*.f64 x x) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) (/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) x))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 x)))) x)) (* 3/2 (sqrt (/ 1 x))))) |
(*.f64 (*.f64 x x) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) (/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -3 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) |
(+ 1 (* x (- (* 3 x) 3))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -3 binary64) (*.f64 x #s(literal 3 binary64))))) |
(+ 1 (* x (- (* 3 x) 3))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -3 binary64) (*.f64 x #s(literal 3 binary64))))) |
(* 3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (- 3 (* 3 (/ 1 x)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) x))) |
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 3 (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) x)))) |
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 3 (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) x)))) |
(* 3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (- 3 (* 3 (/ 1 x)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) x))) |
(* (pow x 2) (+ 3 (* -1 (/ (- 3 (/ 1 x)) x)))) |
(*.f64 x (*.f64 x (-.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)) x)))) |
(* (pow x 2) (+ 3 (* -1 (/ (- 3 (/ 1 x)) x)))) |
(*.f64 x (*.f64 x (-.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)) x)))) |
(* -1/8 x) |
(*.f64 x #s(literal -1/8 binary64)) |
(* x (- (* 1/16 x) 1/8)) |
(*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))) |
(* x (- (* 1/16 x) 1/8)) |
(*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))) |
(* x (- (* 1/16 x) 1/8)) |
(*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))) |
(* 1/16 (pow x 2)) |
(*.f64 #s(literal 1/16 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/16 (* 1/8 (/ 1 x)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))) |
(* (pow x 2) (- 1/16 (* 1/8 (/ 1 x)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))) |
(* (pow x 2) (- 1/16 (* 1/8 (/ 1 x)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))) |
(* 1/16 (pow x 2)) |
(*.f64 #s(literal 1/16 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/16 (* 1/8 (/ 1 x)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))) |
(* (pow x 2) (- 1/16 (* 1/8 (/ 1 x)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))) |
(* (pow x 2) (- 1/16 (* 1/8 (/ 1 x)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 3 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) |
(+ 1 (* x (+ 3 (* 6 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 6 binary64))))) |
(+ 1 (* x (+ 3 (* x (+ 6 (* 9 x)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))))) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ (+ 1/3 (* 1/3 (/ 1 x))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x)) |
(/ (+ 1/3 (+ (/ 2/9 (pow x 2)) (* 1/3 (/ 1 x)))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2/9 binary64) (*.f64 x x)))) (*.f64 x x)) |
(/ (+ 1/3 (+ (/ 2/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/9 (/ 1 (pow x 3)))))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2/9 binary64) (*.f64 x x)))) (/.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ (+ 1/3 (* 1/3 (/ 1 x))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x)) |
(/ (+ 1/3 (+ (/ 2/9 (pow x 2)) (* 1/3 (/ 1 x)))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2/9 binary64) (*.f64 x x)))) (*.f64 x x)) |
(/ (+ 1/3 (* -1 (/ (- (* -1 (/ (+ 2/9 (* 1/9 (/ 1 x))) x)) 1/3) x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/9 binary64) x)) x)) x)) (*.f64 x x)) |
Compiled 25028 to 2147 computations (91.4% saved)
37 alts after pruning (29 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 830 | 14 | 844 |
| Fresh | 7 | 15 | 22 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 4 | 5 |
| Total | 839 | 37 | 876 |
| Status | Accuracy | Program |
|---|---|---|
| 5.6% | (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x)) (-.f64 (-.f64 #s(literal 1 binary64) x) x)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) | |
| 7.5% | (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) | |
| 50.2% | (/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 1 binary64))) | |
| 48.2% | (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x) | |
| 5.5% | (/.f64 (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) | |
| 50.6% | (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) | |
| 4.3% | (/.f64 #s(literal 16 binary64) (*.f64 x (*.f64 x x))) | |
| 5.6% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (+.f64 (+.f64 x #s(literal -1 binary64)) x)) (-.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) | |
| 99.7% | (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 x (sqrt.f64 x)))) | |
| ✓ | 53.6% | (/.f64 #s(literal 1 binary64) (+.f64 (+.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.f64 x))) |
| 52.9% | (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64))))) (sqrt.f64 x))) | |
| 54.5% | (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 x))) | |
| 4.4% | (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))) (sqrt.f64 x))) | |
| 5.8% | (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 #s(literal 1/16 binary64) (*.f64 x x))) (sqrt.f64 x))) | |
| 76.7% | (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) | |
| ✓ | 99.7% | (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
| ✓ | 59.7% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
