
Time bar (total: 8.1s)
| 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 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 3 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 4 |
| 87.5% | 87.5% | 12.5% | 0% | 0% | 0% | 0% | 5 |
| 93.8% | 93.7% | 6.2% | 0% | 0% | 0% | 0% | 6 |
| 96.9% | 96.8% | 3.1% | 0% | 0% | 0% | 0% | 7 |
| 98.4% | 98.4% | 1.6% | 0% | 0% | 0% | 0% | 8 |
| 99.2% | 99.2% | 0.8% | 0% | 0% | 0% | 0% | 9 |
| 99.6% | 99.6% | 0.4% | 0% | 0% | 0% | 0% | 10 |
| 99.8% | 99.8% | 0.2% | 0% | 0% | 0% | 0% | 11 |
| 99.9% | 99.9% | 0.1% | 0% | 0% | 0% | 0% | 12 |
Compiled 19 to 16 computations (15.8% saved)
| 1.4s | 8 256× | 0 | valid |
const: 715.0ms (57.3% of total)ival-mult: 239.0ms (19.1% of total)ival-add: 157.0ms (12.6% of total)ival-sub: 63.0ms (5% of total)ival-div: 60.0ms (4.8% of total)ival-true: 7.0ms (0.6% of total)exact: 5.0ms (0.4% of total)ival-assert: 3.0ms (0.2% of total)| 1× | egg-herbie |
| 1 400× | lower-fma.f64 |
| 1 400× | lower-fma.f32 |
| 584× | lower-*.f32 |
| 578× | lower-*.f64 |
| 344× | cancel-sign-sub-inv |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 43 |
| 1 | 37 | 37 |
| 2 | 103 | 35 |
| 3 | 285 | 34 |
| 4 | 715 | 34 |
| 5 | 1276 | 34 |
| 6 | 1752 | 34 |
| 7 | 2396 | 34 |
| 8 | 2457 | 34 |
| 9 | 2488 | 34 |
| 10 | 2488 | 34 |
| 0 | 14 | 17 |
| 0 | 22 | 17 |
| 1 | 32 | 17 |
| 2 | 48 | 17 |
| 3 | 92 | 17 |
| 4 | 192 | 17 |
| 5 | 369 | 17 |
| 6 | 619 | 17 |
| 7 | 992 | 17 |
| 8 | 1578 | 17 |
| 9 | 2082 | 17 |
| 10 | 2240 | 17 |
| 11 | 2296 | 17 |
| 12 | 2329 | 17 |
| 13 | 2332 | 17 |
| 14 | 2332 | 17 |
| 0 | 2332 | 14 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
| Outputs |
|---|
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
(+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal -1 binary64)))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 65 | 0 | - | 0 | - | (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))) |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 4481/100000 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 99229/100000 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 27061/100000 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 27061/100000 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 4481/100000 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 230753/100000 binary64) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x) |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 99.0ms | 512× | 0 | valid |
Compiled 180 to 60 computations (66.7% saved)
const: 29.0ms (50.8% of total)ival-mult: 15.0ms (26.3% of total)ival-add: 7.0ms (12.3% of total)ival-div: 3.0ms (5.3% of total)ival-sub: 2.0ms (3.5% of total)ival-true: 1.0ms (1.8% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
Compiled 18 to 14 computations (22.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) |
| 1 400× | lower-fma.f64 |
| 1 400× | lower-fma.f32 |
| 584× | lower-*.f32 |
| 578× | lower-*.f64 |
| 344× | cancel-sign-sub-inv |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 70 |
| 0 | 22 | 70 |
| 1 | 32 | 70 |
| 2 | 48 | 70 |
| 3 | 92 | 70 |
| 4 | 192 | 70 |
| 5 | 369 | 70 |
| 6 | 619 | 70 |
| 7 | 992 | 70 |
| 8 | 1578 | 70 |
| 9 | 2082 | 70 |
| 10 | 2240 | 70 |
| 11 | 2296 | 70 |
| 12 | 2329 | 70 |
| 13 | 2332 | 70 |
| 14 | 2332 | 70 |
| 0 | 2332 | 59 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
x |
(/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))) |
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) |
#s(literal 230753/100000 binary64) |
(*.f64 x #s(literal 27061/100000 binary64)) |
#s(literal 27061/100000 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)) |
#s(literal 1 binary64) |
(*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x) |
(+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) |
#s(literal 99229/100000 binary64) |
(*.f64 x #s(literal 4481/100000 binary64)) |
#s(literal 4481/100000 binary64) |
| Outputs |
|---|
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
(+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal -1 binary64)))) |
x |
(/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))) |
(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) |
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
#s(literal 230753/100000 binary64) |
(*.f64 x #s(literal 27061/100000 binary64)) |
#s(literal 27061/100000 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
#s(literal 99229/100000 binary64) |
(*.f64 x #s(literal 4481/100000 binary64)) |
#s(literal 4481/100000 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x) |
| ✓ | accuracy | 99.4% | (*.f64 x #s(literal 27061/100000 binary64)) |
| ✓ | accuracy | 99.3% | (*.f64 x #s(literal 4481/100000 binary64)) |
| ✓ | accuracy | 76.1% | (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))) |
| 40.0ms | 256× | 0 | valid |
Compiled 72 to 16 computations (77.8% saved)
const: 20.0ms (64% of total)ival-mult: 5.0ms (16% of total)ival-add: 3.0ms (9.6% of total)ival-div: 2.0ms (6.4% of total)ival-sub: 1.0ms (3.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))> |
#<alt (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))> |
#<alt (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))> |
#<alt (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))> |
#<alt (*.f64 x #s(literal 4481/100000 binary64))> |
#<alt (*.f64 x #s(literal 27061/100000 binary64))> |
#<alt (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)> |
| Outputs |
|---|
#<alt 230753/100000> |
#<alt (+ 230753/100000 (* 27061/100000 x))> |
#<alt (+ 230753/100000 (* 27061/100000 x))> |
#<alt (+ 230753/100000 (* 27061/100000 x))> |
#<alt (* 27061/100000 x)> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* 27061/100000 x)> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt 1> |
#<alt (+ 1 (* 99229/100000 x))> |
#<alt (+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))> |
#<alt (+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))> |
#<alt (* 4481/100000 (pow x 2))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* 4481/100000 (pow x 2))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt 99229/100000> |
#<alt (+ 99229/100000 (* 4481/100000 x))> |
#<alt (+ 99229/100000 (* 4481/100000 x))> |
#<alt (+ 99229/100000 (* 4481/100000 x))> |
#<alt (* 4481/100000 x)> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* 4481/100000 x)> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt -230753/100000> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)> |
#<alt x> |
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))> |
#<alt 230753/100000> |
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))> |
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))> |
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))> |
#<alt (/ 27061/4481 x)> |
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)> |
#<alt (/ 27061/4481 x)> |
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 99229/100000 x)> |
#<alt (* x (+ 99229/100000 (* 4481/100000 x)))> |
#<alt (* x (+ 99229/100000 (* 4481/100000 x)))> |
#<alt (* x (+ 99229/100000 (* 4481/100000 x)))> |
#<alt (* 4481/100000 (pow x 2))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* 4481/100000 (pow x 2))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) |
| 0.0ms | x | @ | -inf | (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)) |
| 0.0ms | x | @ | inf | (+ 230753/100000 (* x 27061/100000)) |
| 0.0ms | x | @ | inf | (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) |
| 0.0ms | x | @ | inf | (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)) |
| 1× | egg-herbie |
| 9 368× | lower-fma.f64 |
| 9 368× | lower-fma.f32 |
| 2 950× | lower-*.f64 |
| 2 950× | lower-*.f32 |
| 1 702× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 128 | 590 |
| 1 | 360 | 582 |
| 2 | 869 | 556 |
| 3 | 2171 | 520 |
| 4 | 6808 | 520 |
| 0 | 8193 | 466 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
230753/100000 |
(+ 230753/100000 (* 27061/100000 x)) |
(+ 230753/100000 (* 27061/100000 x)) |
(+ 230753/100000 (* 27061/100000 x)) |
(* 27061/100000 x) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* 27061/100000 x) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
1 |
(+ 1 (* 99229/100000 x)) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(* 4481/100000 (pow x 2)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(* 4481/100000 (pow x 2)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
99229/100000 |
(+ 99229/100000 (* 4481/100000 x)) |
(+ 99229/100000 (* 4481/100000 x)) |
(+ 99229/100000 (* 4481/100000 x)) |
(* 4481/100000 x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* 4481/100000 x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
230753/100000 |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(/ 27061/4481 x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) |
(/ 27061/4481 x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 99229/100000 x) |
(* x (+ 99229/100000 (* 4481/100000 x))) |
(* x (+ 99229/100000 (* 4481/100000 x))) |
(* x (+ 99229/100000 (* 4481/100000 x))) |
(* 4481/100000 (pow x 2)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* 4481/100000 (pow x 2)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
| Outputs |
|---|
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* 27061/100000 x)) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* 27061/100000 x)) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* 27061/100000 x)) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 99229/100000 x)) |
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(* 4481/100000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(* 4481/100000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
99229/100000 |
#s(literal 99229/100000 binary64) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x)) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
(+.f64 x (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x) #s(literal -27061/4481 binary64)) x)) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x)) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
(+.f64 x (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x) #s(literal -27061/4481 binary64)) x)) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) |
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 (+.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal -151724043800704/89975616641 binary64)) x)) x)) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 (+.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal -151724043800704/89975616641 binary64)) x)) x)) x) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 99229/100000 x) |
(*.f64 x #s(literal 99229/100000 binary64)) |
(* x (+ 99229/100000 (* 4481/100000 x))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* x (+ 99229/100000 (* 4481/100000 x))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* x (+ 99229/100000 (* 4481/100000 x))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* 4481/100000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* 4481/100000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
| 1× | batch-egg-rewrite |
| 6 906× | lower-fma.f64 |
| 6 906× | lower-fma.f32 |
| 5 346× | lower-*.f32 |
| 5 340× | lower-*.f64 |
| 4 052× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 64 |
| 0 | 22 | 64 |
| 1 | 92 | 64 |
| 2 | 738 | 64 |
| 0 | 8420 | 53 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)) |
(+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) |
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
(/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x) |
| Outputs |
|---|
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) |
(+.f64 #s(literal 230753/100000 binary64) (neg.f64 (*.f64 x #s(literal -27061/100000 binary64)))) |
(+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 27061/100000 binary64)))) |
(+.f64 #s(literal 230753/100000 binary64) (*.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) |
(+.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))))) |
(+.f64 (neg.f64 (*.f64 x #s(literal -27061/100000 binary64))) #s(literal 230753/100000 binary64)) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 27061/100000 binary64))) #s(literal 230753/100000 binary64)) |
(+.f64 (*.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 1 binary64)) #s(literal 230753/100000 binary64)) |
(-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64))) |
(-.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))) (/.f64 #s(literal 53246947009/10000000000 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(fma.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 1 binary64) #s(literal 230753/100000 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) |
