
Time bar (total: 8.9s)
| 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: 442.0ms (46.5% of total)ival-mult: 175.0ms (18.4% of total)ival-add: 157.0ms (16.5% of total)ival-div: 97.0ms (10.2% of total)ival-sub: 65.0ms (6.8% 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 |
|---|---|---|---|---|---|
| 57 | 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 |
| 78.0ms | 512× | 0 | valid |
Compiled 180 to 60 computations (66.7% saved)
const: 36.0ms (59.1% of total)ival-mult: 11.0ms (18.1% of total)ival-add: 7.0ms (11.5% of total)ival-div: 3.0ms (4.9% of total)ival-sub: 2.0ms (3.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
Compiled 18 to 14 computations (22.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
| ✓ | cost-diff | 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 | 99.8% | (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x) |
| ✓ | accuracy | 99.4% | (*.f64 x #s(literal 4481/100000 binary64)) |
| ✓ | accuracy | 99.4% | (*.f64 x #s(literal 27061/100000 binary64)) |
| ✓ | accuracy | 79.1% | (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))) |
| 36.0ms | 256× | 0 | valid |
Compiled 72 to 16 computations (77.8% saved)
const: 14.0ms (51.9% of total)ival-mult: 7.0ms (25.9% of total)ival-add: 3.0ms (11.1% of total)ival-div: 2.0ms (7.4% of total)ival-sub: 1.0ms (3.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ 230753/100000 (* x 27061/100000))> |
#<alt (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))> |
#<alt (+ 99229/100000 (* x 4481/100000))> |
#<alt (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))))> |
#<alt (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))> |
#<alt (* x 27061/100000)> |
#<alt (* x 4481/100000)> |
#<alt (* (+ 99229/100000 (* x 4481/100000)) x)> |
| Outputs |
|---|
#<alt 230753/100000> |
#<alt (+ 230753/100000 (* 27061/100000 x))> |
#<alt (+ 230753/100000 (* 27061/100000 x))> |
#<alt (+ 230753/100000 (* 27061/100000 x))> |
#<alt (* 27061/100000 x)> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* 27061/100000 x)> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt 1> |
#<alt (+ 1 (* 99229/100000 x))> |
#<alt (+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))> |
#<alt (+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))> |
#<alt (* 4481/100000 (pow x 2))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* 4481/100000 (pow x 2))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt 99229/100000> |
#<alt (+ 99229/100000 (* 4481/100000 x))> |
#<alt (+ 99229/100000 (* 4481/100000 x))> |
#<alt (+ 99229/100000 (* 4481/100000 x))> |
#<alt (* 4481/100000 x)> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* 4481/100000 x)> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt -230753/100000> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)> |
#<alt x> |
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))> |
#<alt 230753/100000> |
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))> |
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))> |
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))> |
#<alt (/ 27061/4481 x)> |
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)> |
#<alt (/ 27061/4481 x)> |
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 99229/100000 x)> |
#<alt (* x (+ 99229/100000 (* 4481/100000 x)))> |
#<alt (* x (+ 99229/100000 (* 4481/100000 x)))> |
#<alt (* x (+ 99229/100000 (* 4481/100000 x)))> |
#<alt (* 4481/100000 (pow x 2))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* 4481/100000 (pow x 2))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) |
| 1.0ms | 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 | (- 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 27061/100000) |
(* x 4481/100000) |
(* (+ 99229/100000 (* x 4481/100000)) x) |
| Outputs |
|---|
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) |
(+.f64 #s(literal 230753/100000 binary64) (neg.f64 (*.f64 x #s(literal -27061/100000 binary64)))) |
(+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 27061/100000 binary64)))) |
(+.f64 #s(literal 230753/100000 binary64) (*.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) |
(+.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))))) |
(+.f64 (neg.f64 (*.f64 x #s(literal -27061/100000 binary64))) #s(literal 230753/100000 binary64)) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 27061/100000 binary64))) #s(literal 230753/100000 binary64)) |
(+.f64 (*.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 1 binary64)) #s(literal 230753/100000 binary64)) |
(-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64))) |
(-.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))))) |
(-.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)) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 99229/100000 x) |
(* x (+ 99229/100000 (* 4481/100000 x))) |
(* x (+ 99229/100000 (* 4481/100000 x))) |
(* x (+ 99229/100000 (* 4481/100000 x))) |
(* 4481/100000 (pow x 2)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* 4481/100000 (pow x 2)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
| Outputs |
|---|
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* 27061/100000 x)) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* 27061/100000 x)) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* 27061/100000 x)) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 99229/100000 x)) |
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(* 4481/100000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(* 4481/100000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
99229/100000 |
#s(literal 99229/100000 binary64) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x)) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
(+.f64 x (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x) #s(literal -27061/4481 binary64)) x)) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x)) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
(+.f64 x (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x) #s(literal -27061/4481 binary64)) x)) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) |
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 (+.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal -151724043800704/89975616641 binary64)) x)) x)) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 (+.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal -151724043800704/89975616641 binary64)) x)) x)) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 27061/100000 x) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* 99229/100000 x) |
(*.f64 x #s(literal 99229/100000 binary64)) |
(* x (+ 99229/100000 (* 4481/100000 x))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* x (+ 99229/100000 (* 4481/100000 x))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* x (+ 99229/100000 (* 4481/100000 x))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* 4481/100000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* 4481/100000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
Compiled 18 059 to 2 017 computations (88.8% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 555 | 12 | 567 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 556 | 12 | 568 |
| Status | Accuracy | Program |
|---|---|---|
| 48.9% | (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) | |
| 47.4% | (fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) | |
| 54.9% | (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) | |
| ▶ | 54.9% | (-.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)))) | |
| 53.8% | (-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) | |
| 97.8% | (-.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)))) | |
| ▶ | 100.0% | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x #s(literal 99229/100000 binary64)) (fma.f64 x (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 1 binary64))))) |
| ▶ | 54.7% | (-.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) |
| ▶ | 97.0% | (-.f64 x #s(literal 230753/100000 binary64)) |
| 55.0% | x | |
| ▶ | 46.5% | #s(literal -230753/100000 binary64) |
Compiled 204 to 150 computations (26.5% saved)
| 1× | egg-herbie |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | 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 -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 | (-.f64 x #s(literal 230753/100000 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x #s(literal 99229/100000 binary64)) (fma.f64 x (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x #s(literal 99229/100000 binary64)) (fma.f64 x (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 1 binary64))))) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) |
| ✓ | cost-diff | 448 | (+.f64 (*.f64 x #s(literal 99229/100000 binary64)) (fma.f64 x (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 1 binary64))) |
| 1 784× | accelerator-lowering-fma.f32 |
| 1 784× | accelerator-lowering-fma.f64 |
| 728× | *-lowering-*.f32 |
| 728× | *-lowering-*.f64 |
| 408× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 105 |
| 1 | 49 | 99 |
| 2 | 91 | 97 |
| 3 | 160 | 97 |
| 4 | 293 | 97 |
| 5 | 553 | 97 |
| 6 | 984 | 97 |
| 7 | 1448 | 97 |
| 8 | 2045 | 97 |
| 9 | 2475 | 97 |
| 10 | 2551 | 97 |
| 11 | 2606 | 97 |
| 12 | 2632 | 97 |
| 13 | 2634 | 97 |
| 0 | 2634 | 85 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- x (/ (+ 230753/100000 (* x 27061/100000)) (+ (* x 99229/100000) (+ (* x (* x 4481/100000)) 1)))) |
x |
(/ (+ 230753/100000 (* x 27061/100000)) (+ (* x 99229/100000) (+ (* x (* x 4481/100000)) 1))) |
(+ 230753/100000 (* x 27061/100000)) |
230753/100000 |
(* x 27061/100000) |
27061/100000 |
(+ (* x 99229/100000) (+ (* x (* x 4481/100000)) 1)) |
(* x 99229/100000) |
99229/100000 |
(+ (* x (* x 4481/100000)) 1) |
(* x 4481/100000) |
4481/100000 |
1 |
-230753/100000 |
(- x 230753/100000) |
x |
230753/100000 |
(- x (+ (* x -20191289437/10000000000) 230753/100000)) |
x |
(+ (* x -20191289437/10000000000) 230753/100000) |
-20191289437/10000000000 |
230753/100000 |
(- x (/ 27061/4481 x)) |
x |
(/ 27061/4481 x) |
27061/4481 |
| Outputs |
|---|
(- x (/ (+ 230753/100000 (* x 27061/100000)) (+ (* x 99229/100000) (+ (* x (* x 4481/100000)) 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 |
(/ (+ 230753/100000 (* x 27061/100000)) (+ (* x 99229/100000) (+ (* x (* x 4481/100000)) 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))) |
(+ 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) |
(+ (* x 99229/100000) (+ (* x (* x 4481/100000)) 1)) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(* x 99229/100000) |
(*.f64 x #s(literal 99229/100000 binary64)) |
99229/100000 |
#s(literal 99229/100000 binary64) |
(+ (* x (* x 4481/100000)) 1) |
(fma.f64 x (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 1 binary64)) |
(* x 4481/100000) |
(*.f64 x #s(literal 4481/100000 binary64)) |
4481/100000 |
#s(literal 4481/100000 binary64) |
1 |
#s(literal 1 binary64) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- x 230753/100000) |
(+.f64 x #s(literal -230753/100000 binary64)) |
x |
230753/100000 |
#s(literal 230753/100000 binary64) |
(- 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 (/ 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) |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 27061/4481 binary64) x) |
| ✓ | accuracy | 99.9% | (-.f64 x (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) |
| ✓ | accuracy | 99.5% | (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 x #s(literal 230753/100000 binary64)) |
| ✓ | accuracy | 99.8% | (fma.f64 x (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.4% | (*.f64 x #s(literal 4481/100000 binary64)) |
| ✓ | accuracy | 99.4% | (*.f64 x #s(literal 27061/100000 binary64)) |
| ✓ | accuracy | 79.1% | (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x #s(literal 99229/100000 binary64)) (fma.f64 x (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 1 binary64)))) |
| 61.0ms | 256× | 0 | valid |
Compiled 101 to 26 computations (74.3% saved)
const: 20.0ms (46.7% of total)ival-mult: 8.0ms (18.7% of total)ival-add: 7.0ms (16.4% of total)ival-sub: 4.0ms (9.3% of total)ival-div: 3.0ms (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 99229/100000) (+ (* x (* x 4481/100000)) 1))> |
#<alt (+ 230753/100000 (* x 27061/100000))> |
#<alt (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ (* x 99229/100000) (+ (* x (* x 4481/100000)) 1))))> |