| 50.5% | (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) | |
| 12.6% | (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) | |
| 48.1% | (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)))) | |
| 53.2% | (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (sqrt.f64 x)) | |
| ✓ | 55.2% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| ✓ | 53.2% | (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1/2 binary64) x))) |
| ✓ | 51.4% | (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
| 52.9% | (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))) | |
| 48.2% | (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) | |
| ✓ | 51.7% | (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (sqrt.f64 x))) |
| ✓ | 50.5% | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) |
| 6.1% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))))))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x))))) | |
| 6.5% | (*.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -3 binary64) (*.f64 x #s(literal 3 binary64))))))) | |
| 24.7% | (*.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))) | |
| 6.5% | (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -3 binary64) (*.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x))))) | |
| 6.1% | (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (-.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))))) (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x))))) | |
| 22.6% | (*.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (*.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))) | |
| 50.6% | (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) | |
| 12.5% | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| 53.4% | #s(literal 1 binary64) |
Compiled 1696 to 625 computations (63.1% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) |
(/.f64 #s(literal 16 binary64) (*.f64 x (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) |
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x #s(literal 1/2 binary64))) |
(-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1/2 binary64) x))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 x)) |
(-.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 x)) |
(-.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (sqrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 x))) |
(/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 #s(literal 1/16 binary64) (*.f64 x x))) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64))))) (sqrt.f64 x))) |
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (+.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.f64 x))) |
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))) (sqrt.f64 x))) |
(/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (+.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.f64 x))) |
(/.f64 (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x)) (-.f64 (-.f64 #s(literal 1 binary64) x) x)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (+.f64 (+.f64 x #s(literal -1 binary64)) x)) (-.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))) |
(/.f64 (+.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -3 binary64) (*.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x))))) |
(*.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -3 binary64) (*.f64 x #s(literal 3 binary64))))))) |
(*.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (*.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(/.f64 (+.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (-.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))))) (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))))))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x))))) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x) |
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 x (sqrt.f64 x)))) |
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 x))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)))) |
(/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 x))) |
(/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))))) (sqrt.f64 x))) |
(*.f64 (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (-.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) |
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
2 calls:
| 41.0ms | x |
| 15.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) |
(/.f64 #s(literal 16 binary64) (*.f64 x (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) |
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x #s(literal 1/2 binary64))) |
(-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1/2 binary64) x))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 x)) |
(-.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 x)) |
(-.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (sqrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 x))) |
(/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 #s(literal 1/16 binary64) (*.f64 x x))) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64))))) (sqrt.f64 x))) |
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (+.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.f64 x))) |
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))) (sqrt.f64 x))) |
(/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (+.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.f64 x))) |
(/.f64 (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x)) (-.f64 (-.f64 #s(literal 1 binary64) x) x)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (+.f64 (+.f64 x #s(literal -1 binary64)) x)) (-.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))) |
