
Time bar (total: 8.2s)
| 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)
| 1.2s | 8 256× | 0 | valid |
const: 577.0ms (58.1% of total)ival-mult: 153.0ms (15.4% of total)ival-add: 143.0ms (14.4% of total)ival-sub: 54.0ms (5.4% of total)ival-div: 51.0ms (5.1% of total)ival-true: 6.0ms (0.6% of total)exact: 5.0ms (0.5% of total)ival-assert: 3.0ms (0.3% of total)| 1× | egg-herbie |
| 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 | 16 | 43 |
| 1 | 37 | 37 |
| 2 | 103 | 35 |
| 3 | 285 | 34 |
| 4 | 715 | 34 |
| 5 | 1276 | 34 |
| 6 | 1752 | 34 |
| 7 | 2396 | 34 |
| 8 | 2457 | 34 |
| 9 | 2488 | 34 |
| 10 | 2488 | 34 |
| 0 | 14 | 17 |
| 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)))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 58 | 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 |
| 89.0ms | 512× | 0 | valid |
Compiled 180 to 60 computations (66.7% saved)
const: 49.0ms (69% of total)ival-mult: 9.0ms (12.7% of total)ival-add: 6.0ms (8.4% of total)ival-div: 3.0ms (4.2% of total)ival-sub: 2.0ms (2.8% of total)ival-true: 1.0ms (1.4% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
Compiled 18 to 14 computations (22.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) |
| 1 400× | 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) |
(*.f64 x #s(literal 27061/100000 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) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 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) |
(*.f64 x #s(literal 4481/100000 binary64)) |
4481/100000 |
#s(literal 4481/100000 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x) |
| ✓ | accuracy | 99.4% | (*.f64 x #s(literal 27061/100000 binary64)) |
| ✓ | accuracy | 99.3% | (*.f64 x #s(literal 4481/100000 binary64)) |
| ✓ | accuracy | 78.7% | (/.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))) |
| 55.0ms | 256× | 0 | valid |
Compiled 72 to 16 computations (77.8% saved)
const: 32.0ms (69.6% of total)ival-add: 6.0ms (13% of total)ival-mult: 5.0ms (10.9% of total)ival-div: 2.0ms (4.3% of total)ival-sub: 1.0ms (2.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ 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 4481/100000)> |
#<alt (* x 27061/100000)> |
#<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 (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 99229/100000 x)> |
#<alt (* x (+ 99229/100000 (* 4481/100000 x)))> |
#<alt (* x (+ 99229/100000 (* 4481/100000 x)))> |
#<alt (* x (+ 99229/100000 (* 4481/100000 x)))> |
#<alt (* 4481/100000 (pow x 2))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* 4481/100000 (pow x 2))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) |
| 0.0ms | x | @ | -inf | (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)) |
| 0.0ms | x | @ | inf | (+ 230753/100000 (* x 27061/100000)) |
| 0.0ms | x | @ | 0 | (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)) |
| 0.0ms | x | @ | inf | (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 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 4481/100000) |
(* x 27061/100000) |
(* (+ 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))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))) (/.f64 #s(literal 53246947009/10000000000 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(fma.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 1 binary64) #s(literal 230753/100000 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) |
(fma.f64 #s(literal 53246947009/10000000000 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))))) |
(neg.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)))) |
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(/.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)) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 99229/100000 x) |
(* x (+ 99229/100000 (* 4481/100000 x))) |
(* x (+ 99229/100000 (* 4481/100000 x))) |
(* x (+ 99229/100000 (* 4481/100000 x))) |
(* 4481/100000 (pow x 2)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* 4481/100000 (pow x 2)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
| Outputs |
|---|
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* 27061/100000 x)) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* 27061/100000 x)) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* 27061/100000 x)) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 99229/100000 x)) |
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(* 4481/100000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(* 4481/100000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
99229/100000 |
#s(literal 99229/100000 binary64) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x)) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
(+.f64 x (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x) #s(literal -27061/4481 binary64)) x)) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x)) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
(+.f64 x (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x) #s(literal -27061/4481 binary64)) x)) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) |
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 (+.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal -151724043800704/89975616641 binary64)) x)) x)) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 (+.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal -151724043800704/89975616641 binary64)) x)) x)) x) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 99229/100000 x) |
(*.f64 x #s(literal 99229/100000 binary64)) |
(* x (+ 99229/100000 (* 4481/100000 x))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* x (+ 99229/100000 (* 4481/100000 x))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* x (+ 99229/100000 (* 4481/100000 x))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* 4481/100000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* 4481/100000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
Compiled 18 059 to 2 017 computations (88.8% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 553 | 14 | 567 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 554 | 14 | 568 |
| Status | Accuracy | Program |
|---|---|---|
| 55.8% | (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)) | |
| 54.5% | (fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) | |
| ▶ | 60.7% | (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
| ▶ | 55.8% | (-.f64 x (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))) |
| 54.5% | (-.f64 x (fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))) | |
| 60.8% | (-.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)))) |
| 46.4% | (-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) | |
| 76.5% | (-.f64 x (/.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))))) | |
| 98.1% | (-.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)))) | |
| ▶ | 47.7% | (-.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) |
| 97.2% | (-.f64 x #s(literal 230753/100000 binary64)) | |
| 48.0% | x | |
| ▶ | 53.4% | #s(literal -230753/100000 binary64) |
Compiled 260 to 190 computations (26.9% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | 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 -20191289437/10000000000 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 -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
| ✓ | cost-diff | 192 | (-.f64 x (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))) |
| ✓ | 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)))) |
| 8 568× | accelerator-lowering-fma.f32 |
| 8 568× | accelerator-lowering-fma.f64 |
| 1 704× | *-lowering-*.f32 |
| 1 704× | *-lowering-*.f64 |
| 1 592× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 123 |
| 1 | 73 | 123 |
| 2 | 173 | 123 |
| 3 | 381 | 122 |
| 4 | 997 | 121 |
| 5 | 2565 | 121 |
| 6 | 4114 | 121 |
| 7 | 5183 | 121 |
| 8 | 5932 | 121 |
| 9 | 6293 | 121 |
| 10 | 6441 | 121 |
| 11 | 6611 | 121 |
| 12 | 6719 | 121 |
| 13 | 6753 | 121 |
| 14 | 6761 | 121 |
| 15 | 6765 | 121 |
| 16 | 7105 | 121 |
| 17 | 7409 | 121 |
| 18 | 7499 | 121 |
| 19 | 7646 | 121 |
| 20 | 7646 | 121 |
| 21 | 7646 | 121 |
| 22 | 7646 | 121 |
| 0 | 7646 | 101 |
| 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 (+ (* x (+ (* x (+ (* x -179503363065659419717/100000000000000000000) 1900161040244073/1000000000000000)) -20191289437/10000000000)) 230753/100000)) |
x |
(+ (* x (+ (* x (+ (* x -179503363065659419717/100000000000000000000) 1900161040244073/1000000000000000)) -20191289437/10000000000)) 230753/100000) |
(+ (* x (+ (* x -179503363065659419717/100000000000000000000) 1900161040244073/1000000000000000)) -20191289437/10000000000) |
(+ (* x -179503363065659419717/100000000000000000000) 1900161040244073/1000000000000000) |
-179503363065659419717/100000000000000000000 |
1900161040244073/1000000000000000 |
-20191289437/10000000000 |
230753/100000 |
| 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 (+ (* x (+ (* x (+ (* x -179503363065659419717/100000000000000000000) 1900161040244073/1000000000000000)) -20191289437/10000000000)) 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 (+ (* x -179503363065659419717/100000000000000000000) 1900161040244073/1000000000000000)) -20191289437/10000000000)) 230753/100000) |
(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)) |
(+ (* x (+ (* x -179503363065659419717/100000000000000000000) 1900161040244073/1000000000000000)) -20191289437/10000000000) |
(fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 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) |
-20191289437/10000000000 |
#s(literal -20191289437/10000000000 binary64) |
230753/100000 |
#s(literal 230753/100000 binary64) |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 x (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))) |
| ✓ | accuracy | 99.9% | (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)) |
| ✓ | accuracy | 99.9% | (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) |
| ✓ | 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 | 99.9% | (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.7% | (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
| ✓ | accuracy | 99.7% | (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