(fma.f64 #s(literal 53246947009/10000000000 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))))) |
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(/.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64))) #s(literal 1 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64))) |
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -20079361/10000000000 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)) x) #s(literal 1 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64))) |
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -20079361/10000000000 binary64))) x) #s(literal 1 binary64)) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(*.f64 x (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) |
(*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) x) |
(*.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64))) x)) |
(*.f64 (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -20079361/10000000000 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) x)) |
(*.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64)))) |
(*.f64 (*.f64 x (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -20079361/10000000000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64)))) |
(*.f64 (*.f64 (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -20079361/10000000000 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))) |
Compiled 18 151 to 2 023 computations (88.9% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 556 | 9 | 565 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 557 | 9 | 566 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
| 73.9% | (-.f64 x (/.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))))) | |
| ▶ | 52.0% | (-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x))) |
| ▶ | 52.9% | (-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x))) |
| 98.1% | (-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))) | |
| 51.1% | #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))) | |
| 49.7% | #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))) | |
| ▶ | 57.1% | #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))) |
| ▶ | 49.0% | #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64)) |
Compiled 184 to 126 computations (31.5% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) |
| ✓ | cost-diff | 0 | (-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 27061/4481 binary64) x) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)) |
| ✓ | cost-diff | 0 | (-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x))) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
| 1 920× | lower-fma.f32 |
| 1 912× | lower-fma.f64 |
| 896× | lower-*.f64 |
| 896× | lower-*.f32 |
| 448× | cancel-sign-sub-inv |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 207 |
| 0 | 48 | 189 |
| 1 | 73 | 189 |
| 2 | 104 | 189 |
| 3 | 144 | 189 |
| 4 | 249 | 189 |
| 5 | 447 | 189 |
| 6 | 824 | 189 |
| 7 | 1163 | 189 |
| 8 | 1855 | 189 |
| 9 | 2467 | 189 |
| 10 | 2768 | 189 |
| 11 | 3061 | 189 |
| 12 | 3412 | 189 |
| 13 | 3477 | 189 |
| 14 | 3515 | 189 |
| 15 | 3537 | 189 |
| 16 | 3539 | 189 |
| 0 | 3539 | 189 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
x |
(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
#s(literal 27061/100000 binary64) |
#s(literal 230753/100000 binary64) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
#s(literal 4481/100000 binary64) |
#s(literal 99229/100000 binary64) |
#s(literal 1 binary64) |
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64)) |
#s(literal -230753/100000 binary64) |
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
x |
#s(literal 30191289437/10000000000 binary64) |
#s(literal -230753/100000 binary64) |
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x))) |
x |
#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)) |
(/.f64 #s(literal 27061/4481 binary64) x) |
#s(literal 27061/4481 binary64) |
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x))) |
x |
#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) |
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) |
#s(literal 27061/4481 binary64) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
#s(literal -1651231776/20079361 binary64) |
| Outputs |
|---|
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
(+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal -1 binary64)))) |
x |
(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
#s(literal 27061/100000 binary64) |
#s(literal 230753/100000 binary64) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
#s(literal 4481/100000 binary64) |
#s(literal 99229/100000 binary64) |
#s(literal 1 binary64) |
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64)) |
#s(literal -230753/100000 binary64) |
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
x |
#s(literal 30191289437/10000000000 binary64) |
#s(literal -230753/100000 binary64) |
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x))) |
x |
#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)) |
(/.f64 #s(literal 27061/4481 binary64) x) |
#s(literal 27061/4481 binary64) |
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x))) |
x |
#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) |
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) |
#s(literal 27061/4481 binary64) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
#s(literal -1651231776/20079361 binary64) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) |
| ✓ | accuracy | 99.6% | (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal -1651231776/20079361 binary64) x) |
| ✓ | accuracy | 51.6% | #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) |
| ✓ | accuracy | 100.0% | (-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x))) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 27061/4481 binary64) x) |
| ✓ | accuracy | 52.0% | #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)) |
| ✓ | accuracy | 99.8% | (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
| ✓ | accuracy | 57.1% | #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))) |
| ✓ | accuracy | 49.0% | #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.7% | (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
| ✓ | accuracy | 99.6% | (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
| ✓ | accuracy | 76.1% | (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) |
| 82.0ms | 256× | 0 | valid |
Compiled 189 to 32 computations (83.1% saved)
const: 26.0ms (38.4% of total)ival-div: 17.0ms (25.1% of total)ival-add: 14.0ms (20.7% of total)ival-mult: 8.0ms (11.8% of total)ival-sub: 2.0ms (3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))> |
#<alt (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))> |
#<alt (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))> |
#<alt (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))> |
#<alt #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))> |
#<alt #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)))> |
#<alt (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))> |
#<alt (-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)))> |
#<alt #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x))> |
#<alt (/.f64 #s(literal 27061/4481 binary64) x)> |
#<alt (-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)))> |
#<alt #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x))> |
#<alt (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)> |
#<alt (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))> |
#<alt (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))> |
#<alt (/.f64 #s(literal -1651231776/20079361 binary64) x)> |
| Outputs |
|---|
#<alt -230753/100000> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)> |
#<alt x> |
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))> |
#<alt 230753/100000> |
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))> |
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))> |
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))> |
#<alt (/ 27061/4481 x)> |
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)> |
#<alt (/ 27061/4481 x)> |
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))> |
#<alt 230753/100000> |
#<alt (+ 230753/100000 (* 27061/100000 x))> |
#<alt (+ 230753/100000 (* 27061/100000 x))> |
#<alt (+ 230753/100000 (* 27061/100000 x))> |
#<alt (* 27061/100000 x)> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* 27061/100000 x)> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt 1> |
#<alt (+ 1 (* 99229/100000 x))> |
#<alt (+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))> |
#<alt (+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))> |
#<alt (* 4481/100000 (pow x 2))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* 4481/100000 (pow x 2))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt -230753/100000> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)> |
#<alt x> |
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))> |
#<alt -230753/100000> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)> |
#<alt x> |
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))> |
#<alt -230753/100000> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (* 30191289437/10000000000 x)> |
#<alt (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))> |
#<alt (* 30191289437/10000000000 x)> |
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))> |
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))> |
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))> |
#<alt -230753/100000> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)> |
#<alt x> |
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))> |
#<alt 230753/100000> |
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))> |
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))> |
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))> |
#<alt (/ 27061/4481 x)> |
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)> |
#<alt (/ 27061/4481 x)> |
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))> |
#<alt (/ 27061/4481 x)> |
#<alt (/ 27061/4481 x)> |
#<alt (/ 27061/4481 x)> |
#<alt (/ 27061/4481 x)> |
#<alt (/ 27061/4481 x)> |
#<alt (/ 27061/4481 x)> |
#<alt (/ 27061/4481 x)> |
#<alt (/ 27061/4481 x)> |
#<alt (/ 27061/4481 x)> |
#<alt (/ 27061/4481 x)> |
#<alt (/ 27061/4481 x)> |
#<alt (/ 27061/4481 x)> |
#<alt -230753/100000> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)> |
#<alt x> |
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))> |
#<alt 230753/100000> |
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))> |
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))> |
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))> |
#<alt (/ 27061/4481 x)> |
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)> |
#<alt (/ 27061/4481 x)> |
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))> |
#<alt (/ -1651231776/20079361 (pow x 2))> |
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))> |
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))> |
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))> |
#<alt (/ 27061/4481 x)> |
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ 27061/4481 x)> |
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))> |
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))> |
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))> |
#<alt (/ -1651231776/20079361 x)> |
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) x)> |
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) x)> |
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) x)> |
#<alt 27061/4481> |
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))> |
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))> |
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))> |
#<alt 27061/4481> |
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))> |
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))> |
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))> |
#<alt 99229/100000> |
#<alt (+ 99229/100000 (* 4481/100000 x))> |
#<alt (+ 99229/100000 (* 4481/100000 x))> |
#<alt (+ 99229/100000 (* 4481/100000 x))> |
#<alt (* 4481/100000 x)> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* 4481/100000 x)> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (/ -1651231776/20079361 x)> |
#<alt (/ -1651231776/20079361 x)> |
#<alt (/ -1651231776/20079361 x)> |
#<alt (/ -1651231776/20079361 x)> |
#<alt (/ -1651231776/20079361 x)> |
#<alt (/ -1651231776/20079361 x)> |
#<alt (/ -1651231776/20079361 x)> |
#<alt (/ -1651231776/20079361 x)> |
#<alt (/ -1651231776/20079361 x)> |
#<alt (/ -1651231776/20079361 x)> |
#<alt (/ -1651231776/20079361 x)> |
#<alt (/ -1651231776/20079361 x)> |
48 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x) |
