
Time bar (total: 9.5s)
| 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)
| 1.7s | 8 256× | 0 | valid |
const: 621.0ms (44.2% of total)ival-add: 314.0ms (22.4% of total)ival-mult: 288.0ms (20.5% of total)ival-div: 122.0ms (8.7% of total)ival-sub: 45.0ms (3.2% of total)ival-true: 6.0ms (0.4% of total)exact: 5.0ms (0.4% of total)ival-assert: 3.0ms (0.2% of total)| 2× | egg-herbie |
| 1 400× | accelerator-lowering-fma.f32 |
| 1 400× | accelerator-lowering-fma.f64 |
| 618× | distribute-rgt-in |
| 584× | *-lowering-*.f32 |
| 584× | *-lowering-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 60 |
| 1 | 51 | 54 |
| 2 | 128 | 52 |
| 3 | 354 | 51 |
| 4 | 897 | 51 |
| 5 | 1659 | 51 |
| 6 | 2327 | 51 |
| 7 | 3408 | 51 |
| 8 | 3803 | 51 |
| 9 | 3928 | 51 |
| 10 | 3951 | 51 |
| 11 | 3962 | 51 |
| 12 | 4002 | 51 |
| 13 | 4425 | 51 |
| 0 | 14 | 17 |
| 1 | 24 | 17 |
| 2 | 40 | 17 |
| 3 | 84 | 17 |
| 4 | 182 | 17 |
| 5 | 363 | 17 |
| 6 | 615 | 17 |
| 7 | 991 | 17 |
| 8 | 1575 | 17 |
| 9 | 2080 | 17 |
| 10 | 2239 | 17 |
| 11 | 2295 | 17 |
| 12 | 2328 | 17 |
| 13 | 2331 | 17 |
| 14 | 2331 | 17 |
| 0 | 2331 | 14 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) |
| Outputs |
|---|
(- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) 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)))) |
| Inputs |
|---|
(- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) |
(- (neg x) (/ (+ 230753/100000 (* (neg x) 27061/100000)) (+ 1 (* (+ 99229/100000 (* (neg x) 4481/100000)) (neg x))))) |
(neg (- (neg x) (/ (+ 230753/100000 (* (neg x) 27061/100000)) (+ 1 (* (+ 99229/100000 (* (neg x) 4481/100000)) (neg x)))))) |
| Outputs |
|---|
(- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) |
(+ x (/ (+ 230753/100000 (* x 27061/100000)) (+ -1 (* x (+ (* x -4481/100000) -99229/100000))))) |
(- (neg x) (/ (+ 230753/100000 (* (neg x) 27061/100000)) (+ 1 (* (+ 99229/100000 (* (neg x) 4481/100000)) (neg x))))) |
(- (/ (+ 230753/100000 (* x -27061/100000)) (+ -1 (* x (+ 99229/100000 (* x -4481/100000))))) x) |
(neg (- (neg x) (/ (+ 230753/100000 (* (neg x) 27061/100000)) (+ 1 (* (+ 99229/100000 (* (neg x) 4481/100000)) (neg x)))))) |
(+ x (/ (+ 230753/100000 (* x -27061/100000)) (+ 1 (* x (+ (* x 4481/100000) -99229/100000))))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 64 | 0 | - | 0 | - | (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))) |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 4481/100000 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 99229/100000 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 27061/100000 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 27061/100000 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 4481/100000 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 230753/100000 binary64) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x) |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 84.0ms | 512× | 0 | valid |
Compiled 180 to 60 computations (66.7% saved)
const: 42.0ms (64.6% of total)ival-mult: 9.0ms (13.8% of total)ival-add: 7.0ms (10.8% of total)ival-div: 3.0ms (4.6% of total)ival-sub: 2.0ms (3.1% 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 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
Compiled 18 to 14 computations (22.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
| ✓ | cost-diff | 192 | (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) |
| ✓ | cost-diff | 192 | (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)) |
| ✓ | 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 |
| 344× | cancel-sign-sub-inv |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 70 |
| 1 | 24 | 70 |
| 2 | 40 | 70 |
| 3 | 84 | 70 |
| 4 | 182 | 70 |
| 5 | 363 | 70 |
| 6 | 615 | 70 |
| 7 | 991 | 70 |
| 8 | 1575 | 70 |
| 9 | 2080 | 70 |
| 10 | 2239 | 70 |
| 11 | 2295 | 70 |
| 12 | 2328 | 70 |
| 13 | 2331 | 70 |
| 14 | 2331 | 70 |
| 0 | 2331 | 59 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) |
x |
(/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) |
(+ 230753/100000 (* x 27061/100000)) |
230753/100000 |
(* x 27061/100000) |
27061/100000 |
(+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)) |
1 |
(* (+ 99229/100000 (* x 4481/100000)) x) |
(+ 99229/100000 (* x 4481/100000)) |
99229/100000 |
(* x 4481/100000) |
4481/100000 |
| Outputs |
|---|
(- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) |
(+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal -1 binary64)))) |
x |
(/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) 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))) |
(+ 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)) |
27061/100000 |
#s(literal 27061/100000 binary64) |
(+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)) |
(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) |
(* (+ 99229/100000 (* x 4481/100000)) x) |
(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 | 99.8% | (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 4481/100000 binary64)) |
| ✓ | accuracy | 99.4% | (*.f64 x #s(literal 27061/100000 binary64)) |
| ✓ | accuracy | 76.6% | (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))) |
| 70.0ms | 256× | 0 | valid |
Compiled 72 to 16 computations (77.8% saved)
const: 45.0ms (80.5% of total)ival-mult: 5.0ms (8.9% of total)ival-add: 3.0ms (5.4% of total)ival-div: 2.0ms (3.6% of total)ival-sub: 1.0ms (1.8% 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 (* (+ 99229/100000 (* x 4481/100000)) x))> |
#<alt (+ 99229/100000 (* x 4481/100000))> |
#<alt (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))))> |
#<alt (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))> |
#<alt (* x 27061/100000)> |
#<alt (* x 4481/100000)> |
#<alt (* (+ 99229/100000 (* x 4481/100000)) x)> |
| Outputs |
|---|
#<alt 230753/100000> |
#<alt (+ 230753/100000 (* 27061/100000 x))> |
#<alt (+ 230753/100000 (* 27061/100000 x))> |
#<alt (+ 230753/100000 (* 27061/100000 x))> |
#<alt (* 27061/100000 x)> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* 27061/100000 x)> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt 1> |
#<alt (+ 1 (* 99229/100000 x))> |
#<alt (+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))> |
#<alt (+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))> |
#<alt (* 4481/100000 (pow x 2))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* 4481/100000 (pow x 2))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt 99229/100000> |
#<alt (+ 99229/100000 (* 4481/100000 x))> |
#<alt (+ 99229/100000 (* 4481/100000 x))> |
#<alt (+ 99229/100000 (* 4481/100000 x))> |
#<alt (* 4481/100000 x)> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* 4481/100000 x)> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt -230753/100000> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)> |
#<alt x> |
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))> |
#<alt 230753/100000> |
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))> |
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))> |
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))> |
#<alt (/ 27061/4481 x)> |
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)> |
#<alt (/ 27061/4481 x)> |
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))> |
#<alt (* 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 (* 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 (* 99229/100000 x)> |
#<alt (* x (+ 99229/100000 (* 4481/100000 x)))> |
#<alt (* x (+ 99229/100000 (* 4481/100000 x)))> |
#<alt (* x (+ 99229/100000 (* 4481/100000 x)))> |
#<alt (* 4481/100000 (pow x 2))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* 4481/100000 (pow x 2))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) |
| 0.0ms | x | @ | -inf | (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)) |
| 0.0ms | x | @ | inf | (+ 230753/100000 (* x 27061/100000)) |
| 0.0ms | x | @ | inf | (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) |
| 0.0ms | x | @ | inf | (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)) |
| 1× | batch-egg-rewrite |
| 6 906× | accelerator-lowering-fma.f32 |
| 6 906× | accelerator-lowering-fma.f64 |
| 5 346× | *-lowering-*.f32 |
| 5 346× | *-lowering-*.f64 |
| 4 052× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 64 |
| 1 | 84 | 64 |
| 2 | 730 | 64 |
| 0 | 8408 | 53 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 230753/100000 (* x 27061/100000)) |
(+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)) |
(+ 99229/100000 (* x 4481/100000)) |
(- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) |
(/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) |
(* x 27061/100000) |
(* x 4481/100000) |
(* (+ 99229/100000 (* x 4481/100000)) x) |
| Outputs |
|---|
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) |
(+.f64 #s(literal 230753/100000 binary64) (neg.f64 (*.f64 x #s(literal -27061/100000 binary64)))) |
(+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 27061/100000 binary64)))) |
(+.f64 #s(literal 230753/100000 binary64) (*.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) |
(+.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))))) |
(+.f64 (neg.f64 (*.f64 x #s(literal -27061/100000 binary64))) #s(literal 230753/100000 binary64)) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 27061/100000 binary64))) #s(literal 230753/100000 binary64)) |
(+.f64 (*.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 1 binary64)) #s(literal 230753/100000 binary64)) |
(-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64))) |
(-.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))))) |
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(/.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) (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 0 binary64) (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64))))) x) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x 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 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64))) #s(literal 1 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64))) |
(/.f64 (*.f64 (*.f64 x (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64)) x) #s(literal 1 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64))) |
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64)))) x) #s(literal 1 binary64)) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(*.f64 x (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) |
(*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) x) |
(*.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64))) x)) |
(*.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) x)) |
(*.f64 (*.f64 x (fma.f64 x (*.f64 (*.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 x (*.f64 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 x (*.f64 (*.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 x (*.f64 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 |
| 9 368× | accelerator-lowering-fma.f32 |
| 9 368× | accelerator-lowering-fma.f64 |
| 2 950× | *-lowering-*.f32 |
| 2 950× | *-lowering-*.f64 |
| 1 702× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 128 | 590 |
| 1 | 360 | 582 |
| 2 | 869 | 556 |
| 3 | 2171 | 520 |
| 4 | 6808 | 520 |
| 0 | 8193 | 466 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
230753/100000 |
(+ 230753/100000 (* 27061/100000 x)) |
(+ 230753/100000 (* 27061/100000 x)) |
(+ 230753/100000 (* 27061/100000 x)) |
(* 27061/100000 x) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* 27061/100000 x) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
1 |
(+ 1 (* 99229/100000 x)) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(* 4481/100000 (pow x 2)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(* 4481/100000 (pow x 2)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
99229/100000 |
(+ 99229/100000 (* 4481/100000 x)) |
(+ 99229/100000 (* 4481/100000 x)) |
(+ 99229/100000 (* 4481/100000 x)) |
(* 4481/100000 x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* 4481/100000 x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
230753/100000 |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(/ 27061/4481 x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) |
(/ 27061/4481 x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) |
(* 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) |
(* 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) |
(* 99229/100000 x) |
(* x (+ 99229/100000 (* 4481/100000 x))) |
(* x (+ 99229/100000 (* 4481/100000 x))) |
(* x (+ 99229/100000 (* 4481/100000 x))) |
(* 4481/100000 (pow x 2)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* 4481/100000 (pow x 2)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
| Outputs |
|---|
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* 27061/100000 x)) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* 27061/100000 x)) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* 27061/100000 x)) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 99229/100000 x)) |
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(* 4481/100000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(* 4481/100000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
99229/100000 |
#s(literal 99229/100000 binary64) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x)) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
(+.f64 x (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x) #s(literal -27061/4481 binary64)) x)) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x)) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
(+.f64 x (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x) #s(literal -27061/4481 binary64)) x)) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) |
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 (+.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal -151724043800704/89975616641 binary64)) x)) x)) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 (+.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal -151724043800704/89975616641 binary64)) x)) x)) x) |
(* 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) |
(* 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)) |
(* 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 18 145 to 2 016 computations (88.9% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 554 | 13 | 567 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 555 | 13 | 568 |
| Status | Accuracy | Program |
|---|---|---|
| 73.9% | (fma.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal -1 binary64)))) x) | |
| 45.6% | (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)) | |
| 44.1% | (fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) | |
| ▶ | 52.0% | (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
| 52.0% | (-.f64 x (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) | |
| ▶ | 100.0% | (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
| ▶ | 57.3% | (-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) |
| 98.2% | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) | |