| ✓ | accuracy | 78.7% | (/.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))) |
| 72.0ms | 256× | 0 | valid |
Compiled 105 to 33 computations (68.6% saved)
const: 29.0ms (50.7% of total)ival-mult: 12.0ms (21% of total)ival-add: 7.0ms (12.2% of total)ival-div: 4.0ms (7% of total)ival-sub: 4.0ms (7% 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 (+ (* x (+ (* x (+ (* x -179503363065659419717/100000000000000000000) 1900161040244073/1000000000000000)) -20191289437/10000000000)) 230753/100000))> |
#<alt (+ (* x (+ (* x (+ (* x -179503363065659419717/100000000000000000000) 1900161040244073/1000000000000000)) -20191289437/10000000000)) 230753/100000)> |
#<alt (+ (* x (+ (* x -179503363065659419717/100000000000000000000) 1900161040244073/1000000000000000)) -20191289437/10000000000)> |
#<alt (+ (* x -179503363065659419717/100000000000000000000) 1900161040244073/1000000000000000)> |
#<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 -230753/100000> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)> |
#<alt (* 179503363065659419717/100000000000000000000 (pow x 3))> |
#<alt (* (pow x 3) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (+ (* 1900161040244073/1000000000000000 (/ 1 x)) (* 230753/100000 (/ 1 (pow x 3))))))> |
#<alt (* 179503363065659419717/100000000000000000000 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000)))> |
#<alt 230753/100000> |
#<alt (+ 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 (* -179503363065659419717/100000000000000000000 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))> |
#<alt (* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) (+ 179503363065659419717/100000000000000000000 (/ 20191289437/10000000000 (pow x 2)))))> |
#<alt (* (pow x 3) (- (+ (* 1900161040244073/1000000000000000 (/ 1 x)) (* 230753/100000 (/ 1 (pow x 3)))) (+ 179503363065659419717/100000000000000000000 (/ 20191289437/10000000000 (pow x 2)))))> |
#<alt (* -179503363065659419717/100000000000000000000 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 20191289437/10000000000 (/ 1 x))) x)))))> |
#<alt (* -1 (* (pow x 3) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (+ 1900161040244073/1000000000000000 (* -1 (/ (- 20191289437/10000000000 (* 230753/100000 (/ 1 x))) x))) x)))))> |
#<alt -20191289437/10000000000> |
#<alt (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)> |
#<alt (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)> |
#<alt (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)> |
#<alt (* -179503363065659419717/100000000000000000000 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))> |
#<alt (* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) (+ 179503363065659419717/100000000000000000000 (/ 20191289437/10000000000 (pow x 2)))))> |
#<alt (* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) (+ 179503363065659419717/100000000000000000000 (/ 20191289437/10000000000 (pow x 2)))))> |
#<alt (* -179503363065659419717/100000000000000000000 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))> |
#<alt (* (pow x 2) (- (* -1 (/ (- (* 20191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000))> |
#<alt (* (pow x 2) (- (* -1 (/ (- (* 20191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000))> |
#<alt 1900161040244073/1000000000000000> |
#<alt (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))> |
#<alt (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))> |
#<alt (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))> |
#<alt (* -179503363065659419717/100000000000000000000 x)> |
#<alt (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))> |
#<alt (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))> |
#<alt (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))> |
#<alt (* -179503363065659419717/100000000000000000000 x)> |
#<alt (* -1 (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))))> |
#<alt (* -1 (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))))> |
#<alt (* -1 (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))))> |
#<alt 99229/100000> |
#<alt (+ 99229/100000 (* 4481/100000 x))> |
#<alt (+ 99229/100000 (* 4481/100000 x))> |
#<alt (+ 99229/100000 (* 4481/100000 x))> |
#<alt (* 4481/100000 x)> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* 4481/100000 x)> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (- x (+ (* x (+ (* x (+ (* x -179503363065659419717/100000000000000000000) 1900161040244073/1000000000000000)) -20191289437/10000000000)) 230753/100000)) |
| 1.0ms | x | @ | -inf | (- x (+ (* x (+ (* x (+ (* x -179503363065659419717/100000000000000000000) 1900161040244073/1000000000000000)) -20191289437/10000000000)) 230753/100000)) |
| 0.0ms | x | @ | 0 | (- x (/ 27061/4481 x)) |
| 0.0ms | x | @ | 0 | (/ 27061/4481 x) |
| 0.0ms | x | @ | inf | (+ (* x (+ (* x (+ (* x -179503363065659419717/100000000000000000000) 1900161040244073/1000000000000000)) -20191289437/10000000000)) 230753/100000) |
| 1× | batch-egg-rewrite |
| 4 774× | accelerator-lowering-fma.f32 |
| 4 774× | accelerator-lowering-fma.f64 |
| 4 236× | *-lowering-*.f32 |
| 4 236× | *-lowering-*.f64 |
| 4 194× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 106 |
| 1 | 212 | 106 |
| 2 | 1876 | 106 |
| 0 | 8789 | 86 |
| 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 (+ (* x (+ (* x (+ (* x -179503363065659419717/100000000000000000000) 1900161040244073/1000000000000000)) -20191289437/10000000000)) 230753/100000)) |
(+ (* x (+ (* x (+ (* x -179503363065659419717/100000000000000000000) 1900161040244073/1000000000000000)) -20191289437/10000000000)) 230753/100000) |
(+ (* x (+ (* x -179503363065659419717/100000000000000000000) 1900161040244073/1000000000000000)) -20191289437/10000000000) |
(+ (* x -179503363065659419717/100000000000000000000) 1900161040244073/1000000000000000) |
(+ (* x 4481/100000) 99229/100000) |
| Outputs |
|---|
(+.f64 x (neg.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))) |
(+.f64 (neg.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) x) |
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (*.f64 x x))) (/.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))) (fma.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (*.f64 x x)))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))) (/.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (neg.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))))) (/.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (-.f64 x (neg.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))))) |
(fma.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) x) |
(fma.f64 (neg.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) |
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) |
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal 53246947009/10000000000 binary64)) (*.f64 x #s(literal 6244406933/10000000000 binary64)))) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) |
(fma.f64 (/.f64 (fma.f64 (*.f64 x 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 x (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) #s(literal 1 binary64))) (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) #s(literal 1 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) #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 (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 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)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (-.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))))) (fma.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))))) (fma.f64 x x (-.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (*.f64 x (neg.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))))))) |
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(+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)))) |
(-.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)) (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)) (+.f64 #s(literal 9846394441/10000000000 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64))))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)) (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64))) (neg.f64 (+.f64 #s(literal 9846394441/10000000000 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64))) (neg.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)))) |
(/.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64))) (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal 9846394441/10000000000 binary64))) (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)))) (neg.f64 (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) |
(/.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 (-.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)) (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)))) |
| 1× | egg-herbie |
| 9 758× | accelerator-lowering-fma.f32 |
| 9 758× | accelerator-lowering-fma.f64 |
| 4 214× | *-lowering-*.f32 |
| 4 214× | *-lowering-*.f64 |
| 1 950× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 202 | 1010 |
| 1 | 594 | 980 |
| 2 | 1683 | 956 |
| 3 | 5077 | 954 |
| 0 | 8190 | 852 |
| 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) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
(* 179503363065659419717/100000000000000000000 (pow x 3)) |
(* (pow x 3) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (+ (* 1900161040244073/1000000000000000 (/ 1 x)) (* 230753/100000 (/ 1 (pow x 3)))))) |
(* 179503363065659419717/100000000000000000000 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000))) |
230753/100000 |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(* -179503363065659419717/100000000000000000000 (pow x 3)) |
(* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)) |
(* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) (+ 179503363065659419717/100000000000000000000 (/ 20191289437/10000000000 (pow x 2))))) |
(* (pow x 3) (- (+ (* 1900161040244073/1000000000000000 (/ 1 x)) (* 230753/100000 (/ 1 (pow x 3)))) (+ 179503363065659419717/100000000000000000000 (/ 20191289437/10000000000 (pow x 2))))) |
(* -179503363065659419717/100000000000000000000 (pow x 3)) |
(* -1 (* (pow x 3) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 20191289437/10000000000 (/ 1 x))) x))))) |
