
Time bar (total: 12.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 3 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 4 |
| 87.5% | 87.5% | 12.5% | 0% | 0% | 0% | 0% | 5 |
| 93.8% | 93.7% | 6.2% | 0% | 0% | 0% | 0% | 6 |
| 96.9% | 96.8% | 3.1% | 0% | 0% | 0% | 0% | 7 |
| 98.4% | 98.4% | 1.6% | 0% | 0% | 0% | 0% | 8 |
| 99.2% | 99.2% | 0.8% | 0% | 0% | 0% | 0% | 9 |
| 99.6% | 99.6% | 0.4% | 0% | 0% | 0% | 0% | 10 |
| 99.8% | 99.8% | 0.2% | 0% | 0% | 0% | 0% | 11 |
| 99.9% | 99.9% | 0.1% | 0% | 0% | 0% | 0% | 12 |
Compiled 21 to 18 computations (14.3% saved)
| 1.6s | 8 256× | 0 | valid |
const: 746.0ms (57.2% of total)ival-mult: 262.0ms (20.1% of total)ival-add: 174.0ms (13.3% of total)ival-div: 61.0ms (4.7% of total)ival-sub: 46.0ms (3.5% of total)ival-true: 6.0ms (0.5% of total)exact: 5.0ms (0.4% of total)ival-assert: 3.0ms (0.2% of total)| 2× | egg-herbie |
| 3 064× | accelerator-lowering-fma.f32 |
| 3 064× | accelerator-lowering-fma.f64 |
| 1 288× | *-lowering-*.f32 |
| 1 288× | *-lowering-*.f64 |
| 1 124× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 65 |
| 1 | 72 | 57 |
| 2 | 200 | 57 |
| 3 | 523 | 57 |
| 4 | 1029 | 57 |
| 5 | 1706 | 57 |
| 6 | 2922 | 57 |
| 7 | 4153 | 57 |
| 8 | 4678 | 57 |
| 9 | 4853 | 57 |
| 10 | 4910 | 57 |
| 11 | 4944 | 57 |
| 12 | 5574 | 57 |
| 13 | 6084 | 57 |
| 14 | 6417 | 57 |
| 15 | 6439 | 57 |
| 16 | 6449 | 57 |
| 17 | 6457 | 57 |
| 18 | 6467 | 57 |
| 19 | 6479 | 57 |
| 20 | 6483 | 57 |
| 21 | 6483 | 57 |
| 22 | 6571 | 57 |
| 23 | 6883 | 57 |
| 24 | 6885 | 57 |
| 25 | 6885 | 57 |
| 26 | 7237 | 57 |
| 0 | 16 | 19 |
| 1 | 33 | 19 |
| 2 | 60 | 19 |
| 3 | 86 | 19 |
| 4 | 119 | 19 |
| 5 | 156 | 19 |
| 6 | 250 | 19 |
| 7 | 557 | 19 |
| 8 | 1413 | 19 |
| 9 | 2940 | 19 |
| 10 | 3842 | 19 |
| 11 | 3945 | 19 |
| 12 | 3975 | 19 |
| 13 | 3994 | 19 |
| 14 | 3997 | 19 |
| 15 | 4273 | 19 |
| 16 | 5193 | 19 |
| 17 | 5199 | 19 |
| 18 | 5199 | 19 |
| 19 | 5199 | 19 |
| 20 | 5303 | 19 |
| 21 | 6170 | 19 |
| 22 | 6488 | 19 |
| 23 | 6607 | 19 |
| 24 | 6615 | 19 |
| 25 | 6615 | 19 |
| 26 | 6615 | 19 |
| 0 | 6615 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
(* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) |
| Outputs |
|---|
(* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) |
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
| Inputs |
|---|
(* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) |
(* 70711/100000 (- (/ (+ 230753/100000 (* (neg x) 27061/100000)) (+ 1 (* (neg x) (+ 99229/100000 (* (neg x) 4481/100000))))) (neg x))) |
(neg (* 70711/100000 (- (/ (+ 230753/100000 (* (neg x) 27061/100000)) (+ 1 (* (neg x) (+ 99229/100000 (* (neg x) 4481/100000))))) (neg x)))) |
| Outputs |
|---|
(* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) |
(+ (/ (+ 16316775383/10000000000 (* x 1913510371/10000000000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (* x -70711/100000)) |
(* 70711/100000 (- (/ (+ 230753/100000 (* (neg x) 27061/100000)) (+ 1 (* (neg x) (+ 99229/100000 (* (neg x) 4481/100000))))) (neg x))) |
(+ (/ (+ -16316775383/10000000000 (* x 1913510371/10000000000)) (+ -1 (* x (- 99229/100000 (* x 4481/100000))))) (* 70711/100000 x)) |
(neg (* 70711/100000 (- (/ (+ 230753/100000 (* (neg x) 27061/100000)) (+ 1 (* (neg x) (+ 99229/100000 (* (neg x) 4481/100000))))) (neg x)))) |
(+ (/ (+ -16316775383/10000000000 (* x 1913510371/10000000000)) (- 1 (* x (- 99229/100000 (* x 4481/100000))))) (* x -70711/100000)) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 70 | 0 | - | 0 | - | (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) |
| 0 | 0 | - | 0 | - | (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 4481/100000 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 99229/100000 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 27061/100000 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)) |
| 0 | 0 | - | 0 | - | #s(literal 70711/100000 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) |
| 0 | 0 | - | 0 | - | #s(literal 27061/100000 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 4481/100000 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 230753/100000 binary64) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 93.0ms | 512× | 0 | valid |
Compiled 224 to 68 computations (69.6% saved)
const: 45.0ms (60.9% of total)ival-mult: 16.0ms (21.6% of total)ival-add: 7.0ms (9.5% of total)ival-div: 3.0ms (4.1% of total)ival-sub: 2.0ms (2.7% of total)ival-true: 1.0ms (1.4% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)) |
Compiled 20 to 16 computations (20% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)) |
| ✓ | cost-diff | 192 | (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) |
| ✓ | cost-diff | 192 | (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) |
| ✓ | cost-diff | 192 | (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) |
| 3 064× | accelerator-lowering-fma.f32 |
| 3 064× | accelerator-lowering-fma.f64 |
| 1 288× | *-lowering-*.f32 |
| 1 288× | *-lowering-*.f64 |
| 1 086× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 90 |
| 1 | 33 | 90 |
| 2 | 60 | 90 |
| 3 | 86 | 90 |
| 4 | 119 | 90 |
| 5 | 156 | 90 |
| 6 | 250 | 90 |
| 7 | 557 | 90 |
| 8 | 1413 | 90 |
| 9 | 2940 | 90 |
| 10 | 3842 | 90 |
| 11 | 3945 | 90 |
| 12 | 3975 | 90 |
| 13 | 3994 | 90 |
| 14 | 3997 | 90 |
| 15 | 4273 | 90 |
| 16 | 5193 | 90 |
| 17 | 5199 | 90 |
| 18 | 5199 | 90 |
| 19 | 5199 | 90 |
| 20 | 5303 | 90 |
| 21 | 6170 | 90 |
| 22 | 6488 | 90 |
| 23 | 6607 | 90 |
| 24 | 6615 | 90 |
| 25 | 6615 | 90 |
| 26 | 6615 | 90 |
| 0 | 6615 | 75 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) |
70711/100000 |
(- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) |
(/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) |
(+ 230753/100000 (* x 27061/100000)) |
230753/100000 |
(* x 27061/100000) |
x |
27061/100000 |
(+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) |
1 |
(* x (+ 99229/100000 (* x 4481/100000))) |
(+ 99229/100000 (* x 4481/100000)) |
99229/100000 |
(* x 4481/100000) |
4481/100000 |
| Outputs |
|---|
(* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) |
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
70711/100000 |
#s(literal 70711/100000 binary64) |
(- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) |
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) |
(/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) |
(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) |
(+ 230753/100000 (* x 27061/100000)) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(* x 27061/100000) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 0 binary64)) |
x |
27061/100000 |
#s(literal 27061/100000 binary64) |
(+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(* x (+ 99229/100000 (* x 4481/100000))) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 0 binary64)) |
(+ 99229/100000 (* x 4481/100000)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
99229/100000 |
#s(literal 99229/100000 binary64) |
(* x 4481/100000) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 0 binary64)) |
4481/100000 |
#s(literal 4481/100000 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)) |
| ✓ | accuracy | 99.4% | (*.f64 x #s(literal 4481/100000 binary64)) |
| ✓ | accuracy | 99.4% | (*.f64 x #s(literal 27061/100000 binary64)) |
| ✓ | accuracy | 74.3% | (/.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)))))) |
| 79.0ms | 256× | 0 | valid |
Compiled 92 to 18 computations (80.4% saved)
const: 34.0ms (70.5% of total)ival-mult: 8.0ms (16.6% of total)ival-add: 3.0ms (6.2% of total)ival-div: 2.0ms (4.1% of total)ival-sub: 1.0ms (2.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ 230753/100000 (* x 27061/100000))> |
#<alt (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))> |
#<alt (+ 99229/100000 (* x 4481/100000))> |
#<alt (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x))> |
#<alt (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))))> |
#<alt (* x 27061/100000)> |
#<alt (* x 4481/100000)> |
| Outputs |
|---|
#<alt 230753/100000> |
#<alt (+ 230753/100000 (* 27061/100000 x))> |
#<alt (+ 230753/100000 (* 27061/100000 x))> |
#<alt (+ 230753/100000 (* 27061/100000 x))> |
#<alt (* 27061/100000 x)> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* 27061/100000 x)> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt 1> |
#<alt (+ 1 (* 99229/100000 x))> |
#<alt (+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))> |
#<alt (+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))> |
#<alt (* 4481/100000 (pow x 2))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* 4481/100000 (pow x 2))> |
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt 99229/100000> |
#<alt (+ 99229/100000 (* 4481/100000 x))> |
#<alt (+ 99229/100000 (* 4481/100000 x))> |
#<alt (+ 99229/100000 (* 4481/100000 x))> |
#<alt (* 4481/100000 x)> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* 4481/100000 x)> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt 16316775383/10000000000> |
#<alt (+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))> |
#<alt (+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)))> |
#<alt (+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000)))> |
#<alt (* -70711/100000 x)> |
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))> |
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))> |
#<alt (* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))> |
#<alt (* -70711/100000 x)> |
#<alt (* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2))))))> |
#<alt 230753/100000> |
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))> |
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))> |
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))> |
#<alt (/ 27061/4481 x)> |
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)> |
#<alt (/ 27061/4481 x)> |
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))> |
#<alt (* 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)> |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) |
| 0.0ms | x | @ | -inf | (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) |
| 0.0ms | x | @ | inf | (+ 230753/100000 (* x 27061/100000)) |
| 0.0ms | x | @ | 0 | (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) |
| 0.0ms | x | @ | inf | (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) |
| 1× | batch-egg-rewrite |
| 7 938× | accelerator-lowering-fma.f32 |
| 7 938× | accelerator-lowering-fma.f64 |
| 5 804× | *-lowering-*.f32 |
| 5 804× | *-lowering-*.f64 |
| 4 072× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 59 |
| 1 | 93 | 59 |
| 2 | 815 | 59 |
| 0 | 8568 | 49 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 230753/100000 (* x 27061/100000)) |
(+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) |
(+ 99229/100000 (* x 4481/100000)) |
(* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)) |
(/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) |
(* x 27061/100000) |
(* x 4481/100000) |
| Outputs |
|---|
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) |
(+.f64 #s(literal 230753/100000 binary64) (neg.f64 (*.f64 x #s(literal -27061/100000 binary64)))) |
(+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 27061/100000 binary64)))) |
(+.f64 #s(literal 230753/100000 binary64) (*.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) |
(+.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))) (neg.f64 (/.f64 (*.f64 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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)) (*.f64 x #s(literal 6244406933/10000000000 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64)))) |
(/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64))) |
(/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64)) (-.f64 (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)) (*.f64 x #s(literal 6244406933/10000000000 binary64)))) |
(/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64))))) |
(/.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 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 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))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64))) (neg.f64 (-.f64 (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)) (*.f64 x #s(literal 6244406933/10000000000 binary64))))) |
(/.f64 (+.f64 #s(literal -53246947009/10000000000 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) |
(/.f64 (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 53246947009/10000000000 binary64) (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))) (*.f64 (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))))) (*.f64 (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64)))) (fma.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -53246947009/10000000000 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64))))) (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal -53246947009/10000000000 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64))) (neg.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))) (/.f64 #s(literal 53246947009/10000000000 binary64) (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))) (fma.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 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 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 (/.f64 #s(literal 53246947009/10000000000 binary64) (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))) (/.f64 #s(literal 53246947009/10000000000 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))) (-.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 #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 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64))) (fma.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64))) (-.f64 (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)) (*.f64 x #s(literal 6244406933/10000000000 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.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 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -53246947009/10000000000 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64))) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal -53246947009/10000000000 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64)))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1854924355574497323849180998921432230216877326433/1000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 7782059939393690265947066921031556117141/1000000000000000000000000000000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)))) (+.f64 #s(literal 150967733773584690183223851121729/1000000000000000000000000000000 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 150967733773584690183223851121729/1000000000000000000000000000000 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 392701940846296607456136361/1000000000000000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)))) (+.f64 #s(literal 12286892763167777/1000000000000000 binary64) (*.f64 #s(literal -19816708627981/1000000000000000 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (-.f64 #s(literal 150967733773584690183223851121729/1000000000000000000000000000000 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 392701940846296607456136361/1000000000000000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (+.f64 #s(literal 2835237365779254046081/100000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 2835237365779254046081/100000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 536259952181793841/100000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64)) #s(literal 1 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 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) |