| 98.2% | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))) | |
| ▶ | 58.3% | (-.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) |
| 97.6% | (-.f64 x #s(literal 230753/100000 binary64)) | |
| 58.2% | x | |
| ▶ | 43.4% | #s(literal -230753/100000 binary64) |
Compiled 248 to 184 computations (25.8% 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 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 27061/4481 binary64) x) |
| ✓ | cost-diff | 0 | (-.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
| 2 112× | accelerator-lowering-fma.f32 |
| 2 112× | accelerator-lowering-fma.f64 |
| 880× | *-lowering-*.f32 |
| 880× | *-lowering-*.f64 |
| 456× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 103 |
| 1 | 49 | 103 |
| 2 | 88 | 103 |
| 3 | 136 | 103 |
| 4 | 262 | 103 |
| 5 | 492 | 103 |
| 6 | 901 | 103 |
| 7 | 1456 | 103 |
| 8 | 2362 | 103 |
| 9 | 2958 | 103 |
| 10 | 3078 | 103 |
| 11 | 3158 | 103 |
| 12 | 3190 | 103 |
| 13 | 3196 | 103 |
| 14 | 3198 | 103 |
| 0 | 3198 | 92 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- x (/ (+ (* 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) |
27061/100000 |
230753/100000 |
(+ (* x (+ (* x 4481/100000) 99229/100000)) 1) |
(+ (* x 4481/100000) 99229/100000) |
4481/100000 |
99229/100000 |
1 |
-230753/100000 |
(+ (* x 30191289437/10000000000) -230753/100000) |
x |
30191289437/10000000000 |
-230753/100000 |
(- x (/ 27061/4481 x)) |
x |
(/ 27061/4481 x) |
27061/4481 |
(- x (/ (+ 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 |
| Outputs |
|---|
(- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))) |
(+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal -1 binary64)))) |
x |
(/ (+ (* 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)) |
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) |
(+ (* 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) |
(- x (/ 27061/4481 x)) |
(+.f64 x (/.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 (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x)) |
(-.f64 x (/.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) |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) |
| ✓ | accuracy | 99.6% | (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal -1651231776/20079361 binary64) x) |
| ✓ | accuracy | 100.0% | (-.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 27061/4481 binary64) x) |
| ✓ | accuracy | 99.6% | (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
| ✓ | accuracy | 99.8% | (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.7% | (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
| ✓ | accuracy | 99.6% | (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
| ✓ | accuracy | 76.6% | (/.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))) |
| 95.0ms | 256× | 0 | valid |
Compiled 94 to 28 computations (70.2% saved)
ival-div: 32.0ms (41.5% of total)const: 24.0ms (31.1% of total)ival-mult: 8.0ms (10.4% of total)ival-sub: 7.0ms (9.1% of total)ival-add: 5.0ms (6.5% 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 (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)))> |
#<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 (+ (* x 30191289437/10000000000) -230753/100000)> |
#<alt (- x (/ 27061/4481 x))> |
#<alt (/ 27061/4481 x)> |
#<alt (- x (/ (+ 27061/4481 (/ -1651231776/20079361 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 (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)> |
#<alt x> |
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))> |
#<alt 230753/100000> |
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))> |
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))> |
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))> |
#<alt (/ 27061/4481 x)> |
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)> |
#<alt (/ 27061/4481 x)> |
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))> |
#<alt 230753/100000> |
#<alt (+ 230753/100000 (* 27061/100000 x))> |
#<alt (+ 230753/100000 (* 27061/100000 x))> |
#<alt (+ 230753/100000 (* 27061/100000 x))> |
#<alt (* 27061/100000 x)> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* 27061/100000 x)> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt 1> |
#<alt (+ 1 (* 99229/100000 x))> |
#<alt (+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))> |
#<alt (+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))> |
#<alt (* 4481/100000 (pow x 2))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* 4481/100000 (pow x 2))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt -230753/100000> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (* 30191289437/10000000000 x)> |
#<alt (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))> |
#<alt (* 30191289437/10000000000 x)> |
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))> |
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))> |
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))> |
#<alt (/ -27061/4481 x)> |
#<alt (/ (- (pow x 2) 27061/4481) x)> |
#<alt (/ (- (pow x 2) 27061/4481) x)> |
#<alt (/ (- (pow x 2) 27061/4481) x)> |
#<alt x> |
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))> |
#<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 (/ 1651231776/20079361 (pow x 2))> |
#<alt (/ (+ 1651231776/20079361 (* -27061/4481 x)) (pow x 2))> |
#<alt (/ (+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481))) (pow x 2))> |
#<alt (/ (+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481))) (pow x 2))> |
#<alt x> |
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))> |
#<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 | (- x (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x)) |
| 0.0ms | x | @ | 0 | (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x) |
| 0.0ms | x | @ | 0 | (/ 27061/4481 x) |
| 0.0ms | x | @ | 0 | (/ -1651231776/20079361 x) |
| 0.0ms | x | @ | -inf | (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x) |
| 1× | batch-egg-rewrite |
| 5 450× | /-lowering-/.f32 |
| 5 450× | /-lowering-/.f64 |
| 4 258× | accelerator-lowering-fma.f32 |
| 4 258× | accelerator-lowering-fma.f64 |
| 3 974× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 88 |
| 1 | 175 | 88 |
| 2 | 1531 | 88 |
| 0 | 8699 | 77 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 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)) |
(+ (* x 27061/100000) 230753/100000) |
(+ (* x (+ (* x 4481/100000) 99229/100000)) 1) |
(+ (* x 30191289437/10000000000) -230753/100000) |
(- x (/ 27061/4481 x)) |
(/ 27061/4481 x) |
(- x (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x)) |
(/ (+ 27061/4481 (/ -1651231776/20079361 x)) x) |
(+ 27061/4481 (/ -1651231776/20079361 x)) |
(/ -1651231776/20079361 x) |
(+ (* x 4481/100000) 99229/100000) |
| Outputs |
|---|
(+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 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 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 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)))) x) |
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (*.f64 x x))) (/.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))) (fma.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (*.f64 x x)))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))) (/.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 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 (/.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)) (-.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))))))) |
(fma.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) x) |
(fma.f64 (-.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))) x) |
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) |
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal 53246947009/10000000000 binary64)) (*.f64 x #s(literal 6244406933/10000000000 binary64)))) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) |
(fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.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))))) #s(literal 1 binary64))) (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) #s(literal 1 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) #s(literal -1 binary64))) (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal -1 binary64)))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (*.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 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 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 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 (*.f64 x x) (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))))) (fma.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))))) (fma.f64 x x (-.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (*.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 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 (-.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))) (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 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 -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))))) |
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(/.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 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)))) |
| 1× | egg-herbie |
| 9 374× | accelerator-lowering-fma.f32 |
| 9 374× | accelerator-lowering-fma.f64 |
| 2 890× | *-lowering-*.f32 |
| 2 890× | *-lowering-*.f64 |
| 2 110× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 151 | 896 |
| 1 | 407 | 888 |
| 2 | 976 | 798 |
| 3 | 2392 | 758 |
| 4 | 6987 | 758 |
| 0 | 8003 | 699 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
230753/100000 |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(/ 27061/4481 x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) |
(/ 27061/4481 x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) |
230753/100000 |
(+ 230753/100000 (* 27061/100000 x)) |
(+ 230753/100000 (* 27061/100000 x)) |
(+ 230753/100000 (* 27061/100000 x)) |
(* 27061/100000 x) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* 27061/100000 x) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
1 |
(+ 1 (* 99229/100000 x)) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(* 4481/100000 (pow x 2)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(* 4481/100000 (pow x 2)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(* 30191289437/10000000000 x) |
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(* 30191289437/10000000000 x) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) |
(/ -27061/4481 x) |
(/ (- (pow x 2) 27061/4481) x) |
(/ (- (pow x 2) 27061/4481) x) |
(/ (- (pow x 2) 27061/4481) x) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(/ 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) |
(/ 1651231776/20079361 (pow x 2)) |
(/ (+ 1651231776/20079361 (* -27061/4481 x)) (pow x 2)) |
(/ (+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481))) (pow x 2)) |
(/ (+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481))) (pow x 2)) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(/ -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) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 x #s(literal 27061/4481 binary64) (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64))) x) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 x #s(literal 27061/4481 binary64) (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64))) x) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.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) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(* 30191289437/10000000000 x) |
(*.f64 #s(literal 30191289437/10000000000 binary64) x) |
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(* 30191289437/10000000000 x) |
(*.f64 #s(literal 30191289437/10000000000 binary64) x) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(/ -27061/4481 x) |
(/.f64 #s(literal -27061/4481 binary64) x) |
(/ (- (pow x 2) 27061/4481) x) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(/ (- (pow x 2) 27061/4481) x) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(/ (- (pow x 2) 27061/4481) x) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(+.f64 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) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ 1651231776/20079361 (pow x 2)) |
(/.f64 #s(literal 1651231776/20079361 binary64) (*.f64 x x)) |
(/ (+ 1651231776/20079361 (* -27061/4481 x)) (pow x 2)) |
(/.f64 (fma.f64 x #s(literal -27061/4481 binary64) #s(literal 1651231776/20079361 binary64)) (*.f64 x x)) |
(/ (+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481))) (pow x 2)) |
(/.f64 (fma.f64 x (fma.f64 x x #s(literal -27061/4481 binary64)) #s(literal 1651231776/20079361 binary64)) (*.f64 x x)) |
(/ (+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481))) (pow x 2)) |
(/.f64 (fma.f64 x (fma.f64 x x #s(literal -27061/4481 binary64)) #s(literal 1651231776/20079361 binary64)) (*.f64 x x)) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) |
(/ -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 12 254 to 1 430 computations (88.3% saved)
13 alts after pruning (9 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 506 | 3 | 509 |
| Fresh | 2 | 6 | 8 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 509 | 13 | 522 |
| Status | Accuracy | Program |
|---|---|---|
| 73.9% | (fma.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal -1 binary64)))) x) | |
| ▶ | 45.6% | (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)) |
| 44.1% | (fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) | |
| ✓ | 52.0% | (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
| ▶ | 52.0% | (-.f64 x (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) |
| 57.3% | (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) | |
| ✓ | 100.0% | (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
| ▶ | 98.2% | (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) |
| ▶ | 58.5% | (-.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))))) |
| ✓ | 58.3% | (-.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) |
| 97.6% | (-.f64 x #s(literal 230753/100000 binary64)) | |
| ▶ | 58.2% | x |
| ✓ | 43.4% | #s(literal -230753/100000 binary64) |
Compiled 220 to 159 computations (27.7% saved)
| 1× | egg-herbie |
Found 13 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 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))))) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
| ✓ | cost-diff | 192 | (-.f64 x (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 x #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 #s(literal 99229/100000 binary64) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) |
| 10 758× | accelerator-lowering-fma.f32 |
| 10 758× | accelerator-lowering-fma.f64 |
| 2 888× | *-lowering-*.f32 |
| 2 888× | *-lowering-*.f64 |
| 1 956× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 137 |
| 1 | 75 | 137 |
| 2 | 164 | 135 |
| 3 | 298 | 135 |
| 4 | 557 | 135 |
| 5 | 1275 | 135 |
| 6 | 2753 | 131 |
| 7 | 5080 | 131 |
