
Time bar (total: 9.0s)
| 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)
| 1.3s | 8 256× | 0 | valid |
const: 564.0ms (51.1% of total)ival-mult: 192.0ms (17.4% of total)ival-add: 153.0ms (13.9% of total)ival-sub: 127.0ms (11.5% of total)ival-div: 52.0ms (4.7% of total)ival-true: 6.0ms (0.5% of total)exact: 5.0ms (0.5% of total)ival-assert: 4.0ms (0.4% of total)| 2× | egg-herbie |
| 1 400× | accelerator-lowering-fma.f32 |
| 1 400× | accelerator-lowering-fma.f64 |
| 584× | *-lowering-*.f32 |
| 584× | *-lowering-*.f64 |
| 564× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 60 |
| 1 | 62 | 52 |
| 2 | 174 | 52 |
| 3 | 424 | 51 |
| 4 | 819 | 51 |
| 5 | 1334 | 51 |
| 6 | 2153 | 51 |
| 7 | 2989 | 51 |
| 8 | 3361 | 51 |
| 9 | 3536 | 51 |
| 10 | 3818 | 51 |
| 11 | 3840 | 51 |
| 12 | 3880 | 51 |
| 13 | 4307 | 51 |
| 0 | 14 | 17 |
| 1 | 30 | 17 |
| 2 | 51 | 17 |
| 3 | 63 | 17 |
| 4 | 71 | 17 |
| 5 | 90 | 17 |
| 6 | 148 | 17 |
| 7 | 305 | 17 |
| 8 | 777 | 17 |
| 9 | 1486 | 17 |
| 10 | 2759 | 17 |
| 11 | 3233 | 17 |
| 12 | 3349 | 17 |
| 13 | 3393 | 17 |
| 14 | 3401 | 17 |
| 15 | 3401 | 17 |
| 0 | 3401 | 14 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) |
| Outputs |
|---|
(- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) |
(-.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) |
| Inputs |
|---|
(- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) |
(- (/ (+ 230753/100000 (* (neg x) 27061/100000)) (+ 1 (* (neg x) (+ 99229/100000 (* (neg x) 4481/100000))))) (neg x)) |
(neg (- (/ (+ 230753/100000 (* (neg x) 27061/100000)) (+ 1 (* (neg x) (+ 99229/100000 (* (neg x) 4481/100000))))) (neg x))) |
| Outputs |
|---|
(- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) |
(- (/ (+ (* x -27061/100000) -230753/100000) (- -1 (* x (- 99229/100000 (* x -4481/100000))))) x) |
(- (/ (+ 230753/100000 (* (neg x) 27061/100000)) (+ 1 (* (neg x) (+ 99229/100000 (* (neg x) 4481/100000))))) (neg x)) |
(+ x (/ (+ 230753/100000 (* x -27061/100000)) (+ 1 (* x (+ (* x 4481/100000) -99229/100000))))) |
(neg (- (/ (+ 230753/100000 (* (neg x) 27061/100000)) (+ 1 (* (neg x) (+ 99229/100000 (* (neg x) 4481/100000))))) (neg x))) |
(- (/ (+ 230753/100000 (* x -27061/100000)) (+ -1 (* x (+ 99229/100000 (* x -4481/100000))))) x) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 62 | 0 | - | 0 | - | (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) |
| 0 | 0 | - | 0 | - | (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.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 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 27061/100000 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 x (+.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 |
| 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 |
| 70.0ms | 512× | 0 | valid |
Compiled 180 to 60 computations (66.7% saved)
const: 26.0ms (49.4% of total)ival-add: 10.0ms (19% of total)ival-mult: 10.0ms (19% of total)ival-div: 3.0ms (5.7% of total)ival-sub: 2.0ms (3.8% of total)ival-true: 0.0ms (0% 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 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.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 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) |
| ✓ | cost-diff | 192 | (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) |
| ✓ | cost-diff | 192 | (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) |
| ✓ | cost-diff | 192 | (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) |
| 1 400× | accelerator-lowering-fma.f32 |
| 1 400× | accelerator-lowering-fma.f64 |
| 584× | *-lowering-*.f32 |
| 584× | *-lowering-*.f64 |
| 480× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 70 |
| 1 | 30 | 70 |
| 2 | 51 | 70 |
| 3 | 63 | 70 |
| 4 | 71 | 70 |
| 5 | 90 | 70 |
| 6 | 148 | 70 |
| 7 | 305 | 70 |
| 8 | 777 | 70 |
| 9 | 1486 | 70 |
| 10 | 2759 | 70 |
| 11 | 3233 | 70 |
| 12 | 3349 | 70 |
| 13 | 3393 | 70 |
| 14 | 3401 | 70 |
| 15 | 3401 | 70 |
| 0 | 3401 | 59 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) |
(/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) |
(+ 230753/100000 (* x 27061/100000)) |
230753/100000 |
(* x 27061/100000) |
x |
27061/100000 |
(+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) |
1 |
(* x (+ 99229/100000 (* x 4481/100000))) |
(+ 99229/100000 (* x 4481/100000)) |
99229/100000 |
(* x 4481/100000) |
4481/100000 |
| Outputs |
|---|
(- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) |
(-.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) |
(/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) |
(/.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))) |
(+ 230753/100000 (* x 27061/100000)) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(* x 27061/100000) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 0 binary64)) |
x |
27061/100000 |
#s(literal 27061/100000 binary64) |
(+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(* x (+ 99229/100000 (* x 4481/100000))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 0 binary64)) |
(+ 99229/100000 (* x 4481/100000)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
99229/100000 |
#s(literal 99229/100000 binary64) |
(* x 4481/100000) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 0 binary64)) |
4481/100000 |
#s(literal 4481/100000 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 27061/100000 binary64)) |
| ✓ | accuracy | 99.4% | (*.f64 x #s(literal 4481/100000 binary64)) |
| ✓ | accuracy | 77.4% | (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) |
| 35.0ms | 256× | 0 | valid |
Compiled 72 to 16 computations (77.8% saved)
const: 13.0ms (50.8% of total)ival-mult: 5.0ms (19.5% of total)ival-add: 3.0ms (11.7% of total)ival-div: 2.0ms (7.8% of total)ival-sub: 2.0ms (7.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ 230753/100000 (* x 27061/100000))> |
#<alt (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))> |
#<alt (+ 99229/100000 (* x 4481/100000))> |
#<alt (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)> |
#<alt (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))))> |
#<alt (* x 4481/100000)> |
#<alt (* x 27061/100000)> |
#<alt (* x (+ 99229/100000 (* x 4481/100000)))> |
| 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 (+ 230753/100000 (* -30191289437/10000000000 x))> |
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))> |
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))> |
#<alt (* -1 x)> |
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))> |
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))> |
#<alt (* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))> |
#<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 | @ | -inf | (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) |
| 0.0ms | x | @ | inf | (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) |
| 0.0ms | x | @ | inf | (+ 230753/100000 (* x 27061/100000)) |
| 0.0ms | x | @ | inf | (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) |
| 0.0ms | x | @ | -inf | (* x 27061/100000) |
| 1× | batch-egg-rewrite |
| 7 866× | accelerator-lowering-fma.f32 |
| 7 866× | accelerator-lowering-fma.f64 |
| 5 638× | *-lowering-*.f32 |
| 5 638× | *-lowering-*.f64 |
| 3 966× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 64 |
| 1 | 90 | 64 |
| 2 | 799 | 64 |
| 0 | 8379 | 53 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 230753/100000 (* x 27061/100000)) |
(+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) |
(+ 99229/100000 (* x 4481/100000)) |
(- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) |
(/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) |
(* x 4481/100000) |
(* x 27061/100000) |
(* x (+ 99229/100000 (* x 4481/100000))) |
| 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 (*.f64 x 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 (*.f64 x 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 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))))) |
| 1× | egg-herbie |
| 10 760× | accelerator-lowering-fma.f32 |
| 10 760× | accelerator-lowering-fma.f64 |
| 3 992× | *-lowering-*.f32 |
| 3 992× | *-lowering-*.f64 |
| 1 442× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 122 | 592 |
| 1 | 337 | 584 |
| 2 | 799 | 558 |
| 3 | 1945 | 522 |
| 4 | 6969 | 522 |
| 0 | 8157 | 468 |
| 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 |
(+ 230753/100000 (* -30191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))) |
(* -1 x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(* -1 x) |
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2)))))) |
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) |
(+ 230753/100000 (* -30191289437/10000000000 x)) |
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))) |
(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)) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)) |
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x) |
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(-.f64 (/.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) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) |
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x) |
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) 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 (+.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))) |
Compiled 19 753 to 2 014 computations (89.8% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 581 | 8 | 589 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 582 | 8 | 590 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.3% | (fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
| 60.6% | (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) | |
| ▶ | 100.0% | (-.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) |
| ▶ | 47.7% | (-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x) |
| 48.8% | (-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) | |