| 0.0ms | x | @ | -inf | (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x) |
| 0.0ms | x | @ | 0 | (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x) |
| 0.0ms | x | @ | 0 | (/ 27061/4481 x) |
| 0.0ms | x | @ | 0 | (/ -1651231776/20079361 x) |
| 1× | egg-herbie |
| 9 258× | lower-fma.f64 |
| 9 258× | lower-fma.f32 |
| 2 852× | lower-*.f64 |
| 2 852× | lower-*.f32 |
| 2 068× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 140 | 1394 |
| 1 | 391 | 1370 |
| 2 | 951 | 1268 |
| 3 | 2363 | 1156 |
| 4 | 7126 | 1156 |
| 0 | 8107 | 1066 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
230753/100000 |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(/ 27061/4481 x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) |
(/ 27061/4481 x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) |
230753/100000 |
(+ 230753/100000 (* 27061/100000 x)) |
(+ 230753/100000 (* 27061/100000 x)) |
(+ 230753/100000 (* 27061/100000 x)) |
(* 27061/100000 x) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* 27061/100000 x) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
1 |
(+ 1 (* 99229/100000 x)) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(* 4481/100000 (pow x 2)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(* 4481/100000 (pow x 2)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(* 30191289437/10000000000 x) |
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(* 30191289437/10000000000 x) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
230753/100000 |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(/ 27061/4481 x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) |
(/ 27061/4481 x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/ 27061/4481 x) |
(/ 27061/4481 x) |
(/ 27061/4481 x) |
(/ 27061/4481 x) |
(/ 27061/4481 x) |
(/ 27061/4481 x) |
(/ 27061/4481 x) |
(/ 27061/4481 x) |
(/ 27061/4481 x) |
(/ 27061/4481 x) |
(/ 27061/4481 x) |
(/ 27061/4481 x) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
230753/100000 |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(/ 27061/4481 x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) |
(/ 27061/4481 x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/ -1651231776/20079361 (pow x 2)) |
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2)) |
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2)) |
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2)) |
(/ 27061/4481 x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/ 27061/4481 x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(/ -1651231776/20079361 x) |
(/ (- (* 27061/4481 x) 1651231776/20079361) x) |
(/ (- (* 27061/4481 x) 1651231776/20079361) x) |
(/ (- (* 27061/4481 x) 1651231776/20079361) x) |
27061/4481 |
(- 27061/4481 (* 1651231776/20079361 (/ 1 x))) |
(- 27061/4481 (* 1651231776/20079361 (/ 1 x))) |
(- 27061/4481 (* 1651231776/20079361 (/ 1 x))) |
27061/4481 |
(- 27061/4481 (* 1651231776/20079361 (/ 1 x))) |
(- 27061/4481 (* 1651231776/20079361 (/ 1 x))) |
(- 27061/4481 (* 1651231776/20079361 (/ 1 x))) |
99229/100000 |
(+ 99229/100000 (* 4481/100000 x)) |
(+ 99229/100000 (* 4481/100000 x)) |
(+ 99229/100000 (* 4481/100000 x)) |
(* 4481/100000 x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* 4481/100000 x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(/ -1651231776/20079361 x) |
(/ -1651231776/20079361 x) |
(/ -1651231776/20079361 x) |
(/ -1651231776/20079361 x) |
(/ -1651231776/20079361 x) |
(/ -1651231776/20079361 x) |
(/ -1651231776/20079361 x) |
(/ -1651231776/20079361 x) |
(/ -1651231776/20079361 x) |
(/ -1651231776/20079361 x) |
(/ -1651231776/20079361 x) |
(/ -1651231776/20079361 x) |
| Outputs |
|---|
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 x #s(literal 27061/4481 binary64) (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64))) x) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 x #s(literal 27061/4481 binary64) (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64))) x) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (/.f64 #s(literal -14315508183474457216/403180738168321 binary64) x)) x) #s(literal -1651231776/20079361 binary64)) x)) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (/.f64 #s(literal -14315508183474457216/403180738168321 binary64) x)) x) #s(literal -1651231776/20079361 binary64)) x)) x) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* 27061/100000 x)) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* 27061/100000 x)) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* 27061/100000 x)) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 99229/100000 x)) |
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(* 4481/100000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(* 4481/100000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 x #s(literal 27061/4481 binary64) (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64))) x) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 x #s(literal 27061/4481 binary64) (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64))) x) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 x #s(literal 27061/4481 binary64) (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64))) x) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 x #s(literal 27061/4481 binary64) (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64))) x) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(* 30191289437/10000000000 x) |
(*.f64 #s(literal 30191289437/10000000000 binary64) x) |
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(* 30191289437/10000000000 x) |
(*.f64 #s(literal 30191289437/10000000000 binary64) x) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 x #s(literal 27061/4481 binary64) (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64))) x) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 x #s(literal 27061/4481 binary64) (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64))) x) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (/.f64 #s(literal -14315508183474457216/403180738168321 binary64) x)) x) #s(literal -1651231776/20079361 binary64)) x)) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (/.f64 #s(literal -14315508183474457216/403180738168321 binary64) x)) x) #s(literal -1651231776/20079361 binary64)) x)) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 x #s(literal 27061/4481 binary64) (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64))) x) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 x #s(literal 27061/4481 binary64) (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64))) x) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (/.f64 #s(literal -14315508183474457216/403180738168321 binary64) x)) x) #s(literal -1651231776/20079361 binary64)) x)) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (/.f64 #s(literal -14315508183474457216/403180738168321 binary64) x)) x) #s(literal -1651231776/20079361 binary64)) x)) x) |
(/ -1651231776/20079361 (pow x 2)) |
(/.f64 #s(literal -1651231776/20079361 binary64) (*.f64 x x)) |
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2)) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2)) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2)) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(/ -1651231776/20079361 x) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
(/ (- (* 27061/4481 x) 1651231776/20079361) x) |
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) |
(/ (- (* 27061/4481 x) 1651231776/20079361) x) |
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) |
(/ (- (* 27061/4481 x) 1651231776/20079361) x) |
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) |
27061/4481 |
#s(literal 27061/4481 binary64) |
(- 27061/4481 (* 1651231776/20079361 (/ 1 x))) |
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) |
(- 27061/4481 (* 1651231776/20079361 (/ 1 x))) |
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) |
(- 27061/4481 (* 1651231776/20079361 (/ 1 x))) |
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) |
27061/4481 |
#s(literal 27061/4481 binary64) |
(- 27061/4481 (* 1651231776/20079361 (/ 1 x))) |
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) |
(- 27061/4481 (* 1651231776/20079361 (/ 1 x))) |
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) |
(- 27061/4481 (* 1651231776/20079361 (/ 1 x))) |
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) |
99229/100000 |
#s(literal 99229/100000 binary64) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(/ -1651231776/20079361 x) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
(/ -1651231776/20079361 x) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
(/ -1651231776/20079361 x) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
(/ -1651231776/20079361 x) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
(/ -1651231776/20079361 x) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
(/ -1651231776/20079361 x) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
(/ -1651231776/20079361 x) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
(/ -1651231776/20079361 x) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
(/ -1651231776/20079361 x) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
(/ -1651231776/20079361 x) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
(/ -1651231776/20079361 x) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
(/ -1651231776/20079361 x) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
| 1× | batch-egg-rewrite |
| 5 188× | lower-/.f32 |
| 5 180× | lower-/.f64 |
| 4 226× | lower-fma.f32 |
| 4 218× | lower-fma.f64 |
| 3 644× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 192 |
| 0 | 48 | 174 |
| 1 | 251 | 174 |
| 2 | 1806 | 174 |
| 0 | 8588 | 174 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64)) |
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x))) |
#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x))) |
#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) |
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
| Outputs |
|---|
(+.f64 x (neg.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))) |
(+.f64 (neg.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) x) |
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (*.f64 x x))) (/.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))) (fma.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (*.f64 x x)))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))) (/.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (neg.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))))) (/.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (-.f64 x (neg.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))))) |
(fma.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) x) |
(fma.f64 (neg.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) |
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) |
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal 53246947009/10000000000 binary64)) (*.f64 x #s(literal 6244406933/10000000000 binary64)))) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) |
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal 27061/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)) #s(literal 53246947009/10000000000 binary64))) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) |
(fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) |
(fma.f64 (/.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -27061/100000 binary64) x))) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) #s(literal 1 binary64))) (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) #s(literal 1 binary64))) (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) #s(literal 1 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))) (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) #s(literal -1 binary64))) (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal -1 binary64)))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (*.f64 x (neg.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))))) (-.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (neg.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))) (-.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))))) (fma.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))))) (fma.f64 x x (-.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (*.f64 x (neg.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))))))) |
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))) (-.f64 x (neg.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))))) (neg.f64 (fma.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))))) (neg.f64 (fma.f64 x x (-.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (*.f64 x (neg.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))))))) |