(* -1 (* (pow x 3) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (+ 1900161040244073/1000000000000000 (* -1 (/ (- 20191289437/10000000000 (* 230753/100000 (/ 1 x))) x))) x))))) |
-20191289437/10000000000 |
(- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000) |
(- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000) |
(- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000) |
(* -179503363065659419717/100000000000000000000 (pow x 2)) |
(* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)) |
(* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) (+ 179503363065659419717/100000000000000000000 (/ 20191289437/10000000000 (pow x 2))))) |
(* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) (+ 179503363065659419717/100000000000000000000 (/ 20191289437/10000000000 (pow x 2))))) |
(* -179503363065659419717/100000000000000000000 (pow x 2)) |
(* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)) |
(* (pow x 2) (- (* -1 (/ (- (* 20191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000)) |
(* (pow x 2) (- (* -1 (/ (- (* 20191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000)) |
1900161040244073/1000000000000000 |
(+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x)) |
(+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x)) |
(+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x)) |
(* -179503363065659419717/100000000000000000000 x) |
(* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)) |
(* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)) |
(* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)) |
(* -179503363065659419717/100000000000000000000 x) |
(* -1 (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))) |
(* -1 (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))) |
(* -1 (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))) |
99229/100000 |
(+ 99229/100000 (* 4481/100000 x)) |
(+ 99229/100000 (* 4481/100000 x)) |
(+ 99229/100000 (* 4481/100000 x)) |
(* 4481/100000 x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* 4481/100000 x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
| 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))))) |
(fma.f64 x (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x)) x) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.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 (fma.f64 x (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x)) x) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) (*.f64 x x))) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(fma.f64 x (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x)) x) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.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 (fma.f64 x (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x)) x) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) (*.f64 x x))) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
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(* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)) |
(fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) |
(* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)) |
(fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) |
(* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)) |
(fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) |
(* -179503363065659419717/100000000000000000000 x) |
(*.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64)) |
(* -1 (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))) |
(fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) |
(* -1 (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))) |
(fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) |
(* -1 (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))) |
(fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 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)) |
Compiled 15 703 to 1 627 computations (89.6% saved)
15 alts after pruning (10 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 522 | 3 | 525 |
| Fresh | 2 | 7 | 9 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 524 | 15 | 539 |
| Status | Accuracy | Program |
|---|---|---|
| 55.8% | (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)) | |
| 54.5% | (fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) | |
| ✓ | 60.7% | (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
| ✓ | 55.8% | (-.f64 x (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))) |
| ▶ | 54.5% | (-.f64 x (fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))) |
| ▶ | 60.8% | (-.f64 x (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) |
| 76.5% | (-.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))))) | |
| ✓ | 100.0% | (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
| ▶ | 98.1% | (-.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)))) |
| 47.8% | (-.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))))) | |
| ▶ | 46.4% | (-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) |
| ✓ | 47.7% | (-.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) |
| 97.2% | (-.f64 x #s(literal 230753/100000 binary64)) | |
| ▶ | 48.0% | x |
| ✓ | 53.4% | #s(literal -230753/100000 binary64) |
Compiled 241 to 174 computations (27.8% saved)
| 1× | egg-herbie |
Found 13 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 | (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
| ✓ | cost-diff | 192 | (-.f64 x (fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 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)))) |
| 3 280× | accelerator-lowering-fma.f32 |
| 3 280× | accelerator-lowering-fma.f64 |
| 1 072× | *-lowering-*.f32 |
| 1 072× | *-lowering-*.f64 |
| 712× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 111 |
| 1 | 57 | 111 |
| 2 | 119 | 109 |
| 3 | 263 | 107 |
| 4 | 562 | 107 |
| 5 | 1078 | 107 |
| 6 | 1773 | 107 |
| 7 | 2596 | 107 |
| 8 | 3474 | 107 |
| 9 | 3928 | 107 |
| 10 | 4010 | 107 |
| 11 | 4077 | 107 |
| 12 | 4125 | 107 |
| 13 | 4135 | 107 |
| 14 | 4247 | 107 |
| 15 | 4287 | 107 |
| 16 | 4287 | 107 |
| 17 | 4287 | 107 |
| 0 | 4287 | 94 |
| 1× | iter limit |
| 1× | saturated |
| 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 1900161040244073/1000000000000000) -20191289437/10000000000)) 230753/100000)) |
x |
(+ (* x (+ (* x 1900161040244073/1000000000000000) -20191289437/10000000000)) 230753/100000) |
(+ (* x 1900161040244073/1000000000000000) -20191289437/10000000000) |
1900161040244073/1000000000000000 |
-20191289437/10000000000 |
230753/100000 |
(- 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 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 1900161040244073/1000000000000000) -20191289437/10000000000)) 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 (+ (* x 1900161040244073/1000000000000000) -20191289437/10000000000)) 230753/100000) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(+ (* x 1900161040244073/1000000000000000) -20191289437/10000000000) |
(fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) |
1900161040244073/1000000000000000 |
#s(literal 1900161040244073/1000000000000000 binary64) |
-20191289437/10000000000 |
#s(literal -20191289437/10000000000 binary64) |
230753/100000 |
#s(literal 230753/100000 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 13 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 | 99.7% | (/.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 (fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 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% | (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 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 | 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 | 99.7% | (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
| 67.0ms | 256× | 0 | valid |
Compiled 100 to 29 computations (71% saved)
const: 26.0ms (48.9% of total)ival-add: 9.0ms (16.9% of total)ival-mult: 8.0ms (15% of total)ival-div: 5.0ms (9.4% of total)ival-sub: 5.0ms (9.4% 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 1900161040244073/1000000000000000) -20191289437/10000000000)) 230753/100000))> |
#<alt (+ (* x (+ (* x 1900161040244073/1000000000000000) -20191289437/10000000000)) 230753/100000)> |
#<alt (+ (* x 1900161040244073/1000000000000000) -20191289437/10000000000)> |
#<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)> |
| 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 (* -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 230753/100000> |
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))> |
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))> |
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))> |
#<alt (* 1900161040244073/1000000000000000 (pow x 2))> |
#<alt (* (pow x 2) (- 1900161040244073/1000000000000000 (* 20191289437/10000000000 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 20191289437/10000000000 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 20191289437/10000000000 (/ 1 x))))> |
#<alt (* 1900161040244073/1000000000000000 (pow x 2))> |
#<alt (* (pow x 2) (- 1900161040244073/1000000000000000 (* 20191289437/10000000000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1900161040244073/1000000000000000 (* -1 (/ (- 20191289437/10000000000 (* 230753/100000 (/ 1 x))) x))))> |
#<alt (* (pow x 2) (+ 1900161040244073/1000000000000000 (* -1 (/ (- 20191289437/10000000000 (* 230753/100000 (/ 1 x))) x))))> |
#<alt -20191289437/10000000000> |
#<alt (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)> |
#<alt (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)> |
#<alt (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)> |
#<alt (* 1900161040244073/1000000000000000 x)> |
#<alt (* x (- 1900161040244073/1000000000000000 (* 20191289437/10000000000 (/ 1 x))))> |
#<alt (* x (- 1900161040244073/1000000000000000 (* 20191289437/10000000000 (/ 1 x))))> |
#<alt (* x (- 1900161040244073/1000000000000000 (* 20191289437/10000000000 (/ 1 x))))> |
#<alt (* 1900161040244073/1000000000000000 x)> |
#<alt (* -1 (* x (- (* 20191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)))> |
#<alt (* -1 (* x (- (* 20191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)))> |