| ▶ | 98.1% | (-.f64 #s(literal 230753/100000 binary64) x) |
| 48.8% | (-.f64 #s(literal 0 binary64) x) | |
| ▶ | 53.4% | #s(literal 230753/100000 binary64) |
Compiled 108 to 80 computations (25.9% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1651231776/20079361 binary64) x) |
| ✓ | 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 | (-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x) |
| ✓ | 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 | (-.f64 #s(literal 230753/100000 binary64) x) |
| ✓ | 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 (/.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) |
| 2 608× | accelerator-lowering-fma.f32 |
| 2 608× | accelerator-lowering-fma.f64 |
| 1 056× | *-lowering-*.f32 |
| 1 056× | *-lowering-*.f64 |
| 804× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 108 |
| 1 | 56 | 108 |
| 2 | 95 | 108 |
| 3 | 120 | 108 |
| 4 | 139 | 108 |
| 5 | 179 | 108 |
| 6 | 280 | 108 |
| 7 | 523 | 108 |
| 8 | 1287 | 108 |
| 9 | 2396 | 108 |
| 10 | 3884 | 108 |
| 11 | 4484 | 108 |
| 12 | 4704 | 108 |
| 13 | 4780 | 108 |
| 14 | 4798 | 108 |
| 15 | 4840 | 108 |
| 16 | 5254 | 108 |
| 17 | 5254 | 108 |
| 0 | 5254 | 95 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x) |
(/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) |
(+ (* x 27061/100000) 230753/100000) |
x |
27061/100000 |
230753/100000 |
(+ (* x (+ (* x 4481/100000) 99229/100000)) 1) |
(+ (* x 4481/100000) 99229/100000) |
4481/100000 |
99229/100000 |
1 |
230753/100000 |
(- 230753/100000 x) |
230753/100000 |
x |
(+ (* x (+ (* x 1900161040244073/1000000000000000) -30191289437/10000000000)) 230753/100000) |
x |
(+ (* x 1900161040244073/1000000000000000) -30191289437/10000000000) |
1900161040244073/1000000000000000 |
-30191289437/10000000000 |
230753/100000 |
(- (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x) x) |
(/ (+ 27061/4481 (/ -1651231776/20079361 x)) x) |
(+ 27061/4481 (/ -1651231776/20079361 x)) |
27061/4481 |
(/ -1651231776/20079361 x) |
-1651231776/20079361 |
x |
| Outputs |
|---|
(- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x) |
(-.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) |
(/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 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))) |
(+ (* x 27061/100000) 230753/100000) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
x |
27061/100000 |
#s(literal 27061/100000 binary64) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ (* x (+ (* x 4481/100000) 99229/100000)) 1) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(+ (* x 4481/100000) 99229/100000) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
4481/100000 |
#s(literal 4481/100000 binary64) |
99229/100000 |
#s(literal 99229/100000 binary64) |
1 |
#s(literal 1 binary64) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(- 230753/100000 x) |
(-.f64 #s(literal 230753/100000 binary64) x) |
230753/100000 |
#s(literal 230753/100000 binary64) |
x |
(+ (* x (+ (* x 1900161040244073/1000000000000000) -30191289437/10000000000)) 230753/100000) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
x |
(+ (* x 1900161040244073/1000000000000000) -30191289437/10000000000) |
(fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) |
1900161040244073/1000000000000000 |
#s(literal 1900161040244073/1000000000000000 binary64) |
-30191289437/10000000000 |
#s(literal -30191289437/10000000000 binary64) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(- (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x) x) |
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x) |
(/ (+ 27061/4481 (/ -1651231776/20079361 x)) x) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) |
(+ 27061/4481 (/ -1651231776/20079361 x)) |
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) |
27061/4481 |
#s(literal 27061/4481 binary64) |
(/ -1651231776/20079361 x) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
-1651231776/20079361 |
#s(literal -1651231776/20079361 binary64) |
x |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) |
| ✓ | accuracy | 99.7% | (/.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 | 99.9% | (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 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 | 100.0% | (-.f64 #s(literal 230753/100000 binary64) x) |
| ✓ | accuracy | 99.9% | (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.8% | (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
| ✓ | accuracy | 99.7% | (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
| ✓ | accuracy | 77.4% | (/.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))) |
| 89.0ms | 256× | 0 | valid |
Compiled 97 to 29 computations (70.1% saved)
const: 30.0ms (55.2% of total)ival-add: 8.0ms (14.7% of total)ival-mult: 8.0ms (14.7% of total)ival-div: 5.0ms (9.2% of total)ival-sub: 3.0ms (5.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x)> |
#<alt (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))> |
#<alt (+ (* x 27061/100000) 230753/100000)> |
#<alt (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)> |
#<alt (- 230753/100000 x)> |
#<alt (+ (* x (+ (* x 1900161040244073/1000000000000000) -30191289437/10000000000)) 230753/100000)> |
#<alt (+ (* x 1900161040244073/1000000000000000) -30191289437/10000000000)> |
#<alt (- (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x) x)> |
#<alt (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x)> |
#<alt (+ 27061/4481 (/ -1651231776/20079361 x))> |
#<alt (/ -1651231776/20079361 x)> |
#<alt (+ (* x 4481/100000) 99229/100000)> |
| Outputs |
|---|
#<alt 230753/100000> |
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))> |
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))> |
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))> |
#<alt (* -1 x)> |
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))> |
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))> |
#<alt (* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))> |
#<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 (+ 230753/100000 (* -1 x))> |
#<alt (+ 230753/100000 (* -1 x))> |
#<alt (+ 230753/100000 (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (* 230753/100000 (/ 1 x)) 1))> |
#<alt (* x (- (* 230753/100000 (/ 1 x)) 1))> |
#<alt (* x (- (* 230753/100000 (/ 1 x)) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (* 230753/100000 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1 (* 230753/100000 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1 (* 230753/100000 (/ 1 x)))))> |
#<alt 230753/100000> |
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))> |
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))> |
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))> |
#<alt (* 1900161040244073/1000000000000000 (pow x 2))> |
#<alt (* (pow x 2) (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 30191289437/10000000000 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 30191289437/10000000000 (/ 1 x))))> |
#<alt (* 1900161040244073/1000000000000000 (pow x 2))> |
#<alt (* (pow x 2) (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1900161040244073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x))))> |
#<alt (* (pow x 2) (+ 1900161040244073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x))))> |
#<alt -30191289437/10000000000> |
#<alt (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)> |
#<alt (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)> |
#<alt (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)> |
#<alt (* 1900161040244073/1000000000000000 x)> |
#<alt (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))> |
#<alt (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))> |
#<alt (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))> |
#<alt (* 1900161040244073/1000000000000000 x)> |
#<alt (* -1 (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)))> |
#<alt (* -1 (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)))> |
#<alt (* -1 (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)))> |
#<alt (/ -1651231776/20079361 (pow x 2))> |
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))> |
#<alt (/ (- (* x (+ 27061/4481 (* -1 (pow x 2)))) 1651231776/20079361) (pow x 2))> |
#<alt (/ (- (* x (+ 27061/4481 (* -1 (pow x 2)))) 1651231776/20079361) (pow x 2))> |
#<alt (* -1 x)> |
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))> |
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))> |
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))> |
#<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 (/ -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)> |
#<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))))> |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (- (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x) x) |
| 0.0ms | x | @ | 0 | (- (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x) x) |
| 0.0ms | x | @ | 0 | (/ -1651231776/20079361 x) |
| 0.0ms | x | @ | 0 | (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x) |
| 0.0ms | x | @ | inf | (+ (* x (+ (* x 1900161040244073/1000000000000000) -30191289437/10000000000)) 230753/100000) |
| 1× | batch-egg-rewrite |
| 5 022× | /-lowering-/.f32 |
| 5 022× | /-lowering-/.f64 |
| 4 822× | accelerator-lowering-fma.f32 |
| 4 822× | accelerator-lowering-fma.f64 |
| 4 182× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 92 |
| 1 | 184 | 92 |
| 2 | 1601 | 92 |
| 0 | 8552 | 79 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x) |
(/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) |
(+ (* x 27061/100000) 230753/100000) |
(+ (* x (+ (* x 4481/100000) 99229/100000)) 1) |
(- 230753/100000 x) |
(+ (* x (+ (* x 1900161040244073/1000000000000000) -30191289437/10000000000)) 230753/100000) |
(+ (* x 1900161040244073/1000000000000000) -30191289437/10000000000) |