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(/.f64 #s(literal -1651231776/20079361 binary64) x) |
(/.f64 #s(literal -1651231776/20079361 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 1651231776/20079361 binary64) (neg.f64 x)) |
(/.f64 #s(literal 1651231776/20079361 binary64) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal -20079361/1651231776 binary64)))) |
(pow.f64 (*.f64 x #s(literal -20079361/1651231776 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) |
(*.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1651231776/20079361 binary64)) |
Compiled 15 654 to 1 635 computations (89.6% saved)
10 alts after pruning (6 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 597 | 6 | 603 |
| Fresh | 4 | 0 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 602 | 10 | 612 |
| Status | Accuracy | Program |
|---|---|---|
| 73.9% | (-.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))))) | |
| ✓ | 100.0% | (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
| ▶ | 53.1% | (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))) |
| ▶ | 52.0% | (-.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))) |
| ▶ | 98.1% | (-.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) |
| ✓ | 52.9% | (-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x))) |
| ▶ | 51.1% | #s(approx (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))) |
| ▶ | 49.7% | #s(approx (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))) (fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))) |
| ✓ | 57.1% | #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))) |
| ✓ | 49.0% | #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64)) |
Compiled 181 to 121 computations (33.1% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) |
| ✓ | cost-diff | 0 | (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (-.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))) (fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) |
| 5 648× | lower-fma.f32 |
| 5 632× | lower-fma.f64 |
| 2 404× | lower-*.f32 |
| 2 400× | lower-*.f64 |
| 1 162× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 264 |
| 0 | 61 | 264 |
| 1 | 112 | 264 |
| 2 | 197 | 264 |
| 3 | 288 | 264 |
| 4 | 433 | 264 |
| 5 | 723 | 264 |
| 6 | 1241 | 264 |
| 7 | 1841 | 264 |
| 8 | 3713 | 264 |
| 9 | 4715 | 264 |
| 10 | 5763 | 261 |
| 11 | 6236 | 261 |
| 12 | 6309 | 261 |
| 13 | 6354 | 261 |
| 14 | 6829 | 261 |
| 15 | 7013 | 261 |
| 16 | 7500 | 261 |
| 17 | 7680 | 261 |
| 18 | 7783 | 261 |
| 19 | 7874 | 261 |
| 0 | 8021 | 252 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) |
x |
#s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)) |
#s(literal 230753/100000 binary64) |
#s(approx (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))) (fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))) |
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
x |
(fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) |
#s(literal -1900161040244073/1000000000000000 binary64) |
#s(literal 30191289437/10000000000 binary64) |
#s(literal -230753/100000 binary64) |
#s(approx (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
x |
(fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) |
(fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) |
#s(literal 179503363065659419717/100000000000000000000 binary64) |
#s(literal -1900161040244073/1000000000000000 binary64) |
#s(literal 30191289437/10000000000 binary64) |
#s(literal -230753/100000 binary64) |
(-.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))) |
x |
#s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) |
#s(literal 27061/4481 binary64) |
#s(literal -1651231776/20079361 binary64) |
(*.f64 x x) |
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))) |
x |
(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
#s(literal 27061/100000 binary64) |
#s(literal 230753/100000 binary64) |
#s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
#s(literal 4481/100000 binary64) |
#s(literal 99229/100000 binary64) |
| Outputs |
|---|
(-.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) |
x |
#s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)) |
#s(literal 230753/100000 binary64) |
#s(approx (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))) (fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))) |
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
x |
(fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) |
#s(literal -1900161040244073/1000000000000000 binary64) |
#s(literal 30191289437/10000000000 binary64) |
#s(literal -230753/100000 binary64) |
#s(approx (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
x |
(fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) |
(fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) |
#s(literal 179503363065659419717/100000000000000000000 binary64) |
#s(literal -1900161040244073/1000000000000000 binary64) |
#s(literal 30191289437/10000000000 binary64) |
#s(literal -230753/100000 binary64) |
(-.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))) |
x |
#s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) |
#s(literal 27061/4481 binary64) |
#s(literal -1651231776/20079361 binary64) |
(*.f64 x x) |
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))) |
(+.f64 x (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))) |
x |
(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
#s(literal 27061/100000 binary64) |
#s(literal 230753/100000 binary64) |
#s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
#s(literal 4481/100000 binary64) |
#s(literal 99229/100000 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
| ✓ | accuracy | 99.6% | (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
| ✓ | accuracy | 76.1% | (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) |
| ✓ | accuracy | 53.1% | #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) |
| ✓ | accuracy | 100.0% | (-.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))) |
| ✓ | accuracy | 99.7% | (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) |
| ✓ | accuracy | 75.9% | (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
| ✓ | accuracy | 51.6% | #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) |
| ✓ | accuracy | 99.9% | (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) |
| ✓ | accuracy | 51.1% | #s(approx (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) |
| ✓ | accuracy | 49.7% | #s(approx (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))) (fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))) |
| ✓ | accuracy | 100.0% | (-.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) |
| ✓ | accuracy | 49.4% | #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)) |
| 100.0ms | 256× | 0 | valid |
Compiled 235 to 36 computations (84.7% saved)
const: 47.0ms (59.5% of total)ival-mult: 17.0ms (21.5% of total)ival-add: 11.0ms (13.9% of total)ival-div: 3.0ms (3.8% of total)ival-sub: 1.0ms (1.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (-.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)))> |
#<alt #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))> |
#<alt #s(approx (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))) (fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)))> |
#<alt (fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))> |
#<alt (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64))> |
#<alt #s(approx (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)))> |
#<alt (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))> |
#<alt (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64))> |
#<alt (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64))> |
#<alt (-.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))))> |
#<alt #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))> |
#<alt (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))> |
#<alt (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))> |
#<alt (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))))> |
#<alt (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))> |
#<alt (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))> |
#<alt #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))> |
#<alt (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))> |
| Outputs |
|---|
#<alt -230753/100000> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)> |
#<alt x> |
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))> |
#<alt 230753/100000> |
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))> |
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))> |
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))> |
#<alt (/ 27061/4481 x)> |
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)> |
#<alt (/ 27061/4481 x)> |
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))> |
#<alt -230753/100000> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)> |
#<alt x> |
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))> |
#<alt -230753/100000> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)> |
#<alt (* -1900161040244073/1000000000000000 (pow x 2))> |
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))> |
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2)))))> |
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2)))))> |
#<alt (* -1900161040244073/1000000000000000 (pow x 2))> |
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))> |
#<alt (* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000))> |
#<alt (* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000))> |
#<alt 30191289437/10000000000> |
#<alt (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))> |
#<alt (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))> |
#<alt (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))> |
#<alt (* -1900161040244073/1000000000000000 x)> |
#<alt (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))> |
#<alt (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))> |
#<alt (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))> |
#<alt (* -1900161040244073/1000000000000000 x)> |
#<alt (* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))))> |
#<alt -230753/100000> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)> |
#<alt x> |
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))> |
#<alt -230753/100000> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)> |
#<alt (* 179503363065659419717/100000000000000000000 (pow x 3))> |
#<alt (* (pow x 3) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (+ (* 1900161040244073/1000000000000000 (/ 1 x)) (* 230753/100000 (/ 1 (pow x 3))))))> |
#<alt (* 179503363065659419717/100000000000000000000 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000)))> |
#<alt 30191289437/10000000000> |
#<alt (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))> |
#<alt (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))> |
#<alt (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))> |
#<alt (* 179503363065659419717/100000000000000000000 (pow x 2))> |
#<alt (* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x))))> |
#<alt (* 179503363065659419717/100000000000000000000 (pow x 2))> |
#<alt (* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x))))> |
#<alt (* (pow x 2) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x))))> |
#<alt -1900161040244073/1000000000000000> |
#<alt (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)> |
#<alt (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)> |
#<alt (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)> |
#<alt (* 179503363065659419717/100000000000000000000 x)> |
#<alt (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))> |
#<alt (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))> |
#<alt (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))> |
#<alt (* 179503363065659419717/100000000000000000000 x)> |
#<alt (* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))> |
#<alt (* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))> |
#<alt (* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))> |
#<alt -230753/100000> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)> |
#<alt x> |
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))> |
#<alt 230753/100000> |
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))> |
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))> |
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))> |
#<alt (/ 27061/4481 x)> |
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)> |
#<alt (/ 27061/4481 x)> |
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))> |
#<alt (/ -1651231776/20079361 (pow x 2))> |
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))> |