#<alt (* -1 (* x (- (* 20191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)))> |
#<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)> |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x 99229/100000) 1))) |
| 0.0ms | x | @ | 0 | (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x) |
| 0.0ms | x | @ | 0 | (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x 99229/100000) 1))) |
| 0.0ms | x | @ | -inf | (- x (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x)) |
| 0.0ms | x | @ | -inf | (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x) |
| 1× | batch-egg-rewrite |
| 4 590× | /-lowering-/.f32 |
| 4 590× | /-lowering-/.f64 |
| 4 218× | *-lowering-*.f32 |
| 4 218× | *-lowering-*.f64 |
| 3 924× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 95 |
| 1 | 194 | 95 |
| 2 | 1806 | 95 |
| 0 | 8608 | 82 |
| 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 1900161040244073/1000000000000000) -20191289437/10000000000)) 230753/100000)) |
(+ (* x (+ (* x 1900161040244073/1000000000000000) -20191289437/10000000000)) 230753/100000) |
(+ (* x 1900161040244073/1000000000000000) -20191289437/10000000000) |
(- x (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x)) |
(/ (+ 27061/4481 (/ -1651231776/20079361 x)) x) |
(+ 27061/4481 (/ -1651231776/20079361 x)) |
(/ -1651231776/20079361 x) |
| Outputs |
|---|
(+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (neg.f64 (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)) (neg.f64 (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 (/.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 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 #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 (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 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 #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)))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (neg.f64 (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)) (neg.f64 (fma.f64 x #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 #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) x) |
(fma.f64 (neg.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #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 #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 #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 #s(literal 99229/100000 binary64) #s(literal 1 binary64))) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 977047873985989/1000000000000000 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 9846394441/10000000000 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 9846394441/10000000000 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 #s(literal 99229/100000 binary64) #s(literal -1 binary64)))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.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 x x)) (-.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 #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 (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 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 #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (fma.f64 x #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 #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 (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 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 #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 (*.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)) (neg.f64 (fma.f64 x #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 #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))))) |
(/.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 #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)) (neg.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.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 x x)) (-.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 #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))))))))) |
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(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 732297721/20079361 binary64) (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)))) |
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(-.f64 (/.f64 #s(literal 732297721/20079361 binary64) (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))) (/.f64 (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (*.f64 x x)) (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64))) (/.f64 #s(literal 732297721/20079361 binary64) (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) |
(fma.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 27061/4481 binary64)) |
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(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1651231776/20079361 binary64) #s(literal 27061/4481 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) #s(literal 732297721/20079361 binary64)) (+.f64 #s(literal 19816708627981/89975616641 binary64) (/.f64 #s(literal -4502193042845904546911256576/8095611589928196122881 binary64) (*.f64 x (*.f64 x x)))))) |
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(/.f64 (+.f64 #s(literal 19816708627981/89975616641 binary64) (/.f64 #s(literal -4502193042845904546911256576/8095611589928196122881 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (*.f64 x x)) (-.f64 #s(literal 732297721/20079361 binary64) (/.f64 #s(literal -44683983090336/89975616641 binary64) x)))) |
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(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 732297721/20079361 binary64) (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (*.f64 x x))))) (neg.f64 (neg.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (*.f64 x x)) #s(literal 732297721/20079361 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) #s(literal 732297721/20079361 binary64)) (+.f64 #s(literal 19816708627981/89975616641 binary64) (/.f64 #s(literal -4502193042845904546911256576/8095611589928196122881 binary64) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) |
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(*.f64 (+.f64 #s(literal 19816708627981/89975616641 binary64) (/.f64 #s(literal -4502193042845904546911256576/8095611589928196122881 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) #s(literal 732297721/20079361 binary64)))) |
(*.f64 (-.f64 #s(literal 732297721/20079361 binary64) (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -20079361/1651231776 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -20079361/1651231776 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal -20079361/1651231776 binary64))))) |
(/.f64 #s(literal -1651231776/20079361 binary64) x) |
(/.f64 #s(literal -1651231776/20079361 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 1651231776/20079361 binary64) (neg.f64 x)) |
(/.f64 #s(literal 1651231776/20079361 binary64) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal -20079361/1651231776 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x #s(literal -20079361/1651231776 binary64)) #s(literal 1 binary64)))) |
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(pow.f64 (/.f64 (*.f64 x #s(literal -20079361/1651231776 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) |
(*.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1651231776/20079361 binary64)) |
| 1× | egg-herbie |
| 10 108× | accelerator-lowering-fma.f32 |
| 10 108× | accelerator-lowering-fma.f64 |
| 3 314× | *-lowering-*.f32 |
| 3 314× | *-lowering-*.f64 |
| 2 598× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 191 | 954 |
| 1 | 523 | 908 |
| 2 | 1263 | 876 |
| 3 | 3591 | 832 |
| 0 | 8170 | 740 |
| 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 (* -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)) |
230753/100000 |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(* 1900161040244073/1000000000000000 (pow x 2)) |
(* (pow x 2) (- 1900161040244073/1000000000000000 (* 20191289437/10000000000 (/ 1 x)))) |
(* (pow x 2) (- (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 20191289437/10000000000 (/ 1 x)))) |
(* (pow x 2) (- (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 20191289437/10000000000 (/ 1 x)))) |
(* 1900161040244073/1000000000000000 (pow x 2)) |
(* (pow x 2) (- 1900161040244073/1000000000000000 (* 20191289437/10000000000 (/ 1 x)))) |
(* (pow x 2) (+ 1900161040244073/1000000000000000 (* -1 (/ (- 20191289437/10000000000 (* 230753/100000 (/ 1 x))) x)))) |
(* (pow x 2) (+ 1900161040244073/1000000000000000 (* -1 (/ (- 20191289437/10000000000 (* 230753/100000 (/ 1 x))) x)))) |
-20191289437/10000000000 |
(- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000) |
(- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000) |
(- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000) |
(* 1900161040244073/1000000000000000 x) |
(* x (- 1900161040244073/1000000000000000 (* 20191289437/10000000000 (/ 1 x)))) |
(* x (- 1900161040244073/1000000000000000 (* 20191289437/10000000000 (/ 1 x)))) |
(* x (- 1900161040244073/1000000000000000 (* 20191289437/10000000000 (/ 1 x)))) |
(* 1900161040244073/1000000000000000 x) |
(* -1 (* x (- (* 20191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))) |
(* -1 (* x (- (* 20191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))) |
(* -1 (* x (- (* 20191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))) |
(/ 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) |
| 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))))) |
(-.f64 x (+.f64 #s(literal 27061/99229 binary64) (/.f64 (+.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 #s(literal -2019128943700000/977047873985989 binary64) 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 (-.f64 #s(literal -27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- 20191289437/9846394441 (* 2019128943700000/977047873985989 (/ 1 x))) x)) 27061/99229) x)) 1))) |
(-.f64 x (+.f64 #s(literal 27061/99229 binary64) (/.f64 (+.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 #s(literal -2019128943700000/977047873985989 binary64) x)) x))) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 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)) |
(* x (+ 99229/100000 (/ 1 x))) |