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)))) |
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)) (*.f64 x #s(literal 6244406933/10000000000 binary64))))) |
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64))) #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) |
(*.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64))))) |
(*.f64 (+.f64 #s(literal -53246947009/10000000000 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64))))) |
(+.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) #s(literal 1 binary64)) |
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(*.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
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(*.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))))) |
(*.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))) |
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(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)))) |
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(*.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))) |
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(*.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64)) (fma.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))))) |
(*.f64 (/.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64))) (fma.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) #s(literal 1 binary64)))) (fma.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(*.f64 #s(literal 27061/100000 binary64) x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(*.f64 #s(literal 4481/100000 binary64) x) |
| 1× | egg-herbie |
| 9 072× | accelerator-lowering-fma.f32 |
| 9 072× | accelerator-lowering-fma.f64 |
| 2 932× | *-lowering-*.f32 |
| 2 932× | *-lowering-*.f64 |
| 1 740× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 136 | 500 |
| 1 | 369 | 492 |
| 2 | 855 | 484 |
| 3 | 2063 | 468 |
| 4 | 5223 | 468 |
| 0 | 8086 | 417 |
| 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)))) |
16316775383/10000000000 |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) |
(* -70711/100000 x) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000)) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(* -70711/100000 x) |
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
230753/100000 |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(/ 27061/4481 x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) |
(/ 27061/4481 x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) |
(* 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) |
| 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)) |
16316775383/10000000000 |
#s(literal 16316775383/10000000000 binary64) |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) #s(literal 134362287316698645903/100000000000000000000 binary64)) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
(* -70711/100000 x) |
(*.f64 x #s(literal -70711/100000 binary64)) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000)) |
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x)) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(fma.f64 x (+.f64 #s(literal -70711/100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1913510371/448100000 binary64) x)) |
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x #s(literal -1913510371/448100000 binary64) (-.f64 #s(literal 3648757816023/62748003125 binary64) (/.f64 #s(literal 335267464412236892/281173802003125 binary64) x))) (*.f64 x #s(literal 70711/100000 binary64)))) |
(* -70711/100000 x) |
(*.f64 x #s(literal -70711/100000 binary64)) |
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x)) |
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(fma.f64 x (+.f64 #s(literal -70711/100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1913510371/448100000 binary64) x)) |
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x #s(literal -1913510371/448100000 binary64) (-.f64 #s(literal 3648757816023/62748003125 binary64) (/.f64 #s(literal 335267464412236892/281173802003125 binary64) x))) (*.f64 x #s(literal 70711/100000 binary64)))) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 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)) |
Compiled 15 384 to 1 989 computations (87.1% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 465 | 14 | 479 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 466 | 14 | 480 |
| Status | Accuracy | Program |
|---|---|---|
| 99.9% | (fma.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #s(literal 70711/100000 binary64) (*.f64 #s(literal -70711/100000 binary64) x)) | |
| 54.9% | (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) #s(literal 134362287316698645903/100000000000000000000 binary64)) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) | |
| ▶ | 53.5% | (fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
| 49.3% | (fma.f64 x #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x)) | |
| 60.1% | (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) | |
| 72.5% | (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal -1 binary64)))) (*.f64 x x)) #s(literal 70711/100000 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))))) | |
| 99.8% | (/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x))) | |
| ▶ | 99.9% | (*.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #s(literal 70711/100000 binary64)) |
| 72.4% | (*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal -1 binary64)))) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))) #s(literal 70711/100000 binary64))) | |
| 72.5% | (*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal -1 binary64)))) (*.f64 x x)) #s(literal 70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))))) | |
| 49.5% | (*.f64 x #s(literal -70711/100000 binary64)) | |
| ▶ | 71.8% | (*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) x)) |
| ▶ | 98.9% | (*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.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))) x)) |
| ▶ | 52.5% | #s(literal 16316775383/10000000000 binary64) |
Compiled 554 to 350 computations (36.8% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 (/.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) x) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64))) |
| ✓ | cost-diff | 128 | (*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) x)) |
| ✓ | cost-diff | 192 | (-.f64 #s(literal 230753/100000 binary64) (*.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 (/.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))) x) |
| ✓ | cost-diff | 128 | (*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.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))) x)) |
| ✓ | cost-diff | 192 | (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) |
| ✓ | cost-diff | 128 | (*.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #s(literal 70711/100000 binary64)) |
| 17 836× | accelerator-lowering-fma.f32 |
| 17 836× | accelerator-lowering-fma.f64 |
| 3 598× | *-lowering-*.f32 |
| 3 598× | *-lowering-*.f64 |
| 2 198× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 290 |
| 1 | 82 | 290 |
| 2 | 156 | 290 |
| 3 | 327 | 290 |
| 4 | 1043 | 290 |
| 5 | 3455 | 290 |
| 6 | 6911 | 290 |
| 0 | 8198 | 243 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x) 70711/100000) |
(- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x) |
(/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) |
(+ (* x 27061/100000) 230753/100000) |
x |
27061/100000 |
230753/100000 |
(+ (* x (+ (* x 4481/100000) 99229/100000)) 1) |
(+ (* x 4481/100000) 99229/100000) |
4481/100000 |
99229/100000 |
1 |
70711/100000 |
16316775383/10000000000 |
(+ (* x (+ (* x 134362287316698645903/100000000000000000000) -2134856267379707/1000000000000000)) 16316775383/10000000000) |
x |
(+ (* x 134362287316698645903/100000000000000000000) -2134856267379707/1000000000000000) |
134362287316698645903/100000000000000000000 |
-2134856267379707/1000000000000000 |
16316775383/10000000000 |
(* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ (* x 99229/100000) 1)) x)) |
70711/100000 |
(- (/ (+ 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) |
x |
27061/100000 |
(+ (* x 99229/100000) 1) |
99229/100000 |
1 |
(* 70711/100000 (- (/ (+ 53246947009/10000000000 (* (* x x) -732297721/10000000000)) (* (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (- 230753/100000 (* x 27061/100000)))) x)) |
70711/100000 |
(- (/ (+ 53246947009/10000000000 (* (* x x) -732297721/10000000000)) (* (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (- 230753/100000 (* x 27061/100000)))) x) |
(/ (+ 53246947009/10000000000 (* (* x x) -732297721/10000000000)) (* (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (- 230753/100000 (* x 27061/100000)))) |
(+ 53246947009/10000000000 (* (* x x) -732297721/10000000000)) |
53246947009/10000000000 |
(* (* x x) -732297721/10000000000) |
(* x x) |
x |
-732297721/10000000000 |
(* (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (- 230753/100000 (* x 27061/100000))) |
(+ (* x (+ (* x 4481/100000) 99229/100000)) 1) |
(+ (* x 4481/100000) 99229/100000) |
4481/100000 |
99229/100000 |
1 |
(- 230753/100000 (* x 27061/100000)) |
230753/100000 |
(* x 27061/100000) |
27061/100000 |
| Outputs |
|---|
(* (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x) 70711/100000) |
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 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) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x) |
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) |
(/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) |
(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) |
(+ (* x 27061/100000) 230753/100000) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
x |
27061/100000 |
#s(literal 27061/100000 binary64) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ (* x (+ (* x 4481/100000) 99229/100000)) 1) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(+ (* x 4481/100000) 99229/100000) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
4481/100000 |
#s(literal 4481/100000 binary64) |
99229/100000 |
#s(literal 99229/100000 binary64) |
1 |
#s(literal 1 binary64) |
70711/100000 |
#s(literal 70711/100000 binary64) |
16316775383/10000000000 |
#s(literal 16316775383/10000000000 binary64) |
(+ (* x (+ (* x 134362287316698645903/100000000000000000000) -2134856267379707/1000000000000000)) 16316775383/10000000000) |
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
x |
(+ (* x 134362287316698645903/100000000000000000000) -2134856267379707/1000000000000000) |
(fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) |
134362287316698645903/100000000000000000000 |
#s(literal 134362287316698645903/100000000000000000000 binary64) |
-2134856267379707/1000000000000000 |
#s(literal -2134856267379707/1000000000000000 binary64) |
16316775383/10000000000 |
#s(literal 16316775383/10000000000 binary64) |
(* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ (* x 99229/100000) 1)) x)) |
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) |
70711/100000 |
#s(literal 70711/100000 binary64) |
(- (/ (+ 230753/100000 (* x 27061/100000)) (+ (* x 99229/100000) 1)) x) |
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) 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) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 0 binary64)) |
x |
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) |
(* 70711/100000 (- (/ (+ 53246947009/10000000000 (* (* x x) -732297721/10000000000)) (* (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (- 230753/100000 (* x 27061/100000)))) x)) |
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -51781504149631/1000000000000000 binary64) #s(literal 3765144869953399/1000000000000000 binary64)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 0 binary64)))) |
70711/100000 |
#s(literal 70711/100000 binary64) |
(- (/ (+ 53246947009/10000000000 (* (* x x) -732297721/10000000000)) (* (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (- 230753/100000 (* x 27061/100000)))) x) |
(-.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64) #s(literal 53246947009/10000000000 binary64)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 0 binary64))) x) |
(/ (+ 53246947009/10000000000 (* (* x x) -732297721/10000000000)) (* (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (- 230753/100000 (* x 27061/100000)))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64) #s(literal 53246947009/10000000000 binary64)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 0 binary64))) |
(+ 53246947009/10000000000 (* (* x x) -732297721/10000000000)) |
(fma.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64) #s(literal 53246947009/10000000000 binary64)) |
53246947009/10000000000 |
#s(literal 53246947009/10000000000 binary64) |
(* (* x x) -732297721/10000000000) |
(*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64)) |
(* x x) |
(*.f64 x x) |
x |
-732297721/10000000000 |
#s(literal -732297721/10000000000 binary64) |
(* (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (- 230753/100000 (* x 27061/100000))) |
(fma.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 0 binary64)) |
(+ (* x (+ (* x 4481/100000) 99229/100000)) 1) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(+ (* x 4481/100000) 99229/100000) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
4481/100000 |
#s(literal 4481/100000 binary64) |
99229/100000 |
#s(literal 99229/100000 binary64) |
1 |
#s(literal 1 binary64) |
(- 230753/100000 (* x 27061/100000)) |
(fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(* x 27061/100000) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 0 binary64)) |
27061/100000 |
#s(literal 27061/100000 binary64) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64)) |
| ✓ | accuracy | 99.4% | (*.f64 x #s(literal 27061/100000 binary64)) |
| ✓ | accuracy | 64.8% | (/.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) |
| ✓ | 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 | 99.9% | (*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.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))) x)) |
| ✓ | accuracy | 99.4% | (*.f64 x #s(literal 27061/100000 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
| ✓ | accuracy | 99.7% | (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #s(literal 70711/100000 binary64)) |
| ✓ | accuracy | 99.7% | (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
| ✓ | accuracy | 99.7% | (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
| ✓ | accuracy | 74.3% | (/.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))) |
| 108.0ms | 256× | 0 | valid |
Compiled 261 to 41 computations (84.3% saved)
const: 40.0ms (45.7% of total)ival-mult: 28.0ms (32% of total)ival-add: 9.0ms (10.3% of total)ival-sub: 6.0ms (6.8% of total)ival-div: 5.0ms (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 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x) 70711/100000)> |
#<alt (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x)> |
#<alt (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))> |
#<alt (+ (* x 27061/100000) 230753/100000)> |
#<alt (+ (* x (+ (* x 134362287316698645903/100000000000000000000) -2134856267379707/1000000000000000)) 16316775383/10000000000)> |