| 8 | 7497 | 131 |
| 0 | 8334 | 112 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x 99229/100000) 1))) |
x |
(/ (+ (* x 27061/100000) 230753/100000) (+ (* x 99229/100000) 1)) |
(+ (* x 27061/100000) 230753/100000) |
27061/100000 |
230753/100000 |
(+ (* x 99229/100000) 1) |
99229/100000 |
1 |
x |
(- x (+ (* x -20191289437/10000000000) 230753/100000)) |
x |
(+ (* x -20191289437/10000000000) 230753/100000) |
-20191289437/10000000000 |
230753/100000 |
(+ (* x (+ (* x (+ (* x 179503363065659419717/100000000000000000000) -1900161040244073/1000000000000000)) 30191289437/10000000000)) -230753/100000) |
x |
(+ (* x (+ (* x 179503363065659419717/100000000000000000000) -1900161040244073/1000000000000000)) 30191289437/10000000000) |
(+ (* x 179503363065659419717/100000000000000000000) -1900161040244073/1000000000000000) |
179503363065659419717/100000000000000000000 |
-1900161040244073/1000000000000000 |
30191289437/10000000000 |
-230753/100000 |
(- 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) |
27061/100000 |
230753/100000 |
(* x (+ (* x 4481/100000) 99229/100000)) |
(+ (* x 4481/100000) 99229/100000) |
4481/100000 |
99229/100000 |
| Outputs |
|---|
(- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x 99229/100000) 1))) |
(+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal -99229/100000 binary64) #s(literal -1 binary64)))) |
x |
(/ (+ (* x 27061/100000) 230753/100000) (+ (* x 99229/100000) 1)) |
(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #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)) |
27061/100000 |
#s(literal 27061/100000 binary64) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ (* x 99229/100000) 1) |
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) |
99229/100000 |
#s(literal 99229/100000 binary64) |
1 |
#s(literal 1 binary64) |
x |
(- x (+ (* x -20191289437/10000000000) 230753/100000)) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
x |
(+ (* x -20191289437/10000000000) 230753/100000) |
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
-20191289437/10000000000 |
#s(literal -20191289437/10000000000 binary64) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ (* x (+ (* x (+ (* x 179503363065659419717/100000000000000000000) -1900161040244073/1000000000000000)) 30191289437/10000000000)) -230753/100000) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
x |
(+ (* x (+ (* x 179503363065659419717/100000000000000000000) -1900161040244073/1000000000000000)) 30191289437/10000000000) |
(fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) |
(+ (* x 179503363065659419717/100000000000000000000) -1900161040244073/1000000000000000) |
(fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) |
179503363065659419717/100000000000000000000 |
#s(literal 179503363065659419717/100000000000000000000 binary64) |
-1900161040244073/1000000000000000 |
#s(literal -1900161040244073/1000000000000000 binary64) |
30191289437/10000000000 |
#s(literal 30191289437/10000000000 binary64) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- x (/ (+ (* x 27061/100000) 230753/100000) (* x (+ (* x 4481/100000) 99229/100000)))) |
(-.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 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)) |
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 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
| ✓ | accuracy | 99.7% | (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
| ✓ | accuracy | 99.6% | (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
| ✓ | accuracy | 76.3% | (/.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 | 99.9% | (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) |
| ✓ | accuracy | 99.8% | (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) |
| ✓ | accuracy | 99.9% | (-.f64 x (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) |
| ✓ | accuracy | 99.5% | (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.6% | (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
| 71.0ms | 256× | 0 | valid |
Compiled 118 to 33 computations (72% saved)
const: 27.0ms (48.6% of total)ival-mult: 12.0ms (21.6% of total)ival-add: 8.0ms (14.4% of total)ival-sub: 4.0ms (7.2% of total)ival-div: 3.0ms (5.4% 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 (/ (+ (* x 27061/100000) 230753/100000) (+ (* x 99229/100000) 1)))> |
#<alt (/ (+ (* x 27061/100000) 230753/100000) (+ (* x 99229/100000) 1))> |
#<alt (+ (* x 27061/100000) 230753/100000)> |
#<alt (+ (* x 99229/100000) 1)> |
#<alt (- x (+ (* x -20191289437/10000000000) 230753/100000))> |
#<alt (+ (* x -20191289437/10000000000) 230753/100000)> |
#<alt (+ (* x (+ (* x (+ (* x 179503363065659419717/100000000000000000000) -1900161040244073/1000000000000000)) 30191289437/10000000000)) -230753/100000)> |
#<alt (+ (* x (+ (* x 179503363065659419717/100000000000000000000) -1900161040244073/1000000000000000)) 30191289437/10000000000)> |
#<alt (+ (* x 179503363065659419717/100000000000000000000) -1900161040244073/1000000000000000)> |
#<alt (- x (/ (+ (* x 27061/100000) 230753/100000) (* x (+ (* x 4481/100000) 99229/100000))))> |
#<alt (/ (+ (* x 27061/100000) 230753/100000) (* x (+ (* x 4481/100000) 99229/100000)))> |
#<alt (+ (* x 4481/100000) 99229/100000)> |
#<alt (* x (+ (* x 4481/100000) 99229/100000))> |
| Outputs |
|---|
#<alt -230753/100000> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x))) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* x (- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000)))) 230753/100000)> |
#<alt x> |
#<alt (* x (- 1 (* 27061/99229 (/ 1 x))))> |
#<alt (* x (+ 1 (* -1 (/ (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) x))))> |
#<alt (* x (- (+ 1 (* 2019128943700000/977047873985989 (/ 1 (pow x 3)))) (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2)))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 27061/99229 (/ 1 x)) 1)))> |
#<alt (* -1 (* x (- (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- 20191289437/9846394441 (* 2019128943700000/977047873985989 (/ 1 x))) x)) 27061/99229) x)) 1)))> |
#<alt 230753/100000> |
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))> |
#<alt (+ 230753/100000 (* x (- (* 2003561459544073/1000000000000000 x) 20191289437/10000000000)))> |
#<alt (+ 230753/100000 (* x (- (* x (+ 2003561459544073/1000000000000000 (* -198811400069098819717/100000000000000000000 x))) 20191289437/10000000000)))> |
#<alt 27061/99229> |
#<alt (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))> |
#<alt (- (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) (/ 2019128943700000/977047873985989 (pow x 2)))> |
#<alt (- (+ 27061/99229 (+ (* 20191289437/9846394441 (/ 1 x)) (* 201912894370000000000/96951483487755702481 (/ 1 (pow x 3))))) (/ 2019128943700000/977047873985989 (pow x 2)))> |
#<alt 27061/99229> |
#<alt (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))> |
#<alt (+ 27061/99229 (* -1 (/ (- (* 2019128943700000/977047873985989 (/ 1 x)) 20191289437/9846394441) x)))> |
#<alt (+ 27061/99229 (* -1 (/ (- (* -1 (/ (- (* 201912894370000000000/96951483487755702481 (/ 1 x)) 2019128943700000/977047873985989) x)) 20191289437/9846394441) 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 (* 99229/100000 x))> |
#<alt (+ 1 (* 99229/100000 x))> |
#<alt (* 99229/100000 x)> |
#<alt (* x (+ 99229/100000 (/ 1 x)))> |
#<alt (* x (+ 99229/100000 (/ 1 x)))> |
#<alt (* x (+ 99229/100000 (/ 1 x)))> |
#<alt (* 99229/100000 x)> |
#<alt (* x (+ 99229/100000 (/ 1 x)))> |
#<alt (* x (+ 99229/100000 (/ 1 x)))> |
#<alt (* x (+ 99229/100000 (/ 1 x)))> |
#<alt -230753/100000> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (* 30191289437/10000000000 x)> |
#<alt (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))> |
#<alt (* 30191289437/10000000000 x)> |
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))> |
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))> |
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))> |
#<alt 230753/100000> |
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))> |
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))> |
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))> |
#<alt (* -20191289437/10000000000 x)> |
#<alt (* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000))> |
#<alt (* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000))> |
#<alt (* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000))> |
#<alt (* -20191289437/10000000000 x)> |
#<alt (* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x)))))> |
#<alt (* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x)))))> |
#<alt (* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x)))))> |
#<alt -230753/100000> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)> |
#<alt (* 179503363065659419717/100000000000000000000 (pow x 3))> |
#<alt (* (pow x 3) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (+ (* 1900161040244073/1000000000000000 (/ 1 x)) (* 230753/100000 (/ 1 (pow x 3))))))> |
#<alt (* 179503363065659419717/100000000000000000000 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000)))> |
#<alt 30191289437/10000000000> |
#<alt (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))> |
#<alt (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))> |
#<alt (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))> |
#<alt (* 179503363065659419717/100000000000000000000 (pow x 2))> |
#<alt (* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x))))> |
#<alt (* 179503363065659419717/100000000000000000000 (pow x 2))> |
#<alt (* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x))))> |
#<alt (* (pow x 2) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x))))> |
#<alt -1900161040244073/1000000000000000> |
#<alt (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)> |
#<alt (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)> |
#<alt (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)> |
#<alt (* 179503363065659419717/100000000000000000000 x)> |
#<alt (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))> |
#<alt (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))> |
#<alt (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))> |
#<alt (* 179503363065659419717/100000000000000000000 x)> |
#<alt (* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))> |
#<alt (* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))> |
#<alt (* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))> |
#<alt (/ -230753/99229 x)> |
#<alt (/ (- (* -1651231776/9846394441 x) 230753/99229) x)> |
#<alt (/ (- (* x (- (* 984447043574245/977047873985989 x) 1651231776/9846394441)) 230753/99229) x)> |
#<alt (/ (- (* x (- (* x (+ 984447043574245/977047873985989 (* -33155678924975136/96951483487755702481 x))) 1651231776/9846394441)) 230753/99229) x)> |
#<alt x> |
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 163850077900704/89975616641 (/ 1 (pow x 4))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 163850077900704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))> |
#<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 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))))> |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x 99229/100000) 1))) |
| 0.0ms | x | @ | -inf | (+ (* x (+ (* x (+ (* x 179503363065659419717/100000000000000000000) -1900161040244073/1000000000000000)) 30191289437/10000000000)) -230753/100000) |
| 0.0ms | x | @ | -inf | (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x 99229/100000) 1))) |
| 0.0ms | x | @ | inf | (+ (* x (+ (* x (+ (* x 179503363065659419717/100000000000000000000) -1900161040244073/1000000000000000)) 30191289437/10000000000)) -230753/100000) |
| 0.0ms | x | @ | 0 | (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x 99229/100000) 1))) |
| 1× | batch-egg-rewrite |
| 4 770× | /-lowering-/.f32 |
| 4 770× | /-lowering-/.f64 |
| 4 756× | *-lowering-*.f32 |
| 4 756× | *-lowering-*.f64 |
| 4 340× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 113 |
| 1 | 212 | 113 |
| 2 | 1899 | 113 |
| 0 | 9004 | 93 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x 99229/100000) 1))) |
(/ (+ (* x 27061/100000) 230753/100000) (+ (* x 99229/100000) 1)) |
(+ (* x 27061/100000) 230753/100000) |
(+ (* x 99229/100000) 1) |
(- x (+ (* x -20191289437/10000000000) 230753/100000)) |
(+ (* x -20191289437/10000000000) 230753/100000) |
(+ (* x (+ (* x (+ (* x 179503363065659419717/100000000000000000000) -1900161040244073/1000000000000000)) 30191289437/10000000000)) -230753/100000) |
(+ (* x (+ (* x 179503363065659419717/100000000000000000000) -1900161040244073/1000000000000000)) 30191289437/10000000000) |
(+ (* x 179503363065659419717/100000000000000000000) -1900161040244073/1000000000000000) |
(- x (/ (+ (* x 27061/100000) 230753/100000) (* x (+ (* x 4481/100000) 99229/100000)))) |
(/ (+ (* x 27061/100000) 230753/100000) (* x (+ (* x 4481/100000) 99229/100000))) |
(+ (* x 4481/100000) 99229/100000) |
(* x (+ (* x 4481/100000) 99229/100000)) |
| Outputs |
|---|
(+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))) |
(+.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) x) |
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #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 #s(literal 99229/100000 binary64) #s(literal 1 binary64))))))) (/.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.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 99229/100000 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))) (fma.f64 x x (*.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #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 #s(literal 99229/100000 binary64) #s(literal 1 binary64)))))))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))) (/.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (fma.f64 x #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 #s(literal 99229/100000 binary64) #s(literal 1 binary64)))))) |
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(/.f64 (neg.f64 (*.f64 x (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 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)) x)) (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 (*.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64)) x)) (neg.f64 (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 #s(literal 4481/100000 binary64))) (*.f64 x (*.f64 x #s(literal 4481/100000 binary64)))) (*.f64 (*.f64 x #s(literal 99229/100000 binary64)) (*.f64 x (*.f64 x #s(literal 4481/100000 binary64))))))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) x) |
| 1× | egg-herbie |
| 9 870× | accelerator-lowering-fma.f32 |
| 9 870× | accelerator-lowering-fma.f64 |
| 4 544× | *-lowering-*.f32 |
| 4 544× | *-lowering-*.f64 |
| 2 120× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 284 | 1079 |
| 1 | 815 | 1046 |
| 2 | 2054 | 1015 |
| 3 | 6354 | 1000 |
| 0 | 8373 | 888 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000)))) 230753/100000) |
x |
(* x (- 1 (* 27061/99229 (/ 1 x)))) |
(* x (+ 1 (* -1 (/ (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) x)))) |