(fma.f64 x #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)) |
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 (* -20191289437/10000000000 x)) |
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
(* -20191289437/10000000000 x) |
(*.f64 x #s(literal -20191289437/10000000000 binary64)) |
(* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000)) |
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
(* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000)) |
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
(* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000)) |
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
(* -20191289437/10000000000 x) |
(*.f64 x #s(literal -20191289437/10000000000 binary64)) |
(* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x))))) |
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
(* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x))))) |
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
(* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x))))) |
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* -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))))) |
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))))) |
(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) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000)) |
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000)) |
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 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)) |
(* 1900161040244073/1000000000000000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))) |
(* (pow x 2) (- 1900161040244073/1000000000000000 (* 20191289437/10000000000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64))) |
(* (pow x 2) (- (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 20191289437/10000000000 (/ 1 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(* (pow x 2) (- (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 20191289437/10000000000 (/ 1 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(* 1900161040244073/1000000000000000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))) |
(* (pow x 2) (- 1900161040244073/1000000000000000 (* 20191289437/10000000000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64))) |
(* (pow x 2) (+ 1900161040244073/1000000000000000 (* -1 (/ (- 20191289437/10000000000 (* 230753/100000 (/ 1 x))) x)))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(* (pow x 2) (+ 1900161040244073/1000000000000000 (* -1 (/ (- 20191289437/10000000000 (* 230753/100000 (/ 1 x))) x)))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
-20191289437/10000000000 |
#s(literal -20191289437/10000000000 binary64) |
(- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000) |
(fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) |
(- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000) |
(fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) |
(- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000) |
(fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) |
(* 1900161040244073/1000000000000000 x) |
(*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)) |
(* x (- 1900161040244073/1000000000000000 (* 20191289437/10000000000 (/ 1 x)))) |
(fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) |
(* x (- 1900161040244073/1000000000000000 (* 20191289437/10000000000 (/ 1 x)))) |
(fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) |
(* x (- 1900161040244073/1000000000000000 (* 20191289437/10000000000 (/ 1 x)))) |
(fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) |
(* 1900161040244073/1000000000000000 x) |
(*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)) |
(* -1 (* x (- (* 20191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))) |
(fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) |
(* -1 (* x (- (* 20191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))) |
(fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) |
(* -1 (* x (- (* 20191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))) |
(fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 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 (neg.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(+.f64 x (neg.f64 (/.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 (neg.f64 (/.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 (neg.f64 (/.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) |
Compiled 12 187 to 1 497 computations (87.7% saved)
19 alts after pruning (10 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 555 | 5 | 560 |
| Fresh | 0 | 5 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 556 | 19 | 575 |
| Status | Accuracy | Program |
|---|---|---|
| 55.8% | (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)) | |
| 54.5% | (fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) | |
| ✓ | 60.7% | (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
| ✓ | 55.8% | (-.f64 x (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))) |
| ✓ | 54.5% | (-.f64 x (fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))) |
| ✓ | 60.8% | (-.f64 x (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) |
| 76.5% | (-.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))))) | |
| ▶ | 46.4% | (-.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)))) |
| ✓ | 98.1% | (-.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)))) |
| 47.8% | (-.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))))) | |
| 47.3% | (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 x #s(literal 99229/100000 binary64)))) | |
| ▶ | 47.6% | (-.f64 x (/.f64 (*.f64 x #s(literal 27061/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) |
| ✓ | 47.7% | (-.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) |
| ▶ | 47.3% | (-.f64 x (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x))) |
| ▶ | 97.2% | (-.f64 x #s(literal 230753/100000 binary64)) |
| ▶ | 54.2% | (-.f64 x #s(literal 27061/99229 binary64)) |
| ✓ | 48.0% | x |
| ✓ | 53.4% | #s(literal -230753/100000 binary64) |
Compiled 280 to 202 computations (27.9% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.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 99229/100000 binary64) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 27061/100000 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x #s(literal 27061/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) |
| ✓ | cost-diff | 128 | (-.f64 x (/.f64 (*.f64 x #s(literal 27061/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 20191289437/9846394441 binary64) x) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)) |
| ✓ | cost-diff | 0 | (-.f64 x (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x))) |
| ✓ | cost-diff | 0 | (-.f64 x #s(literal 27061/99229 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 x #s(literal 230753/100000 binary64)) |
| 9 224× | accelerator-lowering-fma.f32 |
| 9 224× | accelerator-lowering-fma.f64 |
| 2 378× | *-lowering-*.f32 |
| 2 378× | *-lowering-*.f64 |
| 1 672× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 91 |
| 1 | 49 | 91 |
| 2 | 88 | 91 |
| 3 | 173 | 91 |
| 4 | 314 | 91 |
| 5 | 537 | 91 |
| 6 | 865 | 87 |
| 7 | 1874 | 87 |
| 8 | 3249 | 87 |
| 9 | 4171 | 87 |
| 10 | 4859 | 87 |
| 11 | 5492 | 87 |
| 12 | 6300 | 87 |
| 13 | 7173 | 87 |
| 14 | 7606 | 87 |
| 0 | 8196 | 82 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- x 230753/100000) |
x |
230753/100000 |
(- x 27061/99229) |
x |
27061/99229 |
(- x (+ 27061/99229 (/ 20191289437/9846394441 x))) |
x |
(+ 27061/99229 (/ 20191289437/9846394441 x)) |
27061/99229 |
(/ 20191289437/9846394441 x) |
20191289437/9846394441 |
(- x (/ (* x 27061/100000) (+ (* x 99229/100000) 1))) |
x |
(/ (* x 27061/100000) (+ (* x 99229/100000) 1)) |
(* x 27061/100000) |
27061/100000 |
(+ (* x 99229/100000) 1) |
99229/100000 |
1 |
(- 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) |
(+.f64 x #s(literal -230753/100000 binary64)) |
x |
230753/100000 |
#s(literal 230753/100000 binary64) |
(- x 27061/99229) |
(+.f64 x #s(literal -27061/99229 binary64)) |
x |
27061/99229 |
#s(literal 27061/99229 binary64) |
(- x (+ 27061/99229 (/ 20191289437/9846394441 x))) |
(+.f64 x (+.f64 #s(literal -27061/99229 binary64) (/.f64 #s(literal -20191289437/9846394441 binary64) x))) |
x |
(+ 27061/99229 (/ 20191289437/9846394441 x)) |
(+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)) |
27061/99229 |
#s(literal 27061/99229 binary64) |
(/ 20191289437/9846394441 x) |
(/.f64 #s(literal 20191289437/9846394441 binary64) x) |
20191289437/9846394441 |
#s(literal 20191289437/9846394441 binary64) |
(- x (/ (* x 27061/100000) (+ (* x 99229/100000) 1))) |
(fma.f64 x (/.f64 #s(literal 27061/100000 binary64) (fma.f64 x #s(literal -99229/100000 binary64) #s(literal -1 binary64))) x) |
x |
(/ (* x 27061/100000) (+ (* x 99229/100000) 1)) |
(/.f64 (*.f64 x #s(literal 27061/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) |
(* x 27061/100000) |
(*.f64 x #s(literal 27061/100000 binary64)) |
27061/100000 |
#s(literal 27061/100000 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 27061/4481) -1651231776/20079361) (* x x))) |
(+.f64 x (/.f64 (fma.f64 x #s(literal -27061/4481 binary64) #s(literal 1651231776/20079361 binary64)) (*.f64 x x))) |
x |
(/ (+ (* x 27061/4481) -1651231776/20079361) (* x x)) |
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
(+ (* 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) |
(*.f64 x x) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) |
| ✓ | accuracy | 99.7% | (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) |
| ✓ | accuracy | 78.6% | (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (/.f64 (*.f64 x #s(literal 27061/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.8% | (-.f64 x (/.f64 (*.f64 x #s(literal 27061/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) |
| ✓ | accuracy | 99.4% | (*.f64 x #s(literal 27061/100000 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 x (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 20191289437/9846394441 binary64) x) |
| ✓ | accuracy | 100.0% | (-.f64 x #s(literal 27061/99229 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 x #s(literal 230753/100000 binary64)) |