#<alt (/ (+ 230753/100000 (* x 27061/100000)) (+ (* x 99229/100000) (+ (* x (* x 4481/100000)) 1)))> |
#<alt (- x 230753/100000)> |
#<alt (- x (+ (* x -20191289437/10000000000) 230753/100000))> |
#<alt (+ (* x -20191289437/10000000000) 230753/100000)> |
#<alt (- x (/ 27061/4481 x))> |
#<alt (/ 27061/4481 x)> |
#<alt (* x 27061/100000)> |
#<alt (* x 4481/100000)> |
#<alt (+ (* x (* x 4481/100000)) 1)> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* 99229/100000 x))> |
#<alt (+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))> |
#<alt (+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))> |
#<alt (* 4481/100000 (pow x 2))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* 4481/100000 (pow x 2))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt 230753/100000> |
#<alt (+ 230753/100000 (* 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 -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 (- 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 -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 (/ -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 (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 27061/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt (* 4481/100000 x)> |
#<alt 1> |
#<alt (+ 1 (* 4481/100000 (pow x 2)))> |
#<alt (+ 1 (* 4481/100000 (pow x 2)))> |
#<alt (+ 1 (* 4481/100000 (pow x 2)))> |
#<alt (* 4481/100000 (pow x 2))> |
#<alt (* (pow x 2) (+ 4481/100000 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 4481/100000 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 4481/100000 (/ 1 (pow x 2))))> |
#<alt (* 4481/100000 (pow x 2))> |
#<alt (* (pow x 2) (+ 4481/100000 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 4481/100000 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 4481/100000 (/ 1 (pow x 2))))> |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (- x (+ (* x -20191289437/10000000000) 230753/100000)) |
| 0.0ms | x | @ | 0 | (/ 27061/4481 x) |
| 0.0ms | x | @ | 0 | (- x (/ 27061/4481 x)) |
| 0.0ms | x | @ | inf | (+ (* x (* x 4481/100000)) 1) |
| 0.0ms | x | @ | 0 | (+ (* x 99229/100000) (+ (* x (* x 4481/100000)) 1)) |
| 1× | batch-egg-rewrite |
| 5 092× | /-lowering-/.f32 |
| 5 092× | /-lowering-/.f64 |
| 4 950× | accelerator-lowering-fma.f32 |
| 4 950× | accelerator-lowering-fma.f64 |
| 4 242× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 88 |
| 1 | 152 | 82 |
| 2 | 1418 | 82 |
| 0 | 8545 | 73 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* x 99229/100000) (+ (* x (* x 4481/100000)) 1)) |
(+ 230753/100000 (* x 27061/100000)) |
(- x (/ (+ 230753/100000 (* x 27061/100000)) (+ (* x 99229/100000) (+ (* x (* x 4481/100000)) 1)))) |
(/ (+ 230753/100000 (* x 27061/100000)) (+ (* x 99229/100000) (+ (* x (* x 4481/100000)) 1))) |
(- x 230753/100000) |
(- x (+ (* x -20191289437/10000000000) 230753/100000)) |
(+ (* x -20191289437/10000000000) 230753/100000) |
(- x (/ 27061/4481 x)) |
(/ 27061/4481 x) |
(* x 27061/100000) |
(* x 4481/100000) |
(+ (* x (* x 4481/100000)) 1) |
| Outputs |
|---|
(+.f64 (*.f64 x #s(literal 99229/100000 binary64)) (fma.f64 #s(literal 4481/100000 binary64) (*.f64 x x) #s(literal 1 binary64))) |
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4481/100000 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4481/100000 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 20079361/10000000000 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4481/100000 binary64) (*.f64 x x)))))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 20079361/10000000000 binary64)) (*.f64 #s(literal 4481/100000 binary64) (*.f64 x x)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 20079361/10000000000 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4481/100000 binary64)) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 20079361/10000000000 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4481/100000 binary64) (*.f64 x x))))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 20079361/10000000000 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x #s(literal 4481/100000 binary64)) #s(literal -1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 20079361/10000000000 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4481/100000 binary64) (*.f64 x x))))) |
| 1× | egg-herbie |
| 9 160× | accelerator-lowering-fma.f32 |
| 9 160× | accelerator-lowering-fma.f64 |
| 2 958× | *-lowering-*.f32 |
| 2 958× | *-lowering-*.f64 |
| 2 244× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 150 | 774 |
| 1 | 415 | 766 |
| 2 | 1007 | 736 |
| 3 | 2424 | 686 |
| 4 | 6979 | 686 |
| 0 | 8045 | 623 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 99229/100000 x)) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(* 4481/100000 (pow x 2)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(* 4481/100000 (pow x 2)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
230753/100000 |
(+ 230753/100000 (* 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)))) |
-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 |
(- 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))) |
-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))))) |
(/ -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) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 27061/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
(* 4481/100000 x) |
1 |
(+ 1 (* 4481/100000 (pow x 2))) |
(+ 1 (* 4481/100000 (pow x 2))) |
(+ 1 (* 4481/100000 (pow x 2))) |
(* 4481/100000 (pow x 2)) |
(* (pow x 2) (+ 4481/100000 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 4481/100000 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 4481/100000 (/ 1 (pow x 2)))) |
(* 4481/100000 (pow x 2)) |
(* (pow x 2) (+ 4481/100000 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 4481/100000 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 4481/100000 (/ 1 (pow x 2)))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 99229/100000 x)) |
(fma.f64 #s(literal 99229/100000 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(* 4481/100000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(* 4481/100000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* 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)) |
-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 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (/.f64 #s(literal -14315508183474457216/403180738168321 binary64) x)) x) #s(literal -1651231776/20079361 binary64)) x)) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (/.f64 #s(literal -14315508183474457216/403180738168321 binary64) x)) x) #s(literal -1651231776/20079361 binary64)) x)) x) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- 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)) |
-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)) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
(* 30191289437/10000000000 x) |
(*.f64 x #s(literal 30191289437/10000000000 binary64)) |
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
(* 30191289437/10000000000 x) |
(*.f64 x #s(literal 30191289437/10000000000 binary64)) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) |
(fma.f64 x #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 (* -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)) |
(/ -27061/4481 x) |
(/.f64 #s(literal -27061/4481 binary64) x) |
(/ (- (pow x 2) 27061/4481) x) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(/ (- (pow x 2) 27061/4481) x) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(/ (- (pow x 2) 27061/4481) x) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(* 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)) |
(* 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)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 4481/100000 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 1 binary64)) |
(+ 1 (* 4481/100000 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 1 binary64)) |
(+ 1 (* 4481/100000 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 1 binary64)) |
(* 4481/100000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 4481/100000 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 4481/100000 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 1 binary64)) |
(* 4481/100000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 4481/100000 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 4481/100000 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 1 binary64)) |
Compiled 15 134 to 1 559 computations (89.7% saved)
12 alts after pruning (8 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 561 | 1 | 562 |
| Fresh | 0 | 7 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 562 | 12 | 574 |
| Status | Accuracy | Program |
|---|---|---|
| 48.9% | (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) | |
| ▶ | 47.4% | (fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
| 54.9% | (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) | |
| ✓ | 54.9% | (-.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)))) |
| ▶ | 100.0% | (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (+.f64 (*.f64 x #s(literal 99229/100000 binary64)) (fma.f64 x (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 1 binary64))))) |
| 53.8% | (-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) | |
| ▶ | 97.8% | (-.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)))) |
| ✓ | 54.7% | (-.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) |
| ✓ | 97.0% | (-.f64 x #s(literal 230753/100000 binary64)) |
| ▶ | 55.0% | x |
| ✓ | 46.5% | #s(literal -230753/100000 binary64) |
Compiled 183 to 134 computations (26.8% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | 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)))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 27061/100000 binary64)) |
| ✓ | cost-diff | 0 | (/.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))) |
| ✓ | cost-diff | 0 | (-.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)))) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (+.f64 (*.f64 x #s(literal 99229/100000 binary64)) (fma.f64 x (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (+.f64 (*.f64 x #s(literal 99229/100000 binary64)) (fma.f64 x (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 1 binary64))))) |
| ✓ | cost-diff | 448 | (+.f64 (*.f64 x #s(literal 99229/100000 binary64)) (fma.f64 x (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 1 binary64))) |
| 2 680× | accelerator-lowering-fma.f32 |
| 2 680× | accelerator-lowering-fma.f64 |
| 1 080× | *-lowering-*.f32 |
| 1 080× | *-lowering-*.f64 |
| 552× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 195 |
| 1 | 66 | 183 |
| 2 | 105 | 183 |
| 3 | 145 | 183 |
| 4 | 253 | 183 |
| 5 | 509 | 183 |
| 6 | 921 | 183 |
| 7 | 1399 | 183 |
| 8 | 2662 | 183 |
| 9 | 3497 | 183 |
| 10 | 3840 | 183 |
| 11 | 3992 | 183 |
| 12 | 4071 | 183 |
| 13 | 4079 | 183 |
| 14 | 4082 | 183 |
| 15 | 4082 | 183 |
| 0 | 4082 | 154 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x 99229/100000) (+ (* x (* x 4481/100000)) 1)))) |
x |
(/ (+ (* x 27061/100000) 230753/100000) (+ (* x 99229/100000) (+ (* x (* x 4481/100000)) 1))) |
(+ (* x 27061/100000) 230753/100000) |
27061/100000 |
230753/100000 |
(+ (* x 99229/100000) (+ (* x (* x 4481/100000)) 1)) |
(* x 99229/100000) |
99229/100000 |
(+ (* x (* x 4481/100000)) 1) |
(* x 4481/100000) |
4481/100000 |
1 |
x |
(+ (* x (+ (* x -1900161040244073/1000000000000000) 30191289437/10000000000)) -230753/100000) |
x |
(+ (* x -1900161040244073/1000000000000000) 30191289437/10000000000) |
-1900161040244073/1000000000000000 |
30191289437/10000000000 |
-230753/100000 |
(- x (/ (+ 230753/100000 (* x 27061/100000)) (+ (* x 99229/100000) 1))) |
x |
(/ (+ 230753/100000 (* x 27061/100000)) (+ (* x 99229/100000) 1)) |
(+ 230753/100000 (* x 27061/100000)) |
230753/100000 |
(* x 27061/100000) |
27061/100000 |
(+ (* x 99229/100000) 1) |
99229/100000 |
1 |
(- 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 |
| Outputs |
|---|
(- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x 99229/100000) (+ (* x (* x 4481/100000)) 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 99229/100000) (+ (* x (* x 4481/100000)) 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 99229/100000) (+ (* x (* x 4481/100000)) 1)) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(* x 99229/100000) |