(* x (- (+ 1 (* 2019128943700000/977047873985989 (/ 1 (pow x 3)))) (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2))))) |
x |
(* -1 (* x (- (* 27061/99229 (/ 1 x)) 1))) |
(* -1 (* x (- (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2))) 1))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- 20191289437/9846394441 (* 2019128943700000/977047873985989 (/ 1 x))) x)) 27061/99229) x)) 1))) |
230753/100000 |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 2003561459544073/1000000000000000 x) 20191289437/10000000000))) |
(+ 230753/100000 (* x (- (* x (+ 2003561459544073/1000000000000000 (* -198811400069098819717/100000000000000000000 x))) 20191289437/10000000000))) |
27061/99229 |
(+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) |
(- (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) (/ 2019128943700000/977047873985989 (pow x 2))) |
(- (+ 27061/99229 (+ (* 20191289437/9846394441 (/ 1 x)) (* 201912894370000000000/96951483487755702481 (/ 1 (pow x 3))))) (/ 2019128943700000/977047873985989 (pow x 2))) |
27061/99229 |
(+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) |
(+ 27061/99229 (* -1 (/ (- (* 2019128943700000/977047873985989 (/ 1 x)) 20191289437/9846394441) x))) |
(+ 27061/99229 (* -1 (/ (- (* -1 (/ (- (* 201912894370000000000/96951483487755702481 (/ 1 x)) 2019128943700000/977047873985989) x)) 20191289437/9846394441) 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 (* 99229/100000 x)) |
(+ 1 (* 99229/100000 x)) |
(* 99229/100000 x) |
(* x (+ 99229/100000 (/ 1 x))) |
(* x (+ 99229/100000 (/ 1 x))) |
(* x (+ 99229/100000 (/ 1 x))) |
(* 99229/100000 x) |
(* x (+ 99229/100000 (/ 1 x))) |
(* x (+ 99229/100000 (/ 1 x))) |
(* x (+ 99229/100000 (/ 1 x))) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(* 30191289437/10000000000 x) |
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(* 30191289437/10000000000 x) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) |
230753/100000 |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(* -20191289437/10000000000 x) |
(* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000)) |
(* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000)) |
(* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000)) |
(* -20191289437/10000000000 x) |
(* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x))))) |
(* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x))))) |
(* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x))))) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
(* 179503363065659419717/100000000000000000000 (pow x 3)) |
(* (pow x 3) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (+ (* 1900161040244073/1000000000000000 (/ 1 x)) (* 230753/100000 (/ 1 (pow x 3)))))) |
(* 179503363065659419717/100000000000000000000 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000))) |
30191289437/10000000000 |
(+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)) |
(+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000))) |
(+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000))) |
(* 179503363065659419717/100000000000000000000 (pow x 2)) |
(* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(* (pow x 2) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(* (pow x 2) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(* 179503363065659419717/100000000000000000000 (pow x 2)) |
(* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(* (pow x 2) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x)))) |
(* (pow x 2) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x)))) |
-1900161040244073/1000000000000000 |
(- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) |
(- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) |
(- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) |
(* 179503363065659419717/100000000000000000000 x) |
(* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(* 179503363065659419717/100000000000000000000 x) |
(* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))) |
(* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))) |
(* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))) |
(/ -230753/99229 x) |
(/ (- (* -1651231776/9846394441 x) 230753/99229) x) |
(/ (- (* x (- (* 984447043574245/977047873985989 x) 1651231776/9846394441)) 230753/99229) x) |
(/ (- (* x (- (* x (+ 984447043574245/977047873985989 (* -33155678924975136/96951483487755702481 x))) 1651231776/9846394441)) 230753/99229) x) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 163850077900704/89975616641 (/ 1 (pow x 4)))))) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 163850077900704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
(/ 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)) |
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 |
|---|
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x))) 230753/100000) |
(fma.f64 x (fma.f64 x #s(literal -2003561459544073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000)))) 230753/100000) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64) #s(literal -2003561459544073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
x |
(* x (- 1 (* 27061/99229 (/ 1 x)))) |
(+.f64 x #s(literal -27061/99229 binary64)) |
(* x (+ 1 (* -1 (/ (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) x)))) |
(+.f64 x (+.f64 #s(literal -27061/99229 binary64) (/.f64 #s(literal -20191289437/9846394441 binary64) x))) |
(* x (- (+ 1 (* 2019128943700000/977047873985989 (/ 1 (pow x 3)))) (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2))))) |
(fma.f64 x (/.f64 (-.f64 #s(literal -27061/99229 binary64) (/.f64 (-.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 #s(literal 2019128943700000/977047873985989 binary64) x)) x)) x) x) |
x |
(* -1 (* x (- (* 27061/99229 (/ 1 x)) 1))) |
(+.f64 x #s(literal -27061/99229 binary64)) |
(* -1 (* x (- (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2))) 1))) |
(+.f64 x (fma.f64 x (/.f64 #s(literal -20191289437/9846394441 binary64) (*.f64 x x)) #s(literal -27061/99229 binary64))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- 20191289437/9846394441 (* 2019128943700000/977047873985989 (/ 1 x))) x)) 27061/99229) x)) 1))) |
(fma.f64 x (/.f64 (-.f64 #s(literal -27061/99229 binary64) (/.f64 (-.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 #s(literal 2019128943700000/977047873985989 binary64) x)) 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 (- (* 2003561459544073/1000000000000000 x) 20191289437/10000000000))) |
(fma.f64 x (fma.f64 x #s(literal 2003561459544073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* x (+ 2003561459544073/1000000000000000 (* -198811400069098819717/100000000000000000000 x))) 20191289437/10000000000))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64) #s(literal 2003561459544073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
27061/99229 |
#s(literal 27061/99229 binary64) |
(+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) |
(+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)) |
(- (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) (/ 2019128943700000/977047873985989 (pow x 2))) |
(+.f64 #s(literal 27061/99229 binary64) (/.f64 (-.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 #s(literal 2019128943700000/977047873985989 binary64) x)) x)) |
(- (+ 27061/99229 (+ (* 20191289437/9846394441 (/ 1 x)) (* 201912894370000000000/96951483487755702481 (/ 1 (pow x 3))))) (/ 2019128943700000/977047873985989 (pow x 2))) |
(+.f64 #s(literal 27061/99229 binary64) (/.f64 (+.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 (+.f64 (/.f64 #s(literal 201912894370000000000/96951483487755702481 binary64) x) #s(literal -2019128943700000/977047873985989 binary64)) x)) x)) |
27061/99229 |
#s(literal 27061/99229 binary64) |
(+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) |
(+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)) |
(+ 27061/99229 (* -1 (/ (- (* 2019128943700000/977047873985989 (/ 1 x)) 20191289437/9846394441) x))) |
(+.f64 #s(literal 27061/99229 binary64) (/.f64 (-.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 #s(literal 2019128943700000/977047873985989 binary64) x)) x)) |
(+ 27061/99229 (* -1 (/ (- (* -1 (/ (- (* 201912894370000000000/96951483487755702481 (/ 1 x)) 2019128943700000/977047873985989) x)) 20191289437/9846394441) x))) |
(+.f64 #s(literal 27061/99229 binary64) (/.f64 (+.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 (+.f64 (/.f64 #s(literal 201912894370000000000/96951483487755702481 binary64) x) #s(literal -2019128943700000/977047873985989 binary64)) x)) x)) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* 27061/100000 x)) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* 27061/100000 x)) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* 27061/100000 x)) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 99229/100000 x)) |
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) |
(+ 1 (* 99229/100000 x)) |
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) |
(+ 1 (* 99229/100000 x)) |
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) |
(* 99229/100000 x) |
(*.f64 x #s(literal 99229/100000 binary64)) |
(* x (+ 99229/100000 (/ 1 x))) |
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) |
(* x (+ 99229/100000 (/ 1 x))) |
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) |
(* x (+ 99229/100000 (/ 1 x))) |
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) |
(* 99229/100000 x) |
(*.f64 x #s(literal 99229/100000 binary64)) |
(* x (+ 99229/100000 (/ 1 x))) |
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) |
(* x (+ 99229/100000 (/ 1 x))) |
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) |
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(*.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 14 861 to 1 759 computations (88.2% saved)
18 alts after pruning (9 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 628 | 5 | 633 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 4 | 4 |
| Total | 628 | 18 | 646 |
| Status | Accuracy | Program |
|---|---|---|
| 73.9% | (fma.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal -1 binary64)))) x) | |
| ▶ | 45.5% | (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64) #s(literal -2003561459544073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
| ✓ | 45.6% | (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)) |
| ▶ | 44.1% | (fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
| ✓ | 52.0% | (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
| ✓ | 52.0% | (-.f64 x (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) |
| ▶ | 57.3% | (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) |
| ✓ | 100.0% | (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
| ✓ | 98.2% | (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) |
| ✓ | 58.5% | (-.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))))) |
| 57.9% | (-.f64 x (/.f64 (*.f64 x #s(literal 27061/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) | |
| ✓ | 58.3% | (-.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) |
| 58.2% | (-.f64 x (/.f64 #s(literal 230753/99229 binary64) x)) | |
| ▶ | 98.2% | (-.f64 x (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) |
| 97.6% | (-.f64 x #s(literal 230753/100000 binary64)) | |
| ▶ | 63.2% | (-.f64 x #s(literal 27061/99229 binary64)) |
| ✓ | 58.2% | x |
| ✓ | 43.4% | #s(literal -230753/100000 binary64) |
Compiled 256 to 186 computations (27.3% saved)
| 1× | egg-herbie |
Found 13 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 x (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64) #s(literal -2003561459544073/1000000000000000 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64) #s(literal -2003561459544073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64) #s(literal -2003561459544073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 x #s(literal 27061/99229 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 x (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) |
| 5 372× | accelerator-lowering-fma.f32 |
| 5 372× | accelerator-lowering-fma.f64 |
| 3 184× | *-lowering-*.f32 |
| 3 184× | *-lowering-*.f64 |
| 1 390× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 111 |
| 1 | 73 | 111 |
| 2 | 153 | 111 |
| 3 | 247 | 111 |
| 4 | 355 | 111 |
| 5 | 561 | 111 |
| 6 | 852 | 107 |
| 7 | 1822 | 107 |
| 8 | 3643 | 107 |
| 9 | 5307 | 107 |
| 10 | 6137 | 107 |
| 11 | 6576 | 107 |
| 12 | 6960 | 107 |
| 13 | 7385 | 107 |
| 14 | 7960 | 107 |
| 0 | 8092 | 94 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- x (/ 230753/100000 (+ (* x 99229/100000) 1))) |
x |
(/ 230753/100000 (+ (* x 99229/100000) 1)) |
230753/100000 |
(+ (* x 99229/100000) 1) |
99229/100000 |
1 |
(- x 27061/99229) |
x |
27061/99229 |
(+ (* x (+ (* x -1900161040244073/1000000000000000) 30191289437/10000000000)) -230753/100000) |
x |
(+ (* x -1900161040244073/1000000000000000) 30191289437/10000000000) |
-1900161040244073/1000000000000000 |
30191289437/10000000000 |
-230753/100000 |
(+ (* x (+ (* x (+ (* x 198811400069098819717/100000000000000000000) -2003561459544073/1000000000000000)) 30191289437/10000000000)) -230753/100000) |
x |
(+ (* x (+ (* x 198811400069098819717/100000000000000000000) -2003561459544073/1000000000000000)) 30191289437/10000000000) |
(+ (* x 198811400069098819717/100000000000000000000) -2003561459544073/1000000000000000) |
198811400069098819717/100000000000000000000 |
-2003561459544073/1000000000000000 |
30191289437/10000000000 |
-230753/100000 |
(- x (/ (+ (* x 27061/4481) -1651231776/20079361) (* x x))) |
x |
(/ (+ (* x 27061/4481) -1651231776/20079361) (* x x)) |
(+ (* x 27061/4481) -1651231776/20079361) |
27061/4481 |
-1651231776/20079361 |
(* x x) |
| Outputs |
|---|
(- x (/ 230753/100000 (+ (* x 99229/100000) 1))) |
(-.f64 x (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) |
x |
(/ 230753/100000 (+ (* x 99229/100000) 1)) |
(/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ (* x 99229/100000) 1) |
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) |
99229/100000 |
#s(literal 99229/100000 binary64) |
1 |
#s(literal 1 binary64) |
(- x 27061/99229) |
(+.f64 x #s(literal -27061/99229 binary64)) |
x |
27061/99229 |
#s(literal 27061/99229 binary64) |
(+ (* 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) |
(+ (* x (+ (* x (+ (* x 198811400069098819717/100000000000000000000) -2003561459544073/1000000000000000)) 30191289437/10000000000)) -230753/100000) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64) #s(literal -2003561459544073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
x |
(+ (* x (+ (* x 198811400069098819717/100000000000000000000) -2003561459544073/1000000000000000)) 30191289437/10000000000) |
(fma.f64 x (fma.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64) #s(literal -2003561459544073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) |
(+ (* x 198811400069098819717/100000000000000000000) -2003561459544073/1000000000000000) |
(fma.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64) #s(literal -2003561459544073/1000000000000000 binary64)) |