#<alt (+ (* x 134362287316698645903/100000000000000000000) -2134856267379707/1000000000000000)> |
#<alt (+ 230753/100000 (* x 27061/100000))> |
#<alt (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ (* x 99229/100000) 1)) x))> |
#<alt (- (/ (+ 230753/100000 (* x 27061/100000)) (+ (* x 99229/100000) 1)) x)> |
#<alt (/ (+ 230753/100000 (* x 27061/100000)) (+ (* x 99229/100000) 1))> |
#<alt (- 230753/100000 (* x 27061/100000))> |
#<alt (* 70711/100000 (- (/ (+ 53246947009/10000000000 (* (* x x) -732297721/10000000000)) (* (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (- 230753/100000 (* x 27061/100000)))) x))> |
#<alt (+ 53246947009/10000000000 (* (* x x) -732297721/10000000000))> |
#<alt (- (/ (+ 53246947009/10000000000 (* (* x x) -732297721/10000000000)) (* (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (- 230753/100000 (* x 27061/100000)))) x)> |
#<alt (+ (* x 4481/100000) 99229/100000)> |
#<alt (* x 27061/100000)> |
#<alt (/ (+ 53246947009/10000000000 (* (* x x) -732297721/10000000000)) (* (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (- 230753/100000 (* x 27061/100000))))> |
#<alt (* (* x x) -732297721/10000000000)> |
| Outputs |
|---|
#<alt 16316775383/10000000000> |
#<alt (+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))> |
#<alt (+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)))> |
#<alt (+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000)))> |
#<alt (* -70711/100000 x)> |
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))> |
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))> |
#<alt (* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))> |
#<alt (* -70711/100000 x)> |
#<alt (* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2))))))> |
#<alt 230753/100000> |
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))> |
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))> |
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))> |
#<alt (* -1 x)> |
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))> |
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))> |
#<alt (* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))> |
#<alt 230753/100000> |
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))> |
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))> |
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))> |
#<alt (/ 27061/4481 x)> |
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)> |
#<alt (/ 27061/4481 x)> |
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))> |
#<alt 230753/100000> |
#<alt (+ 230753/100000 (* 27061/100000 x))> |
#<alt (+ 230753/100000 (* 27061/100000 x))> |
#<alt (+ 230753/100000 (* 27061/100000 x))> |
#<alt (* 27061/100000 x)> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* 27061/100000 x)> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt 16316775383/10000000000> |
#<alt (+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))> |
#<alt (+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)))> |
#<alt (+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)))> |
#<alt (* 134362287316698645903/100000000000000000000 (pow x 2))> |
#<alt (* (pow x 2) (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 134362287316698645903/100000000000000000000 (/ 16316775383/10000000000 (pow x 2))) (* 2134856267379707/1000000000000000 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 134362287316698645903/100000000000000000000 (/ 16316775383/10000000000 (pow x 2))) (* 2134856267379707/1000000000000000 (/ 1 x))))> |
#<alt (* 134362287316698645903/100000000000000000000 (pow x 2))> |
#<alt (* (pow x 2) (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 134362287316698645903/100000000000000000000 (* -1 (/ (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x))) x))))> |
#<alt (* (pow x 2) (+ 134362287316698645903/100000000000000000000 (* -1 (/ (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x))) x))))> |
#<alt -2134856267379707/1000000000000000> |
#<alt (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)> |
#<alt (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)> |
#<alt (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)> |
#<alt (* 134362287316698645903/100000000000000000000 x)> |
#<alt (* x (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))))> |
#<alt (* x (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))))> |
#<alt (* x (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))))> |
#<alt (* 134362287316698645903/100000000000000000000 x)> |
#<alt (* -1 (* x (- (* 2134856267379707/1000000000000000 (/ 1 x)) 134362287316698645903/100000000000000000000)))> |
#<alt (* -1 (* x (- (* 2134856267379707/1000000000000000 (/ 1 x)) 134362287316698645903/100000000000000000000)))> |
#<alt (* -1 (* x (- (* 2134856267379707/1000000000000000 (/ 1 x)) 134362287316698645903/100000000000000000000)))> |
#<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 16316775383/10000000000> |
#<alt (+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))> |
#<alt (+ 16316775383/10000000000 (* x (- (* 141673834365820945903/100000000000000000000 x) 2134856267379707/1000000000000000)))> |
#<alt (+ 16316775383/10000000000 (* x (- (* x (+ 141673834365820945903/100000000000000000000 (* -14058152910286046641008787/10000000000000000000000000 x))) 2134856267379707/1000000000000000)))> |
#<alt (* -70711/100000 x)> |
#<alt (* x (- (* 1913510371/9922900000 (/ 1 x)) 70711/100000))> |
#<alt (* x (- (+ (* 1913510371/9922900000 (/ 1 x)) (/ 1427746267379707/984639444100000 (pow x 2))) 70711/100000))> |
#<alt (* x (- (+ (* 1913510371/9922900000 (/ 1 x)) (/ 1427746267379707/984639444100000 (pow x 2))) (+ 70711/100000 (* 1427746267379707/977047873985989 (/ 1 (pow x 3))))))> |
#<alt (* -70711/100000 x)> |
#<alt (* -1 (* x (- 70711/100000 (* 1913510371/9922900000 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 70711/100000 (* -1 (/ (+ 1913510371/9922900000 (* 1427746267379707/984639444100000 (/ 1 x))) x)))))> |
#<alt (* -1 (* x (+ 70711/100000 (* -1 (/ (+ 1913510371/9922900000 (* -1 (/ (- (* 1427746267379707/977047873985989 (/ 1 x)) 1427746267379707/984639444100000) x))) x)))))> |
#<alt 230753/100000> |
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))> |
#<alt (+ 230753/100000 (* x (- (* 2003561459544073/1000000000000000 x) 30191289437/10000000000)))> |
#<alt (+ 230753/100000 (* x (- (* x (+ 2003561459544073/1000000000000000 (* -198811400069098819717/100000000000000000000 x))) 30191289437/10000000000)))> |
#<alt (* -1 x)> |
#<alt (* x (- (* 27061/99229 (/ 1 x)) 1))> |
#<alt (* x (- (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2))) 1))> |
#<alt (* x (- (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2))) (+ 1 (* 2019128943700000/977047873985989 (/ 1 (pow x 3))))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (* 27061/99229 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 27061/99229 (* -1 (/ (- (* 2019128943700000/977047873985989 (/ 1 x)) 20191289437/9846394441) x))) x)))))> |
#<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 (- (* 230753/100000 (/ 1 x)) 27061/100000))> |
#<alt (* x (- (* 230753/100000 (/ 1 x)) 27061/100000))> |
#<alt (* x (- (* 230753/100000 (/ 1 x)) 27061/100000))> |
#<alt (* -27061/100000 x)> |
#<alt (* -1 (* x (- 27061/100000 (* 230753/100000 (/ 1 x)))))> |
#<alt (* -1 (* x (- 27061/100000 (* 230753/100000 (/ 1 x)))))> |
#<alt (* -1 (* x (- 27061/100000 (* 230753/100000 (/ 1 x)))))> |
#<alt 16316775383/10000000000> |
#<alt (+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))> |
#<alt (+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)))> |
#<alt (+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000)))> |
#<alt (* -70711/100000 x)> |
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))> |
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))> |
#<alt (* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))> |
#<alt (* -70711/100000 x)> |
#<alt (* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2))))))> |
#<alt 53246947009/10000000000> |
#<alt (+ 53246947009/10000000000 (* -732297721/10000000000 (pow x 2)))> |
#<alt (+ 53246947009/10000000000 (* -732297721/10000000000 (pow x 2)))> |
#<alt (+ 53246947009/10000000000 (* -732297721/10000000000 (pow x 2)))> |
#<alt (* -732297721/10000000000 (pow x 2))> |
#<alt (* (pow x 2) (- (* 53246947009/10000000000 (/ 1 (pow x 2))) 732297721/10000000000))> |
#<alt (* (pow x 2) (- (* 53246947009/10000000000 (/ 1 (pow x 2))) 732297721/10000000000))> |
#<alt (* (pow x 2) (- (* 53246947009/10000000000 (/ 1 (pow x 2))) 732297721/10000000000))> |
#<alt (* -732297721/10000000000 (pow x 2))> |
#<alt (* (pow x 2) (- (* 53246947009/10000000000 (/ 1 (pow x 2))) 732297721/10000000000))> |
#<alt (* (pow x 2) (- (* 53246947009/10000000000 (/ 1 (pow x 2))) 732297721/10000000000))> |
#<alt (* (pow x 2) (- (* 53246947009/10000000000 (/ 1 (pow x 2))) 732297721/10000000000))> |
#<alt 230753/100000> |
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))> |
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))> |
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))> |
#<alt (* -1 x)> |
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))> |
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))> |
#<alt (* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))> |
#<alt 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 (* 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 (+ 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 (* -732297721/10000000000 (pow x 2))> |
#<alt (* -732297721/10000000000 (pow x 2))> |
#<alt (* -732297721/10000000000 (pow x 2))> |
#<alt (* -732297721/10000000000 (pow x 2))> |
#<alt (* -732297721/10000000000 (pow x 2))> |
#<alt (* -732297721/10000000000 (pow x 2))> |
#<alt (* -732297721/10000000000 (pow x 2))> |
#<alt (* -732297721/10000000000 (pow x 2))> |
#<alt (* -732297721/10000000000 (pow x 2))> |
#<alt (* -732297721/10000000000 (pow x 2))> |
#<alt (* -732297721/10000000000 (pow x 2))> |
#<alt (* -732297721/10000000000 (pow x 2))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ (* x 99229/100000) 1)) x)) |
| 0.0ms | x | @ | 0 | (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ (* x 99229/100000) 1)) x)) |
| 0.0ms | x | @ | 0 | (* 70711/100000 (- (/ (+ 53246947009/10000000000 (* (* x x) -732297721/10000000000)) (* (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (- 230753/100000 (* x 27061/100000)))) x)) |
| 0.0ms | x | @ | inf | (+ (* x (+ (* x 134362287316698645903/100000000000000000000) -2134856267379707/1000000000000000)) 16316775383/10000000000) |
| 0.0ms | x | @ | -inf | (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ (* x 99229/100000) 1)) x)) |
| 1× | batch-egg-rewrite |
| 5 352× | /-lowering-/.f32 |
| 5 352× | /-lowering-/.f64 |
| 4 558× | accelerator-lowering-fma.f32 |
| 4 558× | accelerator-lowering-fma.f64 |
| 4 532× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 214 |
| 1 | 243 | 214 |
| 2 | 2198 | 214 |
| 0 | 8321 | 179 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x) 70711/100000) |
(- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x) |
(/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) |
(+ (* x 27061/100000) 230753/100000) |
(+ (* x (+ (* x 134362287316698645903/100000000000000000000) -2134856267379707/1000000000000000)) 16316775383/10000000000) |
(+ (* x 134362287316698645903/100000000000000000000) -2134856267379707/1000000000000000) |
(+ 230753/100000 (* x 27061/100000)) |
(* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ (* x 99229/100000) 1)) 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)) |
(* 70711/100000 (- (/ (+ 53246947009/10000000000 (* (* x x) -732297721/10000000000)) (* (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (- 230753/100000 (* x 27061/100000)))) x)) |
(+ 53246947009/10000000000 (* (* x x) -732297721/10000000000)) |
(- (/ (+ 53246947009/10000000000 (* (* x x) -732297721/10000000000)) (* (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (- 230753/100000 (* x 27061/100000)))) x) |
(+ (* x 4481/100000) 99229/100000) |
(* x 27061/100000) |
(/ (+ 53246947009/10000000000 (* (* x x) -732297721/10000000000)) (* (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (- 230753/100000 (* x 27061/100000)))) |
(* (* x x) -732297721/10000000000) |
| Outputs |
|---|
(+.f64 (*.f64 #s(literal 70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal 70711/100000 binary64) (-.f64 #s(literal 0 binary64) x))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 70711/100000 binary64))) |
(fma.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #s(literal 70711/100000 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 70711/100000 binary64))) |
(fma.f64 #s(literal 70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 70711/100000 binary64) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))) (*.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))))) |
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(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64) #s(literal 53246947009/10000000000 binary64)) (fma.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) #s(literal 1 binary64))) (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)))) (/.f64 (-.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) #s(literal 1 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64) #s(literal 53246947009/10000000000 binary64)) (fma.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 binary64)))) (/.f64 (-.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) #s(literal 1 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) (fma.f64 (*.f64 x #s(literal 27061/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)) #s(literal 53246947009/10000000000 binary64)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64) #s(literal 53246947009/10000000000 binary64)) (fma.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 binary64)))) (/.f64 (-.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) #s(literal 1 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal 53246947009/10000000000 binary64)) (*.f64 x #s(literal 6244406933/10000000000 binary64))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64) #s(literal 53246947009/10000000000 binary64)) (fma.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64))) (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64))))) (/.f64 (-.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) #s(literal 1 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64) #s(literal 53246947009/10000000000 binary64)) (fma.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64))) (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)))) (/.f64 (-.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) #s(literal 1 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64) #s(literal 53246947009/10000000000 binary64)) (fma.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) #s(literal -1 binary64))) (+.f64 #s(literal 12286892763167777/1000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -19816708627981/1000000000000000 binary64)))) (/.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal 27061/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 53246947009/10000000000 binary64))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64) #s(literal 53246947009/10000000000 binary64)) (fma.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) #s(literal -1 binary64))) (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)))) (/.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64) #s(literal 53246947009/10000000000 binary64)) (fma.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 binary64)))) (/.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 x #s(literal 27061/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)) #s(literal 53246947009/10000000000 binary64)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64) #s(literal 53246947009/10000000000 binary64)) (fma.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 binary64)))) (/.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal -1 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal 53246947009/10000000000 binary64)) (*.f64 x #s(literal 6244406933/10000000000 binary64))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64) #s(literal 53246947009/10000000000 binary64)) (fma.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64))) (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64))))) (/.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal -1 binary64)) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64) #s(literal 53246947009/10000000000 binary64)) (fma.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64))) (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)))) (/.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal -1 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)))) |