(*.f64 x #s(literal 99229/100000 binary64)) |
99229/100000 |
#s(literal 99229/100000 binary64) |
(+ (* x (* x 4481/100000)) 1) |
(fma.f64 x (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 1 binary64)) |
(* x 4481/100000) |
(*.f64 x #s(literal 4481/100000 binary64)) |
4481/100000 |
#s(literal 4481/100000 binary64) |
1 |
#s(literal 1 binary64) |
x |
(+ (* x (+ (* x -1900161040244073/1000000000000000) 30191289437/10000000000)) -230753/100000) |
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
x |
(+ (* x -1900161040244073/1000000000000000) 30191289437/10000000000) |
(fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) |
-1900161040244073/1000000000000000 |
#s(literal -1900161040244073/1000000000000000 binary64) |
30191289437/10000000000 |
#s(literal 30191289437/10000000000 binary64) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- x (/ (+ 230753/100000 (* x 27061/100000)) (+ (* 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 |
(/ (+ 230753/100000 (* x 27061/100000)) (+ (* 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))) |
(+ 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) |
(+ (* 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 27061/100000) 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) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.6% | (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
| ✓ | accuracy | 99.6% | (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
| ✓ | accuracy | 79.1% | (/.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))) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) |
| ✓ | accuracy | 99.9% | (/.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))) |
| ✓ | accuracy | 99.4% | (*.f64 x #s(literal 27061/100000 binary64)) |
| ✓ | accuracy | 99.8% | (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) |
| ✓ | accuracy | 99.8% | (fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
| ✓ | accuracy | 99.8% | (fma.f64 x (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.6% | (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
| ✓ | accuracy | 99.4% | (*.f64 x #s(literal 4481/100000 binary64)) |
| ✓ | accuracy | 79.1% | (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (+.f64 (*.f64 x #s(literal 99229/100000 binary64)) (fma.f64 x (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 1 binary64)))) |
| 86.0ms | 256× | 0 | valid |
Compiled 168 to 33 computations (80.4% saved)
const: 32.0ms (45.7% of total)ival-mult: 18.0ms (25.7% of total)ival-add: 9.0ms (12.8% of total)ival-sub: 6.0ms (8.6% of total)ival-div: 4.0ms (5.7% 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 99229/100000) (+ (* x (* x 4481/100000)) 1))> |
#<alt (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x 99229/100000) (+ (* x (* x 4481/100000)) 1))))> |
#<alt (/ (+ (* x 27061/100000) 230753/100000) (+ (* x 99229/100000) (+ (* x (* x 4481/100000)) 1)))> |
#<alt (+ (* x 27061/100000) 230753/100000)> |
#<alt (+ (* x (+ (* x -1900161040244073/1000000000000000) 30191289437/10000000000)) -230753/100000)> |
#<alt (+ (* x -1900161040244073/1000000000000000) 30191289437/10000000000)> |
#<alt (+ 230753/100000 (* x 27061/100000))> |
#<alt (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ (* x 99229/100000) 1)))> |
#<alt (/ (+ 230753/100000 (* x 27061/100000)) (+ (* x 99229/100000) 1))> |
#<alt (* x 27061/100000)> |
#<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 (+ (* x 4481/100000) 99229/100000)) 1)> |
#<alt (* x 4481/100000)> |
#<alt (+ (* x (* x 4481/100000)) 1)> |
#<alt (+ (* x 99229/100000) 1)> |
#<alt (+ (* x 4481/100000) 99229/100000)> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* 99229/100000 x))> |
#<alt (+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))> |
#<alt (+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))> |
#<alt (* 4481/100000 (pow x 2))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* 4481/100000 (pow x 2))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt -230753/100000> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)> |
#<alt x> |
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))> |
#<alt 230753/100000> |
#<alt (+ 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 -230753/100000> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)> |
#<alt (* -1900161040244073/1000000000000000 (pow x 2))> |
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))> |
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2)))))> |
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2)))))> |
#<alt (* -1900161040244073/1000000000000000 (pow x 2))> |
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))> |
#<alt (* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000))> |
#<alt (* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000))> |
#<alt 30191289437/10000000000> |
#<alt (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))> |
#<alt (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))> |
#<alt (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))> |
#<alt (* -1900161040244073/1000000000000000 x)> |
#<alt (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))> |
#<alt (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))> |
#<alt (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))> |
#<alt (* -1900161040244073/1000000000000000 x)> |
#<alt (* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))))> |
#<alt 230753/100000> |
#<alt (+ 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 -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 (* 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 -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 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 (* 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 1> |
#<alt (+ 1 (* 4481/100000 (pow x 2)))> |
#<alt (+ 1 (* 4481/100000 (pow x 2)))> |
#<alt (+ 1 (* 4481/100000 (pow x 2)))> |
#<alt (* 4481/100000 (pow x 2))> |
#<alt (* (pow x 2) (+ 4481/100000 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 4481/100000 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 4481/100000 (/ 1 (pow x 2))))> |
#<alt (* 4481/100000 (pow x 2))> |
#<alt (* (pow x 2) (+ 4481/100000 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 4481/100000 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 4481/100000 (/ 1 (pow x 2))))> |
#<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 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))))> |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (+ (* x 99229/100000) (+ (* x (* x 4481/100000)) 1)) |
| 1.0ms | x | @ | 0 | (+ (* x (+ (* x -1900161040244073/1000000000000000) 30191289437/10000000000)) -230753/100000) |
| 0.0ms | x | @ | inf | (+ (* x (+ (* x -1900161040244073/1000000000000000) 30191289437/10000000000)) -230753/100000) |
| 0.0ms | x | @ | -inf | (+ (* x (+ (* x -1900161040244073/1000000000000000) 30191289437/10000000000)) -230753/100000) |
| 0.0ms | x | @ | -inf | (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ (* x 99229/100000) 1))) |
| 1× | batch-egg-rewrite |
| 5 082× | accelerator-lowering-fma.f32 |
| 5 082× | accelerator-lowering-fma.f64 |
| 4 722× | /-lowering-/.f32 |
| 4 722× | /-lowering-/.f64 |
| 4 206× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 165 |
| 1 | 226 | 153 |
| 2 | 2143 | 153 |
| 0 | 8775 | 125 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* x 99229/100000) (+ (* x (* x 4481/100000)) 1)) |
(- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x 99229/100000) (+ (* x (* x 4481/100000)) 1)))) |
(/ (+ (* x 27061/100000) 230753/100000) (+ (* x 99229/100000) (+ (* x (* x 4481/100000)) 1))) |
(+ (* x 27061/100000) 230753/100000) |
(+ (* x (+ (* x -1900161040244073/1000000000000000) 30191289437/10000000000)) -230753/100000) |
(+ (* x -1900161040244073/1000000000000000) 30191289437/10000000000) |
(+ 230753/100000 (* x 27061/100000)) |
(- x (/ (+ 230753/100000 (* x 27061/100000)) (+ (* x 99229/100000) 1))) |
(/ (+ 230753/100000 (* x 27061/100000)) (+ (* x 99229/100000) 1)) |
(* x 27061/100000) |
(- 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 (+ (* x 4481/100000) 99229/100000)) 1) |
(* x 4481/100000) |
(+ (* x (* x 4481/100000)) 1) |
(+ (* x 99229/100000) 1) |
(+ (* x 4481/100000) 99229/100000) |
| Outputs |
|---|
(+.f64 (*.f64 x #s(literal 99229/100000 binary64)) (fma.f64 #s(literal 4481/100000 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(+.f64 (*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) (fma.f64 x #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 #s(literal 4481/100000 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x #s(literal 99229/100000 binary64))) |
(+.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (*.f64 x (*.f64 x #s(literal 4481/100000 binary64)))) |
(+.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x x)) (-.f64 (*.f64 x #s(literal 99229/100000 binary64)) (fma.f64 #s(literal 4481/100000 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 4481/100000 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal 4481/100000 binary64) (*.f64 x x) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 99229/100000 binary64)) (fma.f64 #s(literal 4481/100000 binary64) (*.f64 x x) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (*.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))))) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) (/.f64 (*.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))))) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))) |
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 4481/100000 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal 4481/100000 binary64) (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 4481/100000 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x #s(literal 99229/100000 binary64)))) (/.f64 (*.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x x)) (-.f64 (fma.f64 #s(literal 4481/100000 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x #s(literal 99229/100000 binary64))))) |
(fma.f64 x #s(literal 99229/100000 binary64) (fma.f64 #s(literal 4481/100000 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x #s(literal 4481/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) |
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(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64))) (neg.f64 (+.f64 #s(literal 9846394441/10000000000 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64))) (neg.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)))) |
(/.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64))) (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal 9846394441/10000000000 binary64))) (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)))) (neg.f64 (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)) (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)))) |
| 1× | egg-herbie |
| 10 822× | accelerator-lowering-fma.f32 |
| 10 822× | accelerator-lowering-fma.f64 |
| 3 502× | *-lowering-*.f32 |
| 3 502× | *-lowering-*.f64 |
| 3 040× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 227 | 1360 |
| 1 | 662 | 1326 |
| 2 | 1604 | 1286 |
| 3 | 4671 | 1254 |
| 0 | 8354 | 1105 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 99229/100000 x)) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) |
(* 4481/100000 (pow x 2)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(* 4481/100000 (pow x 2)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
x |
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) |
x |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) |
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) |
230753/100000 |
(+ 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)))) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(* -1900161040244073/1000000000000000 (pow x 2)) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))))) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))))) |
(* -1900161040244073/1000000000000000 (pow x 2)) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000)) |
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000)) |
30191289437/10000000000 |
(+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)) |
(+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)) |
(+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)) |
(* -1900161040244073/1000000000000000 x) |
(* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)) |
(* -1900161040244073/1000000000000000 x) |
(* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))) |
(* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))) |
(* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))) |
230753/100000 |
(+ 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)))) |
-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))) |
(* 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) |
-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)) |
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))))) |
(* 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) |
1 |
(+ 1 (* 4481/100000 (pow x 2))) |
(+ 1 (* 4481/100000 (pow x 2))) |
(+ 1 (* 4481/100000 (pow x 2))) |
(* 4481/100000 (pow x 2)) |
(* (pow x 2) (+ 4481/100000 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 4481/100000 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 4481/100000 (/ 1 (pow x 2)))) |
(* 4481/100000 (pow x 2)) |
(* (pow x 2) (+ 4481/100000 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 4481/100000 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 4481/100000 (/ 1 (pow x 2)))) |
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))) |
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 |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 99229/100000 x)) |
(fma.f64 #s(literal 99229/100000 binary64) x #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 #s(literal 4481/100000 binary64) (*.f64 x x)) |
(* (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 #s(literal 4481/100000 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(fma.f64 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))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -27061/4481 binary64) 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 x (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -27061/4481 binary64) (/.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 (/.f64 #s(literal 1 binary64) x) #s(literal -27061/4481 binary64) 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 x (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) (*.f64 x x)))) |
230753/100000 |
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(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -14315508183474457216/403180738168321 binary64) x) #s(literal -151724043800704/89975616641 binary64)) x) #s(literal -1651231776/20079361 binary64)) x)) x) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -14315508183474457216/403180738168321 binary64) x) #s(literal -151724043800704/89975616641 binary64)) x) #s(literal -1651231776/20079361 binary64)) x)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 99229/100000 x)) |
(fma.f64 #s(literal 99229/100000 binary64) x #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 #s(literal 4481/100000 binary64) (*.f64 x x)) |
(* (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 #s(literal 4481/100000 binary64) (*.f64 x x)) |
(* (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 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)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 4481/100000 (pow x 2))) |
(fma.f64 #s(literal 4481/100000 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* 4481/100000 (pow x 2))) |
(fma.f64 #s(literal 4481/100000 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* 4481/100000 (pow x 2))) |
(fma.f64 #s(literal 4481/100000 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* 4481/100000 (pow x 2)) |
(*.f64 #s(literal 4481/100000 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 4481/100000 (/ 1 (pow x 2)))) |
(fma.f64 #s(literal 4481/100000 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (+ 4481/100000 (/ 1 (pow x 2)))) |
(fma.f64 #s(literal 4481/100000 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (+ 4481/100000 (/ 1 (pow x 2)))) |
(fma.f64 #s(literal 4481/100000 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* 4481/100000 (pow x 2)) |
(*.f64 #s(literal 4481/100000 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 4481/100000 (/ 1 (pow x 2)))) |
(fma.f64 #s(literal 4481/100000 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (+ 4481/100000 (/ 1 (pow x 2)))) |
(fma.f64 #s(literal 4481/100000 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (+ 4481/100000 (/ 1 (pow x 2)))) |
(fma.f64 #s(literal 4481/100000 binary64) (*.f64 x x) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 99229/100000 x)) |
(fma.f64 #s(literal 99229/100000 binary64) x #s(literal 1 binary64)) |
(+ 1 (* 99229/100000 x)) |
(fma.f64 #s(literal 99229/100000 binary64) x #s(literal 1 binary64)) |
(+ 1 (* 99229/100000 x)) |
(fma.f64 #s(literal 99229/100000 binary64) x #s(literal 1 binary64)) |
(* 99229/100000 x) |
(*.f64 #s(literal 99229/100000 binary64) x) |
(* x (+ 99229/100000 (/ 1 x))) |
(fma.f64 #s(literal 99229/100000 binary64) x #s(literal 1 binary64)) |
(* x (+ 99229/100000 (/ 1 x))) |
(fma.f64 #s(literal 99229/100000 binary64) x #s(literal 1 binary64)) |
(* x (+ 99229/100000 (/ 1 x))) |
(fma.f64 #s(literal 99229/100000 binary64) x #s(literal 1 binary64)) |
(* 99229/100000 x) |
(*.f64 #s(literal 99229/100000 binary64) x) |
(* x (+ 99229/100000 (/ 1 x))) |
(fma.f64 #s(literal 99229/100000 binary64) x #s(literal 1 binary64)) |
(* x (+ 99229/100000 (/ 1 x))) |
(fma.f64 #s(literal 99229/100000 binary64) x #s(literal 1 binary64)) |
(* x (+ 99229/100000 (/ 1 x))) |
(fma.f64 #s(literal 99229/100000 binary64) x #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)) |
Compiled 26 696 to 2 008 computations (92.5% saved)
18 alts after pruning (10 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 939 | 8 | 947 |
| Fresh | 1 | 2 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 941 | 18 | 959 |
| Status | Accuracy | Program |
|---|---|---|
| 47.4% | (fma.f64 (*.f64 x x) #s(literal -1900161040244073/1000000000000000 binary64) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))) | |
| 48.8% | (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)) | |
| ▶ | 48.9% | (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
| ✓ | 47.4% | (fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
| ▶ | 47.3% | (fma.f64 x (fma.f64 x #s(literal -2003561459544073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
| 54.9% | (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) | |
| ✓ | 54.9% | (-.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)))) |
| ▶ | 97.8% | (-.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)))) |
| ✓ | 100.0% | (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (+.f64 (*.f64 x #s(literal 99229/100000 binary64)) (fma.f64 x (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 1 binary64))))) |
| 54.8% | (-.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))))) | |
| 53.8% | (-.f64 x (/.f64 (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x)) | |
| ✓ | 54.7% | (-.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) |
| ▶ | 97.9% | (-.f64 x (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) |
| ✓ | 97.0% | (-.f64 x #s(literal 230753/100000 binary64)) |
| ▶ | 60.0% | (-.f64 x #s(literal 27061/99229 binary64)) |
| ✓ | 55.0% | x |
| ✓ | 46.5% | #s(literal -230753/100000 binary64) |
Compiled 250 to 183 computations (26.8% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | 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)))) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal -2003561459544073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x #s(literal -2003561459544073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 x #s(literal 27061/99229 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 x (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) |
| 3 976× | accelerator-lowering-fma.f32 |
| 3 976× | accelerator-lowering-fma.f64 |
| 1 240× | *-lowering-*.f32 |
| 1 240× | *-lowering-*.f64 |
| 752× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 119 |
| 1 | 69 | 119 |
| 2 | 145 | 119 |
| 3 | 227 | 119 |
| 4 | 318 | 119 |
| 5 | 494 | 119 |
| 6 | 740 | 119 |
| 7 | 1106 | 119 |
| 8 | 2535 | 119 |
| 9 | 3327 | 119 |
| 10 | 3960 | 119 |
| 11 | 4149 | 119 |
| 12 | 4198 | 119 |
| 13 | 4231 | 119 |
| 14 | 4337 | 119 |
| 15 | 4373 | 119 |
| 16 | 4373 | 119 |
| 17 | 4379 | 119 |
| 18 | 4379 | 119 |
| 19 | 4381 | 119 |
| 0 | 4381 | 101 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- x (/ 230753/100000 (+ (* x 99229/100000) 1))) |
x |
(/ 230753/100000 (+ (* x 99229/100000) 1)) |
230753/100000 |
(+ (* x 99229/100000) 1) |
99229/100000 |
1 |
(- x 27061/99229) |
x |
27061/99229 |
(+ (* x (+ (* x -2003561459544073/1000000000000000) 30191289437/10000000000)) -230753/100000) |
x |
(+ (* x -2003561459544073/1000000000000000) 30191289437/10000000000) |
-2003561459544073/1000000000000000 |
30191289437/10000000000 |
-230753/100000 |
(+ (* x (+ (* x (+ (* x 179503363065659419717/100000000000000000000) -1900161040244073/1000000000000000)) 30191289437/10000000000)) -230753/100000) |
x |
(+ (* x (+ (* x 179503363065659419717/100000000000000000000) -1900161040244073/1000000000000000)) 30191289437/10000000000) |
(+ (* x 179503363065659419717/100000000000000000000) -1900161040244073/1000000000000000) |
179503363065659419717/100000000000000000000 |
-1900161040244073/1000000000000000 |
30191289437/10000000000 |
-230753/100000 |
(- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x 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 |
| Outputs |
|---|
(- x (/ 230753/100000 (+ (* x 99229/100000) 1))) |
(+.f64 x (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal -99229/100000 binary64) #s(literal -1 binary64)))) |
x |
(/ 230753/100000 (+ (* x 99229/100000) 1)) |
(/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ (* x 99229/100000) 1) |
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) |
99229/100000 |
#s(literal 99229/100000 binary64) |
1 |
#s(literal 1 binary64) |
(- x 27061/99229) |
(+.f64 x #s(literal -27061/99229 binary64)) |
x |
27061/99229 |
#s(literal 27061/99229 binary64) |
(+ (* x (+ (* x -2003561459544073/1000000000000000) 30191289437/10000000000)) -230753/100000) |
(fma.f64 x (fma.f64 x #s(literal -2003561459544073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
x |
(+ (* x -2003561459544073/1000000000000000) 30191289437/10000000000) |
(fma.f64 x #s(literal -2003561459544073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) |
-2003561459544073/1000000000000000 |
#s(literal -2003561459544073/1000000000000000 binary64) |
30191289437/10000000000 |
#s(literal 30191289437/10000000000 binary64) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(+ (* x (+ (* x (+ (* x 179503363065659419717/100000000000000000000) -1900161040244073/1000000000000000)) 30191289437/10000000000)) -230753/100000) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
x |
(+ (* x (+ (* x 179503363065659419717/100000000000000000000) -1900161040244073/1000000000000000)) 30191289437/10000000000) |
(fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) |
(+ (* x 179503363065659419717/100000000000000000000) -1900161040244073/1000000000000000) |
(fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) |
179503363065659419717/100000000000000000000 |
#s(literal 179503363065659419717/100000000000000000000 binary64) |
-1900161040244073/1000000000000000 |
#s(literal -1900161040244073/1000000000000000 binary64) |
30191289437/10000000000 |
#s(literal 30191289437/10000000000 binary64) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x 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) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.6% | (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 x (fma.f64 x #s(literal -2003561459544073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 x #s(literal -2003561459544073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 x #s(literal 27061/99229 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 x (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) |
| 214.0ms | 256× | 0 | valid |
Compiled 103 to 32 computations (68.9% saved)
ival-mult: 154.0ms (77% of total)const: 26.0ms (13% of total)ival-add: 13.0ms (6.5% of total)ival-div: 3.0ms (1.5% of total)ival-sub: 3.0ms (1.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- x (/ 230753/100000 (+ (* x 99229/100000) 1)))> |
#<alt (/ 230753/100000 (+ (* x 99229/100000) 1))> |
#<alt (+ (* x 99229/100000) 1)> |