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))> |
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))> |
#<alt (/ 27061/4481 x)> |
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ 27061/4481 x)> |
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))> |
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))> |
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))> |
#<alt -1651231776/20079361> |
#<alt (- (* 27061/4481 x) 1651231776/20079361)> |
#<alt (- (* 27061/4481 x) 1651231776/20079361)> |
#<alt (- (* 27061/4481 x) 1651231776/20079361)> |
#<alt (* 27061/4481 x)> |
#<alt (* x (- 27061/4481 (* 1651231776/20079361 (/ 1 x))))> |
#<alt (* x (- 27061/4481 (* 1651231776/20079361 (/ 1 x))))> |
#<alt (* x (- 27061/4481 (* 1651231776/20079361 (/ 1 x))))> |
#<alt (* 27061/4481 x)> |
#<alt (* -1 (* x (- (* 1651231776/20079361 (/ 1 x)) 27061/4481)))> |
#<alt (* -1 (* x (- (* 1651231776/20079361 (/ 1 x)) 27061/4481)))> |
#<alt (* -1 (* x (- (* 1651231776/20079361 (/ 1 x)) 27061/4481)))> |
#<alt -230753/100000> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)> |
#<alt x> |
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))> |
#<alt 230753/100000> |
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))> |
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))> |
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))> |
#<alt (/ 27061/4481 x)> |
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)> |
#<alt (/ 27061/4481 x)> |
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))> |
#<alt 230753/100000> |
#<alt (+ 230753/100000 (* 27061/100000 x))> |
#<alt (+ 230753/100000 (* 27061/100000 x))> |
#<alt (+ 230753/100000 (* 27061/100000 x))> |
#<alt (* 27061/100000 x)> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* 27061/100000 x)> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt 1> |
#<alt (+ 1 (* 99229/100000 x))> |
#<alt (+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))> |
#<alt (+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))> |
#<alt (* 4481/100000 (pow x 2))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* 4481/100000 (pow x 2))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt 99229/100000> |
#<alt (+ 99229/100000 (* 4481/100000 x))> |
#<alt (+ 99229/100000 (* 4481/100000 x))> |
#<alt (+ 99229/100000 (* 4481/100000 x))> |
#<alt (* 4481/100000 x)> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* 4481/100000 x)> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (+ (* x (+ (* x (+ (* x 179503363065659419717/100000000000000000000) -1900161040244073/1000000000000000)) 30191289437/10000000000)) -230753/100000) |
| 0.0ms | x | @ | -inf | (+ (* x (+ (* x -1900161040244073/1000000000000000) 30191289437/10000000000)) -230753/100000) |
| 0.0ms | x | @ | -inf | (+ (* x (+ (* x (+ (* x 179503363065659419717/100000000000000000000) -1900161040244073/1000000000000000)) 30191289437/10000000000)) -230753/100000) |
| 0.0ms | x | @ | inf | (+ (* x (+ (* x -1900161040244073/1000000000000000) 30191289437/10000000000)) -230753/100000) |
| 0.0ms | x | @ | 0 | (/ (+ (* x 27061/4481) -1651231776/20079361) (* x x)) |
| 1× | egg-herbie |
| 14 788× | lower-fma.f64 |
| 14 788× | lower-fma.f32 |
| 3 356× | lower-*.f64 |
| 3 356× | lower-*.f32 |
| 2 898× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 188 | 1686 |
| 1 | 537 | 1654 |
| 2 | 1460 | 1554 |
| 3 | 4166 | 1426 |
| 0 | 8337 | 1278 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
230753/100000 |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(/ 27061/4481 x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) |
(/ 27061/4481 x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(* -1900161040244073/1000000000000000 (pow x 2)) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))))) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))))) |
(* -1900161040244073/1000000000000000 (pow x 2)) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000)) |
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000)) |
30191289437/10000000000 |
(+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)) |
(+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)) |
(+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)) |
(* -1900161040244073/1000000000000000 x) |
(* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(* -1900161040244073/1000000000000000 x) |
(* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))) |
(* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))) |
(* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
(* 179503363065659419717/100000000000000000000 (pow x 3)) |
(* (pow x 3) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (+ (* 1900161040244073/1000000000000000 (/ 1 x)) (* 230753/100000 (/ 1 (pow x 3)))))) |
(* 179503363065659419717/100000000000000000000 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000))) |
30191289437/10000000000 |
(+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)) |
(+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000))) |
(+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000))) |
(* 179503363065659419717/100000000000000000000 (pow x 2)) |
(* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(* (pow x 2) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(* (pow x 2) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(* 179503363065659419717/100000000000000000000 (pow x 2)) |
(* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(* (pow x 2) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x)))) |
(* (pow x 2) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x)))) |
-1900161040244073/1000000000000000 |
(- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) |
(- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) |
(- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) |
(* 179503363065659419717/100000000000000000000 x) |
(* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(* 179503363065659419717/100000000000000000000 x) |
(* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))) |
(* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))) |
(* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
230753/100000 |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(/ 27061/4481 x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) |
(/ 27061/4481 x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/ -1651231776/20079361 (pow x 2)) |
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2)) |
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2)) |
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2)) |
(/ 27061/4481 x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/ 27061/4481 x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
-1651231776/20079361 |
(- (* 27061/4481 x) 1651231776/20079361) |
(- (* 27061/4481 x) 1651231776/20079361) |
(- (* 27061/4481 x) 1651231776/20079361) |
(* 27061/4481 x) |
(* x (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))) |
(* x (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))) |
(* x (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))) |
(* 27061/4481 x) |
(* -1 (* x (- (* 1651231776/20079361 (/ 1 x)) 27061/4481))) |
(* -1 (* x (- (* 1651231776/20079361 (/ 1 x)) 27061/4481))) |
(* -1 (* x (- (* 1651231776/20079361 (/ 1 x)) 27061/4481))) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
230753/100000 |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(/ 27061/4481 x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) |
(/ 27061/4481 x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) |
230753/100000 |
(+ 230753/100000 (* 27061/100000 x)) |
(+ 230753/100000 (* 27061/100000 x)) |
(+ 230753/100000 (* 27061/100000 x)) |
(* 27061/100000 x) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* 27061/100000 x) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
1 |
(+ 1 (* 99229/100000 x)) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(* 4481/100000 (pow x 2)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(* 4481/100000 (pow x 2)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
99229/100000 |
(+ 99229/100000 (* 4481/100000 x)) |
(+ 99229/100000 (* 4481/100000 x)) |
(+ 99229/100000 (* 4481/100000 x)) |
(* 4481/100000 x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* 4481/100000 x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
| Outputs |
|---|
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(+.f64 x (neg.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x)) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(+.f64 x (neg.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x)) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
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(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(+.f64 x (neg.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x)) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(+.f64 x (neg.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x)) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 (+.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal -151724043800704/89975616641 binary64)) x)) x)) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 (+.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal -151724043800704/89975616641 binary64)) x)) x)) x) |
(/ -1651231776/20079361 (pow x 2)) |
(/.f64 #s(literal -1651231776/20079361 binary64) (*.f64 x x)) |
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2)) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2)) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2)) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
-1651231776/20079361 |
#s(literal -1651231776/20079361 binary64) |
(- (* 27061/4481 x) 1651231776/20079361) |
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) |
(- (* 27061/4481 x) 1651231776/20079361) |
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) |
(- (* 27061/4481 x) 1651231776/20079361) |
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) |
(* 27061/4481 x) |
(*.f64 x #s(literal 27061/4481 binary64)) |
(* x (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) |
(* x (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) |
(* x (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) |
(* 27061/4481 x) |
(*.f64 x #s(literal 27061/4481 binary64)) |
(* -1 (* x (- (* 1651231776/20079361 (/ 1 x)) 27061/4481))) |
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) |
(* -1 (* x (- (* 1651231776/20079361 (/ 1 x)) 27061/4481))) |
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) |
(* -1 (* x (- (* 1651231776/20079361 (/ 1 x)) 27061/4481))) |
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(+.f64 x (neg.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x)) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(+.f64 x (neg.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x)) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 (+.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal -151724043800704/89975616641 binary64)) x)) x)) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 (+.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal -151724043800704/89975616641 binary64)) x)) x)) x) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* 27061/100000 x)) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* 27061/100000 x)) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* 27061/100000 x)) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 99229/100000 x)) |
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(* 4481/100000 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(* 4481/100000 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 4481/100000 binary64)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
99229/100000 |
#s(literal 99229/100000 binary64) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
| 1× | batch-egg-rewrite |
| 4 536× | lower-/.f32 |
| 4 532× | lower-/.f64 |
| 4 446× | lower-*.f32 |
| 4 442× | lower-*.f64 |
| 4 380× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 236 |
| 0 | 61 | 236 |
| 1 | 291 | 236 |
| 2 | 2306 | 236 |
| 0 | 9139 | 227 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) |
#s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)) |
#s(approx (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))) (fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))) |
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) |
#s(approx (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) |
(fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) |
(-.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))) |
#s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) |
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))) |
(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