(*.f64 x (*.f64 x #s(literal -732297721/10000000000 binary64))) |
(*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64)) |
(*.f64 #s(literal -732297721/10000000000 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal -732297721/10000000000 binary64)) x) |
| 1× | egg-herbie |
| 8 454× | accelerator-lowering-fma.f32 |
| 8 454× | accelerator-lowering-fma.f64 |
| 4 144× | *-lowering-*.f32 |
| 4 144× | *-lowering-*.f64 |
| 2 428× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 308 | 1572 |
| 1 | 865 | 1554 |
| 2 | 2241 | 1490 |
| 3 | 6758 | 1473 |
| 0 | 8514 | 1347 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
16316775383/10000000000 |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) |
(* -70711/100000 x) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000)) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(* -70711/100000 x) |
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
230753/100000 |
(+ 230753/100000 (* -30191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))) |
(* -1 x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(* -1 x) |
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2)))))) |
230753/100000 |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(/ 27061/4481 x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) |
(/ 27061/4481 x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) |
230753/100000 |
(+ 230753/100000 (* 27061/100000 x)) |
(+ 230753/100000 (* 27061/100000 x)) |
(+ 230753/100000 (* 27061/100000 x)) |
(* 27061/100000 x) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* 27061/100000 x) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
16316775383/10000000000 |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(* 134362287316698645903/100000000000000000000 (pow x 2)) |
(* (pow x 2) (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x)))) |
(* (pow x 2) (- (+ 134362287316698645903/100000000000000000000 (/ 16316775383/10000000000 (pow x 2))) (* 2134856267379707/1000000000000000 (/ 1 x)))) |
(* (pow x 2) (- (+ 134362287316698645903/100000000000000000000 (/ 16316775383/10000000000 (pow x 2))) (* 2134856267379707/1000000000000000 (/ 1 x)))) |
(* 134362287316698645903/100000000000000000000 (pow x 2)) |
(* (pow x 2) (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x)))) |
(* (pow x 2) (+ 134362287316698645903/100000000000000000000 (* -1 (/ (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x))) x)))) |
(* (pow x 2) (+ 134362287316698645903/100000000000000000000 (* -1 (/ (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x))) x)))) |
-2134856267379707/1000000000000000 |
(- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000) |
(- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000) |
(- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000) |
(* 134362287316698645903/100000000000000000000 x) |
(* x (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x)))) |
(* x (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x)))) |
(* x (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x)))) |
(* 134362287316698645903/100000000000000000000 x) |
(* -1 (* x (- (* 2134856267379707/1000000000000000 (/ 1 x)) 134362287316698645903/100000000000000000000))) |
(* -1 (* x (- (* 2134856267379707/1000000000000000 (/ 1 x)) 134362287316698645903/100000000000000000000))) |
(* -1 (* x (- (* 2134856267379707/1000000000000000 (/ 1 x)) 134362287316698645903/100000000000000000000))) |
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)))) |
16316775383/10000000000 |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(+ 16316775383/10000000000 (* x (- (* 141673834365820945903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(+ 16316775383/10000000000 (* x (- (* x (+ 141673834365820945903/100000000000000000000 (* -14058152910286046641008787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) |
(* -70711/100000 x) |
(* x (- (* 1913510371/9922900000 (/ 1 x)) 70711/100000)) |
(* x (- (+ (* 1913510371/9922900000 (/ 1 x)) (/ 1427746267379707/984639444100000 (pow x 2))) 70711/100000)) |
(* x (- (+ (* 1913510371/9922900000 (/ 1 x)) (/ 1427746267379707/984639444100000 (pow x 2))) (+ 70711/100000 (* 1427746267379707/977047873985989 (/ 1 (pow x 3)))))) |
(* -70711/100000 x) |
(* -1 (* x (- 70711/100000 (* 1913510371/9922900000 (/ 1 x))))) |
(* -1 (* x (+ 70711/100000 (* -1 (/ (+ 1913510371/9922900000 (* 1427746267379707/984639444100000 (/ 1 x))) x))))) |
(* -1 (* x (+ 70711/100000 (* -1 (/ (+ 1913510371/9922900000 (* -1 (/ (- (* 1427746267379707/977047873985989 (/ 1 x)) 1427746267379707/984639444100000) x))) x))))) |
230753/100000 |
(+ 230753/100000 (* -30191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 2003561459544073/1000000000000000 x) 30191289437/10000000000))) |
(+ 230753/100000 (* x (- (* x (+ 2003561459544073/1000000000000000 (* -198811400069098819717/100000000000000000000 x))) 30191289437/10000000000))) |
(* -1 x) |
(* x (- (* 27061/99229 (/ 1 x)) 1)) |
(* x (- (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2))) 1)) |
(* x (- (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2))) (+ 1 (* 2019128943700000/977047873985989 (/ 1 (pow x 3)))))) |
(* -1 x) |
(* -1 (* x (- 1 (* 27061/99229 (/ 1 x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ 27061/99229 (* -1 (/ (- (* 2019128943700000/977047873985989 (/ 1 x)) 20191289437/9846394441) x))) x))))) |
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 (- (* 230753/100000 (/ 1 x)) 27061/100000)) |
(* x (- (* 230753/100000 (/ 1 x)) 27061/100000)) |
(* x (- (* 230753/100000 (/ 1 x)) 27061/100000)) |
(* -27061/100000 x) |
(* -1 (* x (- 27061/100000 (* 230753/100000 (/ 1 x))))) |
(* -1 (* x (- 27061/100000 (* 230753/100000 (/ 1 x))))) |
(* -1 (* x (- 27061/100000 (* 230753/100000 (/ 1 x))))) |
16316775383/10000000000 |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) |
(* -70711/100000 x) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000)) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(* -70711/100000 x) |
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
53246947009/10000000000 |
(+ 53246947009/10000000000 (* -732297721/10000000000 (pow x 2))) |
(+ 53246947009/10000000000 (* -732297721/10000000000 (pow x 2))) |
(+ 53246947009/10000000000 (* -732297721/10000000000 (pow x 2))) |
(* -732297721/10000000000 (pow x 2)) |
(* (pow x 2) (- (* 53246947009/10000000000 (/ 1 (pow x 2))) 732297721/10000000000)) |
(* (pow x 2) (- (* 53246947009/10000000000 (/ 1 (pow x 2))) 732297721/10000000000)) |
(* (pow x 2) (- (* 53246947009/10000000000 (/ 1 (pow x 2))) 732297721/10000000000)) |
(* -732297721/10000000000 (pow x 2)) |
(* (pow x 2) (- (* 53246947009/10000000000 (/ 1 (pow x 2))) 732297721/10000000000)) |
(* (pow x 2) (- (* 53246947009/10000000000 (/ 1 (pow x 2))) 732297721/10000000000)) |
(* (pow x 2) (- (* 53246947009/10000000000 (/ 1 (pow x 2))) 732297721/10000000000)) |
230753/100000 |
(+ 230753/100000 (* -30191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))) |
(* -1 x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(* -1 x) |
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2)))))) |
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)))) |
(* 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 |
(+ 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)) |
(* -732297721/10000000000 (pow x 2)) |
(* -732297721/10000000000 (pow x 2)) |
(* -732297721/10000000000 (pow x 2)) |
(* -732297721/10000000000 (pow x 2)) |
(* -732297721/10000000000 (pow x 2)) |
(* -732297721/10000000000 (pow x 2)) |
(* -732297721/10000000000 (pow x 2)) |
(* -732297721/10000000000 (pow x 2)) |
(* -732297721/10000000000 (pow x 2)) |
(* -732297721/10000000000 (pow x 2)) |
(* -732297721/10000000000 (pow x 2)) |
(* -732297721/10000000000 (pow x 2)) |
| Outputs |
|---|
16316775383/10000000000 |
#s(literal 16316775383/10000000000 binary64) |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(fma.f64 #s(literal -2134856267379707/1000000000000000 binary64) x #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) #s(literal 134362287316698645903/100000000000000000000 binary64)) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
(* -70711/100000 x) |
(*.f64 x #s(literal -70711/100000 binary64)) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000)) |
(*.f64 x (+.f64 #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x x)))) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(*.f64 x (+.f64 (/.f64 #s(literal -3648757816023/62748003125 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x x))))) |
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 335267464412236892/281173802003125 binary64) x) #s(literal -3648757816023/62748003125 binary64)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x x))))) |
(* -70711/100000 x) |
(*.f64 x #s(literal -70711/100000 binary64)) |
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x x)))) |
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 (/.f64 #s(literal -3648757816023/62748003125 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x x))))) |
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 335267464412236892/281173802003125 binary64) x) #s(literal -3648757816023/62748003125 binary64)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x x))))) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -30191289437/10000000000 x)) |
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)) |
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x)))) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(*.f64 x (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x))))) |
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x))))) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x)))) |
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x))))) |
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x))))) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) |
(/.f64 (+.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) (/.f64 #s(literal -14315508183474457216/403180738168321 binary64) (*.f64 x (*.f64 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) |
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)) |
16316775383/10000000000 |
#s(literal 16316775383/10000000000 binary64) |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(fma.f64 #s(literal -2134856267379707/1000000000000000 binary64) x #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
(* 134362287316698645903/100000000000000000000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64))) |
(* (pow x 2) (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64))) |
(* (pow x 2) (- (+ 134362287316698645903/100000000000000000000 (/ 16316775383/10000000000 (pow x 2))) (* 2134856267379707/1000000000000000 (/ 1 x)))) |
(*.f64 x (fma.f64 x (+.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) (/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x))) #s(literal -2134856267379707/1000000000000000 binary64))) |
(* (pow x 2) (- (+ 134362287316698645903/100000000000000000000 (/ 16316775383/10000000000 (pow x 2))) (* 2134856267379707/1000000000000000 (/ 1 x)))) |
(*.f64 x (fma.f64 x (+.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) (/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x))) #s(literal -2134856267379707/1000000000000000 binary64))) |
(* 134362287316698645903/100000000000000000000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64))) |
(* (pow x 2) (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64))) |
(* (pow x 2) (+ 134362287316698645903/100000000000000000000 (* -1 (/ (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x))) x)))) |
(*.f64 x (fma.f64 x (+.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) (/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x))) #s(literal -2134856267379707/1000000000000000 binary64))) |
(* (pow x 2) (+ 134362287316698645903/100000000000000000000 (* -1 (/ (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x))) x)))) |
(*.f64 x (fma.f64 x (+.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) (/.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x x))) #s(literal -2134856267379707/1000000000000000 binary64))) |
-2134856267379707/1000000000000000 |
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230753/100000 |
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16316775383/10000000000 |
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53246947009/10000000000 |
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230753/100000 |
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(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x))))) |
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x))))) |
99229/100000 |
#s(literal 99229/100000 binary64) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* 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)) |
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 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) (/.f64 #s(literal -14315508183474457216/403180738168321 binary64) (*.f64 x (*.f64 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) |
(* -732297721/10000000000 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64)) |
(* -732297721/10000000000 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64)) |
(* -732297721/10000000000 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64)) |
(* -732297721/10000000000 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64)) |
(* -732297721/10000000000 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64)) |
(* -732297721/10000000000 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64)) |
(* -732297721/10000000000 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64)) |
(* -732297721/10000000000 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64)) |
(* -732297721/10000000000 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64)) |
(* -732297721/10000000000 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64)) |
(* -732297721/10000000000 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64)) |
(* -732297721/10000000000 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64)) |
Compiled 31 117 to 2 935 computations (90.6% saved)