#<alt (- x 27061/99229)> |
#<alt (+ (* x (+ (* x -2003561459544073/1000000000000000) 30191289437/10000000000)) -230753/100000)> |
#<alt (+ (* x -2003561459544073/1000000000000000) 30191289437/10000000000)> |
#<alt (+ (* x (+ (* x (+ (* x 179503363065659419717/100000000000000000000) -1900161040244073/1000000000000000)) 30191289437/10000000000)) -230753/100000)> |
#<alt (+ (* x (+ (* x 179503363065659419717/100000000000000000000) -1900161040244073/1000000000000000)) 30191289437/10000000000)> |
#<alt (+ (* x 179503363065659419717/100000000000000000000) -1900161040244073/1000000000000000)> |
#<alt (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x 99229/100000) 1)))> |
#<alt (/ (+ (* x 27061/100000) 230753/100000) (+ (* x 99229/100000) 1))> |
#<alt (+ (* x 27061/100000) 230753/100000)> |
| Outputs |
|---|
#<alt -230753/100000> |
#<alt (- (* 32897389437/10000000000 x) 230753/100000)> |
#<alt (- (* x (+ 32897389437/10000000000 (* -2272085056444073/1000000000000000 x))) 230753/100000)> |
#<alt (- (* x (+ 32897389437/10000000000 (* x (- (* 225456728065888919717/100000000000000000000 x) 2272085056444073/1000000000000000)))) 230753/100000)> |
#<alt x> |
#<alt (* x (- 1 (* 230753/99229 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 23075300000/9846394441 (pow x 3))) (* 230753/99229 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 23075300000/9846394441 (pow x 3))) (+ (* 230753/99229 (/ 1 (pow x 2))) (* 2307530000000000/977047873985989 (/ 1 (pow x 4))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 230753/99229 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 230753/99229 (/ 1 (pow x 2))) (+ 1 (/ 23075300000/9846394441 (pow x 3))))))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- 23075300000/9846394441 (* 2307530000000000/977047873985989 (/ 1 x))) (pow x 3))) (* 230753/99229 (/ 1 (pow x 2)))) 1)))> |
#<alt 230753/100000> |
#<alt (+ 230753/100000 (* -22897389437/10000000000 x))> |
#<alt (+ 230753/100000 (* x (- (* 2272085056444073/1000000000000000 x) 22897389437/10000000000)))> |
#<alt (+ 230753/100000 (* x (- (* x (+ 2272085056444073/1000000000000000 (* -225456728065888919717/100000000000000000000 x))) 22897389437/10000000000)))> |
#<alt (/ 230753/99229 x)> |
#<alt (/ (- 230753/99229 (* 23075300000/9846394441 (/ 1 x))) x)> |
#<alt (/ (- (+ 230753/99229 (/ 2307530000000000/977047873985989 (pow x 2))) (* 23075300000/9846394441 (/ 1 x))) x)> |
#<alt (/ (- (+ 230753/99229 (/ 2307530000000000/977047873985989 (pow x 2))) (+ (* 23075300000/9846394441 (/ 1 x)) (* 230753000000000000000/96951483487755702481 (/ 1 (pow x 3))))) x)> |
#<alt (/ 230753/99229 x)> |
#<alt (* -1 (/ (- (* 23075300000/9846394441 (/ 1 x)) 230753/99229) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 2307530000000000/977047873985989 (/ 1 x)) 23075300000/9846394441) x)) 230753/99229) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 230753000000000000000/96951483487755702481 (/ 1 x)) 2307530000000000/977047873985989) x)) 23075300000/9846394441) x)) 230753/99229) x))> |
#<alt 1> |
#<alt (+ 1 (* 99229/100000 x))> |
#<alt (+ 1 (* 99229/100000 x))> |
#<alt (+ 1 (* 99229/100000 x))> |
#<alt (* 99229/100000 x)> |
#<alt (* x (+ 99229/100000 (/ 1 x)))> |
#<alt (* x (+ 99229/100000 (/ 1 x)))> |
#<alt (* x (+ 99229/100000 (/ 1 x)))> |
#<alt (* 99229/100000 x)> |
#<alt (* x (+ 99229/100000 (/ 1 x)))> |
#<alt (* x (+ 99229/100000 (/ 1 x)))> |
#<alt (* x (+ 99229/100000 (/ 1 x)))> |
#<alt -27061/99229> |
#<alt (- x 27061/99229)> |
#<alt (- x 27061/99229)> |
#<alt (- x 27061/99229)> |
#<alt x> |
#<alt (* x (- 1 (* 27061/99229 (/ 1 x))))> |
#<alt (* x (- 1 (* 27061/99229 (/ 1 x))))> |
#<alt (* x (- 1 (* 27061/99229 (/ 1 x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 27061/99229 (/ 1 x)) 1)))> |
#<alt (* -1 (* x (- (* 27061/99229 (/ 1 x)) 1)))> |
#<alt (* -1 (* x (- (* 27061/99229 (/ 1 x)) 1)))> |
#<alt -230753/100000> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x))) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x))) 230753/100000)> |
#<alt (* -2003561459544073/1000000000000000 (pow x 2))> |
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000))> |
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 2003561459544073/1000000000000000 (/ 230753/100000 (pow x 2)))))> |
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 2003561459544073/1000000000000000 (/ 230753/100000 (pow x 2)))))> |
#<alt (* -2003561459544073/1000000000000000 (pow x 2))> |
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000))> |
#<alt (* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 2003561459544073/1000000000000000))> |
#<alt (* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 2003561459544073/1000000000000000))> |
#<alt 30191289437/10000000000> |
#<alt (+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x))> |
#<alt (+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x))> |
#<alt (+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x))> |
#<alt (* -2003561459544073/1000000000000000 x)> |
#<alt (* x (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000))> |
#<alt (* x (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000))> |
#<alt (* x (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000))> |
#<alt (* -2003561459544073/1000000000000000 x)> |
#<alt (* -1 (* x (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))))> |
#<alt (* -1 (* x (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))))> |
#<alt (* -1 (* x (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))))> |
#<alt -230753/100000> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)> |
#<alt (* 179503363065659419717/100000000000000000000 (pow x 3))> |
#<alt (* (pow x 3) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (+ (* 1900161040244073/1000000000000000 (/ 1 x)) (* 230753/100000 (/ 1 (pow x 3))))))> |
#<alt (* 179503363065659419717/100000000000000000000 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000)))> |
#<alt 30191289437/10000000000> |
#<alt (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))> |
#<alt (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))> |
#<alt (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))> |
#<alt (* 179503363065659419717/100000000000000000000 (pow x 2))> |
#<alt (* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x))))> |
#<alt (* 179503363065659419717/100000000000000000000 (pow x 2))> |
#<alt (* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x))))> |
#<alt (* (pow x 2) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x))))> |
#<alt -1900161040244073/1000000000000000> |
#<alt (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)> |
#<alt (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)> |
#<alt (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)> |
#<alt (* 179503363065659419717/100000000000000000000 x)> |
#<alt (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))> |
#<alt (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))> |
#<alt (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))> |
#<alt (* 179503363065659419717/100000000000000000000 x)> |
#<alt (* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))> |
#<alt (* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))> |
#<alt (* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))> |
#<alt -230753/100000> |
#<alt (- (* 30191289437/10000000000 x) 230753/100000)> |
#<alt (- (* x (+ 30191289437/10000000000 (* -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))))> |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (+ (* x (+ (* x (+ (* x 179503363065659419717/100000000000000000000) -1900161040244073/1000000000000000)) 30191289437/10000000000)) -230753/100000) |
| 0.0ms | x | @ | -inf | (+ (* x (+ (* x (+ (* x 179503363065659419717/100000000000000000000) -1900161040244073/1000000000000000)) 30191289437/10000000000)) -230753/100000) |
| 0.0ms | x | @ | -inf | (+ (* x (+ (* x -2003561459544073/1000000000000000) 30191289437/10000000000)) -230753/100000) |
| 0.0ms | x | @ | inf | (- x (/ 230753/100000 (+ (* x 99229/100000) 1))) |
| 0.0ms | x | @ | 0 | (+ (* x (+ (* x -2003561459544073/1000000000000000) 30191289437/10000000000)) -230753/100000) |
| 1× | batch-egg-rewrite |
| 4 900× | /-lowering-/.f32 |
| 4 900× | /-lowering-/.f64 |
| 4 374× | accelerator-lowering-fma.f32 |
| 4 374× | accelerator-lowering-fma.f64 |
| 3 792× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 94 |
| 1 | 203 | 94 |
| 2 | 1729 | 94 |
| 0 | 8540 | 77 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- x (/ 230753/100000 (+ (* x 99229/100000) 1))) |
(/ 230753/100000 (+ (* x 99229/100000) 1)) |
(+ (* x 99229/100000) 1) |
(- x 27061/99229) |
(+ (* x (+ (* x -2003561459544073/1000000000000000) 30191289437/10000000000)) -230753/100000) |
(+ (* x -2003561459544073/1000000000000000) 30191289437/10000000000) |
(+ (* x (+ (* x (+ (* x 179503363065659419717/100000000000000000000) -1900161040244073/1000000000000000)) 30191289437/10000000000)) -230753/100000) |
(+ (* x (+ (* x 179503363065659419717/100000000000000000000) -1900161040244073/1000000000000000)) 30191289437/10000000000) |
(+ (* x 179503363065659419717/100000000000000000000) -1900161040244073/1000000000000000) |
(- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x 99229/100000) 1))) |
(/ (+ (* x 27061/100000) 230753/100000) (+ (* x 99229/100000) 1)) |
(+ (* x 27061/100000) 230753/100000) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(literal -230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) |
(+.f64 (/.f64 #s(literal -230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) x) |
(-.f64 x (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) (+.f64 x (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) (*.f64 x x))) (/.f64 (/.f64 #s(literal 12286892763167777/1000000000000000 binary64) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))) (fma.f64 (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) (+.f64 x (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) (*.f64 x x)))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) (+.f64 x (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 #s(literal -230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) (-.f64 x (/.f64 #s(literal -230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))))) |
(fma.f64 #s(literal 230753/100000 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) x) |
(fma.f64 #s(literal -230753/100000 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) x) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) (*.f64 x (/.f64 #s(literal -230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))))) (fma.f64 x (*.f64 x x) (/.f64 #s(literal -12286892763167777/1000000000000000 binary64) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 #s(literal -230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) (-.f64 (*.f64 x x) (/.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))))) |
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal -12286892763167777/1000000000000000 binary64) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))))) (fma.f64 (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) (+.f64 x (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) (*.f64 x x))) |
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(*.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 (*.f64 x x) #s(literal 9846394441/10000000000 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal 53246947009/10000000000 binary64)) (*.f64 x #s(literal 6244406933/10000000000 binary64))))) |
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(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 977047873985989/1000000000000000 binary64) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 9846394441/10000000000 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 99229/100000 binary64)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (fma.f64 (*.f64 x x) #s(literal 9846394441/10000000000 binary64) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal -1 binary64))))) |
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) |
(+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))) (/.f64 #s(literal 53246947009/10000000000 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)))) |
(-.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)) (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64))))) |