#s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
| Outputs |
|---|
(+.f64 x (neg.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)))) |
(+.f64 (neg.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) x) |
(-.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) (*.f64 x x))) (/.f64 (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)) (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)))) (fma.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) (*.f64 x x)))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)))) (/.f64 (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (neg.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))))) (/.f64 (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) (-.f64 x (neg.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)))))) |
(fma.f64 #s(literal -1 binary64) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)) x) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) (*.f64 (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) (-.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)))))) |
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(/.f64 (*.f64 (fma.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) (*.f64 x x)) (-.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)))) (fma.f64 x x (-.f64 (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) (*.f64 x (neg.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))))))) |
(/.f64 (*.f64 (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) (-.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)))) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)))) |
(/.f64 (*.f64 (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) (-.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)))) (-.f64 x (neg.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) (*.f64 x x)) (*.f64 (fma.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) (*.f64 x x)) (-.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) (*.f64 (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) (-.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) (*.f64 x x)) (-.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))))) (neg.f64 (fma.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) (*.f64 x x)) (-.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) (*.f64 x (neg.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) (-.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))))) (neg.f64 (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) (-.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))))) (neg.f64 (-.f64 x (neg.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) (*.f64 x x))) (*.f64 (fma.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) (*.f64 x x)) (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)) (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)))))) (*.f64 (fma.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) (*.f64 x x)) (fma.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)))) (*.f64 (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))))) (*.f64 (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) (*.f64 x x)) (-.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) (-.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)))))) (neg.f64 (neg.f64 (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)))))) |
(/.f64 (fma.f64 (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) (neg.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) (*.f64 x (*.f64 x x))) (fma.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)) (-.f64 (*.f64 x x) (*.f64 (neg.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) x)))) |
(pow.f64 (/.f64 (fma.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) (*.f64 x x)) (*.f64 (fma.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) (*.f64 x x)) (-.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) (*.f64 (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) (-.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))))) #s(literal -1 binary64)) |
(*.f64 (*.f64 (fma.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) (*.f64 x x)) (-.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) (*.f64 x x)))) |
(*.f64 (*.f64 (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) (-.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))))) |
#s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64)) |
#s(approx (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))) (fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))) |
(+.f64 #s(literal -230753/100000 binary64) (*.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)))) |
(+.f64 (*.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64))) #s(literal -230753/100000 binary64)) |
(+.f64 (*.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x x)) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))) |
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(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)) (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)))) |
Compiled 14 179 to 1 479 computations (89.6% saved)
11 alts after pruning (2 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 608 | 1 | 609 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 4 | 4 |
| Total | 608 | 11 | 619 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 73.9% | (-.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))))) |
| ✓ | 100.0% | (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
| ✓ | 53.1% | (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))) |
| ✓ | 52.0% | (-.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))) |
| ✓ | 98.1% | (-.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) |
| ✓ | 52.9% | (-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x))) |
| ▶ | 51.2% | #s(approx (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))) (fma.f64 (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) (*.f64 x x) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)))) |
| ✓ | 51.1% | #s(approx (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))) |
| ✓ | 49.7% | #s(approx (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))) (fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))) |
| ✓ | 57.1% | #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))) |
| ✓ | 49.0% | #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64)) |
Compiled 120 to 80 computations (33.3% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)))) |
| ✓ | cost-diff | 0 | (-.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))) (fma.f64 (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) (*.f64 x x) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)))) |
| ✓ | cost-diff | 320 | (fma.f64 (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) (*.f64 x x) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))) |
| 22 908× | lower-fma.f32 |
| 22 894× | lower-fma.f64 |
| 3 356× | lower-+.f64 |
| 3 356× | lower-+.f32 |
| 3 142× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 140 |
| 0 | 48 | 140 |
| 1 | 90 | 140 |
| 2 | 184 | 140 |
| 3 | 501 | 140 |
| 4 | 1724 | 140 |
| 5 | 4952 | 140 |
| 6 | 7928 | 140 |
| 0 | 8036 | 135 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))) (fma.f64 (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) (*.f64 x x) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)))) |
(fma.f64 (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) (*.f64 x x) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))) |
(fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) |
x |
#s(literal 179503363065659419717/100000000000000000000 binary64) |
#s(literal -1900161040244073/1000000000000000 binary64) |
(*.f64 x x) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
#s(literal 30191289437/10000000000 binary64) |
#s(literal -230753/100000 binary64) |
(-.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))))) |
x |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)))) |
(fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) |
(*.f64 x x) |
#s(literal 732297721/10000000000 binary64) |
#s(literal -53246947009/10000000000 binary64) |
(*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
#s(literal 4481/100000 binary64) |
#s(literal 99229/100000 binary64) |
#s(literal 1 binary64) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)) |
#s(literal 27061/100000 binary64) |
#s(literal -230753/100000 binary64) |
| Outputs |
|---|
#s(approx (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))) (fma.f64 (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) (*.f64 x x) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)))) |
#s(approx (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))) |
(fma.f64 (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) (*.f64 x x) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) |
x |
#s(literal 179503363065659419717/100000000000000000000 binary64) |
#s(literal -1900161040244073/1000000000000000 binary64) |
(*.f64 x x) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
#s(literal 30191289437/10000000000 binary64) |
#s(literal -230753/100000 binary64) |
(-.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))))) |
(+.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64))))) |
x |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)))) |
(/.f64 (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)))) |
(fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) |
(fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64)) |
(*.f64 x x) |
#s(literal 732297721/10000000000 binary64) |
#s(literal -53246947009/10000000000 binary64) |
(*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
#s(literal 4481/100000 binary64) |
#s(literal 99229/100000 binary64) |
#s(literal 1 binary64) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)) |
#s(literal 27061/100000 binary64) |
#s(literal -230753/100000 binary64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) |
| ✓ | accuracy | 99.7% | (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
| ✓ | accuracy | 99.7% | (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)) |
| ✓ | accuracy | 63.7% | (/.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)))) |
| ✓ | accuracy | 99.9% | (fma.f64 (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) (*.f64 x x) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) |
| ✓ | accuracy | 99.8% | (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
| ✓ | accuracy | 51.1% | #s(approx (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))) (fma.f64 (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) (*.f64 x x) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)))) |
| 81.0ms | 256× | 0 | valid |
Compiled 152 to 35 computations (77% saved)
const: 35.0ms (52.2% of total)ival-mult: 14.0ms (20.9% of total)ival-add: 12.0ms (17.9% of total)ival-div: 3.0ms (4.5% of total)ival-sub: 2.0ms (3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) (*.f64 x x) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)))> |
#<alt #s(approx (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))) (fma.f64 (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) (*.f64 x x) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))))> |
#<alt (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64))> |
#<alt (*.f64 x x)> |
#<alt (-.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)))))> |
#<alt (/.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))))> |
#<alt (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64))> |
#<alt (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))> |
#<alt (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))> |
#<alt (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))> |
| Outputs |
|---|
#<alt -230753/100000> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)> |
#<alt (* 179503363065659419717/100000000000000000000 (pow x 3))> |
#<alt (* (pow x 3) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (+ (* 1900161040244073/1000000000000000 (/ 1 x)) (* 230753/100000 (/ 1 (pow x 3))))))> |
#<alt (* 179503363065659419717/100000000000000000000 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000)))> |
#<alt -230753/100000> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)> |
#<alt x> |
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))> |
#<alt -1900161040244073/1000000000000000> |
#<alt (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)> |
#<alt (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)> |
#<alt (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)> |
#<alt (* 179503363065659419717/100000000000000000000 x)> |
#<alt (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))> |
#<alt (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))> |