17 alts after pruning (14 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 939 | 7 | 946 |
| Fresh | 2 | 7 | 9 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 943 | 17 | 960 |
| Status | Accuracy | Program |
|---|---|---|
| 98.9% | (fma.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) #s(literal 70711/100000 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 70711/100000 binary64))) | |
| 53.4% | (fma.f64 (*.f64 x x) #s(literal 134362287316698645903/100000000000000000000 binary64) (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))) | |
| 54.9% | (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) #s(literal 134362287316698645903/100000000000000000000 binary64)) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) | |
| ▶ | 54.7% | (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -14058152910286046641008787/10000000000000000000000000 binary64) #s(literal 141673834365820945903/100000000000000000000 binary64)) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
| 53.3% | (fma.f64 x (fma.f64 x #s(literal 141673834365820945903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) | |
| ✓ | 53.5% | (fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
| 49.3% | (fma.f64 x #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x)) | |
| 60.1% | (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) | |
| 71.5% | (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) (*.f64 x x)) #s(literal 70711/100000 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))))) | |
| ▶ | 99.8% | (/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x))) |
| ▶ | 99.9% | (+.f64 (*.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 70711/100000 binary64))) |
| ✓ | 99.9% | (*.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #s(literal 70711/100000 binary64)) |
| 72.4% | (*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal -1 binary64)))) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))) #s(literal 70711/100000 binary64))) | |
| 72.5% | (*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal -1 binary64)))) (*.f64 x x)) #s(literal 70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))))) | |
| ▶ | 49.5% | (*.f64 x #s(literal -70711/100000 binary64)) |
| ▶ | 53.3% | (*.f64 #s(literal 70711/100000 binary64) (fma.f64 x (fma.f64 x #s(literal 2003561459544073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))) |
| ✓ | 52.5% | #s(literal 16316775383/10000000000 binary64) |
Compiled 545 to 339 computations (37.8% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x)) |
| ✓ | cost-diff | 1216 | (/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x))) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal -14058152910286046641008787/10000000000000000000000000 binary64) #s(literal 141673834365820945903/100000000000000000000 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x #s(literal -14058152910286046641008787/10000000000000000000000000 binary64) #s(literal 141673834365820945903/100000000000000000000 binary64)) #s(literal -2134856267379707/1000000000000000 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -14058152910286046641008787/10000000000000000000000000 binary64) #s(literal 141673834365820945903/100000000000000000000 binary64)) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 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 | 320 | (*.f64 #s(literal 70711/100000 binary64) (fma.f64 x (fma.f64 x #s(literal 2003561459544073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))) |
| ✓ | cost-diff | -64 | (*.f64 x #s(literal -70711/100000 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 | 128 | (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 70711/100000 binary64)) |
| ✓ | cost-diff | 192 | (+.f64 (*.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 70711/100000 binary64))) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) |
| 7 608× | accelerator-lowering-fma.f32 |
| 7 608× | accelerator-lowering-fma.f64 |
| 2 488× | *-lowering-*.f32 |
| 2 488× | *-lowering-*.f64 |
| 1 842× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 248 |
| 1 | 102 | 248 |
| 2 | 224 | 246 |
| 3 | 376 | 242 |
| 4 | 478 | 242 |
| 5 | 685 | 242 |
| 6 | 997 | 242 |
| 7 | 1449 | 242 |
| 8 | 2650 | 242 |
| 9 | 3900 | 242 |
| 10 | 4756 | 242 |
| 11 | 5617 | 242 |
| 12 | 6322 | 242 |
| 13 | 6457 | 242 |
| 14 | 7279 | 242 |
| 15 | 7553 | 242 |
| 16 | 7807 | 242 |
| 17 | 7815 | 242 |
| 18 | 7926 | 242 |
| 19 | 7926 | 242 |
| 20 | 7926 | 242 |
| 21 | 7930 | 242 |
| 0 | 8046 | 200 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) 70711/100000) (* (- 0 x) 70711/100000)) |
(* (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) 70711/100000) |
(/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) |
(+ (* x 27061/100000) 230753/100000) |
x |
27061/100000 |
230753/100000 |
(+ (* x (+ (* x 4481/100000) 99229/100000)) 1) |
(+ (* x 4481/100000) 99229/100000) |
4481/100000 |
99229/100000 |
1 |
70711/100000 |
(* (- 0 x) 70711/100000) |
(- 0 x) |
0 |
(* x -70711/100000) |
x |
-70711/100000 |
(* 70711/100000 (+ (* x (+ (* x 2003561459544073/1000000000000000) -30191289437/10000000000)) 230753/100000)) |
70711/100000 |
(+ (* x (+ (* x 2003561459544073/1000000000000000) -30191289437/10000000000)) 230753/100000) |
x |
(+ (* x 2003561459544073/1000000000000000) -30191289437/10000000000) |
2003561459544073/1000000000000000 |
-30191289437/10000000000 |
230753/100000 |
(+ (* x (+ (* x (+ (* x -14058152910286046641008787/10000000000000000000000000) 141673834365820945903/100000000000000000000)) -2134856267379707/1000000000000000)) 16316775383/10000000000) |
x |
(+ (* x (+ (* x -14058152910286046641008787/10000000000000000000000000) 141673834365820945903/100000000000000000000)) -2134856267379707/1000000000000000) |
(+ (* x -14058152910286046641008787/10000000000000000000000000) 141673834365820945903/100000000000000000000) |
-14058152910286046641008787/10000000000000000000000000 |
141673834365820945903/100000000000000000000 |
-2134856267379707/1000000000000000 |
16316775383/10000000000 |
(/ 70711/100000 (/ 1 (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x))) |
70711/100000 |
(/ 1 (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x)) |
1 |
(- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x) |
(/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) |
(+ (* x 27061/100000) 230753/100000) |
x |
27061/100000 |
230753/100000 |
(+ (* x (+ (* x 4481/100000) 99229/100000)) 1) |
(+ (* x 4481/100000) 99229/100000) |
4481/100000 |
99229/100000 |
| Outputs |
|---|
(+ (* (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) 70711/100000) (* (- 0 x) 70711/100000)) |
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 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) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) 70711/100000) |
(/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 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) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) |
(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) |
(+ (* x 27061/100000) 230753/100000) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
x |
27061/100000 |
#s(literal 27061/100000 binary64) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ (* x (+ (* x 4481/100000) 99229/100000)) 1) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(+ (* x 4481/100000) 99229/100000) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
4481/100000 |
#s(literal 4481/100000 binary64) |
99229/100000 |
#s(literal 99229/100000 binary64) |
1 |
#s(literal 1 binary64) |
70711/100000 |
#s(literal 70711/100000 binary64) |
(* (- 0 x) 70711/100000) |
(fma.f64 x #s(literal -70711/100000 binary64) #s(literal 0 binary64)) |
(- 0 x) |
(-.f64 #s(literal 0 binary64) x) |
0 |
#s(literal 0 binary64) |
(* x -70711/100000) |
(fma.f64 x #s(literal -70711/100000 binary64) #s(literal 0 binary64)) |
x |
-70711/100000 |
#s(literal -70711/100000 binary64) |
(* 70711/100000 (+ (* x (+ (* x 2003561459544073/1000000000000000) -30191289437/10000000000)) 230753/100000)) |
(fma.f64 x (fma.f64 x #s(literal 141673834365820945903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
70711/100000 |
#s(literal 70711/100000 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 -14058152910286046641008787/10000000000000000000000000) 141673834365820945903/100000000000000000000)) -2134856267379707/1000000000000000)) 16316775383/10000000000) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -14058152910286046641008787/10000000000000000000000000 binary64) #s(literal 141673834365820945903/100000000000000000000 binary64)) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
x |
(+ (* x (+ (* x -14058152910286046641008787/10000000000000000000000000) 141673834365820945903/100000000000000000000)) -2134856267379707/1000000000000000) |
(fma.f64 x (fma.f64 x #s(literal -14058152910286046641008787/10000000000000000000000000 binary64) #s(literal 141673834365820945903/100000000000000000000 binary64)) #s(literal -2134856267379707/1000000000000000 binary64)) |
(+ (* x -14058152910286046641008787/10000000000000000000000000) 141673834365820945903/100000000000000000000) |
(fma.f64 x #s(literal -14058152910286046641008787/10000000000000000000000000 binary64) #s(literal 141673834365820945903/100000000000000000000 binary64)) |
-14058152910286046641008787/10000000000000000000000000 |
#s(literal -14058152910286046641008787/10000000000000000000000000 binary64) |
141673834365820945903/100000000000000000000 |
#s(literal 141673834365820945903/100000000000000000000 binary64) |
-2134856267379707/1000000000000000 |
#s(literal -2134856267379707/1000000000000000 binary64) |
16316775383/10000000000 |
#s(literal 16316775383/10000000000 binary64) |
(/ 70711/100000 (/ 1 (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x))) |
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
70711/100000 |
#s(literal 70711/100000 binary64) |
(/ 1 (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x)) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x)) |
1 |
#s(literal 1 binary64) |
(- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x) |
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) |
(/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) |
(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) |
(+ (* x 27061/100000) 230753/100000) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
x |
27061/100000 |
#s(literal 27061/100000 binary64) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ (* x (+ (* x 4481/100000) 99229/100000)) 1) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(+ (* x 4481/100000) 99229/100000) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
4481/100000 |
#s(literal 4481/100000 binary64) |
99229/100000 |
#s(literal 99229/100000 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x))) |
| ✓ | accuracy | 99.7% | (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
| ✓ | accuracy | 99.7% | (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
| ✓ | accuracy | 74.3% | (/.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 | 99.9% | (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -14058152910286046641008787/10000000000000000000000000 binary64) #s(literal 141673834365820945903/100000000000000000000 binary64)) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 x (fma.f64 x #s(literal -14058152910286046641008787/10000000000000000000000000 binary64) #s(literal 141673834365820945903/100000000000000000000 binary64)) #s(literal -2134856267379707/1000000000000000 binary64)) |
| ✓ | accuracy | 99.7% | (fma.f64 x #s(literal -14058152910286046641008787/10000000000000000000000000 binary64) #s(literal 141673834365820945903/100000000000000000000 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 #s(literal 70711/100000 binary64) (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 (fma.f64 x #s(literal 2003561459544073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
| ✓ | accuracy | 99.8% | (fma.f64 x #s(literal 2003561459544073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 x #s(literal -70711/100000 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) |
| ✓ | accuracy | 99.7% | (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
| ✓ | accuracy | 99.7% | (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
| ✓ | accuracy | 74.3% | (/.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))) |
| 94.0ms | 256× | 0 | valid |
Compiled 217 to 43 computations (80.2% saved)
const: 36.0ms (51.5% of total)ival-mult: 17.0ms (24.3% of total)ival-add: 9.0ms (12.9% of total)ival-div: 5.0ms (7.2% of total)ival-sub: 2.0ms (2.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) 70711/100000)> |
#<alt (+ (* (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) 70711/100000) (* (- 0 x) 70711/100000))> |
#<alt (* (- 0 x) 70711/100000)> |
#<alt (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))> |
#<alt (* x -70711/100000)> |
#<alt (* 70711/100000 (+ (* x (+ (* x 2003561459544073/1000000000000000) -30191289437/10000000000)) 230753/100000))> |
#<alt (+ (* x (+ (* x 2003561459544073/1000000000000000) -30191289437/10000000000)) 230753/100000)> |
#<alt (+ (* x 2003561459544073/1000000000000000) -30191289437/10000000000)> |
#<alt (+ (* x (+ (* x (+ (* x -14058152910286046641008787/10000000000000000000000000) 141673834365820945903/100000000000000000000)) -2134856267379707/1000000000000000)) 16316775383/10000000000)> |
#<alt (+ (* x (+ (* x -14058152910286046641008787/10000000000000000000000000) 141673834365820945903/100000000000000000000)) -2134856267379707/1000000000000000)> |
#<alt (+ (* x -14058152910286046641008787/10000000000000000000000000) 141673834365820945903/100000000000000000000)> |
#<alt (/ 70711/100000 (/ 1 (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x)))> |
#<alt (/ 1 (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x))> |
#<alt (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x)> |
#<alt (+ (* x 27061/100000) 230753/100000)> |
#<alt (+ (* x 4481/100000) 99229/100000)> |
| Outputs |
|---|
#<alt 16316775383/10000000000> |
#<alt (+ 16316775383/10000000000 (* -1427746267379707/1000000000000000 x))> |
#<alt (+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 1427746267379707/1000000000000000)))> |
#<alt (+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 1427746267379707/1000000000000000)))> |
#<alt (/ 1913510371/448100000 x)> |
#<alt (/ (- 1913510371/448100000 (* 3648757816023/62748003125 (/ 1 x))) x)> |
#<alt (/ (- (+ 1913510371/448100000 (/ 335267464412236892/281173802003125 (pow x 2))) (* 3648757816023/62748003125 (/ 1 x))) x)> |
#<alt (/ (- (+ 1913510371/448100000 (/ 335267464412236892/281173802003125 (pow x 2))) (+ (* 3648757816023/62748003125 (/ 1 x)) (* 31633246848801948256268/1259939806776003125 (/ 1 (pow x 3))))) x)> |
#<alt (/ 1913510371/448100000 x)> |
#<alt (* -1 (/ (- (* 3648757816023/62748003125 (/ 1 x)) 1913510371/448100000) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) x)) 1913510371/448100000) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 31633246848801948256268/1259939806776003125 (/ 1 x)) 335267464412236892/281173802003125) x)) 3648757816023/62748003125) x)) 1913510371/448100000) x))> |
#<alt 16316775383/10000000000> |
#<alt (+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))> |
#<alt (+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)))> |
#<alt (+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000)))> |
#<alt (* -70711/100000 x)> |
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))> |