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(/.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))))) |
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(/.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64))) (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))) (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)) #s(literal 53246947009/10000000000 binary64))) (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal 53246947009/10000000000 binary64)) (*.f64 x #s(literal 6244406933/10000000000 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)))) (neg.f64 (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))) (fma.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))) (/.f64 #s(literal 53246947009/10000000000 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x 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))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal 53246947009/10000000000 binary64)) (*.f64 x #s(literal 6244406933/10000000000 binary64))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)))) |
| 1× | egg-herbie |
| 9 862× | accelerator-lowering-fma.f32 |
| 9 862× | accelerator-lowering-fma.f64 |
| 4 522× | *-lowering-*.f32 |
| 4 522× | *-lowering-*.f64 |
| 2 164× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 271 | 1016 |
| 1 | 770 | 987 |
| 2 | 1982 | 958 |
| 3 | 6274 | 942 |
| 0 | 8226 | 843 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-230753/100000 |
(- (* 32897389437/10000000000 x) 230753/100000) |
(- (* x (+ 32897389437/10000000000 (* -2272085056444073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 32897389437/10000000000 (* x (- (* 225456728065888919717/100000000000000000000 x) 2272085056444073/1000000000000000)))) 230753/100000) |
x |
(* x (- 1 (* 230753/99229 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 23075300000/9846394441 (pow x 3))) (* 230753/99229 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 23075300000/9846394441 (pow x 3))) (+ (* 230753/99229 (/ 1 (pow x 2))) (* 2307530000000000/977047873985989 (/ 1 (pow x 4)))))) |
x |
(* -1 (* x (- (* 230753/99229 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 230753/99229 (/ 1 (pow x 2))) (+ 1 (/ 23075300000/9846394441 (pow x 3)))))) |
(* -1 (* x (- (+ (* -1 (/ (- 23075300000/9846394441 (* 2307530000000000/977047873985989 (/ 1 x))) (pow x 3))) (* 230753/99229 (/ 1 (pow x 2)))) 1))) |
230753/100000 |
(+ 230753/100000 (* -22897389437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 2272085056444073/1000000000000000 x) 22897389437/10000000000))) |
(+ 230753/100000 (* x (- (* x (+ 2272085056444073/1000000000000000 (* -225456728065888919717/100000000000000000000 x))) 22897389437/10000000000))) |
(/ 230753/99229 x) |
(/ (- 230753/99229 (* 23075300000/9846394441 (/ 1 x))) x) |
(/ (- (+ 230753/99229 (/ 2307530000000000/977047873985989 (pow x 2))) (* 23075300000/9846394441 (/ 1 x))) x) |
(/ (- (+ 230753/99229 (/ 2307530000000000/977047873985989 (pow x 2))) (+ (* 23075300000/9846394441 (/ 1 x)) (* 230753000000000000000/96951483487755702481 (/ 1 (pow x 3))))) x) |
(/ 230753/99229 x) |
(* -1 (/ (- (* 23075300000/9846394441 (/ 1 x)) 230753/99229) x)) |
(* -1 (/ (- (* -1 (/ (- (* 2307530000000000/977047873985989 (/ 1 x)) 23075300000/9846394441) x)) 230753/99229) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 230753000000000000000/96951483487755702481 (/ 1 x)) 2307530000000000/977047873985989) x)) 23075300000/9846394441) x)) 230753/99229) x)) |
1 |
(+ 1 (* 99229/100000 x)) |
(+ 1 (* 99229/100000 x)) |
(+ 1 (* 99229/100000 x)) |
(* 99229/100000 x) |
(* x (+ 99229/100000 (/ 1 x))) |
(* x (+ 99229/100000 (/ 1 x))) |
(* x (+ 99229/100000 (/ 1 x))) |
(* 99229/100000 x) |
(* x (+ 99229/100000 (/ 1 x))) |
(* x (+ 99229/100000 (/ 1 x))) |
(* x (+ 99229/100000 (/ 1 x))) |
-27061/99229 |
(- x 27061/99229) |
(- x 27061/99229) |
(- x 27061/99229) |
x |
(* x (- 1 (* 27061/99229 (/ 1 x)))) |
(* x (- 1 (* 27061/99229 (/ 1 x)))) |
(* x (- 1 (* 27061/99229 (/ 1 x)))) |
x |
(* -1 (* x (- (* 27061/99229 (/ 1 x)) 1))) |
(* -1 (* x (- (* 27061/99229 (/ 1 x)) 1))) |
(* -1 (* x (- (* 27061/99229 (/ 1 x)) 1))) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x))) 230753/100000) |
(* -2003561459544073/1000000000000000 (pow x 2)) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000)) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 2003561459544073/1000000000000000 (/ 230753/100000 (pow x 2))))) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 2003561459544073/1000000000000000 (/ 230753/100000 (pow x 2))))) |
(* -2003561459544073/1000000000000000 (pow x 2)) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000)) |
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 2003561459544073/1000000000000000)) |
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 2003561459544073/1000000000000000)) |
30191289437/10000000000 |
(+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x)) |
(+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x)) |
(+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x)) |
(* -2003561459544073/1000000000000000 x) |
(* x (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000)) |
(* x (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000)) |
(* x (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000)) |
(* -2003561459544073/1000000000000000 x) |
(* -1 (* x (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))) |
(* -1 (* x (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))) |
(* -1 (* x (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
(* 179503363065659419717/100000000000000000000 (pow x 3)) |
(* (pow x 3) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (+ (* 1900161040244073/1000000000000000 (/ 1 x)) (* 230753/100000 (/ 1 (pow x 3)))))) |
(* 179503363065659419717/100000000000000000000 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000))) |
30191289437/10000000000 |
(+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)) |
(+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000))) |
(+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000))) |
(* 179503363065659419717/100000000000000000000 (pow x 2)) |
(* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(* (pow x 2) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(* (pow x 2) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(* 179503363065659419717/100000000000000000000 (pow x 2)) |
(* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(* (pow x 2) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x)))) |
(* (pow x 2) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x)))) |
-1900161040244073/1000000000000000 |
(- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) |
(- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) |
(- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) |
(* 179503363065659419717/100000000000000000000 x) |
(* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(* 179503363065659419717/100000000000000000000 x) |
(* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))) |
(* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))) |
(* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))) |
-230753/100000 |
(- (* 30191289437/10000000000 x) 230753/100000) |
(- (* x (+ 30191289437/10000000000 (* -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)))) |
| Outputs |
|---|
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- (* 32897389437/10000000000 x) 230753/100000) |
(fma.f64 #s(literal 32897389437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(- (* x (+ 32897389437/10000000000 (* -2272085056444073/1000000000000000 x))) 230753/100000) |
(fma.f64 x (fma.f64 x #s(literal -2272085056444073/1000000000000000 binary64) #s(literal 32897389437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(- (* x (+ 32897389437/10000000000 (* x (- (* 225456728065888919717/100000000000000000000 x) 2272085056444073/1000000000000000)))) 230753/100000) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 225456728065888919717/100000000000000000000 binary64) #s(literal -2272085056444073/1000000000000000 binary64)) #s(literal 32897389437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
x |
(* x (- 1 (* 230753/99229 (/ 1 (pow x 2))))) |
(fma.f64 x (/.f64 #s(literal -230753/99229 binary64) (*.f64 x x)) x) |
(* x (- (+ 1 (/ 23075300000/9846394441 (pow x 3))) (* 230753/99229 (/ 1 (pow x 2))))) |
(fma.f64 x (+.f64 (/.f64 #s(literal 23075300000/9846394441 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -230753/99229 binary64) (*.f64 x x))) x) |
(* x (- (+ 1 (/ 23075300000/9846394441 (pow x 3))) (+ (* 230753/99229 (/ 1 (pow x 2))) (* 2307530000000000/977047873985989 (/ 1 (pow x 4)))))) |
(+.f64 x (fma.f64 x (/.f64 #s(literal -230753/99229 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 23075300000/9846394441 binary64) (/.f64 #s(literal -2307530000000000/977047873985989 binary64) x)) (*.f64 x x)))) |
x |
(* -1 (* x (- (* 230753/99229 (/ 1 (pow x 2))) 1))) |
(fma.f64 x (/.f64 #s(literal -230753/99229 binary64) (*.f64 x x)) x) |
(* -1 (* x (- (* 230753/99229 (/ 1 (pow x 2))) (+ 1 (/ 23075300000/9846394441 (pow x 3)))))) |
(fma.f64 x (+.f64 (/.f64 #s(literal 23075300000/9846394441 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -230753/99229 binary64) (*.f64 x x))) x) |
(* -1 (* x (- (+ (* -1 (/ (- 23075300000/9846394441 (* 2307530000000000/977047873985989 (/ 1 x))) (pow x 3))) (* 230753/99229 (/ 1 (pow x 2)))) 1))) |
(+.f64 x (fma.f64 x (/.f64 #s(literal -230753/99229 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 23075300000/9846394441 binary64) (/.f64 #s(literal -2307530000000000/977047873985989 binary64) x)) (*.f64 x x)))) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -22897389437/10000000000 x)) |
(fma.f64 x #s(literal -22897389437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 2272085056444073/1000000000000000 x) 22897389437/10000000000))) |
(fma.f64 x (fma.f64 x #s(literal 2272085056444073/1000000000000000 binary64) #s(literal -22897389437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* x (+ 2272085056444073/1000000000000000 (* -225456728065888919717/100000000000000000000 x))) 22897389437/10000000000))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -225456728065888919717/100000000000000000000 binary64) #s(literal 2272085056444073/1000000000000000 binary64)) #s(literal -22897389437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(/ 230753/99229 x) |
(/.f64 #s(literal 230753/99229 binary64) x) |
(/ (- 230753/99229 (* 23075300000/9846394441 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 230753/99229 binary64) (/.f64 #s(literal -23075300000/9846394441 binary64) x)) x) |
(/ (- (+ 230753/99229 (/ 2307530000000000/977047873985989 (pow x 2))) (* 23075300000/9846394441 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 230753/99229 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2307530000000000/977047873985989 binary64) x) #s(literal -23075300000/9846394441 binary64)) x)) x) |
(/ (- (+ 230753/99229 (/ 2307530000000000/977047873985989 (pow x 2))) (+ (* 23075300000/9846394441 (/ 1 x)) (* 230753000000000000000/96951483487755702481 (/ 1 (pow x 3))))) x) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2307530000000000/977047873985989 binary64) x) #s(literal -23075300000/9846394441 binary64)) x) (+.f64 #s(literal 230753/99229 binary64) (/.f64 #s(literal -230753000000000000000/96951483487755702481 binary64) (*.f64 x (*.f64 x x))))) x) |
(/ 230753/99229 x) |
(/.f64 #s(literal 230753/99229 binary64) x) |
(* -1 (/ (- (* 23075300000/9846394441 (/ 1 x)) 230753/99229) x)) |
(/.f64 (+.f64 #s(literal 230753/99229 binary64) (/.f64 #s(literal -23075300000/9846394441 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 2307530000000000/977047873985989 (/ 1 x)) 23075300000/9846394441) x)) 230753/99229) x)) |
(/.f64 (+.f64 #s(literal 230753/99229 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2307530000000000/977047873985989 binary64) x) #s(literal -23075300000/9846394441 binary64)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 230753000000000000000/96951483487755702481 (/ 1 x)) 2307530000000000/977047873985989) x)) 23075300000/9846394441) x)) 230753/99229) x)) |
(/.f64 (-.f64 #s(literal 230753/99229 binary64) (/.f64 (+.f64 #s(literal 23075300000/9846394441 binary64) (/.f64 (+.f64 (/.f64 #s(literal 230753000000000000000/96951483487755702481 binary64) x) #s(literal -2307530000000000/977047873985989 binary64)) x)) x)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 99229/100000 x)) |