198811400069098819717/100000000000000000000 |
#s(literal 198811400069098819717/100000000000000000000 binary64) |
-2003561459544073/1000000000000000 |
#s(literal -2003561459544073/1000000000000000 binary64) |
30191289437/10000000000 |
#s(literal 30191289437/10000000000 binary64) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- x (/ (+ (* x 27061/4481) -1651231776/20079361) (* x x))) |
(+.f64 x (/.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)) |
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 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.7% | (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) |
| ✓ | accuracy | 76.1% | (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
| ✓ | accuracy | 99.9% | (fma.f64 x (fma.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64) #s(literal -2003561459544073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64) #s(literal -2003561459544073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
| ✓ | accuracy | 99.7% | (fma.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64) #s(literal -2003561459544073/1000000000000000 binary64)) |
| ✓ | accuracy | 99.8% | (fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
| ✓ | accuracy | 99.8% | (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 x #s(literal 27061/99229 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 x (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) |
| 80.0ms | 256× | 0 | valid |
Compiled 98 to 34 computations (65.3% saved)
const: 28.0ms (49.3% of total)ival-mult: 14.0ms (24.7% of total)ival-add: 7.0ms (12.3% of total)ival-div: 3.0ms (5.3% of total)ival-sub: 3.0ms (5.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- x (/ 230753/100000 (+ (* x 99229/100000) 1)))> |
#<alt (/ 230753/100000 (+ (* x 99229/100000) 1))> |
#<alt (+ (* x 99229/100000) 1)> |
#<alt (- x 27061/99229)> |
#<alt (+ (* x (+ (* x -1900161040244073/1000000000000000) 30191289437/10000000000)) -230753/100000)> |
#<alt (+ (* x -1900161040244073/1000000000000000) 30191289437/10000000000)> |
#<alt (+ (* x (+ (* x (+ (* x 198811400069098819717/100000000000000000000) -2003561459544073/1000000000000000)) 30191289437/10000000000)) -230753/100000)> |
#<alt (+ (* x (+ (* x 198811400069098819717/100000000000000000000) -2003561459544073/1000000000000000)) 30191289437/10000000000)> |
#<alt (+ (* x 198811400069098819717/100000000000000000000) -2003561459544073/1000000000000000)> |
#<alt (- x (/ (+ (* x 27061/4481) -1651231776/20079361) (* x x)))> |
#<alt (/ (+ (* x 27061/4481) -1651231776/20079361) (* x x))> |
#<alt (+ (* x 27061/4481) -1651231776/20079361)> |
#<alt (* x x)> |
| Outputs |
|---|
#<alt -230753/100000> |
#<alt (- (* 32897389437/10000000000 x) 230753/100000)> |
#<alt (- (* x (+ 32897389437/10000000000 (* -2272085056444073/1000000000000000 x))) 230753/100000)> |
#<alt (- (* x (+ 32897389437/10000000000 (* x (- (* 225456728065888919717/100000000000000000000 x) 2272085056444073/1000000000000000)))) 230753/100000)> |
#<alt x> |
#<alt (* x (- 1 (* 230753/99229 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 23075300000/9846394441 (pow x 3))) (* 230753/99229 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 23075300000/9846394441 (pow x 3))) (+ (* 230753/99229 (/ 1 (pow x 2))) (* 2307530000000000/977047873985989 (/ 1 (pow x 4))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 230753/99229 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 230753/99229 (/ 1 (pow x 2))) (+ 1 (/ 23075300000/9846394441 (pow x 3))))))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- 23075300000/9846394441 (* 2307530000000000/977047873985989 (/ 1 x))) (pow x 3))) (* 230753/99229 (/ 1 (pow x 2)))) 1)))> |
#<alt 230753/100000> |
#<alt (+ 230753/100000 (* -22897389437/10000000000 x))> |
#<alt (+ 230753/100000 (* x (- (* 2272085056444073/1000000000000000 x) 22897389437/10000000000)))> |
#<alt (+ 230753/100000 (* x (- (* x (+ 2272085056444073/1000000000000000 (* -225456728065888919717/100000000000000000000 x))) 22897389437/10000000000)))> |
#<alt (/ 230753/99229 x)> |
#<alt (/ (- 230753/99229 (* 23075300000/9846394441 (/ 1 x))) x)> |
#<alt (/ (- (+ 230753/99229 (/ 2307530000000000/977047873985989 (pow x 2))) (* 23075300000/9846394441 (/ 1 x))) x)> |
#<alt (/ (- (+ 230753/99229 (/ 2307530000000000/977047873985989 (pow x 2))) (+ (* 23075300000/9846394441 (/ 1 x)) (* 230753000000000000000/96951483487755702481 (/ 1 (pow x 3))))) x)> |
#<alt (/ 230753/99229 x)> |
#<alt (* -1 (/ (- (* 23075300000/9846394441 (/ 1 x)) 230753/99229) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 2307530000000000/977047873985989 (/ 1 x)) 23075300000/9846394441) x)) 230753/99229) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 230753000000000000000/96951483487755702481 (/ 1 x)) 2307530000000000/977047873985989) x)) 23075300000/9846394441) x)) 230753/99229) x))> |
#<alt 1> |
#<alt (+ 1 (* 99229/100000 x))> |
#<alt (+ 1 (* 99229/100000 x))> |
#<alt (+ 1 (* 99229/100000 x))> |
#<alt (* 99229/100000 x)> |
#<alt (* x (+ 99229/100000 (/ 1 x)))> |
#<alt (* x (+ 99229/100000 (/ 1 x)))> |
#<alt (* x (+ 99229/100000 (/ 1 x)))> |
#<alt (* 99229/100000 x)> |
#<alt (* x (+ 99229/100000 (/ 1 x)))> |
#<alt (* x (+ 99229/100000 (/ 1 x)))> |
#<alt (* x (+ 99229/100000 (/ 1 x)))> |
#<alt -27061/99229> |
#<alt (- x 27061/99229)> |
#<alt (- x 27061/99229)> |
#<alt (- x 27061/99229)> |
#<alt x> |
#<alt (* x (- 1 (* 27061/99229 (/ 1 x))))> |
#<alt (* x (- 1 (* 27061/99229 (/ 1 x))))> |
#<alt (* x (- 1 (* 27061/99229 (/ 1 x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 27061/99229 (/ 1 x)) 1)))> |
#<alt (* -1 (* x (- (* 27061/99229 (/ 1 x)) 1)))> |
#<alt (* -1 (* x (- (* 27061/99229 (/ 1 x)) 1)))> |
#<alt -230753/100000> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)> |
#<alt (* -1900161040244073/1000000000000000 (pow x 2))> |
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))> |
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2)))))> |
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2)))))> |
#<alt (* -1900161040244073/1000000000000000 (pow x 2))> |
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))> |
#<alt (* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000))> |
#<alt (* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000))> |
#<alt 30191289437/10000000000> |
#<alt (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))> |
#<alt (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))> |
#<alt (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))> |
#<alt (* -1900161040244073/1000000000000000 x)> |
#<alt (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))> |
#<alt (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))> |
#<alt (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))> |
#<alt (* -1900161040244073/1000000000000000 x)> |
#<alt (* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))))> |
#<alt -230753/100000> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x))) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* x (- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000)))) 230753/100000)> |
#<alt (* 198811400069098819717/100000000000000000000 (pow x 3))> |
#<alt (* (pow x 3) (- 198811400069098819717/100000000000000000000 (* 2003561459544073/1000000000000000 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 198811400069098819717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 2003561459544073/1000000000000000 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 198811400069098819717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (+ (* 2003561459544073/1000000000000000 (/ 1 x)) (* 230753/100000 (/ 1 (pow x 3))))))> |
#<alt (* 198811400069098819717/100000000000000000000 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 2003561459544073/1000000000000000 (/ 1 x)) 198811400069098819717/100000000000000000000)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000) x)) 198811400069098819717/100000000000000000000)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 2003561459544073/1000000000000000) x)) 198811400069098819717/100000000000000000000)))> |
#<alt 30191289437/10000000000> |
#<alt (+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x))> |
#<alt (+ 30191289437/10000000000 (* x (- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000)))> |
#<alt (+ 30191289437/10000000000 (* x (- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000)))> |
#<alt (* 198811400069098819717/100000000000000000000 (pow x 2))> |
#<alt (* (pow x 2) (- 198811400069098819717/100000000000000000000 (* 2003561459544073/1000000000000000 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 198811400069098819717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 2003561459544073/1000000000000000 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 198811400069098819717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 2003561459544073/1000000000000000 (/ 1 x))))> |
#<alt (* 198811400069098819717/100000000000000000000 (pow x 2))> |
#<alt (* (pow x 2) (- 198811400069098819717/100000000000000000000 (* 2003561459544073/1000000000000000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 198811400069098819717/100000000000000000000 (* -1 (/ (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x))))> |
#<alt (* (pow x 2) (+ 198811400069098819717/100000000000000000000 (* -1 (/ (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x))))> |
#<alt -2003561459544073/1000000000000000> |
#<alt (- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000)> |
#<alt (- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000)> |
#<alt (- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000)> |
#<alt (* 198811400069098819717/100000000000000000000 x)> |
#<alt (* x (- 198811400069098819717/100000000000000000000 (* 2003561459544073/1000000000000000 (/ 1 x))))> |
#<alt (* x (- 198811400069098819717/100000000000000000000 (* 2003561459544073/1000000000000000 (/ 1 x))))> |
#<alt (* x (- 198811400069098819717/100000000000000000000 (* 2003561459544073/1000000000000000 (/ 1 x))))> |
#<alt (* 198811400069098819717/100000000000000000000 x)> |
#<alt (* -1 (* x (- (* 2003561459544073/1000000000000000 (/ 1 x)) 198811400069098819717/100000000000000000000)))> |
#<alt (* -1 (* x (- (* 2003561459544073/1000000000000000 (/ 1 x)) 198811400069098819717/100000000000000000000)))> |
#<alt (* -1 (* x (- (* 2003561459544073/1000000000000000 (/ 1 x)) 198811400069098819717/100000000000000000000)))> |
#<alt (/ 1651231776/20079361 (pow x 2))> |
#<alt (/ (+ 1651231776/20079361 (* -27061/4481 x)) (pow x 2))> |
#<alt (/ (+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481))) (pow x 2))> |
#<alt (/ (+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481))) (pow x 2))> |
#<alt x> |
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))> |
#<alt (/ -1651231776/20079361 (pow x 2))> |
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))> |
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))> |
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))> |
#<alt (/ 27061/4481 x)> |
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ 27061/4481 x)> |
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))> |
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))> |
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))> |
#<alt -1651231776/20079361> |
#<alt (- (* 27061/4481 x) 1651231776/20079361)> |
#<alt (- (* 27061/4481 x) 1651231776/20079361)> |
#<alt (- (* 27061/4481 x) 1651231776/20079361)> |
#<alt (* 27061/4481 x)> |
#<alt (* x (- 27061/4481 (* 1651231776/20079361 (/ 1 x))))> |
#<alt (* x (- 27061/4481 (* 1651231776/20079361 (/ 1 x))))> |
#<alt (* x (- 27061/4481 (* 1651231776/20079361 (/ 1 x))))> |
#<alt (* 27061/4481 x)> |
#<alt (* -1 (* x (- (* 1651231776/20079361 (/ 1 x)) 27061/4481)))> |
#<alt (* -1 (* x (- (* 1651231776/20079361 (/ 1 x)) 27061/4481)))> |
#<alt (* -1 (* x (- (* 1651231776/20079361 (/ 1 x)) 27061/4481)))> |
#<alt (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)> |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (+ (* x 27061/4481) -1651231776/20079361) |
| 2.0ms | x | @ | inf | (/ 230753/100000 (+ (* x 99229/100000) 1)) |
| 0.0ms | x | @ | inf | (- x (/ 230753/100000 (+ (* x 99229/100000) 1))) |
| 0.0ms | x | @ | -inf | (+ (* x (+ (* x (+ (* x 198811400069098819717/100000000000000000000) -2003561459544073/1000000000000000)) 30191289437/10000000000)) -230753/100000) |
| 0.0ms | x | @ | inf | (+ (* x (+ (* x (+ (* x 198811400069098819717/100000000000000000000) -2003561459544073/1000000000000000)) 30191289437/10000000000)) -230753/100000) |
| 1× | batch-egg-rewrite |
| 4 784× | accelerator-lowering-fma.f32 |
| 4 784× | accelerator-lowering-fma.f64 |
| 4 356× | *-lowering-*.f32 |
| 4 356× | *-lowering-*.f64 |
| 4 352× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 93 |
| 1 | 211 | 93 |
| 2 | 1811 | 93 |
| 0 | 8794 | 78 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- x (/ 230753/100000 (+ (* x 99229/100000) 1))) |
(/ 230753/100000 (+ (* x 99229/100000) 1)) |
(+ (* x 99229/100000) 1) |
(- x 27061/99229) |
(+ (* x (+ (* x -1900161040244073/1000000000000000) 30191289437/10000000000)) -230753/100000) |
(+ (* x -1900161040244073/1000000000000000) 30191289437/10000000000) |
(+ (* x (+ (* x (+ (* x 198811400069098819717/100000000000000000000) -2003561459544073/1000000000000000)) 30191289437/10000000000)) -230753/100000) |
(+ (* x (+ (* x 198811400069098819717/100000000000000000000) -2003561459544073/1000000000000000)) 30191289437/10000000000) |
(+ (* x 198811400069098819717/100000000000000000000) -2003561459544073/1000000000000000) |
(- x (/ (+ (* x 27061/4481) -1651231776/20079361) (* x x))) |
(/ (+ (* x 27061/4481) -1651231776/20079361) (* x x)) |
(+ (* x 27061/4481) -1651231776/20079361) |
(* x x) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(literal -230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) |
(+.f64 (/.f64 #s(literal -230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) x) |
(-.f64 x (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) (+.f64 x (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) (*.f64 x x))) (/.f64 (/.f64 #s(literal 12286892763167777/1000000000000000 binary64) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))) (fma.f64 (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) (+.f64 x (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) (*.f64 x x)))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) (+.f64 x (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 #s(literal -230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) (-.f64 x (/.f64 #s(literal -230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))))) |
(fma.f64 #s(literal 230753/100000 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) x) |
(fma.f64 #s(literal -230753/100000 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) x) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) (+.f64 x (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 x (*.f64 x x) (/.f64 #s(literal -12286892763167777/1000000000000000 binary64) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) (-.f64 (*.f64 x x) (/.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))))) |