| 63.0ms | 256× | 0 | valid |
Compiled 87 to 26 computations (70.1% saved)
const: 20.0ms (47.5% of total)ival-mult: 8.0ms (19% of total)ival-sub: 6.0ms (14.2% of total)ival-div: 5.0ms (11.9% of total)ival-add: 3.0ms (7.1% 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)> |
#<alt (- x 27061/99229)> |
#<alt (- x (+ 27061/99229 (/ 20191289437/9846394441 x)))> |
#<alt (+ 27061/99229 (/ 20191289437/9846394441 x))> |
#<alt (/ 20191289437/9846394441 x)> |
#<alt (- x (/ (* x 27061/100000) (+ (* x 99229/100000) 1)))> |
#<alt (/ (* x 27061/100000) (+ (* x 99229/100000) 1))> |
#<alt (* x 27061/100000)> |
#<alt (+ (* x 99229/100000) 1)> |
#<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 (- x 230753/100000)> |
#<alt (- x 230753/100000)> |
#<alt (- x 230753/100000)> |
#<alt x> |
#<alt (* x (- 1 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (- 1 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (- 1 (* 230753/100000 (/ 1 x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 1)))> |
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 1)))> |
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 1)))> |
#<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 (/ -20191289437/9846394441 x)> |
#<alt (/ (- (* -27061/99229 x) 20191289437/9846394441) x)> |
#<alt (/ (- (* x (- x 27061/99229)) 20191289437/9846394441) x)> |
#<alt (/ (- (* x (- x 27061/99229)) 20191289437/9846394441) x)> |
#<alt x> |
#<alt (* x (- 1 (* 27061/99229 (/ 1 x))))> |
#<alt (* x (+ 1 (* -1 (/ (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) x))))> |
#<alt (* x (+ 1 (* -1 (/ (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) x))))> |
#<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 (- (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2))) 1)))> |
#<alt (/ 20191289437/9846394441 x)> |
#<alt (/ (+ 20191289437/9846394441 (* 27061/99229 x)) x)> |
#<alt (/ (+ 20191289437/9846394441 (* 27061/99229 x)) x)> |
#<alt (/ (+ 20191289437/9846394441 (* 27061/99229 x)) x)> |
#<alt 27061/99229> |
#<alt (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))> |
#<alt (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))> |
#<alt (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))> |
#<alt 27061/99229> |
#<alt (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))> |
#<alt (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))> |
#<alt (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))> |
#<alt (/ 20191289437/9846394441 x)> |
#<alt (/ 20191289437/9846394441 x)> |
#<alt (/ 20191289437/9846394441 x)> |
#<alt (/ 20191289437/9846394441 x)> |
#<alt (/ 20191289437/9846394441 x)> |
#<alt (/ 20191289437/9846394441 x)> |
#<alt (/ 20191289437/9846394441 x)> |
#<alt (/ 20191289437/9846394441 x)> |
#<alt (/ 20191289437/9846394441 x)> |
#<alt (/ 20191289437/9846394441 x)> |
#<alt (/ 20191289437/9846394441 x)> |
#<alt (/ 20191289437/9846394441 x)> |
#<alt (* 72939/100000 x)> |
#<alt (* x (+ 72939/100000 (* 2685235969/10000000000 x)))> |
#<alt (* x (+ 72939/100000 (* x (+ 2685235969/10000000000 (* -266453279967901/1000000000000000 x)))))> |
#<alt (* x (+ 72939/100000 (* x (+ 2685235969/10000000000 (* x (- (* 26439892517934848329/100000000000000000000 x) 266453279967901/1000000000000000))))))> |
#<alt x> |
#<alt (* x (- 1 (* 27061/99229 (/ 1 x))))> |
#<alt (* x (- (+ 1 (/ 2706100000/9846394441 (pow x 2))) (* 27061/99229 (/ 1 x))))> |
#<alt (* x (- (+ 1 (/ 2706100000/9846394441 (pow x 2))) (+ (* 27061/99229 (/ 1 x)) (* 270610000000000/977047873985989 (/ 1 (pow x 3))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 27061/99229 (/ 1 x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* 2706100000/9846394441 (/ 1 x)) 27061/99229) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 270610000000000/977047873985989 (/ 1 x)) 2706100000/9846394441) x)) 27061/99229) x)) 1)))> |
#<alt (* 27061/100000 x)> |
#<alt (* x (+ 27061/100000 (* -2685235969/10000000000 x)))> |
#<alt (* x (+ 27061/100000 (* x (- (* 266453279967901/1000000000000000 x) 2685235969/10000000000))))> |
#<alt (* x (+ 27061/100000 (* x (- (* x (+ 266453279967901/1000000000000000 (* -26439892517934848329/100000000000000000000 x))) 2685235969/10000000000))))> |
#<alt 27061/99229> |
#<alt (- 27061/99229 (* 2706100000/9846394441 (/ 1 x)))> |
#<alt (- (+ 27061/99229 (/ 270610000000000/977047873985989 (pow x 2))) (* 2706100000/9846394441 (/ 1 x)))> |
#<alt (- (+ 27061/99229 (/ 270610000000000/977047873985989 (pow x 2))) (+ (* 2706100000/9846394441 (/ 1 x)) (* 27061000000000000000/96951483487755702481 (/ 1 (pow x 3)))))> |
#<alt 27061/99229> |
#<alt (- 27061/99229 (* 2706100000/9846394441 (/ 1 x)))> |
#<alt (+ 27061/99229 (* -1 (/ (- 2706100000/9846394441 (* 270610000000000/977047873985989 (/ 1 x))) x)))> |
#<alt (+ 27061/99229 (* -1 (/ (+ 2706100000/9846394441 (* -1 (/ (- 270610000000000/977047873985989 (* 27061000000000000000/96951483487755702481 (/ 1 x))) x))) 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 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 (/ 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 27061/100000) (+ (* x 99229/100000) 1)) |
| 2.0ms | x | @ | 0 | (- x (/ (* x 27061/100000) (+ (* x 99229/100000) 1))) |
| 0.0ms | x | @ | -inf | (/ (* x 27061/100000) (+ (* x 99229/100000) 1)) |
| 0.0ms | x | @ | 0 | (- x (+ 27061/99229 (/ 20191289437/9846394441 x))) |
| 0.0ms | x | @ | 0 | (/ 20191289437/9846394441 x) |
| 1× | batch-egg-rewrite |
| 4 794× | /-lowering-/.f32 |
| 4 794× | /-lowering-/.f64 |
| 4 542× | accelerator-lowering-fma.f32 |
| 4 542× | accelerator-lowering-fma.f64 |
| 4 538× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 77 |
| 1 | 165 | 77 |
| 2 | 1488 | 77 |
| 0 | 8753 | 70 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- x 230753/100000) |
(- x 27061/99229) |
(- x (+ 27061/99229 (/ 20191289437/9846394441 x))) |
(+ 27061/99229 (/ 20191289437/9846394441 x)) |
(/ 20191289437/9846394441 x) |
(- x (/ (* x 27061/100000) (+ (* x 99229/100000) 1))) |
(/ (* x 27061/100000) (+ (* x 99229/100000) 1)) |
(* x 27061/100000) |
(+ (* x 99229/100000) 1) |
(- 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 #s(literal -230753/100000 binary64)) |
(+.f64 #s(literal -230753/100000 binary64) x) |
(-.f64 x #s(literal 230753/100000 binary64)) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (fma.f64 x #s(literal 230753/100000 binary64) #s(literal 53246947009/10000000000 binary64)))) (/.f64 #s(literal 12286892763167777/1000000000000000 binary64) (fma.f64 x x (fma.f64 x #s(literal 230753/100000 binary64) #s(literal 53246947009/10000000000 binary64))))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 230753/100000 binary64))) (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 x #s(literal 230753/100000 binary64)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x #s(literal -230753/100000 binary64))))) (/.f64 #s(literal 12286892763167777/1000000000000000 binary64) (fma.f64 x x (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x #s(literal -230753/100000 binary64)))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -230753/100000 binary64))) (/.f64 #s(literal 53246947009/10000000000 binary64) (-.f64 x #s(literal -230753/100000 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 x #s(literal 230753/100000 binary64) #s(literal 53246947009/10000000000 binary64))) (fma.f64 x (*.f64 x x) #s(literal -12286892763167777/1000000000000000 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 230753/100000 binary64)) (fma.f64 x x #s(literal -53246947009/10000000000 binary64)))) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -12286892763167777/1000000000000000 binary64)) (fma.f64 x x (fma.f64 x #s(literal 230753/100000 binary64) #s(literal 53246947009/10000000000 binary64)))) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -12286892763167777/1000000000000000 binary64)) (fma.f64 x x (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x #s(literal -230753/100000 binary64))))) |
(/.f64 (fma.f64 x x #s(literal -53246947009/10000000000 binary64)) (+.f64 x #s(literal 230753/100000 binary64))) |
(/.f64 (fma.f64 x x #s(literal -53246947009/10000000000 binary64)) (-.f64 x #s(literal -230753/100000 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (fma.f64 x #s(literal 230753/100000 binary64) #s(literal 53246947009/10000000000 binary64))) (fma.f64 x (*.f64 x x) #s(literal -12286892763167777/1000000000000000 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal 230753/100000 binary64)) (fma.f64 x x #s(literal -53246947009/10000000000 binary64))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -12286892763167777/1000000000000000 binary64))) (neg.f64 (fma.f64 x x (fma.f64 x #s(literal 230753/100000 binary64) #s(literal 53246947009/10000000000 binary64))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -12286892763167777/1000000000000000 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x #s(literal -230753/100000 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -53246947009/10000000000 binary64))) (neg.f64 (+.f64 x #s(literal 230753/100000 binary64)))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -53246947009/10000000000 binary64))) (neg.f64 (-.f64 x #s(literal -230753/100000 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (fma.f64 x #s(literal 230753/100000 binary64) #s(literal 53246947009/10000000000 binary64)))) (*.f64 (fma.f64 x x (fma.f64 x #s(literal 230753/100000 binary64) #s(literal 53246947009/10000000000 binary64))) #s(literal 12286892763167777/1000000000000000 binary64))) (*.f64 (fma.f64 x x (fma.f64 x #s(literal 230753/100000 binary64) #s(literal 53246947009/10000000000 binary64))) (fma.f64 x x (fma.f64 x #s(literal 230753/100000 binary64) #s(literal 53246947009/10000000000 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal 230753/100000 binary64))) (*.f64 (+.f64 x #s(literal 230753/100000 binary64)) #s(literal 53246947009/10000000000 binary64))) (*.f64 (+.f64 x #s(literal 230753/100000 binary64)) (+.f64 x #s(literal 230753/100000 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -12286892763167777/1000000000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (fma.f64 x #s(literal 230753/100000 binary64) #s(literal 53246947009/10000000000 binary64)))))) |