#<alt (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))> |
#<alt (* 179503363065659419717/100000000000000000000 x)> |
#<alt (* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))> |
#<alt (* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))> |
#<alt (* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))> |
#<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 -230753/100000> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)> |
#<alt x> |
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))> |
#<alt 230753/100000> |
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))> |
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))> |
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))> |
#<alt (/ 27061/4481 x)> |
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)> |
#<alt (/ 27061/4481 x)> |
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))> |
#<alt -53246947009/10000000000> |
#<alt (- (* 732297721/10000000000 (pow x 2)) 53246947009/10000000000)> |
#<alt (- (* 732297721/10000000000 (pow x 2)) 53246947009/10000000000)> |
#<alt (- (* 732297721/10000000000 (pow x 2)) 53246947009/10000000000)> |
#<alt (* 732297721/10000000000 (pow x 2))> |
#<alt (* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))> |
#<alt (* 732297721/10000000000 (pow x 2))> |
#<alt (* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))> |
#<alt -230753/100000> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (* 30191289437/10000000000 x)> |
#<alt (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))> |
#<alt (* 30191289437/10000000000 x)> |
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))> |
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))> |
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))> |
#<alt -230753/100000> |
#<alt (- (* 27061/100000 x) 230753/100000)> |
#<alt (- (* 27061/100000 x) 230753/100000)> |
#<alt (- (* 27061/100000 x) 230753/100000)> |
#<alt (* 27061/100000 x)> |
#<alt (* x (- 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (- 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (- 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* 27061/100000 x)> |
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 27061/100000)))> |
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 27061/100000)))> |
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 27061/100000)))> |
#<alt 99229/100000> |
#<alt (+ 99229/100000 (* 4481/100000 x))> |
#<alt (+ 99229/100000 (* 4481/100000 x))> |
#<alt (+ 99229/100000 (* 4481/100000 x))> |
#<alt (* 4481/100000 x)> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* 4481/100000 x)> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (- x (/ (+ (* (* x x) 732297721/10000000000) -53246947009/10000000000) (* (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (+ (* x 27061/100000) -230753/100000)))) |
| 0.0ms | x | @ | -inf | (- x (/ (+ (* (* x x) 732297721/10000000000) -53246947009/10000000000) (* (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (+ (* x 27061/100000) -230753/100000)))) |
| 0.0ms | x | @ | inf | (* x x) |
| 0.0ms | x | @ | inf | (- x (/ (+ (* (* x x) 732297721/10000000000) -53246947009/10000000000) (* (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (+ (* x 27061/100000) -230753/100000)))) |
| 0.0ms | x | @ | 0 | (* x x) |
| 1× | egg-herbie |
| 14 478× | lower-fma.f64 |
| 14 478× | lower-fma.f32 |
| 3 882× | lower-+.f64 |
| 3 882× | lower-+.f32 |
| 3 752× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 168 | 798 |
| 1 | 473 | 782 |
| 2 | 1261 | 770 |
| 3 | 3570 | 766 |
| 0 | 8232 | 683 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
(* 179503363065659419717/100000000000000000000 (pow x 3)) |
(* (pow x 3) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (+ (* 1900161040244073/1000000000000000 (/ 1 x)) (* 230753/100000 (/ 1 (pow x 3)))))) |
(* 179503363065659419717/100000000000000000000 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000))) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
-1900161040244073/1000000000000000 |
(- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) |
(- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) |
(- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) |
(* 179503363065659419717/100000000000000000000 x) |
(* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(* 179503363065659419717/100000000000000000000 x) |
(* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))) |
(* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))) |
(* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))) |
(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) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
230753/100000 |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(/ 27061/4481 x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) |
(/ 27061/4481 x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) |
-53246947009/10000000000 |
(- (* 732297721/10000000000 (pow x 2)) 53246947009/10000000000) |
(- (* 732297721/10000000000 (pow x 2)) 53246947009/10000000000) |
(- (* 732297721/10000000000 (pow x 2)) 53246947009/10000000000) |
(* 732297721/10000000000 (pow x 2)) |
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2))))) |
(* 732297721/10000000000 (pow x 2)) |
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2))))) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(* 30191289437/10000000000 x) |
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(* 30191289437/10000000000 x) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) |
-230753/100000 |
(- (* 27061/100000 x) 230753/100000) |
(- (* 27061/100000 x) 230753/100000) |
(- (* 27061/100000 x) 230753/100000) |
(* 27061/100000 x) |
(* x (- 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (- 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (- 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* 27061/100000 x) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 27061/100000))) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 27061/100000))) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 27061/100000))) |
99229/100000 |
(+ 99229/100000 (* 4481/100000 x)) |
(+ 99229/100000 (* 4481/100000 x)) |
(+ 99229/100000 (* 4481/100000 x)) |
(* 4481/100000 x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* 4481/100000 x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
| Outputs |
|---|
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(* 179503363065659419717/100000000000000000000 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) (*.f64 x x))) |
(* (pow x 3) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64))) |
(* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(*.f64 x (*.f64 x (fma.f64 x (+.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) (/.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x x))) #s(literal -1900161040244073/1000000000000000 binary64)))) |
(* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (+ (* 1900161040244073/1000000000000000 (/ 1 x)) (* 230753/100000 (/ 1 (pow x 3)))))) |
(*.f64 x (*.f64 x (fma.f64 x (-.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 230753/100000 binary64) x) #s(literal -30191289437/10000000000 binary64)) (*.f64 x x))) #s(literal -1900161040244073/1000000000000000 binary64)))) |
(* 179503363065659419717/100000000000000000000 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) (*.f64 x x))) |
(* -1 (* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000))) |
(*.f64 x (*.f64 x (fma.f64 x (+.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) (/.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x x))) #s(literal -1900161040244073/1000000000000000 binary64)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000))) |
(*.f64 x (*.f64 x (fma.f64 x (-.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 230753/100000 binary64) x) #s(literal -30191289437/10000000000 binary64)) (*.f64 x x))) #s(literal -1900161040244073/1000000000000000 binary64)))) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(fma.f64 x (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x)) x) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) #s(literal 1 binary64))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
(*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal 27061/4481 binary64) (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) #s(literal 1 binary64))) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(fma.f64 x (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x)) x) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) #s(literal 1 binary64))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
(*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal 27061/4481 binary64) (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) #s(literal 1 binary64))) |
-1900161040244073/1000000000000000 |
#s(literal -1900161040244073/1000000000000000 binary64) |
(- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) |
(fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) |
(- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) |
(fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) |
(- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) |
(fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) |
(* 179503363065659419717/100000000000000000000 x) |
(*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)) |
(* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) |
(* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) |
(* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) |
(* 179503363065659419717/100000000000000000000 x) |
(*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)) |
(* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))) |
(fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) |
(* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))) |
(fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) |
(* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))) |
(fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 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) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(fma.f64 x (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x)) x) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) #s(literal 1 binary64))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
(*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal 27061/4481 binary64) (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) #s(literal 1 binary64))) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(fma.f64 x (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x)) x) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) #s(literal 1 binary64))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
(*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal 27061/4481 binary64) (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) #s(literal 1 binary64))) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 (+.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal -151724043800704/89975616641 binary64)) x)) x)) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 (+.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal -151724043800704/89975616641 binary64)) x)) x)) x) |
-53246947009/10000000000 |
#s(literal -53246947009/10000000000 binary64) |
(- (* 732297721/10000000000 (pow x 2)) 53246947009/10000000000) |
(fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64)) |
(- (* 732297721/10000000000 (pow x 2)) 53246947009/10000000000) |
(fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64)) |
(- (* 732297721/10000000000 (pow x 2)) 53246947009/10000000000) |
(fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64)) |
(* 732297721/10000000000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) |
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64)) |
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64)) |
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64)) |
(* 732297721/10000000000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) |
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64)) |
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64)) |
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64)) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(* 30191289437/10000000000 x) |
(*.f64 #s(literal 30191289437/10000000000 binary64) x) |
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(* 30191289437/10000000000 x) |
(*.f64 #s(literal 30191289437/10000000000 binary64) x) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- (* 27061/100000 x) 230753/100000) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)) |
(- (* 27061/100000 x) 230753/100000) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)) |