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))> |
#<alt (* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))> |
#<alt (* -70711/100000 x)> |
#<alt (* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2))))))> |
#<alt (* -70711/100000 x)> |
#<alt (* -70711/100000 x)> |
#<alt (* -70711/100000 x)> |
#<alt (* -70711/100000 x)> |
#<alt (* -70711/100000 x)> |
#<alt (* -70711/100000 x)> |
#<alt (* -70711/100000 x)> |
#<alt (* -70711/100000 x)> |
#<alt (* -70711/100000 x)> |
#<alt (* -70711/100000 x)> |
#<alt (* -70711/100000 x)> |
#<alt (* -70711/100000 x)> |
#<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 (* -70711/100000 x)> |
#<alt (* -70711/100000 x)> |
#<alt (* -70711/100000 x)> |
#<alt (* -70711/100000 x)> |
#<alt (* -70711/100000 x)> |
#<alt (* -70711/100000 x)> |
#<alt (* -70711/100000 x)> |
#<alt (* -70711/100000 x)> |
#<alt (* -70711/100000 x)> |
#<alt (* -70711/100000 x)> |
#<alt (* -70711/100000 x)> |
#<alt (* -70711/100000 x)> |
#<alt 16316775383/10000000000> |
#<alt (+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))> |
#<alt (+ 16316775383/10000000000 (* x (- (* 141673834365820945903/100000000000000000000 x) 2134856267379707/1000000000000000)))> |
#<alt (+ 16316775383/10000000000 (* x (- (* 141673834365820945903/100000000000000000000 x) 2134856267379707/1000000000000000)))> |
#<alt (* 141673834365820945903/100000000000000000000 (pow x 2))> |
#<alt (* (pow x 2) (- 141673834365820945903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 141673834365820945903/100000000000000000000 (/ 16316775383/10000000000 (pow x 2))) (* 2134856267379707/1000000000000000 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 141673834365820945903/100000000000000000000 (/ 16316775383/10000000000 (pow x 2))) (* 2134856267379707/1000000000000000 (/ 1 x))))> |
#<alt (* 141673834365820945903/100000000000000000000 (pow x 2))> |
#<alt (* (pow x 2) (- 141673834365820945903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 141673834365820945903/100000000000000000000 (* -1 (/ (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x))) x))))> |
#<alt (* (pow x 2) (+ 141673834365820945903/100000000000000000000 (* -1 (/ (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x))) x))))> |
#<alt 230753/100000> |
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))> |
#<alt (+ 230753/100000 (* x (- (* 2003561459544073/1000000000000000 x) 30191289437/10000000000)))> |
#<alt (+ 230753/100000 (* x (- (* 2003561459544073/1000000000000000 x) 30191289437/10000000000)))> |
#<alt (* 2003561459544073/1000000000000000 (pow x 2))> |
#<alt (* (pow x 2) (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 2003561459544073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 30191289437/10000000000 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 2003561459544073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 30191289437/10000000000 (/ 1 x))))> |
#<alt (* 2003561459544073/1000000000000000 (pow x 2))> |
#<alt (* (pow x 2) (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 2003561459544073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x))))> |
#<alt (* (pow x 2) (+ 2003561459544073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x))))> |
#<alt -30191289437/10000000000> |
#<alt (- (* 2003561459544073/1000000000000000 x) 30191289437/10000000000)> |
#<alt (- (* 2003561459544073/1000000000000000 x) 30191289437/10000000000)> |
#<alt (- (* 2003561459544073/1000000000000000 x) 30191289437/10000000000)> |
#<alt (* 2003561459544073/1000000000000000 x)> |
#<alt (* x (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))> |
#<alt (* x (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))> |
#<alt (* x (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))> |
#<alt (* 2003561459544073/1000000000000000 x)> |
#<alt (* -1 (* x (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000)))> |
#<alt (* -1 (* x (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000)))> |
#<alt (* -1 (* x (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000)))> |
#<alt 16316775383/10000000000> |
#<alt (+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))> |
#<alt (+ 16316775383/10000000000 (* x (- (* 141673834365820945903/100000000000000000000 x) 2134856267379707/1000000000000000)))> |
#<alt (+ 16316775383/10000000000 (* x (- (* x (+ 141673834365820945903/100000000000000000000 (* -14058152910286046641008787/10000000000000000000000000 x))) 2134856267379707/1000000000000000)))> |
#<alt (* -14058152910286046641008787/10000000000000000000000000 (pow x 3))> |
#<alt (* (pow x 3) (- (* 141673834365820945903/100000000000000000000 (/ 1 x)) 14058152910286046641008787/10000000000000000000000000))> |
#<alt (* (pow x 3) (- (* 141673834365820945903/100000000000000000000 (/ 1 x)) (+ 14058152910286046641008787/10000000000000000000000000 (/ 2134856267379707/1000000000000000 (pow x 2)))))> |
#<alt (* (pow x 3) (- (+ (* 141673834365820945903/100000000000000000000 (/ 1 x)) (* 16316775383/10000000000 (/ 1 (pow x 3)))) (+ 14058152910286046641008787/10000000000000000000000000 (/ 2134856267379707/1000000000000000 (pow x 2)))))> |
#<alt (* -14058152910286046641008787/10000000000000000000000000 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 14058152910286046641008787/10000000000000000000000000 (* 141673834365820945903/100000000000000000000 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (+ 14058152910286046641008787/10000000000000000000000000 (* -1 (/ (- 141673834365820945903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))) x)))))> |
#<alt (* -1 (* (pow x 3) (+ 14058152910286046641008787/10000000000000000000000000 (* -1 (/ (+ 141673834365820945903/100000000000000000000 (* -1 (/ (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x))) x))) x)))))> |
#<alt -2134856267379707/1000000000000000> |
#<alt (- (* 141673834365820945903/100000000000000000000 x) 2134856267379707/1000000000000000)> |
#<alt (- (* x (+ 141673834365820945903/100000000000000000000 (* -14058152910286046641008787/10000000000000000000000000 x))) 2134856267379707/1000000000000000)> |
#<alt (- (* x (+ 141673834365820945903/100000000000000000000 (* -14058152910286046641008787/10000000000000000000000000 x))) 2134856267379707/1000000000000000)> |
#<alt (* -14058152910286046641008787/10000000000000000000000000 (pow x 2))> |
#<alt (* (pow x 2) (- (* 141673834365820945903/100000000000000000000 (/ 1 x)) 14058152910286046641008787/10000000000000000000000000))> |
#<alt (* (pow x 2) (- (* 141673834365820945903/100000000000000000000 (/ 1 x)) (+ 14058152910286046641008787/10000000000000000000000000 (/ 2134856267379707/1000000000000000 (pow x 2)))))> |
#<alt (* (pow x 2) (- (* 141673834365820945903/100000000000000000000 (/ 1 x)) (+ 14058152910286046641008787/10000000000000000000000000 (/ 2134856267379707/1000000000000000 (pow x 2)))))> |
#<alt (* -14058152910286046641008787/10000000000000000000000000 (pow x 2))> |
#<alt (* (pow x 2) (- (* 141673834365820945903/100000000000000000000 (/ 1 x)) 14058152910286046641008787/10000000000000000000000000))> |
#<alt (* (pow x 2) (- (* -1 (/ (- (* 2134856267379707/1000000000000000 (/ 1 x)) 141673834365820945903/100000000000000000000) x)) 14058152910286046641008787/10000000000000000000000000))> |
#<alt (* (pow x 2) (- (* -1 (/ (- (* 2134856267379707/1000000000000000 (/ 1 x)) 141673834365820945903/100000000000000000000) x)) 14058152910286046641008787/10000000000000000000000000))> |
#<alt 141673834365820945903/100000000000000000000> |
#<alt (+ 141673834365820945903/100000000000000000000 (* -14058152910286046641008787/10000000000000000000000000 x))> |
#<alt (+ 141673834365820945903/100000000000000000000 (* -14058152910286046641008787/10000000000000000000000000 x))> |
#<alt (+ 141673834365820945903/100000000000000000000 (* -14058152910286046641008787/10000000000000000000000000 x))> |
#<alt (* -14058152910286046641008787/10000000000000000000000000 x)> |
#<alt (* x (- (* 141673834365820945903/100000000000000000000 (/ 1 x)) 14058152910286046641008787/10000000000000000000000000))> |
#<alt (* x (- (* 141673834365820945903/100000000000000000000 (/ 1 x)) 14058152910286046641008787/10000000000000000000000000))> |
#<alt (* x (- (* 141673834365820945903/100000000000000000000 (/ 1 x)) 14058152910286046641008787/10000000000000000000000000))> |
#<alt (* -14058152910286046641008787/10000000000000000000000000 x)> |
#<alt (* -1 (* x (- 14058152910286046641008787/10000000000000000000000000 (* 141673834365820945903/100000000000000000000 (/ 1 x)))))> |
#<alt (* -1 (* x (- 14058152910286046641008787/10000000000000000000000000 (* 141673834365820945903/100000000000000000000 (/ 1 x)))))> |
#<alt (* -1 (* x (- 14058152910286046641008787/10000000000000000000000000 (* 141673834365820945903/100000000000000000000 (/ 1 x)))))> |
#<alt 16316775383/10000000000> |
#<alt (+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))> |
#<alt (+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)))> |
#<alt (+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000)))> |
#<alt (* -70711/100000 x)> |
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))> |
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))> |
#<alt (* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))> |
#<alt (* -70711/100000 x)> |
#<alt (* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2))))))> |
#<alt 100000/230753> |
#<alt (+ 100000/230753 (* 30191289437/53246947009 x))> |
#<alt (+ 100000/230753 (* x (+ 30191289437/53246947009 (* 4730460973492672/12286892763167777 x))))> |
#<alt (+ 100000/230753 (* x (+ 30191289437/53246947009 (* x (+ 4730460973492672/12286892763167777 (* 1060196761744488379977/2835237365779254046081 x))))))> |
#<alt (/ -1 x)> |
#<alt (* -1 (/ (+ 1 (* 27061/4481 (/ 1 (pow x 2)))) x))> |
#<alt (/ (- (/ 1651231776/20079361 (pow x 3)) (+ 1 (* 27061/4481 (/ 1 (pow x 2))))) x)> |
#<alt (/ (- (/ 1651231776/20079361 (pow x 3)) (+ 1 (+ (* 27061/4481 (/ 1 (pow x 2))) (* 155005469888505/89975616641 (/ 1 (pow x 4)))))) x)> |
#<alt (/ -1 x)> |
#<alt (* -1 (/ (+ 1 (* 27061/4481 (/ 1 (pow x 2)))) x))> |
#<alt (* -1 (/ (- (+ 1 (* 27061/4481 (/ 1 (pow x 2)))) (/ 1651231776/20079361 (pow x 3))) x))> |
#<alt (* -1 (/ (+ 1 (+ (* -1 (/ (- 1651231776/20079361 (* 155005469888505/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) x))> |
#<alt 230753/100000> |
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))> |
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))> |
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))> |
#<alt (* -1 x)> |
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))> |
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))> |
#<alt (* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))> |
#<alt 230753/100000> |
#<alt (+ 230753/100000 (* 27061/100000 x))> |
#<alt (+ 230753/100000 (* 27061/100000 x))> |
#<alt (+ 230753/100000 (* 27061/100000 x))> |
#<alt (* 27061/100000 x)> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* 27061/100000 x)> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt 99229/100000> |
#<alt (+ 99229/100000 (* 4481/100000 x))> |
#<alt (+ 99229/100000 (* 4481/100000 x))> |
#<alt (+ 99229/100000 (* 4481/100000 x))> |
#<alt (* 4481/100000 x)> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* 4481/100000 x)> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))> |
48 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (+ (* x (+ (* x -14058152910286046641008787/10000000000000000000000000) 141673834365820945903/100000000000000000000)) -2134856267379707/1000000000000000) |
| 0.0ms | x | @ | -inf | (+ (* x (+ (* x (+ (* x -14058152910286046641008787/10000000000000000000000000) 141673834365820945903/100000000000000000000)) -2134856267379707/1000000000000000)) 16316775383/10000000000) |
| 0.0ms | x | @ | inf | (* 70711/100000 (+ (* x (+ (* x 2003561459544073/1000000000000000) -30191289437/10000000000)) 230753/100000)) |
| 0.0ms | x | @ | inf | (+ (* x (+ (* x (+ (* x -14058152910286046641008787/10000000000000000000000000) 141673834365820945903/100000000000000000000)) -2134856267379707/1000000000000000)) 16316775383/10000000000) |
| 0.0ms | x | @ | -inf | (+ (* x (+ (* x 2003561459544073/1000000000000000) -30191289437/10000000000)) 230753/100000) |
| 1× | batch-egg-rewrite |
| 4 508× | *-lowering-*.f32 |
| 4 508× | *-lowering-*.f64 |
| 4 372× | /-lowering-/.f32 |
| 4 372× | /-lowering-/.f64 |
| 3 508× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 175 |
| 1 | 265 | 175 |
| 2 | 2232 | 175 |
| 0 | 8367 | 144 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) 70711/100000) |
(+ (* (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) 70711/100000) (* (- 0 x) 70711/100000)) |
(* (- 0 x) 70711/100000) |
(/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) |
(* x -70711/100000) |
(* 70711/100000 (+ (* x (+ (* x 2003561459544073/1000000000000000) -30191289437/10000000000)) 230753/100000)) |
(+ (* x (+ (* x 2003561459544073/1000000000000000) -30191289437/10000000000)) 230753/100000) |
(+ (* x 2003561459544073/1000000000000000) -30191289437/10000000000) |
(+ (* x (+ (* x (+ (* x -14058152910286046641008787/10000000000000000000000000) 141673834365820945903/100000000000000000000)) -2134856267379707/1000000000000000)) 16316775383/10000000000) |
(+ (* x (+ (* x -14058152910286046641008787/10000000000000000000000000) 141673834365820945903/100000000000000000000)) -2134856267379707/1000000000000000) |
(+ (* x -14058152910286046641008787/10000000000000000000000000) 141673834365820945903/100000000000000000000) |
(/ 70711/100000 (/ 1 (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x))) |
(/ 1 (- (/ (+ (* 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) |
(+ (* x 27061/100000) 230753/100000) |
(+ (* x 4481/100000) 99229/100000) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)))) |
(/.f64 #s(literal 70711/100000 binary64) (/.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)))) |
(/.f64 #s(literal -70711/100000 binary64) (neg.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64))))) |
(/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 70711/100000 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) #s(literal 70711/100000 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 70711/100000 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) #s(literal 70711/100000 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))) |
(pow.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #s(literal 70711/100000 binary64))) |
(*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (/.f64 #s(literal 70711/100000 binary64) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) |
(*.f64 #s(literal 70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(literal -70711/100000 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (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)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) #s(literal 1 binary64))) (/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal -1 binary64))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)) (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (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)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) #s(literal 1 binary64))) (fma.f64 x (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) (-.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 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal -1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 70711/100000 binary64) (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (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)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) #s(literal 1 binary64))) (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.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 #s(literal 70711/100000 binary64) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal -1 binary64)))) (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal -1 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 70711/100000 binary64) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