(- (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x) x) |
(/ (+ 27061/4481 (/ -1651231776/20079361 x)) x) |
(+ 27061/4481 (/ -1651231776/20079361 x)) |
(/ -1651231776/20079361 x) |
(+ (* x 4481/100000) 99229/100000) |
| Outputs |
|---|
(+.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 0 binary64) x)) |
(+.f64 (-.f64 #s(literal 0 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 (/.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 (/.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 (+.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 (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 x (*.f64 x x)) (fma.f64 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 (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 (*.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 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 (*.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 (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 0 binary64) x))) (/.f64 (*.f64 x x) (-.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 0 binary64) x)))) |
(fma.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))) (-.f64 #s(literal 0 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))) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) x)) |
(fma.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 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #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))))) (-.f64 #s(literal 0 binary64) x)) |
(fma.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))) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (/.f64 #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 #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)))) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 #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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.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 #s(literal 0 binary64) x)) |
(fma.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 1 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))) (-.f64 #s(literal 0 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 #s(literal 1 binary64) (*.f64 (-.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)))) (-.f64 #s(literal 0 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 #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)))) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (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))) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 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)))) (/.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)))) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 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)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 (*.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)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) #s(literal 1 binary64))) (-.f64 (fma.f64 x (*.f64 (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)))) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 (*.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)) (*.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 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 (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)))))) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 (/.f64 (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)))) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 (/.f64 (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 #s(literal 1 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)))) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 binary64))) #s(literal -1 binary64)) (/.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)))) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 binary64)) (fma.f64 (*.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)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 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)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 (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)))))) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 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 #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)))) (/.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)))) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (fma.f64 (*.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)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 (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)))))) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 (/.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 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (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)))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.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))) |
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(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 #s(literal 1 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (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 9846394441/10000000000 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 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 (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 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 #s(literal 1 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 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))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) #s(literal 3 binary64))) (fma.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 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (fma.f64 (/.f64 #s(literal 9846394441/10000000000 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 (*.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))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 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 (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)) (/.f64 #s(literal 1 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)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)))) |
(*.f64 (neg.f64 (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 (*.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 x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64))) (/.f64 #s(literal 1 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 1 binary64) (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) |
| 1× | egg-herbie |
| 7 968× | accelerator-lowering-fma.f32 |
| 7 968× | accelerator-lowering-fma.f64 |
| 2 612× | *-lowering-*.f32 |
| 2 612× | *-lowering-*.f64 |
| 2 176× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 157 | 909 |
| 1 | 443 | 892 |
| 2 | 1087 | 826 |
| 3 | 2682 | 782 |
| 4 | 7420 | 782 |
| 0 | 8016 | 713 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
230753/100000 |
(+ 230753/100000 (* -30191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))) |
(* -1 x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(* -1 x) |
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2)))))) |
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 |
(+ 230753/100000 (* -1 x)) |
(+ 230753/100000 (* -1 x)) |
(+ 230753/100000 (* -1 x)) |
(* -1 x) |
(* x (- (* 230753/100000 (/ 1 x)) 1)) |
(* x (- (* 230753/100000 (/ 1 x)) 1)) |
(* x (- (* 230753/100000 (/ 1 x)) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (* 230753/100000 (/ 1 x))))) |
(* -1 (* x (- 1 (* 230753/100000 (/ 1 x))))) |
(* -1 (* x (- 1 (* 230753/100000 (/ 1 x))))) |
230753/100000 |
(+ 230753/100000 (* -30191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) |
(* 1900161040244073/1000000000000000 (pow x 2)) |
(* (pow x 2) (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))) |
(* (pow x 2) (- (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 30191289437/10000000000 (/ 1 x)))) |
(* (pow x 2) (- (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 30191289437/10000000000 (/ 1 x)))) |
(* 1900161040244073/1000000000000000 (pow x 2)) |
(* (pow x 2) (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))) |
(* (pow x 2) (+ 1900161040244073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x)))) |
(* (pow x 2) (+ 1900161040244073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x)))) |
-30191289437/10000000000 |
(- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000) |
(- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000) |
(- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000) |
(* 1900161040244073/1000000000000000 x) |
(* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))) |
(* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))) |
(* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))) |
(* 1900161040244073/1000000000000000 x) |
(* -1 (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))) |
(* -1 (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))) |
(* -1 (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))) |
(/ -1651231776/20079361 (pow x 2)) |
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2)) |
(/ (- (* x (+ 27061/4481 (* -1 (pow x 2)))) 1651231776/20079361) (pow x 2)) |
(/ (- (* x (+ 27061/4481 (* -1 (pow x 2)))) 1651231776/20079361) (pow x 2)) |
(* -1 x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(* -1 x) |
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(/ -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))) |
(/ -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) |
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) |
(+ 230753/100000 (* -30191289437/10000000000 x)) |
(fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))) |
(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)) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)) |