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal -12286892763167777/1000000000000000 binary64) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))))) (fma.f64 (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) (+.f64 x (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) (*.f64 x x))) |
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal -12286892763167777/1000000000000000 binary64) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))))) (fma.f64 x x (-.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) (*.f64 x (/.f64 #s(literal -230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (*.f64 x x) (/.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))) (+.f64 x (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 x x) (/.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))) (-.f64 x (/.f64 #s(literal -230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) (+.f64 x (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 x (*.f64 x x) (/.f64 #s(literal -12286892763167777/1000000000000000 binary64) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) (-.f64 (*.f64 x x) (/.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal -12286892763167777/1000000000000000 binary64) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))))) (neg.f64 (fma.f64 (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) (+.f64 x (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) (*.f64 x x)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal -12286892763167777/1000000000000000 binary64) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))))) (neg.f64 (fma.f64 x x (-.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) (*.f64 x (/.f64 #s(literal -230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))))) (neg.f64 (+.f64 x (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))))) (neg.f64 (-.f64 x (/.f64 #s(literal -230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) (+.f64 x (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) (*.f64 x x))) (*.f64 (fma.f64 (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) (+.f64 x (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) (*.f64 x x)) (/.f64 #s(literal 12286892763167777/1000000000000000 binary64) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))))) (*.f64 (fma.f64 (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) (+.f64 x (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) (+.f64 x (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))) (*.f64 (+.f64 x (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))))) (*.f64 (+.f64 x (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) (+.f64 x (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal -12286892763167777/1000000000000000 binary64) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) (+.f64 x (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) (*.f64 x x))))) |
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(/.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/89975616641 binary64) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal 2726566378072114176/403180738168321 binary64)) (*.f64 x #s(literal -44683983090336/89975616641 binary64))) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal -2726566378072114176/403180738168321 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64)) (*.f64 x x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) x))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/89975616641 binary64) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal 2726566378072114176/403180738168321 binary64)) (*.f64 x #s(literal -44683983090336/89975616641 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal -2726566378072114176/403180738168321 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64)))) |
(pow.f64 (/.f64 (*.f64 x x) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 x x) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) x)) |
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/89975616641 binary64) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal 2726566378072114176/403180738168321 binary64)) (*.f64 x #s(literal -44683983090336/89975616641 binary64))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal -2726566378072114176/403180738168321 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/89975616641 binary64) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal 2726566378072114176/403180738168321 binary64)) (*.f64 x #s(literal -44683983090336/89975616641 binary64)))) x)) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal -2726566378072114176/403180738168321 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (neg.f64 x))) |
(+.f64 (*.f64 x #s(literal 27061/4481 binary64)) #s(literal -1651231776/20079361 binary64)) |
(+.f64 #s(literal -1651231776/20079361 binary64) (*.f64 x #s(literal 27061/4481 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64)))) |
(-.f64 (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (-.f64 #s(literal -1651231776/20079361 binary64) (*.f64 x #s(literal 27061/4481 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64)) (-.f64 #s(literal -1651231776/20079361 binary64) (*.f64 x #s(literal 27061/4481 binary64))))) |
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) |
(fma.f64 #s(literal 27061/4481 binary64) x #s(literal -1651231776/20079361 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal 2726566378072114176/403180738168321 binary64)) (*.f64 x #s(literal -44683983090336/89975616641 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/89975616641 binary64) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64)) (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal -2726566378072114176/403180738168321 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/89975616641 binary64) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal 2726566378072114176/403180738168321 binary64)) (*.f64 x #s(literal -44683983090336/89975616641 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/89975616641 binary64) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64)) (+.f64 #s(literal 2726566378072114176/403180738168321 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64)) (*.f64 x #s(literal -44683983090336/89975616641 binary64))))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal -2726566378072114176/403180738168321 binary64)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal 2726566378072114176/403180738168321 binary64)) (*.f64 x #s(literal -44683983090336/89975616641 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/89975616641 binary64) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64)) (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal -2726566378072114176/403180738168321 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/89975616641 binary64) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal 2726566378072114176/403180738168321 binary64)) (*.f64 x #s(literal -44683983090336/89975616641 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/89975616641 binary64) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64))) (neg.f64 (+.f64 #s(literal 2726566378072114176/403180738168321 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64)) (*.f64 x #s(literal -44683983090336/89975616641 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal -2726566378072114176/403180738168321 binary64))) (neg.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64)))) |
(/.f64 (-.f64 #s(literal 2726566378072114176/403180738168321 binary64) (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64))) (-.f64 #s(literal -1651231776/20079361 binary64) (*.f64 x #s(literal 27061/4481 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) (*.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64)) #s(literal 2726566378072114176/403180738168321 binary64))) (*.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/89975616641 binary64) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal 2726566378072114176/403180738168321 binary64)) (*.f64 x #s(literal -44683983090336/89975616641 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal -2726566378072114176/403180738168321 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 2726566378072114176/403180738168321 binary64) (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64)))) (neg.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (*.f64 x #s(literal 27061/4481 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) (fma.f64 (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal 2726566378072114176/403180738168321 binary64)) (*.f64 x #s(literal -44683983090336/89975616641 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/89975616641 binary64) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64)) (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal -2726566378072114176/403180738168321 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/89975616641 binary64) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal 2726566378072114176/403180738168321 binary64)) (*.f64 x #s(literal -44683983090336/89975616641 binary64))))) |
(*.f64 (fma.f64 (*.f64 x x) #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)))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(*.f64 x x) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
| 1× | egg-herbie |
| 12 612× | accelerator-lowering-fma.f32 |
| 12 612× | accelerator-lowering-fma.f64 |
| 3 788× | *-lowering-*.f32 |
| 3 788× | *-lowering-*.f64 |
| 3 308× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 237 | 1068 |
| 1 | 650 | 1048 |
| 2 | 1708 | 990 |
| 3 | 4691 | 988 |
| 0 | 8122 | 895 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-230753/100000 |
(- (* 32897389437/10000000000 x) 230753/100000) |
(- (* x (+ 32897389437/10000000000 (* -2272085056444073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 32897389437/10000000000 (* x (- (* 225456728065888919717/100000000000000000000 x) 2272085056444073/1000000000000000)))) 230753/100000) |
x |
(* x (- 1 (* 230753/99229 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 23075300000/9846394441 (pow x 3))) (* 230753/99229 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 23075300000/9846394441 (pow x 3))) (+ (* 230753/99229 (/ 1 (pow x 2))) (* 2307530000000000/977047873985989 (/ 1 (pow x 4)))))) |
x |
(* -1 (* x (- (* 230753/99229 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 230753/99229 (/ 1 (pow x 2))) (+ 1 (/ 23075300000/9846394441 (pow x 3)))))) |
(* -1 (* x (- (+ (* -1 (/ (- 23075300000/9846394441 (* 2307530000000000/977047873985989 (/ 1 x))) (pow x 3))) (* 230753/99229 (/ 1 (pow x 2)))) 1))) |
230753/100000 |
(+ 230753/100000 (* -22897389437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 2272085056444073/1000000000000000 x) 22897389437/10000000000))) |
(+ 230753/100000 (* x (- (* x (+ 2272085056444073/1000000000000000 (* -225456728065888919717/100000000000000000000 x))) 22897389437/10000000000))) |
(/ 230753/99229 x) |
(/ (- 230753/99229 (* 23075300000/9846394441 (/ 1 x))) x) |
(/ (- (+ 230753/99229 (/ 2307530000000000/977047873985989 (pow x 2))) (* 23075300000/9846394441 (/ 1 x))) x) |
(/ (- (+ 230753/99229 (/ 2307530000000000/977047873985989 (pow x 2))) (+ (* 23075300000/9846394441 (/ 1 x)) (* 230753000000000000000/96951483487755702481 (/ 1 (pow x 3))))) x) |
(/ 230753/99229 x) |
(* -1 (/ (- (* 23075300000/9846394441 (/ 1 x)) 230753/99229) x)) |
(* -1 (/ (- (* -1 (/ (- (* 2307530000000000/977047873985989 (/ 1 x)) 23075300000/9846394441) x)) 230753/99229) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 230753000000000000000/96951483487755702481 (/ 1 x)) 2307530000000000/977047873985989) x)) 23075300000/9846394441) x)) 230753/99229) x)) |
1 |
(+ 1 (* 99229/100000 x)) |
(+ 1 (* 99229/100000 x)) |
(+ 1 (* 99229/100000 x)) |
(* 99229/100000 x) |
(* x (+ 99229/100000 (/ 1 x))) |
(* x (+ 99229/100000 (/ 1 x))) |
(* x (+ 99229/100000 (/ 1 x))) |
(* 99229/100000 x) |
(* x (+ 99229/100000 (/ 1 x))) |
(* x (+ 99229/100000 (/ 1 x))) |
(* x (+ 99229/100000 (/ 1 x))) |
-27061/99229 |
(- x 27061/99229) |
(- x 27061/99229) |
(- x 27061/99229) |
x |
(* x (- 1 (* 27061/99229 (/ 1 x)))) |
(* x (- 1 (* 27061/99229 (/ 1 x)))) |
(* x (- 1 (* 27061/99229 (/ 1 x)))) |
x |
(* -1 (* x (- (* 27061/99229 (/ 1 x)) 1))) |
(* -1 (* x (- (* 27061/99229 (/ 1 x)) 1))) |
(* -1 (* x (- (* 27061/99229 (/ 1 x)) 1))) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(* -1900161040244073/1000000000000000 (pow x 2)) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))))) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))))) |
(* -1900161040244073/1000000000000000 (pow x 2)) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000)) |
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000)) |
30191289437/10000000000 |
(+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)) |
(+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)) |
(+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)) |
(* -1900161040244073/1000000000000000 x) |
(* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(* -1900161040244073/1000000000000000 x) |
(* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))) |
(* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))) |
(* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000)))) 230753/100000) |
(* 198811400069098819717/100000000000000000000 (pow x 3)) |
(* (pow x 3) (- 198811400069098819717/100000000000000000000 (* 2003561459544073/1000000000000000 (/ 1 x)))) |
(* (pow x 3) (- (+ 198811400069098819717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 2003561459544073/1000000000000000 (/ 1 x)))) |
(* (pow x 3) (- (+ 198811400069098819717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (+ (* 2003561459544073/1000000000000000 (/ 1 x)) (* 230753/100000 (/ 1 (pow x 3)))))) |
(* 198811400069098819717/100000000000000000000 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 2003561459544073/1000000000000000 (/ 1 x)) 198811400069098819717/100000000000000000000))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000) x)) 198811400069098819717/100000000000000000000))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 2003561459544073/1000000000000000) x)) 198811400069098819717/100000000000000000000))) |
30191289437/10000000000 |
(+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x)) |
(+ 30191289437/10000000000 (* x (- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000))) |
(+ 30191289437/10000000000 (* x (- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000))) |
(* 198811400069098819717/100000000000000000000 (pow x 2)) |
(* (pow x 2) (- 198811400069098819717/100000000000000000000 (* 2003561459544073/1000000000000000 (/ 1 x)))) |
(* (pow x 2) (- (+ 198811400069098819717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 2003561459544073/1000000000000000 (/ 1 x)))) |
(* (pow x 2) (- (+ 198811400069098819717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 2003561459544073/1000000000000000 (/ 1 x)))) |