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) |
(+ 1 (* 99229/100000 x)) |
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) |
(+ 1 (* 99229/100000 x)) |
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) |
(* 99229/100000 x) |
(*.f64 x #s(literal 99229/100000 binary64)) |
(* x (+ 99229/100000 (/ 1 x))) |
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) |
(* x (+ 99229/100000 (/ 1 x))) |
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) |
(* x (+ 99229/100000 (/ 1 x))) |
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) |
(* 99229/100000 x) |
(*.f64 x #s(literal 99229/100000 binary64)) |
(* x (+ 99229/100000 (/ 1 x))) |
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) |
(* x (+ 99229/100000 (/ 1 x))) |
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) |
(* x (+ 99229/100000 (/ 1 x))) |
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) |
-27061/99229 |
#s(literal -27061/99229 binary64) |
(- x 27061/99229) |
(+.f64 x #s(literal -27061/99229 binary64)) |
(- x 27061/99229) |
(+.f64 x #s(literal -27061/99229 binary64)) |
(- x 27061/99229) |
(+.f64 x #s(literal -27061/99229 binary64)) |
x |
(* x (- 1 (* 27061/99229 (/ 1 x)))) |
(+.f64 x #s(literal -27061/99229 binary64)) |
(* x (- 1 (* 27061/99229 (/ 1 x)))) |
(+.f64 x #s(literal -27061/99229 binary64)) |
(* x (- 1 (* 27061/99229 (/ 1 x)))) |
(+.f64 x #s(literal -27061/99229 binary64)) |
x |
(* -1 (* x (- (* 27061/99229 (/ 1 x)) 1))) |
(+.f64 x #s(literal -27061/99229 binary64)) |
(* -1 (* x (- (* 27061/99229 (/ 1 x)) 1))) |
(+.f64 x #s(literal -27061/99229 binary64)) |
(* -1 (* x (- (* 27061/99229 (/ 1 x)) 1))) |
(+.f64 x #s(literal -27061/99229 binary64)) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* -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 (* -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)) |
(* -2003561459544073/1000000000000000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000)) |
(*.f64 x (fma.f64 x #s(literal -2003561459544073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64))) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 2003561459544073/1000000000000000 (/ 230753/100000 (pow x 2))))) |
(*.f64 x (fma.f64 x (+.f64 #s(literal -2003561459544073/1000000000000000 binary64) (/.f64 #s(literal -230753/100000 binary64) (*.f64 x x))) #s(literal 30191289437/10000000000 binary64))) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 2003561459544073/1000000000000000 (/ 230753/100000 (pow x 2))))) |
(*.f64 x (fma.f64 x (+.f64 #s(literal -2003561459544073/1000000000000000 binary64) (/.f64 #s(literal -230753/100000 binary64) (*.f64 x x))) #s(literal 30191289437/10000000000 binary64))) |
(* -2003561459544073/1000000000000000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))) |
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000)) |
(*.f64 x (fma.f64 x #s(literal -2003561459544073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64))) |
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 2003561459544073/1000000000000000)) |
(*.f64 x (fma.f64 x (+.f64 #s(literal -2003561459544073/1000000000000000 binary64) (/.f64 #s(literal -230753/100000 binary64) (*.f64 x x))) #s(literal 30191289437/10000000000 binary64))) |
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 2003561459544073/1000000000000000)) |
(*.f64 x (fma.f64 x (+.f64 #s(literal -2003561459544073/1000000000000000 binary64) (/.f64 #s(literal -230753/100000 binary64) (*.f64 x x))) #s(literal 30191289437/10000000000 binary64))) |
30191289437/10000000000 |
#s(literal 30191289437/10000000000 binary64) |
(+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x)) |
(fma.f64 x #s(literal -2003561459544073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) |
(+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x)) |
(fma.f64 x #s(literal -2003561459544073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) |
(+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x)) |
(fma.f64 x #s(literal -2003561459544073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) |
(* -2003561459544073/1000000000000000 x) |
(*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)) |
(* x (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000)) |
(fma.f64 x #s(literal -2003561459544073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) |
(* x (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000)) |
(fma.f64 x #s(literal -2003561459544073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) |
(* x (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000)) |
(fma.f64 x #s(literal -2003561459544073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) |
(* -2003561459544073/1000000000000000 x) |
(*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)) |
(* -1 (* x (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))) |
(fma.f64 x #s(literal -2003561459544073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) |
(* -1 (* x (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))) |
(fma.f64 x #s(literal -2003561459544073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) |
(* -1 (* x (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))) |
(fma.f64 x #s(literal -2003561459544073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) |
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(* 179503363065659419717/100000000000000000000 (pow x 3)) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))) |
(* (pow x 3) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64))) |
(* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(*.f64 (*.f64 x x) (fma.f64 x (+.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) (/.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x x))) #s(literal -1900161040244073/1000000000000000 binary64))) |
(* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (+ (* 1900161040244073/1000000000000000 (/ 1 x)) (* 230753/100000 (/ 1 (pow x 3)))))) |
(*.f64 (*.f64 x x) (+.f64 (fma.f64 x (+.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) (/.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x x))) #s(literal -1900161040244073/1000000000000000 binary64)) (*.f64 x (/.f64 #s(literal -230753/100000 binary64) (*.f64 x (*.f64 x x)))))) |
(* 179503363065659419717/100000000000000000000 (pow x 3)) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))) |
(* -1 (* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000))) |
(*.f64 (*.f64 x x) (fma.f64 x (+.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) (/.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x x))) #s(literal -1900161040244073/1000000000000000 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000))) |
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 230753/100000 binary64) x) #s(literal -30191289437/10000000000 binary64)) x) #s(literal 1900161040244073/1000000000000000 binary64)) x))) |
30191289437/10000000000 |
#s(literal 30191289437/10000000000 binary64) |
(+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)) |
(fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) |
(+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000))) |
(fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) |
(+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000))) |
(fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) |
(* 179503363065659419717/100000000000000000000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))) |
(* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64))) |
(* (pow x 2) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(*.f64 x (fma.f64 x (+.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) (/.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x x))) #s(literal -1900161040244073/1000000000000000 binary64))) |
(* (pow x 2) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(*.f64 x (fma.f64 x (+.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) (/.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x x))) #s(literal -1900161040244073/1000000000000000 binary64))) |
(* 179503363065659419717/100000000000000000000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))) |
(* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64))) |
(* (pow x 2) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x)))) |
(*.f64 x (fma.f64 x (+.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) (/.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x x))) #s(literal -1900161040244073/1000000000000000 binary64))) |
(* (pow x 2) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x)))) |
(*.f64 x (fma.f64 x (+.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) (/.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x x))) #s(literal -1900161040244073/1000000000000000 binary64))) |
-1900161040244073/1000000000000000 |
#s(literal -1900161040244073/1000000000000000 binary64) |
(- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) |
(fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) |
(- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) |
(fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) |
(- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) |
(fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) |
(* 179503363065659419717/100000000000000000000 x) |
(*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)) |
(* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) |
(* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) |
(* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) |
(fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) |
(* 179503363065659419717/100000000000000000000 x) |
(*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)) |
(* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))) |
(fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) |
(* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))) |
(fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) |
(* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))) |
(fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) |
-230753/100000 |
#s(literal -230753/100000 binary64) |
(- (* 30191289437/10000000000 x) 230753/100000) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x))) 230753/100000) |
(fma.f64 x (fma.f64 x #s(literal -2003561459544073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(- (* x (+ 30191289437/10000000000 (* x (- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000)))) 230753/100000) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64) #s(literal -2003561459544073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
x |
(* x (- 1 (* 27061/99229 (/ 1 x)))) |
(+.f64 x #s(literal -27061/99229 binary64)) |
(* x (+ 1 (* -1 (/ (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) x)))) |
(+.f64 x (+.f64 #s(literal -27061/99229 binary64) (/.f64 #s(literal -20191289437/9846394441 binary64) x))) |
(* x (- (+ 1 (* 2019128943700000/977047873985989 (/ 1 (pow x 3)))) (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2))))) |
(fma.f64 x (/.f64 (-.f64 #s(literal -27061/99229 binary64) (/.f64 (-.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 #s(literal 2019128943700000/977047873985989 binary64) x)) x)) x) x) |
x |
(* -1 (* x (- (* 27061/99229 (/ 1 x)) 1))) |
(+.f64 x #s(literal -27061/99229 binary64)) |
(* -1 (* x (- (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2))) 1))) |
(+.f64 x (fma.f64 x (/.f64 #s(literal -20191289437/9846394441 binary64) (*.f64 x x)) #s(literal -27061/99229 binary64))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- 20191289437/9846394441 (* 2019128943700000/977047873985989 (/ 1 x))) x)) 27061/99229) x)) 1))) |
(fma.f64 x (/.f64 (-.f64 #s(literal -27061/99229 binary64) (/.f64 (-.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 #s(literal 2019128943700000/977047873985989 binary64) x)) x)) x) x) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 2003561459544073/1000000000000000 x) 20191289437/10000000000))) |
(fma.f64 x (fma.f64 x #s(literal 2003561459544073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* x (+ 2003561459544073/1000000000000000 (* -198811400069098819717/100000000000000000000 x))) 20191289437/10000000000))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64) #s(literal 2003561459544073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
27061/99229 |
#s(literal 27061/99229 binary64) |