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) x) |
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(-.f64 (/.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) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) |
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) x) |
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) 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 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) |
(+ 230753/100000 (* -1 x)) |
(-.f64 #s(literal 230753/100000 binary64) x) |
(+ 230753/100000 (* -1 x)) |
(-.f64 #s(literal 230753/100000 binary64) x) |
(+ 230753/100000 (* -1 x)) |
(-.f64 #s(literal 230753/100000 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* x (- (* 230753/100000 (/ 1 x)) 1)) |
(-.f64 #s(literal 230753/100000 binary64) x) |
(* x (- (* 230753/100000 (/ 1 x)) 1)) |
(-.f64 #s(literal 230753/100000 binary64) x) |
(* x (- (* 230753/100000 (/ 1 x)) 1)) |
(-.f64 #s(literal 230753/100000 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 (* x (- 1 (* 230753/100000 (/ 1 x))))) |
(-.f64 #s(literal 230753/100000 binary64) x) |
(* -1 (* x (- 1 (* 230753/100000 (/ 1 x))))) |
(-.f64 #s(literal 230753/100000 binary64) x) |
(* -1 (* x (- 1 (* 230753/100000 (/ 1 x))))) |
(-.f64 #s(literal 230753/100000 binary64) x) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -30191289437/10000000000 x)) |
(fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(* 1900161040244073/1000000000000000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))) |
(* (pow x 2) (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64))) |
(* (pow x 2) (- (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 30191289437/10000000000 (/ 1 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(* (pow x 2) (- (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 30191289437/10000000000 (/ 1 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(* 1900161040244073/1000000000000000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))) |
(* (pow x 2) (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64))) |
(* (pow x 2) (+ 1900161040244073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x)))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(* (pow x 2) (+ 1900161040244073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x)))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
-30191289437/10000000000 |
#s(literal -30191289437/10000000000 binary64) |
(- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000) |
(fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) |
(- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000) |
(fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) |
(- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000) |
(fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) |
(* 1900161040244073/1000000000000000 x) |
(*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)) |
(* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))) |
(fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) |
(* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))) |
(fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) |
(* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))) |
(fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) |
(* 1900161040244073/1000000000000000 x) |
(*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)) |
(* -1 (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))) |
(fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) |
(* -1 (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))) |
(fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) |
(* -1 (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))) |
(fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) |
(/ -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)) |
(/ (- (* x (+ 27061/4481 (* -1 (pow x 2)))) 1651231776/20079361) (pow x 2)) |
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) x) |
(/ (- (* x (+ 27061/4481 (* -1 (pow x 2)))) 1651231776/20079361) (pow x 2)) |
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)) |
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) |
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) x) |
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 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 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)) |
(/ -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) |
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)) |
Compiled 16 289 to 1 754 computations (89.2% saved)
10 alts after pruning (6 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 632 | 3 | 635 |
| Fresh | 0 | 3 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 633 | 10 | 643 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.3% | (fma.f64 (*.f64 x x) #s(literal 1900161040244073/1000000000000000 binary64) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) |
| ✓ | 54.3% | (fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
| ▶ | 60.6% | (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
| ▶ | 47.7% | (-.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) x) |
| ✓ | 100.0% | (-.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) |
| 49.0% | (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) x) | |
| ▶ | 48.8% | (-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) |
| ✓ | 98.1% | (-.f64 #s(literal 230753/100000 binary64) x) |
| ▶ | 48.8% | (-.f64 #s(literal 0 binary64) x) |
| ✓ | 53.4% | #s(literal 230753/100000 binary64) |
Compiled 129 to 92 computations (28.7% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | -64 | (*.f64 x x) |
| ✓ | 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 | (-.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) x) |
| ✓ | cost-diff | -64 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
| ✓ | cost-diff | 384 | (fma.f64 (*.f64 x x) #s(literal 1900161040244073/1000000000000000 binary64) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 27061/4481 binary64) x) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) x) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
| 2 632× | accelerator-lowering-fma.f32 |
| 2 632× | accelerator-lowering-fma.f64 |
| 1 880× | div-sub |
| 1 752× | *-lowering-*.f32 |
| 1 752× | *-lowering-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 76 |
| 1 | 35 | 74 |
| 2 | 59 | 74 |
| 3 | 79 | 74 |
| 4 | 95 | 74 |
| 5 | 162 | 74 |
| 6 | 264 | 74 |
| 7 | 419 | 74 |
| 8 | 821 | 74 |
| 9 | 2002 | 70 |
| 10 | 3704 | 70 |
| 11 | 4433 | 70 |
| 12 | 5118 | 70 |
| 13 | 5618 | 70 |
| 14 | 5982 | 70 |
| 15 | 6422 | 70 |
| 16 | 7180 | 70 |
| 0 | 8107 | 65 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* x -30191289437/10000000000) 230753/100000) |
x |
-30191289437/10000000000 |
230753/100000 |
(- 0 x) |
0 |
x |
(- (/ 27061/4481 x) x) |
(/ 27061/4481 x) |
27061/4481 |
x |
(+ (* (* x x) 1900161040244073/1000000000000000) (+ (* x -30191289437/10000000000) 230753/100000)) |
(* x x) |
x |
1900161040244073/1000000000000000 |
(+ (* x -30191289437/10000000000) 230753/100000) |
-30191289437/10000000000 |
230753/100000 |
(- (/ (+ (* x 27061/4481) -1651231776/20079361) (* x x)) x) |
(/ (+ (* x 27061/4481) -1651231776/20079361) (* x x)) |
(+ (* x 27061/4481) -1651231776/20079361) |
x |
27061/4481 |
-1651231776/20079361 |
(* x x) |
| Outputs |
|---|
(+ (* x -30191289437/10000000000) 230753/100000) |
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
x |
-30191289437/10000000000 |
#s(literal -30191289437/10000000000 binary64) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(- 0 x) |
(-.f64 #s(literal 0 binary64) x) |
0 |
#s(literal 0 binary64) |
x |
(- (/ 27061/4481 x) x) |
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
27061/4481 |
#s(literal 27061/4481 binary64) |
x |
(+ (* (* x x) 1900161040244073/1000000000000000) (+ (* x -30191289437/10000000000) 230753/100000)) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
1900161040244073/1000000000000000 |
#s(literal 1900161040244073/1000000000000000 binary64) |
(+ (* x -30191289437/10000000000) 230753/100000) |
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
-30191289437/10000000000 |
#s(literal -30191289437/10000000000 binary64) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(- (/ (+ (* x 27061/4481) -1651231776/20079361) (* x x)) x) |
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (fma.f64 x x #s(literal 0 binary64))) x) |
(/ (+ (* x 27061/4481) -1651231776/20079361) (* x x)) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
(+ (* x 27061/4481) -1651231776/20079361) |
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) |
x |
27061/4481 |
#s(literal 27061/4481 binary64) |
-1651231776/20079361 |
#s(literal -1651231776/20079361 binary64) |
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) x) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.8% | (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) |
| ✓ | accuracy | 77.3% | (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 x x) #s(literal 1900161040244073/1000000000000000 binary64) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) |
| ✓ | accuracy | 99.7% | (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 27061/4481 binary64) x) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 0 binary64) x) |
| ✓ | accuracy | 99.7% | (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
| 73.0ms | 256× | 0 | valid |
Compiled 72 to 21 computations (70.8% saved)
ival-mult: 34.0ms (56.1% of total)const: 16.0ms (26.4% of total)ival-div: 3.0ms (5% of total)ival-sub: 3.0ms (5% of total)ival-add: 3.0ms (5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* x -30191289437/10000000000) 230753/100000)> |
#<alt (- 0 x)> |
#<alt (- (/ 27061/4481 x) x)> |
#<alt (/ 27061/4481 x)> |
#<alt (+ (* (* x x) 1900161040244073/1000000000000000) (+ (* x -30191289437/10000000000) 230753/100000))> |