(/.f64 (+.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -3 binary64) (*.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x))))) |
(*.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -3 binary64) (*.f64 x #s(literal 3 binary64))))))) |
(*.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (*.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(/.f64 (+.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (-.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))))) (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))))))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x))))) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
2 calls:
| 31.0ms | x |
| 10.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 2 | x |
| 99.4% | 2 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) |
(/.f64 #s(literal 16 binary64) (*.f64 x (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) |
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x #s(literal 1/2 binary64))) |
(-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1/2 binary64) x))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 x)) |
(-.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 x)) |
(-.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (sqrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 x))) |
(/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 #s(literal 1/16 binary64) (*.f64 x x))) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64))))) (sqrt.f64 x))) |
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (+.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.f64 x))) |
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))) (sqrt.f64 x))) |
(/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (+.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.f64 x))) |
(/.f64 (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x)) (-.f64 (-.f64 #s(literal 1 binary64) x) x)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (+.f64 (+.f64 x #s(literal -1 binary64)) x)) (-.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))) |
(/.f64 (+.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -3 binary64) (*.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x))))) |
(*.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -3 binary64) (*.f64 x #s(literal 3 binary64))))))) |
(*.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (*.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(/.f64 (+.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (-.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))))) (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))))))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x))))) |
| Outputs |
|---|
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
1 calls:
| 15.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) |
(/.f64 #s(literal 16 binary64) (*.f64 x (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) |
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x #s(literal 1/2 binary64))) |
(-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1/2 binary64) x))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 x)) |
(-.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 x)) |
(-.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (sqrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 x))) |
(/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 #s(literal 1/16 binary64) (*.f64 x x))) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64))))) (sqrt.f64 x))) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (sqrt.f64 x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) |
(/.f64 #s(literal 16 binary64) (*.f64 x (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) |
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x #s(literal 1/2 binary64))) |
(-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1/2 binary64) x))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 x)) |
(-.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 x)) |
(-.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (sqrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 x))) |
(/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1/2 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
1 calls:
| 23.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) |
(/.f64 #s(literal 16 binary64) (*.f64 x (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) |
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x #s(literal 1/2 binary64))) |
| Outputs |
|---|
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) |
(/.f64 #s(literal 16 binary64) (*.f64 x (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) |
(/.f64 #s(literal 16 binary64) (*.f64 x (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.7% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) |
(/.f64 #s(literal 16 binary64) (*.f64 x (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.7% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) |
(/.f64 #s(literal 16 binary64) (*.f64 x (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.1% | 2 | x |
Compiled 2 to 1 computations (50% saved)
Total -33.1b remaining (-110.9%)
Threshold costs -33.1b (-110.9%)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) |
(/.f64 #s(literal 16 binary64) (*.f64 x (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(literal 1 binary64) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.4% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.187118171714246e-6 | 0.01306838441188063 |