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(*.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 (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 #s(literal -1 binary64) x) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (neg.f64 x))) |
(*.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 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 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(*.f64 x x) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
| 1× | egg-herbie |
| 9 684× | accelerator-lowering-fma.f32 |
| 9 684× | accelerator-lowering-fma.f64 |
| 3 276× | *-lowering-*.f32 |
| 3 276× | *-lowering-*.f64 |
| 2 788× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 183 | 824 |
| 1 | 509 | 806 |
| 2 | 1187 | 756 |
| 3 | 3334 | 718 |
| 4 | 7819 | 718 |
| 0 | 8236 | 681 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-230753/100000 |
(- x 230753/100000) |
(- x 230753/100000) |
(- x 230753/100000) |
x |
(* x (- 1 (* 230753/100000 (/ 1 x)))) |
(* x (- 1 (* 230753/100000 (/ 1 x)))) |
(* x (- 1 (* 230753/100000 (/ 1 x)))) |
x |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 1))) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 1))) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 1))) |
-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))) |
(/ -20191289437/9846394441 x) |
(/ (- (* -27061/99229 x) 20191289437/9846394441) x) |
(/ (- (* x (- x 27061/99229)) 20191289437/9846394441) x) |
(/ (- (* x (- x 27061/99229)) 20191289437/9846394441) x) |
x |
(* x (- 1 (* 27061/99229 (/ 1 x)))) |
(* x (+ 1 (* -1 (/ (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) x)))) |
(* x (+ 1 (* -1 (/ (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) x)))) |
x |
(* -1 (* x (- (* 27061/99229 (/ 1 x)) 1))) |
(* -1 (* x (- (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2))) 1))) |
(* -1 (* x (- (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2))) 1))) |
(/ 20191289437/9846394441 x) |
(/ (+ 20191289437/9846394441 (* 27061/99229 x)) x) |
(/ (+ 20191289437/9846394441 (* 27061/99229 x)) x) |
(/ (+ 20191289437/9846394441 (* 27061/99229 x)) x) |
27061/99229 |
(+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) |
(+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) |
(+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) |
27061/99229 |
(+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) |
(+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) |
(+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) |
(/ 20191289437/9846394441 x) |
(/ 20191289437/9846394441 x) |
(/ 20191289437/9846394441 x) |
(/ 20191289437/9846394441 x) |
(/ 20191289437/9846394441 x) |
(/ 20191289437/9846394441 x) |
(/ 20191289437/9846394441 x) |
(/ 20191289437/9846394441 x) |
(/ 20191289437/9846394441 x) |
(/ 20191289437/9846394441 x) |
(/ 20191289437/9846394441 x) |
(/ 20191289437/9846394441 x) |
(* 72939/100000 x) |
(* x (+ 72939/100000 (* 2685235969/10000000000 x))) |
(* x (+ 72939/100000 (* x (+ 2685235969/10000000000 (* -266453279967901/1000000000000000 x))))) |
(* x (+ 72939/100000 (* x (+ 2685235969/10000000000 (* x (- (* 26439892517934848329/100000000000000000000 x) 266453279967901/1000000000000000)))))) |
x |
(* x (- 1 (* 27061/99229 (/ 1 x)))) |
(* x (- (+ 1 (/ 2706100000/9846394441 (pow x 2))) (* 27061/99229 (/ 1 x)))) |
(* x (- (+ 1 (/ 2706100000/9846394441 (pow x 2))) (+ (* 27061/99229 (/ 1 x)) (* 270610000000000/977047873985989 (/ 1 (pow x 3)))))) |
x |
(* -1 (* x (- (* 27061/99229 (/ 1 x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 2706100000/9846394441 (/ 1 x)) 27061/99229) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 270610000000000/977047873985989 (/ 1 x)) 2706100000/9846394441) x)) 27061/99229) x)) 1))) |
(* 27061/100000 x) |
(* x (+ 27061/100000 (* -2685235969/10000000000 x))) |
(* x (+ 27061/100000 (* x (- (* 266453279967901/1000000000000000 x) 2685235969/10000000000)))) |
(* x (+ 27061/100000 (* x (- (* x (+ 266453279967901/1000000000000000 (* -26439892517934848329/100000000000000000000 x))) 2685235969/10000000000)))) |
27061/99229 |
(- 27061/99229 (* 2706100000/9846394441 (/ 1 x))) |
(- (+ 27061/99229 (/ 270610000000000/977047873985989 (pow x 2))) (* 2706100000/9846394441 (/ 1 x))) |
(- (+ 27061/99229 (/ 270610000000000/977047873985989 (pow x 2))) (+ (* 2706100000/9846394441 (/ 1 x)) (* 27061000000000000000/96951483487755702481 (/ 1 (pow x 3))))) |
27061/99229 |
(- 27061/99229 (* 2706100000/9846394441 (/ 1 x))) |
(+ 27061/99229 (* -1 (/ (- 2706100000/9846394441 (* 270610000000000/977047873985989 (/ 1 x))) x))) |
(+ 27061/99229 (* -1 (/ (+ 2706100000/9846394441 (* -1 (/ (- 270610000000000/977047873985989 (* 27061000000000000000/96951483487755702481 (/ 1 x))) x))) 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) |
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))) |
(/ 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) |
(- x 230753/100000) |
(+.f64 x #s(literal -230753/100000 binary64)) |
(- x 230753/100000) |
(+.f64 x #s(literal -230753/100000 binary64)) |
(- x 230753/100000) |
(+.f64 x #s(literal -230753/100000 binary64)) |
x |
(* x (- 1 (* 230753/100000 (/ 1 x)))) |
(+.f64 x #s(literal -230753/100000 binary64)) |
(* x (- 1 (* 230753/100000 (/ 1 x)))) |
(+.f64 x #s(literal -230753/100000 binary64)) |
(* x (- 1 (* 230753/100000 (/ 1 x)))) |
(+.f64 x #s(literal -230753/100000 binary64)) |
x |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 1))) |
(+.f64 x #s(literal -230753/100000 binary64)) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 1))) |
(+.f64 x #s(literal -230753/100000 binary64)) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 1))) |
(+.f64 x #s(literal -230753/100000 binary64)) |
-27061/99229 |
#s(literal -27061/99229 binary64) |
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(- x 27061/99229) |
(+.f64 x #s(literal -27061/99229 binary64)) |
(- x 27061/99229) |
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(* x (- 1 (* 27061/99229 (/ 1 x)))) |
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(/ (- (* x (- x 27061/99229)) 20191289437/9846394441) x) |
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(/ (- (* x (- x 27061/99229)) 20191289437/9846394441) x) |
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(* x (- 1 (* 27061/99229 (/ 1 x)))) |
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(* x (+ 1 (* -1 (/ (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) x)))) |
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(/.f64 #s(literal 20191289437/9846394441 binary64) x) |
(/ (+ 20191289437/9846394441 (* 27061/99229 x)) x) |
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(/.f64 (fma.f64 x #s(literal 27061/99229 binary64) #s(literal 20191289437/9846394441 binary64)) x) |
27061/99229 |
#s(literal 27061/99229 binary64) |
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27061/99229 |
#s(literal 27061/99229 binary64) |
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(+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) |
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(/ 20191289437/9846394441 x) |
(/.f64 #s(literal 20191289437/9846394441 binary64) x) |
(/ 20191289437/9846394441 x) |
(/.f64 #s(literal 20191289437/9846394441 binary64) x) |
(/ 20191289437/9846394441 x) |
(/.f64 #s(literal 20191289437/9846394441 binary64) x) |
(/ 20191289437/9846394441 x) |
(/.f64 #s(literal 20191289437/9846394441 binary64) x) |
(/ 20191289437/9846394441 x) |
(/.f64 #s(literal 20191289437/9846394441 binary64) x) |
(/ 20191289437/9846394441 x) |
(/.f64 #s(literal 20191289437/9846394441 binary64) x) |
(/ 20191289437/9846394441 x) |
(/.f64 #s(literal 20191289437/9846394441 binary64) x) |
(/ 20191289437/9846394441 x) |
(/.f64 #s(literal 20191289437/9846394441 binary64) x) |
(/ 20191289437/9846394441 x) |
(/.f64 #s(literal 20191289437/9846394441 binary64) x) |
(/ 20191289437/9846394441 x) |
(/.f64 #s(literal 20191289437/9846394441 binary64) x) |
(/ 20191289437/9846394441 x) |
(/.f64 #s(literal 20191289437/9846394441 binary64) x) |
(/ 20191289437/9846394441 x) |
(/.f64 #s(literal 20191289437/9846394441 binary64) x) |
(* 72939/100000 x) |
(*.f64 x #s(literal 72939/100000 binary64)) |
(* x (+ 72939/100000 (* 2685235969/10000000000 x))) |
(*.f64 x (fma.f64 x #s(literal 2685235969/10000000000 binary64) #s(literal 72939/100000 binary64))) |
(* x (+ 72939/100000 (* x (+ 2685235969/10000000000 (* -266453279967901/1000000000000000 x))))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -266453279967901/1000000000000000 binary64) #s(literal 2685235969/10000000000 binary64)) #s(literal 72939/100000 binary64))) |
(* x (+ 72939/100000 (* x (+ 2685235969/10000000000 (* x (- (* 26439892517934848329/100000000000000000000 x) 266453279967901/1000000000000000)))))) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 26439892517934848329/100000000000000000000 binary64) #s(literal -266453279967901/1000000000000000 binary64)) #s(literal 2685235969/10000000000 binary64)) #s(literal 72939/100000 binary64))) |
x |
(* x (- 1 (* 27061/99229 (/ 1 x)))) |
(+.f64 x #s(literal -27061/99229 binary64)) |
(* x (- (+ 1 (/ 2706100000/9846394441 (pow x 2))) (* 27061/99229 (/ 1 x)))) |
(+.f64 x (+.f64 #s(literal -27061/99229 binary64) (/.f64 #s(literal 2706100000/9846394441 binary64) x))) |
(* x (- (+ 1 (/ 2706100000/9846394441 (pow x 2))) (+ (* 27061/99229 (/ 1 x)) (* 270610000000000/977047873985989 (/ 1 (pow x 3)))))) |
(+.f64 x (+.f64 #s(literal -27061/99229 binary64) (/.f64 (-.f64 #s(literal 2706100000/9846394441 binary64) (/.f64 #s(literal 270610000000000/977047873985989 binary64) x)) x))) |
x |
(* -1 (* x (- (* 27061/99229 (/ 1 x)) 1))) |
(+.f64 x #s(literal -27061/99229 binary64)) |
(* -1 (* x (- (* -1 (/ (- (* 2706100000/9846394441 (/ 1 x)) 27061/99229) x)) 1))) |
(+.f64 x (+.f64 #s(literal -27061/99229 binary64) (/.f64 #s(literal 2706100000/9846394441 binary64) x))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 270610000000000/977047873985989 (/ 1 x)) 2706100000/9846394441) x)) 27061/99229) x)) 1))) |