#<alt (* x x)> |
#<alt (- (/ (+ (* x 27061/4481) -1651231776/20079361) (* x x)) x)> |
#<alt (/ (+ (* x 27061/4481) -1651231776/20079361) (* x x))> |
#<alt (+ (* x 27061/4481) -1651231776/20079361)> |
| Outputs |
|---|
#<alt 230753/100000> |
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))> |
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))> |
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))> |
#<alt (* -30191289437/10000000000 x)> |
#<alt (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))> |
#<alt (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))> |
#<alt (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))> |
#<alt (* -30191289437/10000000000 x)> |
#<alt (* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))> |
#<alt (* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))> |
#<alt (* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (/ 27061/4481 x)> |
#<alt (/ (+ 27061/4481 (* -1 (pow x 2))) x)> |
#<alt (/ (+ 27061/4481 (* -1 (pow x 2))) x)> |
#<alt (/ (+ 27061/4481 (* -1 (pow x 2))) x)> |
#<alt (* -1 x)> |
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))> |
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))> |
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))> |
#<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 (+ 230753/100000 (* -30191289437/10000000000 x))> |
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))> |
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))> |
#<alt (* 1900161040244073/1000000000000000 (pow x 2))> |
#<alt (* (pow x 2) (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 30191289437/10000000000 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 30191289437/10000000000 (/ 1 x))))> |
#<alt (* 1900161040244073/1000000000000000 (pow x 2))> |
#<alt (* (pow x 2) (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1900161040244073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x))))> |
#<alt (* (pow x 2) (+ 1900161040244073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x))))> |
#<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 (/ -1651231776/20079361 (pow x 2))> |
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))> |
#<alt (/ (- (* x (+ 27061/4481 (* -1 (pow x 2)))) 1651231776/20079361) (pow x 2))> |
#<alt (/ (- (* x (+ 27061/4481 (* -1 (pow x 2)))) 1651231776/20079361) (pow x 2))> |
#<alt (* -1 x)> |
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))> |
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))> |
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))> |
#<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)))> |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/ 27061/4481 x) |
| 0.0ms | x | @ | inf | (+ (* (* x x) 1900161040244073/1000000000000000) (+ (* x -30191289437/10000000000) 230753/100000)) |
| 0.0ms | x | @ | -inf | (- (/ 27061/4481 x) x) |
| 0.0ms | x | @ | 0 | (+ (* x -30191289437/10000000000) 230753/100000) |
| 0.0ms | x | @ | inf | (- 0 x) |
| 1× | batch-egg-rewrite |
| 5 260× | *-lowering-*.f32 |
| 5 260× | *-lowering-*.f64 |
| 4 910× | /-lowering-/.f32 |
| 4 910× | /-lowering-/.f64 |
| 4 894× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 54 |
| 1 | 124 | 52 |
| 2 | 1238 | 52 |
| 0 | 9296 | 46 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* x -30191289437/10000000000) 230753/100000) |
(- 0 x) |
(- (/ 27061/4481 x) x) |
(/ 27061/4481 x) |
(+ (* (* x x) 1900161040244073/1000000000000000) (+ (* x -30191289437/10000000000) 230753/100000)) |
(* x x) |
(- (/ (+ (* x 27061/4481) -1651231776/20079361) (* x x)) x) |
(/ (+ (* x 27061/4481) -1651231776/20079361) (* x x)) |
(+ (* x 27061/4481) -1651231776/20079361) |
| Outputs |
|---|
(+.f64 (*.f64 x #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -30191289437/10000000000 binary64))) |
(-.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 911513957868707776969/100000000000000000000 binary64)) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))) (/.f64 #s(literal 53246947009/10000000000 binary64) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)))) |
(-.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -30191289437/10000000000 binary64)))) (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 911513957868707776969/100000000000000000000 binary64)) (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -30191289437/10000000000 binary64))))) |
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
(fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) |
(/.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal -27519781727879580139643921576453/1000000000000000000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 binary64)) (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal 53246947009/10000000000 binary64)) (*.f64 x #s(literal -6966730611456061/1000000000000000 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal -27519781727879580139643921576453/1000000000000000000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (-.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 911513957868707776969/100000000000000000000 binary64)) (*.f64 x #s(literal -6966730611456061/1000000000000000 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal 53246947009/10000000000 binary64)) (*.f64 x #s(literal -6966730611456061/1000000000000000 binary64))) (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal -27519781727879580139643921576453/1000000000000000000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64)))) |
(/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal 53246947009/10000000000 binary64)) (*.f64 x #s(literal -6966730611456061/1000000000000000 binary64))) (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal -27519781727879580139643921576453/1000000000000000000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal -27519781727879580139643921576453/1000000000000000000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 binary64))) (neg.f64 (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal 53246947009/10000000000 binary64)) (*.f64 x #s(literal -6966730611456061/1000000000000000 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal -27519781727879580139643921576453/1000000000000000000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 binary64))) (neg.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (-.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 911513957868707776969/100000000000000000000 binary64)) (*.f64 x #s(literal -6966730611456061/1000000000000000 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64))) (neg.f64 (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)))) |
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(*.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 19816708627981/89975616641 binary64) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 732297721/20079361 binary64) #s(literal 2726566378072114176/403180738168321 binary64)) (*.f64 x #s(literal -44683983090336/89975616641 binary64))))) |
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 732297721/20079361 binary64) #s(literal -2726566378072114176/403180738168321 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64)))) |
| 1× | egg-herbie |
| 5 762× | accelerator-lowering-fma.f32 |
| 5 762× | accelerator-lowering-fma.f64 |
| 2 374× | *-lowering-*.f32 |
| 2 374× | *-lowering-*.f64 |
| 1 354× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 577 |
| 1 | 199 | 560 |
| 2 | 502 | 540 |
| 3 | 1281 | 490 |
| 4 | 3913 | 490 |
| 5 | 5836 | 490 |
| 0 | 8120 | 457 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
230753/100000 |
(+ 230753/100000 (* -30191289437/10000000000 x)) |
(+ 230753/100000 (* -30191289437/10000000000 x)) |
(+ 230753/100000 (* -30191289437/10000000000 x)) |
(* -30191289437/10000000000 x) |
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)) |
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)) |
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)) |
(* -30191289437/10000000000 x) |
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))) |
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))) |
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ 27061/4481 x) |
(/ (+ 27061/4481 (* -1 (pow x 2))) x) |
(/ (+ 27061/4481 (* -1 (pow x 2))) x) |
(/ (+ 27061/4481 (* -1 (pow x 2))) x) |
(* -1 x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))) |
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))) |
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))) |
(/ 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 |
(+ 230753/100000 (* -30191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) |
(* 1900161040244073/1000000000000000 (pow x 2)) |
(* (pow x 2) (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))) |
(* (pow x 2) (- (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 30191289437/10000000000 (/ 1 x)))) |
(* (pow x 2) (- (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 30191289437/10000000000 (/ 1 x)))) |
(* 1900161040244073/1000000000000000 (pow x 2)) |
(* (pow x 2) (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))) |
(* (pow x 2) (+ 1900161040244073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x)))) |
(* (pow x 2) (+ 1900161040244073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x)))) |
(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) |
(/ -1651231776/20079361 (pow x 2)) |
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2)) |
(/ (- (* x (+ 27061/4481 (* -1 (pow x 2)))) 1651231776/20079361) (pow x 2)) |
(/ (- (* x (+ 27061/4481 (* -1 (pow x 2)))) 1651231776/20079361) (pow x 2)) |
(* -1 x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(* -1 x) |
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(/ -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))) |
| Outputs |
|---|
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -30191289437/10000000000 x)) |
(fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* -30191289437/10000000000 x)) |
(fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* -30191289437/10000000000 x)) |
(fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) |
(* -30191289437/10000000000 x) |
(fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 0 binary64)) |
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)) |
(fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) |
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)) |
(fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) |
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)) |
(fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) |
(* -30191289437/10000000000 x) |
(fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 0 binary64)) |
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))) |
(fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) |
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))) |
(fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) |
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))) |
(fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ (+ 27061/4481 (* -1 (pow x 2))) x) |
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) |
(/ (+ 27061/4481 (* -1 (pow x 2))) x) |
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) |
(/ (+ 27061/4481 (* -1 (pow x 2))) x) |
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)) |
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)) |
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)) |
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) |
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) |
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 #s(literal 27061/4481 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) |
(+ 230753/100000 (* -30191289437/10000000000 x)) |
(fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(* 1900161040244073/1000000000000000 (pow x 2)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1900161040244073/1000000000000000 binary64) #s(literal 0 binary64)) |
(* (pow x 2) (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64))) |
(* (pow x 2) (- (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 30191289437/10000000000 (/ 1 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(* (pow x 2) (- (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 30191289437/10000000000 (/ 1 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(* 1900161040244073/1000000000000000 (pow x 2)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1900161040244073/1000000000000000 binary64) #s(literal 0 binary64)) |
(* (pow x 2) (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64))) |
(* (pow x 2) (+ 1900161040244073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x)))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(* (pow x 2) (+ 1900161040244073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x)))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(/ -1651231776/20079361 (pow x 2)) |
(/.f64 #s(literal -1651231776/20079361 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2)) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
(/ (- (* x (+ 27061/4481 (* -1 (pow x 2)))) 1651231776/20079361) (pow x 2)) |
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (fma.f64 x x #s(literal 0 binary64))) x) |
(/ (- (* x (+ 27061/4481 (* -1 (pow x 2)))) 1651231776/20079361) (pow x 2)) |
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (fma.f64 x x #s(literal 0 binary64))) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)) |
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (fma.f64 x x #s(literal 0 binary64))) x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (fma.f64 x x #s(literal 0 binary64))) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) |
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (fma.f64 x x #s(literal 0 binary64))) x) |
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (fma.f64 x x #s(literal 0 binary64))) x) |
(/ -1651231776/20079361 (pow x 2)) |
(/.f64 #s(literal -1651231776/20079361 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2)) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2)) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2)) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (fma.f64 x x #s(literal 0 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)) (fma.f64 x x #s(literal 0 binary64))) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
(/ 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)) (fma.f64 x x #s(literal 0 binary64))) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
-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) |
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal 0 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) |
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal 0 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)) |
Compiled 25 904 to 2 289 computations (91.2% saved)
10 alts after pruning (2 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 891 | 1 | 892 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 892 | 10 | 902 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 54.3% | (fma.f64 (*.f64 x x) #s(literal 1900161040244073/1000000000000000 binary64) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) |
| ✓ | 54.3% | (fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
| ✓ | 60.6% | (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
| ✓ | 47.7% | (-.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) x) |
| ✓ | 100.0% | (-.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) |
| ▶ | 49.0% | (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) x) |
| ✓ | 48.8% | (-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) |
| ✓ | 98.1% | (-.f64 #s(literal 230753/100000 binary64) x) |
| ▶ | 48.8% | (neg.f64 x) |
| ✓ | 53.4% | #s(literal 230753/100000 binary64) |
Compiled 78 to 56 computations (28.2% saved)
| 1× | egg-herbie |
Found 5 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (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)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) x) |
| ✓ | cost-diff | -64 | (neg.f64 x) |
| 4 432× | accelerator-lowering-fma.f32 |
| 4 432× | accelerator-lowering-fma.f64 |
| 1 740× | distribute-lft-in |
| 1 656× | *-lowering-*.f32 |
| 1 656× | *-lowering-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 53 |
| 1 | 31 | 53 |
| 2 | 45 | 53 |
| 3 | 52 | 53 |
| 4 | 61 | 53 |
| 5 | 89 | 53 |
| 6 | 186 | 53 |
| 7 | 414 | 53 |
| 8 | 1053 | 53 |
| 9 | 2080 | 49 |
| 10 | 4656 | 49 |
| 11 | 5666 | 49 |
| 12 | 6070 | 49 |
| 13 | 6551 | 49 |
| 14 | 6831 | 49 |
| 15 | 6875 | 49 |
| 16 | 7779 | 49 |
| 0 | 8376 | 44 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(neg x) |
x |
(- (/ (+ (* x 27061/100000) 230753/100000) (* x (+ (* x 4481/100000) 99229/100000))) x) |
(/ (+ (* x 27061/100000) 230753/100000) (* x (+ (* x 4481/100000) 99229/100000))) |
(+ (* x 27061/100000) 230753/100000) |
x |
27061/100000 |
230753/100000 |
(* x (+ (* x 4481/100000) 99229/100000)) |
(+ (* x 4481/100000) 99229/100000) |
4481/100000 |
99229/100000 |
| Outputs |
|---|
(neg x) |
(-.f64 #s(literal 0 binary64) x) |
x |
(- (/ (+ (* x 27061/100000) 230753/100000) (* x (+ (* x 4481/100000) 99229/100000))) x) |
(-.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 0 binary64))) x) |
(/ (+ (* x 27061/100000) 230753/100000) (* x (+ (* x 4481/100000) 99229/100000))) |
(/.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 0 binary64))) |
(+ (* x 27061/100000) 230753/100000) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
x |
27061/100000 |
#s(literal 27061/100000 binary64) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(* x (+ (* x 4481/100000) 99229/100000)) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 0 binary64)) |
(+ (* x 4481/100000) 99229/100000) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
4481/100000 |
#s(literal 4481/100000 binary64) |
99229/100000 |
#s(literal 99229/100000 binary64) |
Found 5 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
| ✓ | accuracy | 99.8% | (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
| ✓ | accuracy | 99.7% | (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
| ✓ | accuracy | 77.0% | (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| 35.0ms | 256× | 0 | valid |
Compiled 48 to 15 computations (68.8% saved)
const: 12.0ms (51.3% of total)ival-mult: 5.0ms (21.4% of total)ival-div: 2.0ms (8.6% of total)ival-add: 2.0ms (8.6% of total)ival-sub: 1.0ms (4.3% of total)ival-neg: 1.0ms (4.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (neg x)> |
#<alt (- (/ (+ (* x 27061/100000) 230753/100000) (* x (+ (* x 4481/100000) 99229/100000))) x)> |
#<alt (/ (+ (* x 27061/100000) 230753/100000) (* x (+ (* x 4481/100000) 99229/100000)))> |
#<alt (+ (* x 27061/100000) 230753/100000)> |
#<alt (+ (* x 4481/100000) 99229/100000)> |
#<alt (* x (+ (* x 4481/100000) 99229/100000))> |
| Outputs |
|---|
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (/ 230753/99229 x)> |
#<alt (/ (+ 230753/99229 (* 1651231776/9846394441 x)) x)> |
#<alt (/ (+ 230753/99229 (* x (+ 1651231776/9846394441 (* -984447043574245/977047873985989 x)))) x)> |
#<alt (/ (+ 230753/99229 (* x (+ 1651231776/9846394441 (* x (- (* 33155678924975136/96951483487755702481 x) 984447043574245/977047873985989))))) x)> |
#<alt (* -1 x)> |
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))> |
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))> |
#<alt (* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 163850077900704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- (* 163850077900704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))> |
#<alt (/ 230753/99229 x)> |
#<alt (/ (+ 230753/99229 (* 1651231776/9846394441 x)) x)> |