(+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) |
(+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)) |
(- (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) (/ 2019128943700000/977047873985989 (pow x 2))) |
(+.f64 #s(literal 27061/99229 binary64) (/.f64 (-.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 #s(literal 2019128943700000/977047873985989 binary64) x)) x)) |
(- (+ 27061/99229 (+ (* 20191289437/9846394441 (/ 1 x)) (* 201912894370000000000/96951483487755702481 (/ 1 (pow x 3))))) (/ 2019128943700000/977047873985989 (pow x 2))) |
(+.f64 #s(literal 27061/99229 binary64) (/.f64 (+.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 (+.f64 (/.f64 #s(literal 201912894370000000000/96951483487755702481 binary64) x) #s(literal -2019128943700000/977047873985989 binary64)) x)) x)) |
27061/99229 |
#s(literal 27061/99229 binary64) |
(+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) |
(+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)) |
(+ 27061/99229 (* -1 (/ (- (* 2019128943700000/977047873985989 (/ 1 x)) 20191289437/9846394441) x))) |
(+.f64 #s(literal 27061/99229 binary64) (/.f64 (-.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 #s(literal 2019128943700000/977047873985989 binary64) x)) x)) |
(+ 27061/99229 (* -1 (/ (- (* -1 (/ (- (* 201912894370000000000/96951483487755702481 (/ 1 x)) 2019128943700000/977047873985989) x)) 20191289437/9846394441) x))) |
(+.f64 #s(literal 27061/99229 binary64) (/.f64 (+.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 (+.f64 (/.f64 #s(literal 201912894370000000000/96951483487755702481 binary64) x) #s(literal -2019128943700000/977047873985989 binary64)) x)) x)) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* 27061/100000 x)) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* 27061/100000 x)) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* 27061/100000 x)) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
Compiled 12 754 to 1 532 computations (88% saved)
19 alts after pruning (8 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 558 | 4 | 562 |
| Fresh | 1 | 4 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 8 | 8 |
| Total | 561 | 19 | 580 |
| Status | Accuracy | Program |
|---|---|---|
| 47.4% | (fma.f64 (*.f64 x x) #s(literal -1900161040244073/1000000000000000 binary64) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))) | |
| 48.3% | (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 225456728065888919717/100000000000000000000 binary64) #s(literal -2272085056444073/1000000000000000 binary64)) #s(literal 32897389437/10000000000 binary64)) #s(literal -230753/100000 binary64)) | |
| ✓ | 48.9% | (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
| ✓ | 47.4% | (fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
| 46.8% | (fma.f64 x (fma.f64 x #s(literal -2272085056444073/1000000000000000 binary64) #s(literal 32897389437/10000000000 binary64)) #s(literal -230753/100000 binary64)) | |
| 54.9% | (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) | |
| 54.3% | (fma.f64 #s(literal 32897389437/10000000000 binary64) x #s(literal -230753/100000 binary64)) | |
| ✓ | 54.9% | (-.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)))) |
| ✓ | 97.8% | (-.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)))) |
| ✓ | 100.0% | (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (+.f64 (*.f64 x #s(literal 99229/100000 binary64)) (fma.f64 x (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 1 binary64))))) |
| 54.8% | (-.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))))) | |
| 53.8% | (-.f64 x (/.f64 (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x)) | |
| ✓ | 54.7% | (-.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) |
| 54.4% | (-.f64 x (/.f64 #s(literal 230753/99229 binary64) x)) | |
| ✓ | 97.0% | (-.f64 x #s(literal 230753/100000 binary64)) |
| ✓ | 60.0% | (-.f64 x #s(literal 27061/99229 binary64)) |
| ✓ | 55.0% | x |
| ✓ | 46.5% | #s(literal -230753/100000 binary64) |
Compiled 379 to 200 computations (47.2% saved)
| Inputs |
|---|
#s(literal -230753/100000 binary64) |
x |
(-.f64 x #s(literal 27061/99229 binary64)) |
(-.f64 x #s(literal 230753/100000 binary64)) |
(fma.f64 #s(literal 32897389437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
(-.f64 x (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) |
(fma.f64 x (fma.f64 x #s(literal -2272085056444073/1000000000000000 binary64) #s(literal 32897389437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(fma.f64 x (fma.f64 x #s(literal -2003561459544073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(-.f64 x (/.f64 #s(literal 230753/99229 binary64) x)) |
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) |
(fma.f64 (*.f64 x x) #s(literal -1900161040244073/1000000000000000 binary64) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(fma.f64 x (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)) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 225456728065888919717/100000000000000000000 binary64) #s(literal -2272085056444073/1000000000000000 binary64)) #s(literal 32897389437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(-.f64 x (/.f64 #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 (/.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 (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) 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 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (+.f64 (*.f64 x #s(literal 99229/100000 binary64)) (fma.f64 x (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 1 binary64))))) |
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x #s(literal 99229/100000 binary64)) (fma.f64 x (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 1 binary64))))) |
| Outputs |
|---|
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (+.f64 (*.f64 x #s(literal 99229/100000 binary64)) (fma.f64 x (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 1 binary64))))) |
2 calls:
| 9.0ms | 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 #s(literal 32897389437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
(-.f64 x (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) |
(fma.f64 x (fma.f64 x #s(literal -2272085056444073/1000000000000000 binary64) #s(literal 32897389437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(fma.f64 x (fma.f64 x #s(literal -2003561459544073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(-.f64 x (/.f64 #s(literal 230753/99229 binary64) x)) |
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) |
(fma.f64 (*.f64 x x) #s(literal -1900161040244073/1000000000000000 binary64) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(fma.f64 x (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)) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 225456728065888919717/100000000000000000000 binary64) #s(literal -2272085056444073/1000000000000000 binary64)) #s(literal 32897389437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(-.f64 x (/.f64 #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 (/.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 (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) 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)))) |
| 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 |
| 6.0ms | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 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 #s(literal 32897389437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
(-.f64 x (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) |
(fma.f64 x (fma.f64 x #s(literal -2272085056444073/1000000000000000 binary64) #s(literal 32897389437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(fma.f64 x (fma.f64 x #s(literal -2003561459544073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(-.f64 x (/.f64 #s(literal 230753/99229 binary64) x)) |
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) |
(fma.f64 (*.f64 x x) #s(literal -1900161040244073/1000000000000000 binary64) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(fma.f64 x (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)) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 225456728065888919717/100000000000000000000 binary64) #s(literal -2272085056444073/1000000000000000 binary64)) #s(literal 32897389437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(-.f64 x (/.f64 #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 (/.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 (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) 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 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) |
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)))) |
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 1 | x |
| 97.9% | 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 #s(literal 32897389437/10000000000 binary64) x #s(literal -230753/100000 binary64)) |
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) |
(-.f64 x (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) |
(fma.f64 x (fma.f64 x #s(literal -2272085056444073/1000000000000000 binary64) #s(literal 32897389437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(fma.f64 x (fma.f64 x #s(literal -2003561459544073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(-.f64 x (/.f64 #s(literal 230753/99229 binary64) x)) |
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) |
(fma.f64 (*.f64 x x) #s(literal -1900161040244073/1000000000000000 binary64) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
(fma.f64 x (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)) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 225456728065888919717/100000000000000000000 binary64) #s(literal -2272085056444073/1000000000000000 binary64)) #s(literal 32897389437/10000000000 binary64)) #s(literal -230753/100000 binary64)) |
| 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 |
|---|---|---|
| 97.0% | 1 | x |
| 97.0% | 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)) |
| Outputs |
|---|
x |
#s(literal -230753/100000 binary64) |
x |
2 calls:
| 4.0ms | (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 3 | x |
| 97.7% | 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 |
|---|---|---|
| 46.5% | 1 | x |
| 46.5% | 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 | -2.3074633780220766 | 7.701173687164935 |
| 0.0ms | -91.95577616237199 | -7.081402075287031 |
Compiled 21 to 18 computations (14.3% saved)
| 1× | egg-herbie |
| 136× | unsub-neg_binary64 |
| 118× | neg-mul-1_binary64 |
| 70× | *-commutative_binary64 |
| 64× | +-commutative_binary64 |
| 58× | distribute-rgt-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 86 |
| 1 | 59 | 86 |
| 2 | 89 | 86 |
| 3 | 122 | 86 |
| 4 | 171 | 86 |
| 5 | 202 | 86 |
| 6 | 294 | 86 |
| 7 | 438 | 86 |
| 8 | 455 | 86 |
| 9 | 464 | 86 |
| 10 | 465 | 86 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (+.f64 (*.f64 x #s(literal 99229/100000 binary64)) (fma.f64 x (*.f64 x #s(literal 4481/100000 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 (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) |
(-.f64 x #s(literal 230753/100000 binary64)) |
(if (<=.f64 (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) #s(literal -50 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)) (+.f64 (*.f64 x #s(literal 99229/100000 binary64)) (fma.f64 x (*.f64 x #s(literal 4481/100000 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 (/.f64 #s(literal 230753/100000 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) |
(-.f64 x #s(literal 230753/100000 binary64)) |
(if (<=.f64 (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) #s(literal -50 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 -50 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) |
| 10 822× | accelerator-lowering-fma.f32 |
| 10 822× | 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 | 23 | 88 |
| 1 | 152 | 82 |
| 2 | 1418 | 82 |
| 0 | 8545 | 73 |
| 0 | 227 | 1360 |
| 1 | 662 | 1326 |
| 2 | 1604 | 1286 |
| 3 | 4671 | 1254 |
| 0 | 8354 | 1105 |
| 0 | 128 | 590 |
| 1 | 360 | 582 |
| 2 | 869 | 556 |
| 3 | 2171 | 520 |
| 4 | 6808 | 520 |
| 0 | 8193 | 466 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 171 to 99 computations (42.1% saved)
Compiled 210 to 100 computations (52.4% saved)
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