(* 198811400069098819717/100000000000000000000 (pow x 2)) |
(* (pow x 2) (- 198811400069098819717/100000000000000000000 (* 2003561459544073/1000000000000000 (/ 1 x)))) |
(* (pow x 2) (+ 198811400069098819717/100000000000000000000 (* -1 (/ (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x)))) |
(* (pow x 2) (+ 198811400069098819717/100000000000000000000 (* -1 (/ (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x)))) |
-2003561459544073/1000000000000000 |
(- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000) |
(- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000) |
(- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000) |
(* 198811400069098819717/100000000000000000000 x) |
(* x (- 198811400069098819717/100000000000000000000 (* 2003561459544073/1000000000000000 (/ 1 x)))) |
(* x (- 198811400069098819717/100000000000000000000 (* 2003561459544073/1000000000000000 (/ 1 x)))) |
(* x (- 198811400069098819717/100000000000000000000 (* 2003561459544073/1000000000000000 (/ 1 x)))) |
(* 198811400069098819717/100000000000000000000 x) |
(* -1 (* x (- (* 2003561459544073/1000000000000000 (/ 1 x)) 198811400069098819717/100000000000000000000))) |
(* -1 (* x (- (* 2003561459544073/1000000000000000 (/ 1 x)) 198811400069098819717/100000000000000000000))) |
(* -1 (* x (- (* 2003561459544073/1000000000000000 (/ 1 x)) 198811400069098819717/100000000000000000000))) |
(/ 1651231776/20079361 (pow x 2)) |
(/ (+ 1651231776/20079361 (* -27061/4481 x)) (pow x 2)) |
(/ (+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481))) (pow x 2)) |
(/ (+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481))) (pow x 2)) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(/ -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))) |
(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) |
| Outputs |
|---|
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- (* 32897389437/10000000000 x) 230753/100000) |
(fma.f64 #s(literal 32897389437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(- (* x (+ 32897389437/10000000000 (* -2272085056444073/1000000000000000 x))) 230753/100000) |
(fma.f64 x (fma.f64 x #s(literal -2272085056444073/1000000000000000 binary64) #s(literal 32897389437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(- (* x (+ 32897389437/10000000000 (* x (- (* 225456728065888919717/100000000000000000000 x) 2272085056444073/1000000000000000)))) 230753/100000) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 225456728065888919717/100000000000000000000 binary64) #s(literal -2272085056444073/1000000000000000 binary64)) #s(literal 32897389437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
x |
(* x (- 1 (* 230753/99229 (/ 1 (pow x 2))))) |
(fma.f64 x (/.f64 #s(literal -230753/99229 binary64) (*.f64 x x)) x) |
(* x (- (+ 1 (/ 23075300000/9846394441 (pow x 3))) (* 230753/99229 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 23075300000/9846394441 binary64) x) #s(literal -230753/99229 binary64)) #s(literal 1 binary64))) |
(* x (- (+ 1 (/ 23075300000/9846394441 (pow x 3))) (+ (* 230753/99229 (/ 1 (pow x 2))) (* 2307530000000000/977047873985989 (/ 1 (pow x 4)))))) |
(*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal 230753/99229 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2307530000000000/977047873985989 binary64) x) #s(literal -23075300000/9846394441 binary64)) x)) #s(literal 1 binary64))) |
x |
(* -1 (* x (- (* 230753/99229 (/ 1 (pow x 2))) 1))) |
(fma.f64 x (/.f64 #s(literal -230753/99229 binary64) (*.f64 x x)) x) |
(* -1 (* x (- (* 230753/99229 (/ 1 (pow x 2))) (+ 1 (/ 23075300000/9846394441 (pow x 3)))))) |
(*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 23075300000/9846394441 binary64) x) #s(literal -230753/99229 binary64)) #s(literal 1 binary64))) |
(* -1 (* x (- (+ (* -1 (/ (- 23075300000/9846394441 (* 2307530000000000/977047873985989 (/ 1 x))) (pow x 3))) (* 230753/99229 (/ 1 (pow x 2)))) 1))) |
(*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal 230753/99229 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2307530000000000/977047873985989 binary64) x) #s(literal -23075300000/9846394441 binary64)) x)) #s(literal 1 binary64))) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -22897389437/10000000000 x)) |
(fma.f64 x #s(literal -22897389437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 2272085056444073/1000000000000000 x) 22897389437/10000000000))) |
(fma.f64 x (fma.f64 x #s(literal 2272085056444073/1000000000000000 binary64) #s(literal -22897389437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* x (+ 2272085056444073/1000000000000000 (* -225456728065888919717/100000000000000000000 x))) 22897389437/10000000000))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -225456728065888919717/100000000000000000000 binary64) #s(literal 2272085056444073/1000000000000000 binary64)) #s(literal -22897389437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(/ 230753/99229 x) |
(/.f64 #s(literal 230753/99229 binary64) x) |
(/ (- 230753/99229 (* 23075300000/9846394441 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 230753/99229 binary64) (/.f64 #s(literal -23075300000/9846394441 binary64) x)) x) |
(/ (- (+ 230753/99229 (/ 2307530000000000/977047873985989 (pow x 2))) (* 23075300000/9846394441 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 230753/99229 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2307530000000000/977047873985989 binary64) x) #s(literal -23075300000/9846394441 binary64)) x)) x) |
(/ (- (+ 230753/99229 (/ 2307530000000000/977047873985989 (pow x 2))) (+ (* 23075300000/9846394441 (/ 1 x)) (* 230753000000000000000/96951483487755702481 (/ 1 (pow x 3))))) x) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 2307530000000000/977047873985989 binary64) (/.f64 #s(literal 230753000000000000000/96951483487755702481 binary64) x)) (+.f64 #s(literal 230753/99229 binary64) (/.f64 #s(literal -23075300000/9846394441 binary64) x))) x) |
(/ 230753/99229 x) |
(/.f64 #s(literal 230753/99229 binary64) x) |
(* -1 (/ (- (* 23075300000/9846394441 (/ 1 x)) 230753/99229) x)) |
(/.f64 (+.f64 #s(literal 230753/99229 binary64) (/.f64 #s(literal -23075300000/9846394441 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 2307530000000000/977047873985989 (/ 1 x)) 23075300000/9846394441) x)) 230753/99229) x)) |
(/.f64 (+.f64 #s(literal 230753/99229 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2307530000000000/977047873985989 binary64) x) #s(literal -23075300000/9846394441 binary64)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 230753000000000000000/96951483487755702481 (/ 1 x)) 2307530000000000/977047873985989) x)) 23075300000/9846394441) x)) 230753/99229) x)) |
(/.f64 (+.f64 #s(literal 230753/99229 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 2307530000000000/977047873985989 binary64) (/.f64 #s(literal 230753000000000000000/96951483487755702481 binary64) x)) x) #s(literal -23075300000/9846394441 binary64)) x)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 99229/100000 x)) |
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) |
(+ 1 (* 99229/100000 x)) |
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) |
(+ 1 (* 99229/100000 x)) |
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) |
(* 99229/100000 x) |
(*.f64 x #s(literal 99229/100000 binary64)) |
(* x (+ 99229/100000 (/ 1 x))) |
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) |
(* x (+ 99229/100000 (/ 1 x))) |
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) |
(* x (+ 99229/100000 (/ 1 x))) |
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) |
(* 99229/100000 x) |
(*.f64 x #s(literal 99229/100000 binary64)) |
(* x (+ 99229/100000 (/ 1 x))) |
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) |
(* x (+ 99229/100000 (/ 1 x))) |
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) |
(* x (+ 99229/100000 (/ 1 x))) |
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) |
-27061/99229 |
#s(literal -27061/99229 binary64) |
(- x 27061/99229) |
(+.f64 x #s(literal -27061/99229 binary64)) |
(- x 27061/99229) |
(+.f64 x #s(literal -27061/99229 binary64)) |
(- x 27061/99229) |
(+.f64 x #s(literal -27061/99229 binary64)) |
x |
(* x (- 1 (* 27061/99229 (/ 1 x)))) |
(+.f64 x #s(literal -27061/99229 binary64)) |
(* x (- 1 (* 27061/99229 (/ 1 x)))) |
(+.f64 x #s(literal -27061/99229 binary64)) |
(* x (- 1 (* 27061/99229 (/ 1 x)))) |
(+.f64 x #s(literal -27061/99229 binary64)) |
x |
(* -1 (* x (- (* 27061/99229 (/ 1 x)) 1))) |
(+.f64 x #s(literal -27061/99229 binary64)) |
(* -1 (* x (- (* 27061/99229 (/ 1 x)) 1))) |
(+.f64 x #s(literal -27061/99229 binary64)) |
(* -1 (* x (- (* 27061/99229 (/ 1 x)) 1))) |
(+.f64 x #s(literal -27061/99229 binary64)) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(* -1900161040244073/1000000000000000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64))) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(*.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64))) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))))) |
(*.f64 x (fma.f64 x (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal -230753/100000 binary64) (*.f64 x x))) #s(literal 30191289437/10000000000 binary64))) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))))) |
(*.f64 x (fma.f64 x (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal -230753/100000 binary64) (*.f64 x x))) #s(literal 30191289437/10000000000 binary64))) |
(* -1900161040244073/1000000000000000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64))) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(*.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64))) |
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000)) |
(*.f64 x (fma.f64 x (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal -230753/100000 binary64) (*.f64 x x))) #s(literal 30191289437/10000000000 binary64))) |
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000)) |
(*.f64 x (fma.f64 x (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal -230753/100000 binary64) (*.f64 x x))) #s(literal 30191289437/10000000000 binary64))) |
30191289437/10000000000 |
#s(literal 30191289437/10000000000 binary64) |
(+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)) |
(fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) |
(+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)) |
(fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) |
(+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)) |
(fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) |
(* -1900161040244073/1000000000000000 x) |
(*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)) |
(* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) |
(* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) |
(* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(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 (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))) |
(fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) |
(* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))) |
(fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) |
(* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))) |
(fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x))) 230753/100000) |
(fma.f64 x (fma.f64 x #s(literal -2003561459544073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000)))) 230753/100000) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64) #s(literal -2003561459544073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(* 198811400069098819717/100000000000000000000 (pow x 3)) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64))) |
(* (pow x 3) (- 198811400069098819717/100000000000000000000 (* 2003561459544073/1000000000000000 (/ 1 x)))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64) #s(literal -2003561459544073/1000000000000000 binary64))) |
(* (pow x 3) (- (+ 198811400069098819717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 2003561459544073/1000000000000000 (/ 1 x)))) |
(*.f64 (*.f64 x x) (fma.f64 x (+.f64 #s(literal 198811400069098819717/100000000000000000000 binary64) (/.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x x))) #s(literal -2003561459544073/1000000000000000 binary64))) |
(* (pow x 3) (- (+ 198811400069098819717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (+ (* 2003561459544073/1000000000000000 (/ 1 x)) (* 230753/100000 (/ 1 (pow x 3)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -2003561459544073/1000000000000000 binary64) (fma.f64 x (+.f64 #s(literal 198811400069098819717/100000000000000000000 binary64) (/.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x x))) (*.f64 x (/.f64 #s(literal -230753/100000 binary64) (*.f64 x (*.f64 x x))))))) |
(* 198811400069098819717/100000000000000000000 (pow x 3)) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64))) |
(* -1 (* (pow x 3) (- (* 2003561459544073/1000000000000000 (/ 1 x)) 198811400069098819717/100000000000000000000))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64) #s(literal -2003561459544073/1000000000000000 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000) x)) 198811400069098819717/100000000000000000000))) |
(*.f64 (*.f64 x x) (fma.f64 x (+.f64 #s(literal 198811400069098819717/100000000000000000000 binary64) (/.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x x))) #s(literal -2003561459544073/1000000000000000 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 2003561459544073/1000000000000000) x)) 198811400069098819717/100000000000000000000))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 198811400069098819717/100000000000000000000 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 30191289437/10000000000 binary64) (/.f64 #s(literal -230753/100000 binary64) x)) x) #s(literal -2003561459544073/1000000000000000 binary64)) x))) |
30191289437/10000000000 |
#s(literal 30191289437/10000000000 binary64) |
(+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x)) |
(fma.f64 x #s(literal -2003561459544073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) |
(+ 30191289437/10000000000 (* x (- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000))) |
(fma.f64 x (fma.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64) #s(literal -2003561459544073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) |
(+ 30191289437/10000000000 (* x (- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000))) |
(fma.f64 x (fma.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64) #s(literal -2003561459544073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) |
(* 198811400069098819717/100000000000000000000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64))) |
(* (pow x 2) (- 198811400069098819717/100000000000000000000 (* 2003561459544073/1000000000000000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64) #s(literal -2003561459544073/1000000000000000 binary64))) |
(* (pow x 2) (- (+ 198811400069098819717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 2003561459544073/1000000000000000 (/ 1 x)))) |