#<alt (/ (+ 230753/99229 (* x (+ 1651231776/9846394441 (* -7399169588256/977047873985989 x)))) x)> |
#<alt (/ (+ 230753/99229 (* x (+ 1651231776/9846394441 (* x (- (* 33155678924975136/96951483487755702481 x) 7399169588256/977047873985989))))) x)> |
#<alt (/ 27061/4481 x)> |
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ (- (+ 27061/4481 (/ 163850077900704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ (- (+ 27061/4481 (/ 163850077900704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 16258679380008957216/403180738168321 (/ 1 (pow x 3))))) x)> |
#<alt (/ 27061/4481 x)> |
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 163850077900704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16258679380008957216/403180738168321 (/ 1 x)) 163850077900704/89975616641) 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 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 (* 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))))> |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (- (/ (+ (* x 27061/100000) 230753/100000) (* x (+ (* x 4481/100000) 99229/100000))) x) |
| 0.0ms | x | @ | -inf | (- (/ (+ (* x 27061/100000) 230753/100000) (* x (+ (* x 4481/100000) 99229/100000))) x) |
| 0.0ms | x | @ | inf | (- (/ (+ (* x 27061/100000) 230753/100000) (* x (+ (* x 4481/100000) 99229/100000))) x) |
| 0.0ms | x | @ | inf | (/ (+ (* x 27061/100000) 230753/100000) (* x (+ (* x 4481/100000) 99229/100000))) |
| 0.0ms | x | @ | 0 | (/ (+ (* x 27061/100000) 230753/100000) (* x (+ (* x 4481/100000) 99229/100000))) |
| 1× | batch-egg-rewrite |
| 7 214× | accelerator-lowering-fma.f32 |
| 7 214× | accelerator-lowering-fma.f64 |
| 5 600× | *-lowering-*.f32 |
| 5 600× | *-lowering-*.f64 |
| 4 370× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 47 |
| 1 | 80 | 47 |
| 2 | 673 | 47 |
| 0 | 8424 | 40 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(neg x) |
(- (/ (+ (* x 27061/100000) 230753/100000) (* x (+ (* x 4481/100000) 99229/100000))) x) |
(/ (+ (* x 27061/100000) 230753/100000) (* x (+ (* x 4481/100000) 99229/100000))) |
(+ (* x 27061/100000) 230753/100000) |
(+ (* x 4481/100000) 99229/100000) |
(* x (+ (* x 4481/100000) 99229/100000)) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 0 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x)) |
(neg.f64 x) |
(/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) x) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 x #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) |
(+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) |
(+.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) (-.f64 #s(literal 0 binary64) x)) |
(+.f64 #s(literal 0 binary64) (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) x)) |
(+.f64 (/.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 (*.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)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))))) (fma.f64 x (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) (/.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 #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) (/.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 #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))))))) |
(+.f64 (/.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 #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 x (*.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)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))))) |
(-.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64))))) |
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) x) |
(-.f64 #s(literal 0 binary64) (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))) |
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(/.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64))) (+.f64 (fma.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal -444645149/10000000000 binary64)))) |
(/.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64))) (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64))))) |
(/.f64 (*.f64 x (fma.f64 x (*.f64 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 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64)) x) (+.f64 (fma.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal -444645149/10000000000 binary64)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64)) x) (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64))))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal -9846394441/10000000000 binary64)) x) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64)) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 977047873985989/1000000000000000 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64))) (*.f64 x x) (*.f64 (*.f64 x #s(literal 99229/100000 binary64)) (-.f64 (*.f64 x #s(literal 99229/100000 binary64)) (*.f64 x (*.f64 x #s(literal 4481/100000 binary64)))))))) |
(/.f64 (neg.f64 (*.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))))) (neg.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal -444645149/10000000000 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 x (*.f64 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 (neg.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64)) x)) (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal -444645149/10000000000 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal -9846394441/10000000000 binary64)) x)) (fma.f64 x #s(literal -4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(/.f64 (fma.f64 #s(literal 977047873985989/1000000000000000 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64)) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x x) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 20079361/10000000000 binary64)) (*.f64 (*.f64 x #s(literal 99229/100000 binary64)) (*.f64 x (*.f64 x #s(literal 4481/100000 binary64))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 20079361/10000000000 binary64))) (-.f64 (*.f64 x #s(literal 99229/100000 binary64)) (*.f64 x (*.f64 x #s(literal 4481/100000 binary64))))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) |
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal -444645149/10000000000 binary64))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 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 (*.f64 x (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 #s(literal -20079361/10000000000 binary64) (*.f64 x x)))) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64))) x) (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal -444645149/10000000000 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal -9846394441/10000000000 binary64))) x) (fma.f64 x #s(literal -4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 #s(literal -20079361/10000000000 binary64) (*.f64 x x))) x) (+.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 (-.f64 #s(literal 0 binary64) 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 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (neg.f64 (-.f64 #s(literal 0 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 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal -444645149/10000000000 binary64)))) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 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 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal -9846394441/10000000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) x)) |
(*.f64 (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64)) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 977047873985989/1000000000000000 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64))) (*.f64 x x) (*.f64 (*.f64 x #s(literal 99229/100000 binary64)) (-.f64 (*.f64 x #s(literal 99229/100000 binary64)) (*.f64 x (*.f64 x #s(literal 4481/100000 binary64)))))))) |
(*.f64 (*.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 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))))) |
(*.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal -444645149/10000000000 binary64))))) |
(*.f64 (*.f64 x (fma.f64 x (*.f64 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)))) |
(*.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal -444645149/10000000000 binary64))))) |
(*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal -9846394441/10000000000 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)))) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
| 1× | egg-herbie |
| 10 154× | accelerator-lowering-fma.f32 |
| 10 154× | accelerator-lowering-fma.f64 |
| 4 358× | *-lowering-*.f32 |
| 4 358× | *-lowering-*.f64 |
| 1 468× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 125 | 454 |
| 1 | 345 | 446 |
| 2 | 785 | 442 |
| 3 | 1831 | 406 |
| 4 | 6830 | 406 |
| 0 | 8583 | 367 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ 230753/99229 x) |
(/ (+ 230753/99229 (* 1651231776/9846394441 x)) x) |
(/ (+ 230753/99229 (* x (+ 1651231776/9846394441 (* -984447043574245/977047873985989 x)))) x) |
(/ (+ 230753/99229 (* x (+ 1651231776/9846394441 (* x (- (* 33155678924975136/96951483487755702481 x) 984447043574245/977047873985989))))) x) |
(* -1 x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 163850077900704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(* -1 x) |
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 163850077900704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(/ 230753/99229 x) |
(/ (+ 230753/99229 (* 1651231776/9846394441 x)) x) |
(/ (+ 230753/99229 (* x (+ 1651231776/9846394441 (* -7399169588256/977047873985989 x)))) x) |
(/ (+ 230753/99229 (* x (+ 1651231776/9846394441 (* x (- (* 33155678924975136/96951483487755702481 x) 7399169588256/977047873985989))))) x) |
(/ 27061/4481 x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 163850077900704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 163850077900704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 16258679380008957216/403180738168321 (/ 1 (pow x 3))))) x) |