(+.f64 x (+.f64 #s(literal -27061/99229 binary64) (/.f64 (-.f64 #s(literal 2706100000/9846394441 binary64) (/.f64 #s(literal 270610000000000/977047873985989 binary64) x)) x))) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* x (+ 27061/100000 (* -2685235969/10000000000 x))) |
(*.f64 x (fma.f64 x #s(literal -2685235969/10000000000 binary64) #s(literal 27061/100000 binary64))) |
(* x (+ 27061/100000 (* x (- (* 266453279967901/1000000000000000 x) 2685235969/10000000000)))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 266453279967901/1000000000000000 binary64) #s(literal -2685235969/10000000000 binary64)) #s(literal 27061/100000 binary64))) |
(* x (+ 27061/100000 (* x (- (* x (+ 266453279967901/1000000000000000 (* -26439892517934848329/100000000000000000000 x))) 2685235969/10000000000)))) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -26439892517934848329/100000000000000000000 binary64) #s(literal 266453279967901/1000000000000000 binary64)) #s(literal -2685235969/10000000000 binary64)) #s(literal 27061/100000 binary64))) |
27061/99229 |
#s(literal 27061/99229 binary64) |
(- 27061/99229 (* 2706100000/9846394441 (/ 1 x))) |
(+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal -2706100000/9846394441 binary64) x)) |
(- (+ 27061/99229 (/ 270610000000000/977047873985989 (pow x 2))) (* 2706100000/9846394441 (/ 1 x))) |
(+.f64 #s(literal 27061/99229 binary64) (/.f64 (+.f64 (/.f64 #s(literal 270610000000000/977047873985989 binary64) x) #s(literal -2706100000/9846394441 binary64)) x)) |
(- (+ 27061/99229 (/ 270610000000000/977047873985989 (pow x 2))) (+ (* 2706100000/9846394441 (/ 1 x)) (* 27061000000000000000/96951483487755702481 (/ 1 (pow x 3))))) |
(+.f64 #s(literal 27061/99229 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 270610000000000/977047873985989 binary64) (/.f64 #s(literal -27061000000000000000/96951483487755702481 binary64) x)) x) #s(literal -2706100000/9846394441 binary64)) x)) |
27061/99229 |
#s(literal 27061/99229 binary64) |
(- 27061/99229 (* 2706100000/9846394441 (/ 1 x))) |
(+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal -2706100000/9846394441 binary64) x)) |
(+ 27061/99229 (* -1 (/ (- 2706100000/9846394441 (* 270610000000000/977047873985989 (/ 1 x))) x))) |
(+.f64 #s(literal 27061/99229 binary64) (/.f64 (+.f64 (/.f64 #s(literal 270610000000000/977047873985989 binary64) x) #s(literal -2706100000/9846394441 binary64)) x)) |
(+ 27061/99229 (* -1 (/ (+ 2706100000/9846394441 (* -1 (/ (- 270610000000000/977047873985989 (* 27061000000000000000/96951483487755702481 (/ 1 x))) x))) x))) |
(+.f64 #s(literal 27061/99229 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 270610000000000/977047873985989 binary64) (/.f64 #s(literal -27061000000000000000/96951483487755702481 binary64) x)) x) #s(literal -2706100000/9846394441 binary64)) x)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 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)) |
(* x (+ 99229/100000 (/ 1 x))) |
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 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 (/.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 |
#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 13 252 to 1 615 computations (87.8% saved)
17 alts after pruning (6 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 603 | 2 | 605 |
| Fresh | 1 | 4 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 8 | 9 |
| Total | 607 | 17 | 624 |
| Status | Accuracy | Program |
|---|---|---|
| 55.8% | (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)) | |
| 54.5% | (fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) | |
| ✓ | 60.7% | (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
| ✓ | 55.8% | (-.f64 x (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))) |
| ✓ | 54.5% | (-.f64 x (fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))) |
| ✓ | 60.8% | (-.f64 x (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) |
| 76.5% | (-.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))))) | |
| ✓ | 46.4% | (-.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)))) |
| 47.8% | (-.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))))) | |
| ✓ | 47.7% | (-.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) |
| 47.7% | (-.f64 x (/.f64 #s(literal 20191289437/9846394441 binary64) x)) | |
| 47.3% | (-.f64 x (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal -2706100000/9846394441 binary64) x))) | |
| ✓ | 97.2% | (-.f64 x #s(literal 230753/100000 binary64)) |
| ✓ | 54.2% | (-.f64 x #s(literal 27061/99229 binary64)) |
| ✓ | 48.0% | x |
| ✓ | 53.4% | #s(literal -230753/100000 binary64) |
Compiled 379 to 201 computations (47% 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 -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(-.f64 x (/.f64 #s(literal 20191289437/9846394441 binary64) x)) |
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) |
(-.f64 x (fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))) |
(-.f64 x (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal -2706100000/9846394441 binary64) x))) |
(-.f64 x (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 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)) |
(-.f64 x (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))) |
(-.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 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 x #s(literal 99229/100000 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 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) |
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) |
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
(-.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))))) |
(-.f64 x (/.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))))) |
| Outputs |
|---|
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
2 calls:
| 7.0ms | x |
| 7.0ms | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
#s(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 -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(-.f64 x (/.f64 #s(literal 20191289437/9846394441 binary64) x)) |
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) |
(-.f64 x (fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))) |
(-.f64 x (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal -2706100000/9846394441 binary64) x))) |
(-.f64 x (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 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)) |
(-.f64 x (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))) |
(-.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 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 x #s(literal 99229/100000 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 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) |
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) |
| Outputs |
|---|
(-.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)))) |
2 calls:
| 104.0ms | (-.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)))) |
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 1 | x |
| 98.1% | 1 | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
Compiled 20 to 15 computations (25% saved)
| 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 -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(-.f64 x (/.f64 #s(literal 20191289437/9846394441 binary64) x)) |
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) |
(-.f64 x (fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))) |
(-.f64 x (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal -2706100000/9846394441 binary64) x))) |
(-.f64 x (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 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)) |
(-.f64 x (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))) |
(-.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 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 x #s(literal 99229/100000 binary64)))) |
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) |
| Outputs |
|---|
(-.f64 x #s(literal 230753/100000 binary64)) |
2 calls:
| 5.0ms | x |
| 5.0ms | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 1 | x |
| 97.2% | 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)) |
| Outputs |
|---|
x |
#s(literal -230753/100000 binary64) |
x |
2 calls:
| 7.0ms | (-.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 |
|---|---|---|
| 97.6% | 3 | x |
| 97.6% | 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 |
|---|---|---|
| 53.4% | 1 | x |
| 53.4% | 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 | -2.3075278951035476 | 21.47673601900671 |
| 0.0ms | -3.8521218398760655 | -2.3546149135382297 |
Compiled 21 to 18 computations (14.3% saved)
| 1× | egg-herbie |
| 104× | unsub-neg_binary64 |
| 94× | neg-mul-1_binary64 |
| 60× | *-commutative_binary64 |
| 52× | +-commutative_binary64 |
| 46× | distribute-rgt-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 72 |
| 1 | 50 | 72 |
| 2 | 74 | 72 |
| 3 | 99 | 72 |
| 4 | 134 | 72 |
| 5 | 159 | 72 |
| 6 | 231 | 72 |
| 7 | 342 | 72 |
| 8 | 365 | 72 |
| 9 | 375 | 72 |
| 10 | 376 | 72 |
| 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 (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 #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 -3 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 -2 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 (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 #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 -3 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 -2 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 -3 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 -2 binary64)) #s(literal -230753/100000 binary64) x)) |
#s(literal -230753/100000 binary64) |
| 9 758× | accelerator-lowering-fma.f32 |
| 9 758× | accelerator-lowering-fma.f64 |
| 9 368× | accelerator-lowering-fma.f32 |
| 9 368× | accelerator-lowering-fma.f64 |
| 6 906× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 64 |
| 1 | 84 | 64 |
| 2 | 730 | 64 |
| 0 | 8408 | 53 |
| 0 | 202 | 1010 |
| 1 | 594 | 980 |
| 2 | 1683 | 956 |
| 3 | 5077 | 954 |
| 0 | 8190 | 852 |
| 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 |
Compiled 125 to 70 computations (44% saved)
Compiled 182 to 90 computations (50.5% saved)
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