(+.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 70711/100000 binary64) (-.f64 #s(literal 0 binary64) x))) |
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| 1× | egg-herbie |
| 8 090× | accelerator-lowering-fma.f32 |
| 8 090× | accelerator-lowering-fma.f64 |
| 3 806× | *-lowering-*.f32 |
| 3 806× | *-lowering-*.f64 |
| 3 214× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 326 | 1464 |
| 1 | 936 | 1434 |
| 2 | 2475 | 1396 |
| 3 | 6731 | 1382 |
| 0 | 8037 | 1275 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
16316775383/10000000000 |
(+ 16316775383/10000000000 (* -1427746267379707/1000000000000000 x)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 1427746267379707/1000000000000000))) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 1427746267379707/1000000000000000))) |
(/ 1913510371/448100000 x) |
(/ (- 1913510371/448100000 (* 3648757816023/62748003125 (/ 1 x))) x) |
(/ (- (+ 1913510371/448100000 (/ 335267464412236892/281173802003125 (pow x 2))) (* 3648757816023/62748003125 (/ 1 x))) x) |
(/ (- (+ 1913510371/448100000 (/ 335267464412236892/281173802003125 (pow x 2))) (+ (* 3648757816023/62748003125 (/ 1 x)) (* 31633246848801948256268/1259939806776003125 (/ 1 (pow x 3))))) x) |
(/ 1913510371/448100000 x) |
(* -1 (/ (- (* 3648757816023/62748003125 (/ 1 x)) 1913510371/448100000) x)) |
(* -1 (/ (- (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) x)) 1913510371/448100000) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 31633246848801948256268/1259939806776003125 (/ 1 x)) 335267464412236892/281173802003125) x)) 3648757816023/62748003125) x)) 1913510371/448100000) x)) |
16316775383/10000000000 |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) |
(* -70711/100000 x) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000)) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(* -70711/100000 x) |
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
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)) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
16316775383/10000000000 |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(+ 16316775383/10000000000 (* x (- (* 141673834365820945903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(+ 16316775383/10000000000 (* x (- (* 141673834365820945903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(* 141673834365820945903/100000000000000000000 (pow x 2)) |
(* (pow x 2) (- 141673834365820945903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x)))) |
(* (pow x 2) (- (+ 141673834365820945903/100000000000000000000 (/ 16316775383/10000000000 (pow x 2))) (* 2134856267379707/1000000000000000 (/ 1 x)))) |
(* (pow x 2) (- (+ 141673834365820945903/100000000000000000000 (/ 16316775383/10000000000 (pow x 2))) (* 2134856267379707/1000000000000000 (/ 1 x)))) |
(* 141673834365820945903/100000000000000000000 (pow x 2)) |
(* (pow x 2) (- 141673834365820945903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x)))) |
(* (pow x 2) (+ 141673834365820945903/100000000000000000000 (* -1 (/ (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x))) x)))) |
(* (pow x 2) (+ 141673834365820945903/100000000000000000000 (* -1 (/ (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x))) x)))) |
230753/100000 |
(+ 230753/100000 (* -30191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 2003561459544073/1000000000000000 x) 30191289437/10000000000))) |
(+ 230753/100000 (* x (- (* 2003561459544073/1000000000000000 x) 30191289437/10000000000))) |
(* 2003561459544073/1000000000000000 (pow x 2)) |
(* (pow x 2) (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))) |
(* (pow x 2) (- (+ 2003561459544073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 30191289437/10000000000 (/ 1 x)))) |
(* (pow x 2) (- (+ 2003561459544073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 30191289437/10000000000 (/ 1 x)))) |
(* 2003561459544073/1000000000000000 (pow x 2)) |
(* (pow x 2) (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))) |
(* (pow x 2) (+ 2003561459544073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x)))) |
(* (pow x 2) (+ 2003561459544073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x)))) |
-30191289437/10000000000 |
(- (* 2003561459544073/1000000000000000 x) 30191289437/10000000000) |
(- (* 2003561459544073/1000000000000000 x) 30191289437/10000000000) |
(- (* 2003561459544073/1000000000000000 x) 30191289437/10000000000) |
(* 2003561459544073/1000000000000000 x) |
(* x (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))) |
(* x (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))) |
(* x (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))) |
(* 2003561459544073/1000000000000000 x) |
(* -1 (* x (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000))) |
(* -1 (* x (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000))) |
(* -1 (* x (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000))) |
16316775383/10000000000 |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(+ 16316775383/10000000000 (* x (- (* 141673834365820945903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(+ 16316775383/10000000000 (* x (- (* x (+ 141673834365820945903/100000000000000000000 (* -14058152910286046641008787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) |
(* -14058152910286046641008787/10000000000000000000000000 (pow x 3)) |
(* (pow x 3) (- (* 141673834365820945903/100000000000000000000 (/ 1 x)) 14058152910286046641008787/10000000000000000000000000)) |
(* (pow x 3) (- (* 141673834365820945903/100000000000000000000 (/ 1 x)) (+ 14058152910286046641008787/10000000000000000000000000 (/ 2134856267379707/1000000000000000 (pow x 2))))) |
(* (pow x 3) (- (+ (* 141673834365820945903/100000000000000000000 (/ 1 x)) (* 16316775383/10000000000 (/ 1 (pow x 3)))) (+ 14058152910286046641008787/10000000000000000000000000 (/ 2134856267379707/1000000000000000 (pow x 2))))) |
(* -14058152910286046641008787/10000000000000000000000000 (pow x 3)) |
(* -1 (* (pow x 3) (- 14058152910286046641008787/10000000000000000000000000 (* 141673834365820945903/100000000000000000000 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 14058152910286046641008787/10000000000000000000000000 (* -1 (/ (- 141673834365820945903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))) x))))) |
(* -1 (* (pow x 3) (+ 14058152910286046641008787/10000000000000000000000000 (* -1 (/ (+ 141673834365820945903/100000000000000000000 (* -1 (/ (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x))) x))) x))))) |
-2134856267379707/1000000000000000 |
(- (* 141673834365820945903/100000000000000000000 x) 2134856267379707/1000000000000000) |
(- (* x (+ 141673834365820945903/100000000000000000000 (* -14058152910286046641008787/10000000000000000000000000 x))) 2134856267379707/1000000000000000) |
(- (* x (+ 141673834365820945903/100000000000000000000 (* -14058152910286046641008787/10000000000000000000000000 x))) 2134856267379707/1000000000000000) |
(* -14058152910286046641008787/10000000000000000000000000 (pow x 2)) |
(* (pow x 2) (- (* 141673834365820945903/100000000000000000000 (/ 1 x)) 14058152910286046641008787/10000000000000000000000000)) |
(* (pow x 2) (- (* 141673834365820945903/100000000000000000000 (/ 1 x)) (+ 14058152910286046641008787/10000000000000000000000000 (/ 2134856267379707/1000000000000000 (pow x 2))))) |
(* (pow x 2) (- (* 141673834365820945903/100000000000000000000 (/ 1 x)) (+ 14058152910286046641008787/10000000000000000000000000 (/ 2134856267379707/1000000000000000 (pow x 2))))) |
(* -14058152910286046641008787/10000000000000000000000000 (pow x 2)) |
(* (pow x 2) (- (* 141673834365820945903/100000000000000000000 (/ 1 x)) 14058152910286046641008787/10000000000000000000000000)) |
(* (pow x 2) (- (* -1 (/ (- (* 2134856267379707/1000000000000000 (/ 1 x)) 141673834365820945903/100000000000000000000) x)) 14058152910286046641008787/10000000000000000000000000)) |
(* (pow x 2) (- (* -1 (/ (- (* 2134856267379707/1000000000000000 (/ 1 x)) 141673834365820945903/100000000000000000000) x)) 14058152910286046641008787/10000000000000000000000000)) |
141673834365820945903/100000000000000000000 |
(+ 141673834365820945903/100000000000000000000 (* -14058152910286046641008787/10000000000000000000000000 x)) |
(+ 141673834365820945903/100000000000000000000 (* -14058152910286046641008787/10000000000000000000000000 x)) |
(+ 141673834365820945903/100000000000000000000 (* -14058152910286046641008787/10000000000000000000000000 x)) |
(* -14058152910286046641008787/10000000000000000000000000 x) |
(* x (- (* 141673834365820945903/100000000000000000000 (/ 1 x)) 14058152910286046641008787/10000000000000000000000000)) |
(* x (- (* 141673834365820945903/100000000000000000000 (/ 1 x)) 14058152910286046641008787/10000000000000000000000000)) |
(* x (- (* 141673834365820945903/100000000000000000000 (/ 1 x)) 14058152910286046641008787/10000000000000000000000000)) |
(* -14058152910286046641008787/10000000000000000000000000 x) |
(* -1 (* x (- 14058152910286046641008787/10000000000000000000000000 (* 141673834365820945903/100000000000000000000 (/ 1 x))))) |
(* -1 (* x (- 14058152910286046641008787/10000000000000000000000000 (* 141673834365820945903/100000000000000000000 (/ 1 x))))) |
(* -1 (* x (- 14058152910286046641008787/10000000000000000000000000 (* 141673834365820945903/100000000000000000000 (/ 1 x))))) |
16316775383/10000000000 |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) |
(* -70711/100000 x) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000)) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(* -70711/100000 x) |
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
100000/230753 |
(+ 100000/230753 (* 30191289437/53246947009 x)) |
(+ 100000/230753 (* x (+ 30191289437/53246947009 (* 4730460973492672/12286892763167777 x)))) |
(+ 100000/230753 (* x (+ 30191289437/53246947009 (* x (+ 4730460973492672/12286892763167777 (* 1060196761744488379977/2835237365779254046081 x)))))) |
(/ -1 x) |
(* -1 (/ (+ 1 (* 27061/4481 (/ 1 (pow x 2)))) x)) |
(/ (- (/ 1651231776/20079361 (pow x 3)) (+ 1 (* 27061/4481 (/ 1 (pow x 2))))) x) |
(/ (- (/ 1651231776/20079361 (pow x 3)) (+ 1 (+ (* 27061/4481 (/ 1 (pow x 2))) (* 155005469888505/89975616641 (/ 1 (pow x 4)))))) x) |
(/ -1 x) |
(* -1 (/ (+ 1 (* 27061/4481 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1 (* 27061/4481 (/ 1 (pow x 2)))) (/ 1651231776/20079361 (pow x 3))) x)) |
(* -1 (/ (+ 1 (+ (* -1 (/ (- 1651231776/20079361 (* 155005469888505/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) x)) |
230753/100000 |
(+ 230753/100000 (* -30191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))) |
(* -1 x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(* -1 x) |
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2)))))) |
230753/100000 |
(+ 230753/100000 (* 27061/100000 x)) |
(+ 230753/100000 (* 27061/100000 x)) |
(+ 230753/100000 (* 27061/100000 x)) |
(* 27061/100000 x) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* 27061/100000 x) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
99229/100000 |
(+ 99229/100000 (* 4481/100000 x)) |
(+ 99229/100000 (* 4481/100000 x)) |
(+ 99229/100000 (* 4481/100000 x)) |
(* 4481/100000 x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* 4481/100000 x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
| Outputs |
|---|
16316775383/10000000000 |
#s(literal 16316775383/10000000000 binary64) |
(+ 16316775383/10000000000 (* -1427746267379707/1000000000000000 x)) |
(fma.f64 #s(literal -1427746267379707/1000000000000000 binary64) x #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 1427746267379707/1000000000000000))) |
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -1427746267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 1427746267379707/1000000000000000))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) #s(literal 134362287316698645903/100000000000000000000 binary64)) #s(literal -1427746267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
(/ 1913510371/448100000 x) |
(/.f64 #s(literal 1913510371/448100000 binary64) x) |
(/ (- 1913510371/448100000 (* 3648757816023/62748003125 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x)) x) |
(/ (- (+ 1913510371/448100000 (/ 335267464412236892/281173802003125 (pow x 2))) (* 3648757816023/62748003125 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 335267464412236892/281173802003125 binary64) x) #s(literal -3648757816023/62748003125 binary64)) x)) x) |
(/ (- (+ 1913510371/448100000 (/ 335267464412236892/281173802003125 (pow x 2))) (+ (* 3648757816023/62748003125 (/ 1 x)) (* 31633246848801948256268/1259939806776003125 (/ 1 (pow x 3))))) x) |
(/.f64 (+.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 335267464412236892/281173802003125 binary64) x) #s(literal -3648757816023/62748003125 binary64)) x)) (/.f64 #s(literal -31633246848801948256268/1259939806776003125 binary64) (*.f64 x (*.f64 x x)))) x) |
(/ 1913510371/448100000 x) |
(/.f64 #s(literal 1913510371/448100000 binary64) x) |
(* -1 (/ (- (* 3648757816023/62748003125 (/ 1 x)) 1913510371/448100000) x)) |
(/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) x)) 1913510371/448100000) x)) |
(/.f64 (-.f64 #s(literal 1913510371/448100000 binary64) (/.f64 (+.f64 #s(literal 3648757816023/62748003125 binary64) (/.f64 #s(literal -335267464412236892/281173802003125 binary64) x)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 31633246848801948256268/1259939806776003125 (/ 1 x)) 335267464412236892/281173802003125) x)) 3648757816023/62748003125) x)) 1913510371/448100000) x)) |
(/.f64 (-.f64 #s(literal 1913510371/448100000 binary64) (/.f64 (-.f64 #s(literal 3648757816023/62748003125 binary64) (/.f64 (-.f64 #s(literal 335267464412236892/281173802003125 binary64) (/.f64 #s(literal 31633246848801948256268/1259939806776003125 binary64) x)) x)) x)) x) |
16316775383/10000000000 |
#s(literal 16316775383/10000000000 binary64) |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) #s(literal 134362287316698645903/100000000000000000000 binary64)) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
(* -70711/100000 x) |
(*.f64 x #s(literal -70711/100000 binary64)) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000)) |
(*.f64 x (+.f64 #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x x)))) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x x)) (+.f64 #s(literal -70711/100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) (*.f64 x (*.f64 x x)))))) |
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
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16316775383/10000000000 |
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16316775383/10000000000 |
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(* (pow x 2) (- (* 141673834365820945903/100000000000000000000 (/ 1 x)) 14058152910286046641008787/10000000000000000000000000)) |