Compiled 12 to 9 computations (25% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 0.4234570723769268 | 3.058492646732344 |
| 5.0ms | 96× | 0 | valid |
Compiled 168 to 135 computations (19.6% saved)
ival-sub: 1.0ms (38% of total)ival-add: 1.0ms (38% of total)ival-sqrt: 1.0ms (38% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 95.0ms | 0.4234570723769268 | 3.058492646732344 |
| 92.0ms | 96× | 0 | valid |
Compiled 144 to 117 computations (18.8% saved)
ival-sqrt: 88.0ms (98.4% of total)ival-sub: 1.0ms (1.1% of total)ival-add: 1.0ms (1.1% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 0.4234570723769268 | 3.058492646732344 |
| 5.0ms | 96× | 0 | valid |
Compiled 120 to 99 computations (17.5% saved)
ival-add: 1.0ms (38.6% of total)ival-sqrt: 1.0ms (38.6% of total)ival-sub: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 0.4234570723769268 | 3.058492646732344 |
| 5.0ms | 96× | 0 | valid |
Compiled 120 to 99 computations (17.5% saved)
ival-add: 1.0ms (39.2% of total)ival-sqrt: 1.0ms (39.2% of total)ival-sub: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 86.0ms | 0.0007701755220102468 | 0.4234570723769268 |
| 82.0ms | 128× | 0 | valid |
Compiled 124 to 105 computations (15.3% saved)
ival-sqrt: 2.0ms (57.2% of total)ival-sub: 1.0ms (28.6% of total)ival-add: 1.0ms (28.6% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 0.4234570723769268 | 3.058492646732344 |
| 5.0ms | 96× | 0 | valid |
Compiled 84 to 69 computations (17.9% saved)
ival-add: 1.0ms (38.5% of total)ival-sqrt: 1.0ms (38.5% of total)ival-sub: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 90.0ms | 0.4234570723769268 | 3.058492646732344 |
| 5.0ms | 96× | 0 | valid |
Compiled 84 to 69 computations (17.9% saved)
ival-add: 1.0ms (39.6% of total)ival-sqrt: 1.0ms (39.6% of total)ival-sub: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 0.4234570723769268 | 3.058492646732344 |
| 5.0ms | 96× | 0 | valid |
Compiled 174 to 117 computations (32.8% saved)
ival-add: 1.0ms (38.2% of total)ival-sqrt: 1.0ms (38.2% of total)ival-sub: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 46× | unsub-neg_binary64 |
| 44× | *-commutative_binary64 |
| 42× | +-commutative_binary64 |
| 28× | neg-mul-1_binary64 |
| 24× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 182 |
| 1 | 97 | 182 |
| 2 | 113 | 182 |
| 3 | 133 | 182 |
| 4 | 154 | 182 |
| 5 | 195 | 182 |
| 6 | 210 | 182 |
| 7 | 213 | 182 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 5902958103587057/590295810358705651712 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
(if (<=.f64 x #s(literal 5854679515581645/4503599627370496 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 x #s(literal 5494391545392005/4503599627370496 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (sqrt.f64 x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 x #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 x #s(literal 3242591731706757/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 x #s(literal 5854679515581645/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(if (<=.f64 x #s(literal 5854679515581645/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(if (<=.f64 x #s(literal 3039929748475085/1125899906842624 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 5902958103587057/590295810358705651712 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal 5902958103587057/590295810358705651712 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(if (<=.f64 x #s(literal 5854679515581645/4503599627370496 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 x #s(literal 5494391545392005/4503599627370496 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (sqrt.f64 x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 x #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 x #s(literal 3242591731706757/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 x #s(literal 5854679515581645/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(if (<=.f64 x #s(literal 5854679515581645/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(if (<=.f64 x #s(literal 3039929748475085/1125899906842624 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(if (<=.f64 x #s(literal 3039929748475085/1125899906842624 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/64 binary64)) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(literal 1 binary64) |
| 4768× | *-lowering-*.f32 |
| 4768× | *-lowering-*.f64 |
| 4318× | +-lowering-+.f64 |
| 4318× | +-lowering-+.f32 |
| 4260× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 204 |
| 1 | 265 | 162 |
| 2 | 2822 | 162 |
| 0 | 8265 | 162 |
| 0 | 113 | 434 |
| 1 | 325 | 384 |
| 2 | 1039 | 376 |
| 3 | 3226 | 373 |
| 4 | 7122 | 373 |
| 0 | 8132 | 373 |
| 0 | 6 | 16 |
| 1 | 39 | 16 |
| 2 | 303 | 16 |
| 3 | 3722 | 16 |
| 0 | 8045 | 16 |
| 0 | 404 | 2456 |
| 1 | 1277 | 2191 |
| 2 | 4329 | 2161 |
| 0 | 8846 | 2161 |
| 0 | 256 | 1624 |
| 1 | 826 | 1401 |
| 2 | 2987 | 1391 |
| 0 | 8661 | 1391 |
| 0 | 24 | 108 |
| 1 | 185 | 91 |
| 2 | 1790 | 91 |
| 0 | 8660 | 91 |
| 0 | 258 | 1931 |
| 1 | 807 | 1699 |
| 2 | 2802 | 1680 |
| 0 | 8388 | 1680 |
| 0 | 25 | 90 |
| 1 | 168 | 86 |
| 2 | 1328 | 85 |
| 0 | 8675 | 85 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 478 to 285 computations (40.4% saved)
Compiled 402 to 156 computations (61.2% saved)
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