(*.f64 x (fma.f64 x (+.f64 #s(literal 198811400069098819717/100000000000000000000 binary64) (/.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x x))) #s(literal -2003561459544073/1000000000000000 binary64))) |
(* (pow x 2) (- (+ 198811400069098819717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 2003561459544073/1000000000000000 (/ 1 x)))) |
(*.f64 x (fma.f64 x (+.f64 #s(literal 198811400069098819717/100000000000000000000 binary64) (/.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x x))) #s(literal -2003561459544073/1000000000000000 binary64))) |
(* 198811400069098819717/100000000000000000000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64))) |
(* (pow x 2) (- 198811400069098819717/100000000000000000000 (* 2003561459544073/1000000000000000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64) #s(literal -2003561459544073/1000000000000000 binary64))) |
(* (pow x 2) (+ 198811400069098819717/100000000000000000000 (* -1 (/ (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x)))) |
(*.f64 x (fma.f64 x (+.f64 #s(literal 198811400069098819717/100000000000000000000 binary64) (/.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x x))) #s(literal -2003561459544073/1000000000000000 binary64))) |
(* (pow x 2) (+ 198811400069098819717/100000000000000000000 (* -1 (/ (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x)))) |
(*.f64 x (fma.f64 x (+.f64 #s(literal 198811400069098819717/100000000000000000000 binary64) (/.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x x))) #s(literal -2003561459544073/1000000000000000 binary64))) |
-2003561459544073/1000000000000000 |
#s(literal -2003561459544073/1000000000000000 binary64) |
(- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000) |
(fma.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64) #s(literal -2003561459544073/1000000000000000 binary64)) |
(- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000) |
(fma.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64) #s(literal -2003561459544073/1000000000000000 binary64)) |
(- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000) |
(fma.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64) #s(literal -2003561459544073/1000000000000000 binary64)) |
(* 198811400069098819717/100000000000000000000 x) |
(*.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64)) |
(* x (- 198811400069098819717/100000000000000000000 (* 2003561459544073/1000000000000000 (/ 1 x)))) |
(fma.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64) #s(literal -2003561459544073/1000000000000000 binary64)) |
(* x (- 198811400069098819717/100000000000000000000 (* 2003561459544073/1000000000000000 (/ 1 x)))) |
(fma.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64) #s(literal -2003561459544073/1000000000000000 binary64)) |
(* x (- 198811400069098819717/100000000000000000000 (* 2003561459544073/1000000000000000 (/ 1 x)))) |
(fma.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64) #s(literal -2003561459544073/1000000000000000 binary64)) |
(* 198811400069098819717/100000000000000000000 x) |
(*.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64)) |
(* -1 (* x (- (* 2003561459544073/1000000000000000 (/ 1 x)) 198811400069098819717/100000000000000000000))) |
(fma.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64) #s(literal -2003561459544073/1000000000000000 binary64)) |
(* -1 (* x (- (* 2003561459544073/1000000000000000 (/ 1 x)) 198811400069098819717/100000000000000000000))) |
(fma.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64) #s(literal -2003561459544073/1000000000000000 binary64)) |
(* -1 (* x (- (* 2003561459544073/1000000000000000 (/ 1 x)) 198811400069098819717/100000000000000000000))) |
(fma.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64) #s(literal -2003561459544073/1000000000000000 binary64)) |
(/ 1651231776/20079361 (pow x 2)) |
(/.f64 #s(literal 1651231776/20079361 binary64) (*.f64 x x)) |
(/ (+ 1651231776/20079361 (* -27061/4481 x)) (pow x 2)) |
(/.f64 (fma.f64 x #s(literal -27061/4481 binary64) #s(literal 1651231776/20079361 binary64)) (*.f64 x x)) |
(/ (+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481))) (pow x 2)) |
(/.f64 (fma.f64 x (fma.f64 x x #s(literal -27061/4481 binary64)) #s(literal 1651231776/20079361 binary64)) (*.f64 x x)) |
(/ (+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481))) (pow x 2)) |
(/.f64 (fma.f64 x (fma.f64 x x #s(literal -27061/4481 binary64)) #s(literal 1651231776/20079361 binary64)) (*.f64 x x)) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) #s(literal 1 binary64))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) #s(literal 1 binary64))) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) #s(literal 1 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)) |
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2)) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2)) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
-1651231776/20079361 |
#s(literal -1651231776/20079361 binary64) |
(- (* 27061/4481 x) 1651231776/20079361) |
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) |
(- (* 27061/4481 x) 1651231776/20079361) |
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) |
(- (* 27061/4481 x) 1651231776/20079361) |
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) |
(* 27061/4481 x) |
(*.f64 x #s(literal 27061/4481 binary64)) |
(* x (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) |
(* x (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) |
(* x (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) |
(* 27061/4481 x) |
(*.f64 x #s(literal 27061/4481 binary64)) |
(* -1 (* x (- (* 1651231776/20079361 (/ 1 x)) 27061/4481))) |
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) |
(* -1 (* x (- (* 1651231776/20079361 (/ 1 x)) 27061/4481))) |
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) |
(* -1 (* x (- (* 1651231776/20079361 (/ 1 x)) 27061/4481))) |
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
Compiled 12 454 to 1 451 computations (88.3% saved)
20 alts after pruning (6 fresh and 14 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 537 | 2 | 539 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 9 | 9 |
| Total | 537 | 20 | 557 |
| Status | Accuracy | Program |
|---|---|---|
| 73.9% | (fma.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal -1 binary64)))) x) | |
| ✓ | 45.5% | (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64) #s(literal -2003561459544073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
| ✓ | 45.6% | (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)) |
| ✓ | 44.1% | (fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
| 43.7% | (fma.f64 x (fma.f64 x #s(literal -2272085056444073/1000000000000000 binary64) #s(literal 32897389437/10000000000 binary64)) #s(literal -230753/100000 binary64)) | |
| ✓ | 52.0% | (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
| ✓ | 52.0% | (-.f64 x (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) |
| ✓ | 57.3% | (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) |
| ✓ | 100.0% | (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
| ✓ | 98.2% | (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) |
| ✓ | 58.5% | (-.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))))) |
| 57.1% | (-.f64 x (/.f64 (+.f64 #s(literal 230753/99229 binary64) (/.f64 #s(literal -23075300000/9846394441 binary64) x)) x)) | |
| 57.9% | (-.f64 x (/.f64 (*.f64 x #s(literal 27061/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) | |
| ✓ | 58.3% | (-.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) |
| 58.2% | (-.f64 x (/.f64 #s(literal 230753/99229 binary64) x)) | |
| ✓ | 98.2% | (-.f64 x (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) |
| 97.6% | (-.f64 x #s(literal 230753/100000 binary64)) | |
| ✓ | 63.2% | (-.f64 x #s(literal 27061/99229 binary64)) |
| ✓ | 58.2% | x |
| ✓ | 43.4% | #s(literal -230753/100000 binary64) |
Compiled 398 to 229 computations (42.5% saved)
| Inputs |
|---|
#s(literal -230753/100000 binary64) |
x |
(-.f64 x #s(literal 27061/99229 binary64)) |
(-.f64 x #s(literal 230753/100000 binary64)) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
(-.f64 x (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) |
(fma.f64 x (fma.f64 x #s(literal -2272085056444073/1000000000000000 binary64) #s(literal 32897389437/10000000000 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 x (/.f64 #s(literal 230753/99229 binary64) x)) |
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64) #s(literal -2003561459544073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(-.f64 x (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) |
(-.f64 x (/.f64 (*.f64 x #s(literal 27061/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) |
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) |
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) |
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) |
(-.f64 x (/.f64 (+.f64 #s(literal 230753/99229 binary64) (/.f64 #s(literal -23075300000/9846394441 binary64) x)) x)) |
(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) |
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #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))))) |
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
(fma.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal -1 binary64)))) x) |
| Outputs |
|---|
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
2 calls:
| 9.0ms | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
#s(literal -230753/100000 binary64) |
x |
(-.f64 x #s(literal 27061/99229 binary64)) |
(-.f64 x #s(literal 230753/100000 binary64)) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
(-.f64 x (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) |
(fma.f64 x (fma.f64 x #s(literal -2272085056444073/1000000000000000 binary64) #s(literal 32897389437/10000000000 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 x (/.f64 #s(literal 230753/99229 binary64) x)) |
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64) #s(literal -2003561459544073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(-.f64 x (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) |
(-.f64 x (/.f64 (*.f64 x #s(literal 27061/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) |
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) |
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) |
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) |
(-.f64 x (/.f64 (+.f64 #s(literal 230753/99229 binary64) (/.f64 #s(literal -23075300000/9846394441 binary64) x)) x)) |
(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) |
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #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))))) |
| Outputs |
|---|
(-.f64 x (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) |
2 calls:
| 41.0ms | x |
| 6.0ms | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 1 | x |
| 98.2% | 1 | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
#s(literal -230753/100000 binary64) |
x |
(-.f64 x #s(literal 27061/99229 binary64)) |
(-.f64 x #s(literal 230753/100000 binary64)) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
(-.f64 x (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) |
(fma.f64 x (fma.f64 x #s(literal -2272085056444073/1000000000000000 binary64) #s(literal 32897389437/10000000000 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 x (/.f64 #s(literal 230753/99229 binary64) x)) |
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64) #s(literal -2003561459544073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
| Outputs |
|---|
(-.f64 x #s(literal 230753/100000 binary64)) |
2 calls:
| 4.0ms | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 1 | x |
| 97.6% | 1 | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
#s(literal -230753/100000 binary64) |
x |
(-.f64 x #s(literal 27061/99229 binary64)) |
| Outputs |
|---|
x |
#s(literal -230753/100000 binary64) |
x |
2 calls:
| 2.0ms | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 3 | x |
| 98.1% | 3 | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
Compiled 20 to 15 computations (25% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal -230753/100000 binary64) |
| Outputs |
|---|
#s(literal -230753/100000 binary64) |
2 calls:
| 1.0ms | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.4% | 1 | x |
| 43.4% | 1 | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
Compiled 20 to 15 computations (25% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.1846915587368065 | 16.23181145365713 |
| 0.0ms | -106064.44554751649 | -2.307570259747123 |
Compiled 21 to 18 computations (14.3% saved)
| 1× | egg-herbie |
| 50× | +-commutative_binary64 |
| 44× | sub-neg_binary64 |
| 42× | *-commutative_binary64 |
| 36× | neg-sub0_binary64 |
| 36× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 69 |
| 1 | 50 | 69 |
| 2 | 73 | 69 |
| 3 | 98 | 69 |
| 4 | 133 | 69 |
| 5 | 158 | 69 |
| 6 | 177 | 69 |
| 7 | 186 | 69 |
| 8 | 190 | 69 |
| 9 | 191 | 69 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
(-.f64 x (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) |
(-.f64 x #s(literal 230753/100000 binary64)) |
(if (<=.f64 (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) #s(literal -100000 binary64)) x (if (<=.f64 (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) #s(literal -1 binary64)) #s(literal -230753/100000 binary64) x)) |
#s(literal -230753/100000 binary64) |
| Outputs |
|---|
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
(-.f64 x (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) |
(-.f64 x #s(literal 230753/100000 binary64)) |
(if (<=.f64 (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) #s(literal -100000 binary64)) x (if (<=.f64 (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) #s(literal -1 binary64)) #s(literal -230753/100000 binary64) x)) |
(if (<=.f64 (+.f64 x (/.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))))))) #s(literal -100000 binary64)) x (if (<=.f64 (+.f64 x (/.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))))))) #s(literal -1 binary64)) #s(literal -230753/100000 binary64) x)) |
#s(literal -230753/100000 binary64) |
| 9 870× | accelerator-lowering-fma.f32 |
| 9 870× | accelerator-lowering-fma.f64 |
| 9 374× | accelerator-lowering-fma.f32 |
| 9 374× | accelerator-lowering-fma.f64 |
| 9 368× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 151 | 896 |
| 1 | 407 | 888 |
| 2 | 976 | 798 |
| 3 | 2392 | 758 |
| 4 | 6987 | 758 |
| 0 | 8003 | 699 |
| 0 | 284 | 1079 |
| 1 | 815 | 1046 |
| 2 | 2054 | 1015 |
| 3 | 6354 | 1000 |
| 0 | 8373 | 888 |
| 0 | 14 | 64 |
| 1 | 84 | 64 |
| 2 | 730 | 64 |
| 0 | 8408 | 53 |
| 0 | 128 | 590 |
| 1 | 360 | 582 |
| 2 | 869 | 556 |
| 3 | 2171 | 520 |
| 4 | 6808 | 520 |
| 0 | 8193 | 466 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 131 to 76 computations (42% saved)
Compiled 176 to 88 computations (50% saved)
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