(/ 27061/4481 x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* 163850077900704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16258679380008957216/403180738168321 (/ 1 x)) 163850077900704/89975616641) 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)))) |
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)))) |
(* 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 |
|---|
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(/ 230753/99229 x) |
(/.f64 #s(literal 230753/99229 binary64) x) |
(/ (+ 230753/99229 (* 1651231776/9846394441 x)) x) |
(/.f64 (fma.f64 x #s(literal 1651231776/9846394441 binary64) #s(literal 230753/99229 binary64)) x) |
(/ (+ 230753/99229 (* x (+ 1651231776/9846394441 (* -984447043574245/977047873985989 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -984447043574245/977047873985989 binary64) #s(literal 1651231776/9846394441 binary64)) #s(literal 230753/99229 binary64)) x) |
(/ (+ 230753/99229 (* x (+ 1651231776/9846394441 (* x (- (* 33155678924975136/96951483487755702481 x) 984447043574245/977047873985989))))) x) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 33155678924975136/96951483487755702481 binary64) #s(literal -984447043574245/977047873985989 binary64)) #s(literal 1651231776/9846394441 binary64)) #s(literal 230753/99229 binary64)) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)) |
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x) |
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 163850077900704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 163850077900704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) |
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x) |
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 163850077900704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 163850077900704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x) |
(/ 230753/99229 x) |
(/.f64 #s(literal 230753/99229 binary64) x) |
(/ (+ 230753/99229 (* 1651231776/9846394441 x)) x) |
(/.f64 (fma.f64 x #s(literal 1651231776/9846394441 binary64) #s(literal 230753/99229 binary64)) x) |
(/ (+ 230753/99229 (* x (+ 1651231776/9846394441 (* -7399169588256/977047873985989 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -7399169588256/977047873985989 binary64) #s(literal 1651231776/9846394441 binary64)) #s(literal 230753/99229 binary64)) x) |
(/ (+ 230753/99229 (* x (+ 1651231776/9846394441 (* x (- (* 33155678924975136/96951483487755702481 x) 7399169588256/977047873985989))))) x) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 33155678924975136/96951483487755702481 binary64) #s(literal -7399169588256/977047873985989 binary64)) #s(literal 1651231776/9846394441 binary64)) #s(literal 230753/99229 binary64)) x) |
(/ 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 (/ 163850077900704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 163850077900704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) |
(/ (- (+ 27061/4481 (/ 163850077900704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 16258679380008957216/403180738168321 (/ 1 (pow x 3))))) x) |
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16258679380008957216/403180738168321 binary64) x) #s(literal -163850077900704/89975616641 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 (/ (- (* 163850077900704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 163850077900704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16258679380008957216/403180738168321 (/ 1 x)) 163850077900704/89975616641) 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 16258679380008957216/403180738168321 binary64) x) #s(literal -163850077900704/89975616641 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)) |
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)) |
(* 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))) |
Compiled 17 319 to 1 821 computations (89.5% saved)
11 alts after pruning (1 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 599 | 1 | 600 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 8 | 8 |
| Total | 599 | 11 | 610 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 54.3% | (fma.f64 (*.f64 x x) #s(literal 1900161040244073/1000000000000000 binary64) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) |
| ✓ | 54.3% | (fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
| ✓ | 60.6% | (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
| ✓ | 47.7% | (-.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) x) |
| ✓ | 100.0% | (-.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) |
| ✓ | 49.0% | (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) x) |
| 55.6% | (-.f64 (/.f64 (*.f64 x #s(literal 27061/100000 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) x) | |
| ✓ | 48.8% | (-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) |
| ✓ | 98.1% | (-.f64 #s(literal 230753/100000 binary64) x) |
| ✓ | 48.8% | (neg.f64 x) |
| ✓ | 53.4% | #s(literal 230753/100000 binary64) |
Compiled 201 to 111 computations (44.8% saved)
| Inputs |
|---|
#s(literal 230753/100000 binary64) |
(neg.f64 x) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 #s(literal 230753/100000 binary64) x) |
(fma.f64 x #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)) |
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) |
(fma.f64 (*.f64 x x) #s(literal 1900161040244073/1000000000000000 binary64) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) |
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) x) |
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x) |
(-.f64 (/.f64 (*.f64 x #s(literal 27061/100000 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) x) |
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) x) |
(-.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 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) |
| Outputs |
|---|
(-.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) |
2 calls:
| 4.0ms | x |
| 4.0ms | (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.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 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
#s(literal 230753/100000 binary64) |
(neg.f64 x) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 #s(literal 230753/100000 binary64) x) |
(fma.f64 x #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)) |
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) |
(fma.f64 (*.f64 x x) #s(literal 1900161040244073/1000000000000000 binary64) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) |
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) x) |
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x) |
(-.f64 (/.f64 (*.f64 x #s(literal 27061/100000 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) x) |
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) x) |
| Outputs |
|---|
(-.f64 #s(literal 230753/100000 binary64) x) |
2 calls:
| 42.0ms | x |
| 4.0ms | (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 1 | x |
| 98.1% | 1 | (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
#s(literal 230753/100000 binary64) |
(neg.f64 x) |
(-.f64 #s(literal 0 binary64) x) |
| Outputs |
|---|
(neg.f64 x) |
#s(literal 230753/100000 binary64) |
(neg.f64 x) |
2 calls:
| 2.0ms | x |
| 2.0ms | (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 3 | x |
| 98.7% | 3 | (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.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(literal 230753/100000 binary64) |
| Outputs |
|---|
#s(literal 230753/100000 binary64) |
2 calls:
| 1.0ms | (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.4% | 1 | x |
| 53.4% | 1 | (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) |
Compiled 20 to 15 computations (25% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.3075300000006247 | 375.2036213065766 |
| 0.0ms | -24.52586116652953 | 2.307522599767242 |
Compiled 21 to 18 computations (14.3% saved)
| 1× | egg-herbie |
| 14× | +-commutative_binary64 |
| 8× | *-commutative_binary64 |
| 8× | sub-neg_binary64 |
| 2× | 1-exp_binary64 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 62 |
| 1 | 45 | 62 |
| 2 | 50 | 62 |
| 3 | 51 | 62 |
| 1× | saturated |
| Inputs |
|---|
(-.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 #s(literal 230753/100000 binary64) x) |
(if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal -20 binary64)) (neg.f64 x) (if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal 4 binary64)) #s(literal 230753/100000 binary64) (neg.f64 x))) |
#s(literal 230753/100000 binary64) |
| Outputs |
|---|
(-.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 #s(literal 230753/100000 binary64) x) |
(if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal -20 binary64)) (neg.f64 x) (if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal 4 binary64)) #s(literal 230753/100000 binary64) (neg.f64 x))) |
(if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal -20 binary64)) (-.f64 #s(literal 0 binary64) x) (if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal 4 binary64)) #s(literal 230753/100000 binary64) (-.f64 #s(literal 0 binary64) x))) |
#s(literal 230753/100000 binary64) |
| 10 760× | accelerator-lowering-fma.f32 |
| 10 760× | accelerator-lowering-fma.f64 |
| 7 866× | accelerator-lowering-fma.f32 |
| 7 866× | accelerator-lowering-fma.f64 |
| 5 638× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 54 |
| 1 | 124 | 52 |
| 2 | 1238 | 52 |
| 0 | 9296 | 46 |
| 0 | 122 | 592 |
| 1 | 337 | 584 |
| 2 | 799 | 558 |
| 3 | 1945 | 522 |
| 4 | 6969 | 522 |
| 0 | 8157 | 468 |
| 0 | 14 | 64 |
| 1 | 90 | 64 |
| 2 | 799 | 64 |
| 0 | 8379 | 53 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 96 to 51 computations (46.9% saved)
Compiled 168 to 84 computations (50% saved)
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