(- (* 27061/100000 x) 230753/100000) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* x (- 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)) |
(* x (- 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)) |
(* x (- 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 27061/100000))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 27061/100000))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 27061/100000))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)) |
99229/100000 |
#s(literal 99229/100000 binary64) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
| 1× | batch-egg-rewrite |
| 4 632× | lower-*.f32 |
| 4 628× | lower-*.f64 |
| 4 476× | lower-/.f32 |
| 4 474× | lower-/.f64 |
| 2 952× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 105 |
| 0 | 48 | 99 |
| 1 | 228 | 93 |
| 2 | 2079 | 93 |
| 0 | 8343 | 86 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) (*.f64 x x) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))) |
#s(approx (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))) (fma.f64 (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) (*.f64 x x) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)))) |
(fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) |
(*.f64 x x) |
(-.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)))) |
(fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
| Outputs |
|---|
(+.f64 #s(literal -230753/100000 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)))) |
(+.f64 (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64))))) |
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) (+.f64 #s(literal -230753/100000 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)))))) |
(+.f64 (*.f64 x (*.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)))) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))) |
(+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64))) #s(literal -230753/100000 binary64)) |
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(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal 53246947009/10000000000 binary64)) (*.f64 x #s(literal -6966730611456061/1000000000000000 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27519781727879580139643921576453/1000000000000000000000000000000 binary64) #s(literal -12286892763167777/1000000000000000 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27519781727879580139643921576453/1000000000000000000000000000000 binary64) #s(literal -12286892763167777/1000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal 53246947009/10000000000 binary64)) (*.f64 x #s(literal -6966730611456061/1000000000000000 binary64))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)))) |
(+.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) |
(+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64)) |
(-.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) |
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (/.f64 #s(literal 53246947009/10000000000 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)))) (/.f64 (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64)) (neg.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 536259952181793841/100000000000000000000 binary64)) (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64))) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (/.f64 (/.f64 #s(literal 2835237365779254046081/100000000000000000000 binary64) (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64))) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64)) (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x #s(literal 6244406933/10000000000 binary64))))) (/.f64 #s(literal 12286892763167777/1000000000000000 binary64) (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x #s(literal 6244406933/10000000000 binary64)))))) |
(-.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal -230753/100000 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)) (*.f64 x #s(literal -6244406933/10000000000 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64) #s(literal -12286892763167777/1000000000000000 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64)))) |
(/.f64 (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64))) (neg.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64) #s(literal -12286892763167777/1000000000000000 binary64)) (-.f64 (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)) (*.f64 x #s(literal -6244406933/10000000000 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64) #s(literal -12286892763167777/1000000000000000 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (*.f64 x #s(literal -6244406933/10000000000 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)) (*.f64 x #s(literal -6244406933/10000000000 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64) #s(literal -12286892763167777/1000000000000000 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64) #s(literal -12286892763167777/1000000000000000 binary64))) (neg.f64 (-.f64 (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)) (*.f64 x #s(literal -6244406933/10000000000 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64) #s(literal -12286892763167777/1000000000000000 binary64))) (neg.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (*.f64 x #s(literal -6244406933/10000000000 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64)) (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x #s(literal 6244406933/10000000000 binary64))))) |
(/.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)))) (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 53246947009/10000000000 binary64))) (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))))) (neg.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x #s(literal 6244406933/10000000000 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64) #s(literal -12286892763167777/1000000000000000 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)) (*.f64 x #s(literal -6244406933/10000000000 binary64)))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)) (*.f64 x #s(literal -6244406933/10000000000 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64) #s(literal -12286892763167777/1000000000000000 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64) #s(literal -12286892763167777/1000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)) (*.f64 x #s(literal -6244406933/10000000000 binary64))))) |
(+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64)) |
(+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)))) |
(-.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)) (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)) (+.f64 #s(literal 9846394441/10000000000 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64))))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)) (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64))) (neg.f64 (+.f64 #s(literal 9846394441/10000000000 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64))) (neg.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)))) |
(/.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64))) (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal 9846394441/10000000000 binary64))) (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)))) (neg.f64 (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)) (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)))) |
Compiled 15 673 to 1 440 computations (90.8% saved)
11 alts after pruning (0 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 489 | 0 | 489 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 9 | 9 |
| Total | 489 | 11 | 500 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 73.9% | (-.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))))) |
| ✓ | 100.0% | (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
| ✓ | 53.1% | (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))) |
| ✓ | 52.0% | (-.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))) |
| ✓ | 98.1% | (-.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) |
| ✓ | 52.9% | (-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x))) |
| ✓ | 51.2% | #s(approx (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))) (fma.f64 (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) (*.f64 x x) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)))) |
| ✓ | 51.1% | #s(approx (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))) |
| ✓ | 49.7% | #s(approx (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))) (fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))) |
| ✓ | 57.1% | #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))) |
| ✓ | 49.0% | #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64)) |
Compiled 303 to 143 computations (52.8% saved)
| Inputs |
|---|
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64)) |
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))) |
(-.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) |
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))) |
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))) |
#s(approx (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))) (fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))) |
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x))) |
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))) |
#s(approx (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))) |
#s(approx (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))) (fma.f64 (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) (*.f64 x x) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)))) |
(-.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))) |
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x))) |
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))) |
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
(-.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))))) |
(-.f64 x (/.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))))) |
| Outputs |
|---|
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
2 calls:
| 5.0ms | x |
| 5.0ms | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64)) |
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))) |
(-.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) #s(literal 230753/100000 binary64))) |
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))) |
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))) |
#s(approx (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))) (fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))) |
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x))) |
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))) |
#s(approx (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))) |
#s(approx (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))) (fma.f64 (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) (*.f64 x x) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)))) |
(-.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))) |
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x))) |
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))) |
| Outputs |
|---|
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))) |
2 calls:
| 6.0ms | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 1 | x |
| 98.1% | 1 | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
Compiled 20 to 15 computations (25% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64)) |
| Outputs |
|---|
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64)) |
2 calls:
| 1.0ms | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.0% | 1 | x |
| 49.0% | 1 | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
Compiled 20 to 15 computations (25% saved)
| 1× | egg-herbie |
| 12× | +-commutative_binary64 |
| 12× | sub-neg_binary64 |
| 8× | *-commutative_binary64 |
| 8× | neg-sub0_binary64 |
| 8× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 52 |
| 1 | 30 | 52 |
| 2 | 41 | 52 |
| 3 | 49 | 52 |
| 4 | 55 | 52 |
| 5 | 57 | 52 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))) |
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64)) |
| Outputs |
|---|
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))) |
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64)) |
| 9 368× | lower-fma.f64 |
| 9 368× | lower-fma.f32 |
| 6 906× | lower-fma.f64 |
| 6 906× | lower-fma.f32 |
| 5 346× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 128 | 590 |
| 1 | 360 | 582 |
| 2 | 869 | 556 |
| 3 | 2171 | 520 |
| 4 | 6808 | 520 |
| 0 | 8193 | 466 |
| 0 | 14 | 64 |
| 0 | 22 | 64 |
| 1 | 92 | 64 |
| 2 | 738 | 64 |
| 0 | 8420 | 53 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 90 to 42 computations (53.3% saved)
Compiled 78 to 54 computations (30.8% saved)
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