(*.f64 x (fma.f64 x #s(literal -14058152910286046641008787/10000000000000000000000000 binary64) #s(literal 141673834365820945903/100000000000000000000 binary64))) |
(* (pow x 2) (- (* -1 (/ (- (* 2134856267379707/1000000000000000 (/ 1 x)) 141673834365820945903/100000000000000000000) x)) 14058152910286046641008787/10000000000000000000000000)) |
(*.f64 x (fma.f64 x (+.f64 #s(literal -14058152910286046641008787/10000000000000000000000000 binary64) (/.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x x))) #s(literal 141673834365820945903/100000000000000000000 binary64))) |
(* (pow x 2) (- (* -1 (/ (- (* 2134856267379707/1000000000000000 (/ 1 x)) 141673834365820945903/100000000000000000000) x)) 14058152910286046641008787/10000000000000000000000000)) |
(*.f64 x (fma.f64 x (+.f64 #s(literal -14058152910286046641008787/10000000000000000000000000 binary64) (/.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x x))) #s(literal 141673834365820945903/100000000000000000000 binary64))) |
141673834365820945903/100000000000000000000 |
#s(literal 141673834365820945903/100000000000000000000 binary64) |
(+ 141673834365820945903/100000000000000000000 (* -14058152910286046641008787/10000000000000000000000000 x)) |
(fma.f64 x #s(literal -14058152910286046641008787/10000000000000000000000000 binary64) #s(literal 141673834365820945903/100000000000000000000 binary64)) |
(+ 141673834365820945903/100000000000000000000 (* -14058152910286046641008787/10000000000000000000000000 x)) |
(fma.f64 x #s(literal -14058152910286046641008787/10000000000000000000000000 binary64) #s(literal 141673834365820945903/100000000000000000000 binary64)) |
(+ 141673834365820945903/100000000000000000000 (* -14058152910286046641008787/10000000000000000000000000 x)) |
(fma.f64 x #s(literal -14058152910286046641008787/10000000000000000000000000 binary64) #s(literal 141673834365820945903/100000000000000000000 binary64)) |
(* -14058152910286046641008787/10000000000000000000000000 x) |
(*.f64 x #s(literal -14058152910286046641008787/10000000000000000000000000 binary64)) |
(* x (- (* 141673834365820945903/100000000000000000000 (/ 1 x)) 14058152910286046641008787/10000000000000000000000000)) |
(fma.f64 x #s(literal -14058152910286046641008787/10000000000000000000000000 binary64) #s(literal 141673834365820945903/100000000000000000000 binary64)) |
(* x (- (* 141673834365820945903/100000000000000000000 (/ 1 x)) 14058152910286046641008787/10000000000000000000000000)) |
(fma.f64 x #s(literal -14058152910286046641008787/10000000000000000000000000 binary64) #s(literal 141673834365820945903/100000000000000000000 binary64)) |
(* x (- (* 141673834365820945903/100000000000000000000 (/ 1 x)) 14058152910286046641008787/10000000000000000000000000)) |
(fma.f64 x #s(literal -14058152910286046641008787/10000000000000000000000000 binary64) #s(literal 141673834365820945903/100000000000000000000 binary64)) |
(* -14058152910286046641008787/10000000000000000000000000 x) |
(*.f64 x #s(literal -14058152910286046641008787/10000000000000000000000000 binary64)) |
(* -1 (* x (- 14058152910286046641008787/10000000000000000000000000 (* 141673834365820945903/100000000000000000000 (/ 1 x))))) |
(fma.f64 x #s(literal -14058152910286046641008787/10000000000000000000000000 binary64) #s(literal 141673834365820945903/100000000000000000000 binary64)) |
(* -1 (* x (- 14058152910286046641008787/10000000000000000000000000 (* 141673834365820945903/100000000000000000000 (/ 1 x))))) |
(fma.f64 x #s(literal -14058152910286046641008787/10000000000000000000000000 binary64) #s(literal 141673834365820945903/100000000000000000000 binary64)) |
(* -1 (* x (- 14058152910286046641008787/10000000000000000000000000 (* 141673834365820945903/100000000000000000000 (/ 1 x))))) |
(fma.f64 x #s(literal -14058152910286046641008787/10000000000000000000000000 binary64) #s(literal 141673834365820945903/100000000000000000000 binary64)) |
16316775383/10000000000 |
#s(literal 16316775383/10000000000 binary64) |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) #s(literal 134362287316698645903/100000000000000000000 binary64)) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
(* -70711/100000 x) |
(*.f64 x #s(literal -70711/100000 binary64)) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000)) |
(*.f64 x (+.f64 #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x x)))) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x x)) (+.f64 #s(literal -70711/100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) (*.f64 x (*.f64 x x)))))) |
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 335267464412236892/281173802003125 binary64) x) #s(literal -3648757816023/62748003125 binary64)) (*.f64 x (*.f64 x x))) (-.f64 #s(literal -70711/100000 binary64) (/.f64 #s(literal -1913510371/448100000 binary64) (*.f64 x x))))) |
(* -70711/100000 x) |
(*.f64 x #s(literal -70711/100000 binary64)) |
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(*.f64 x (-.f64 #s(literal -70711/100000 binary64) (/.f64 #s(literal -1913510371/448100000 binary64) (*.f64 x x)))) |
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x x)) (+.f64 #s(literal -70711/100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) (*.f64 x (*.f64 x x)))))) |
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(*.f64 x (-.f64 #s(literal -70711/100000 binary64) (+.f64 (/.f64 (+.f64 #s(literal 3648757816023/62748003125 binary64) (/.f64 #s(literal -335267464412236892/281173802003125 binary64) x)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1913510371/448100000 binary64) (*.f64 x x))))) |
100000/230753 |
#s(literal 100000/230753 binary64) |
(+ 100000/230753 (* 30191289437/53246947009 x)) |
(fma.f64 x #s(literal 30191289437/53246947009 binary64) #s(literal 100000/230753 binary64)) |
(+ 100000/230753 (* x (+ 30191289437/53246947009 (* 4730460973492672/12286892763167777 x)))) |
(fma.f64 x (fma.f64 x #s(literal 4730460973492672/12286892763167777 binary64) #s(literal 30191289437/53246947009 binary64)) #s(literal 100000/230753 binary64)) |
(+ 100000/230753 (* x (+ 30191289437/53246947009 (* x (+ 4730460973492672/12286892763167777 (* 1060196761744488379977/2835237365779254046081 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1060196761744488379977/2835237365779254046081 binary64) #s(literal 4730460973492672/12286892763167777 binary64)) #s(literal 30191289437/53246947009 binary64)) #s(literal 100000/230753 binary64)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (* 27061/4481 (/ 1 (pow x 2)))) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x))) x) |
(/ (- (/ 1651231776/20079361 (pow x 3)) (+ 1 (* 27061/4481 (/ 1 (pow x 2))))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x)))) x) |
(/ (- (/ 1651231776/20079361 (pow x 3)) (+ 1 (+ (* 27061/4481 (/ 1 (pow x 2))) (* 155005469888505/89975616641 (/ 1 (pow x 4)))))) x) |
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -155005469888505/89975616641 binary64) x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x)))) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (* 27061/4481 (/ 1 (pow x 2)))) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x))) x) |
(* -1 (/ (- (+ 1 (* 27061/4481 (/ 1 (pow x 2)))) (/ 1651231776/20079361 (pow x 3))) x)) |
(/.f64 (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x)))) x) |
(* -1 (/ (+ 1 (+ (* -1 (/ (- 1651231776/20079361 (* 155005469888505/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -155005469888505/89975616641 binary64) x)) (*.f64 x (*.f64 x x))))) x) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -30191289437/10000000000 x)) |
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)) |
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x)))) |
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x)) (/.f64 #s(literal -1651231776/20079361 binary64) (*.f64 x (*.f64 x x)))))) |
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) |
(*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) (*.f64 x (*.f64 x x))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x))))) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))) |
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x)))) |
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x)) (/.f64 #s(literal -1651231776/20079361 binary64) (*.f64 x (*.f64 x x)))))) |
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2)))))) |
(*.f64 x (-.f64 #s(literal -1 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x))))) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* 27061/100000 x)) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* 27061/100000 x)) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* 27061/100000 x)) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
99229/100000 |
#s(literal 99229/100000 binary64) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
Compiled 43 570 to 3 803 computations (91.3% saved)
21 alts after pruning (15 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 182 | 9 | 1 191 |
| Fresh | 3 | 6 | 9 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 187 | 21 | 1 208 |
| Status | Accuracy | Program |
|---|---|---|
| 66.9% | (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) x) (/.f64 #s(literal 70711/100000 binary64) x) (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) | |
| ▶ | 53.4% | (fma.f64 (*.f64 x x) #s(literal 134362287316698645903/100000000000000000000 binary64) (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))) |
| 54.9% | (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) #s(literal 134362287316698645903/100000000000000000000 binary64)) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) | |
| ✓ | 54.7% | (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -14058152910286046641008787/10000000000000000000000000 binary64) #s(literal 141673834365820945903/100000000000000000000 binary64)) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
| 53.3% | (fma.f64 x (fma.f64 x #s(literal 141673834365820945903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) | |
| ✓ | 53.5% | (fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
| 49.3% | (fma.f64 x #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x)) | |
| ▶ | 60.1% | (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
| 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x)))) | |
| 52.9% | (/.f64 #s(literal 70711/100000 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1060196761744488379977/2835237365779254046081 binary64) #s(literal 4730460973492672/12286892763167777 binary64)) #s(literal 30191289437/53246947009 binary64)) #s(literal 100000/230753 binary64))) | |
| 73.6% | (/.f64 #s(literal 70711/100000 binary64) (pow.f64 (pow.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| ▶ | 49.4% | (/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal -1 binary64) x)) |
| 60.1% | (+.f64 (*.f64 (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 70711/100000 binary64))) | |
| ▶ | 74.4% | (+.f64 (*.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 70711/100000 binary64)) x)) |
| 41.7% | (+.f64 (*.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal 70711/100000 binary64)) (fma.f64 x x #s(literal 0 binary64)))) | |
| ▶ | 99.9% | (+.f64 (*.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) (*.f64 x #s(literal -70711/100000 binary64))) |
| ✓ | 99.9% | (*.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #s(literal 70711/100000 binary64)) |
| 72.4% | (*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal -1 binary64)))) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))) #s(literal 70711/100000 binary64))) | |
| ✓ | 49.5% | (*.f64 x #s(literal -70711/100000 binary64)) |
| ✓ | 53.3% | (*.f64 #s(literal 70711/100000 binary64) (fma.f64 x (fma.f64 x #s(literal 2003561459544073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))) |
| ✓ | 52.5% | #s(literal 16316775383/10000000000 binary64) |
Compiled 590 to 406 computations (31.2% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 70711/100000 binary64)) |
| ✓ | cost-diff | 192 | (+.f64 (*.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 70711/100000 binary64)) x)) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) |
| ✓ | cost-diff | 1088 | (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 70711/100000 binary64)) x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) |
| ✓ | cost-diff | 1024 | (/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal -1 binary64) x)) |
| ✓ | cost-diff | -64 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
| ✓ | cost-diff | 384 | (fma.f64 (*.f64 x x) #s(literal 134362287316698645903/100000000000000000000 binary64) (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 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 | 192 | (+.f64 (*.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) (*.f64 x #s(literal -70711/100000 binary64))) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) |
| 6 424× | accelerator-lowering-fma.f32 |
| 6 424× | accelerator-lowering-fma.f64 |
| 3 780× | *-lowering-*.f32 |
| 3 780× | *-lowering-*.f64 |
| 1 798× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 219 |
| 1 | 74 | 217 |
| 2 | 131 | 216 |
| 3 | 247 | 208 |
| 4 | 423 | 208 |
| 5 | 833 | 208 |
| 6 | 2144 | 208 |
| 7 | 4556 | 208 |
| 8 | 6172 | 208 |
| 0 | 8249 | 176 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) 70711/100000) (* x -70711/100000)) |
(* (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) 70711/100000) |
(/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) |
(+ (* x 27061/100000) 230753/100000) |
x |
27061/100000 |
230753/100000 |
(+ (* x (+ (* x 4481/100000) 99229/100000)) 1) |
(+ (* x 4481/100000) 99229/100000) |
4481/100000 |
99229/100000 |
1 |
70711/100000 |
(* x -70711/100000) |
-70711/100000 |
(+ (* x -2134856267379707/1000000000000000) 16316775383/10000000000) |
x |
-2134856267379707/1000000000000000 |
16316775383/10000000000 |
(+ (* (* x x) 134362287316698645903/100000000000000000000) (+ (* x -2134856267379707/1000000000000000) 16316775383/10000000000)) |
(* x x) |
x |
134362287316698645903/100000000000000000000 |
(+ (* x -2134856267379707/1000000000000000) 16316775383/10000000000) |
-2134856267379707/1000000000000000 |
16316775383/10000000000 |
(/ 70711/100000 (/ -1 x)) |
70711/100000 |
(/ -1 x) |
-1 |
x |
(+ (* (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) 70711/100000) (/ (* (- 0 (+ (* x x) 0)) 70711/100000) x)) |
(* (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) 70711/100000) |
(/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) |
(+ (* x 27061/100000) 230753/100000) |
x |
27061/100000 |
230753/100000 |
(+ (* x (+ (* x 4481/100000) 99229/100000)) 1) |
(+ (* x 4481/100000) 99229/100000) |
4481/100000 |
99229/100000 |
1 |
70711/100000 |
(/ (* (- 0 (+ (* x x) 0)) 70711/100000) x) |
(* (- 0 (+ (* x x) 0)) 70711/100000) |
(- 0 (+ (* x x) 0)) |
0 |
(+ (* x x) 0) |
| Outputs |
|---|
(+ (* (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) 70711/100000) (* x -70711/100000)) |
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 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) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) 70711/100000) |
(/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 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) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) |
(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) |
(+ (* x 27061/100000) 230753/100000) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
x |
27061/100000 |
#s(literal 27061/100000 binary64) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ (* x (+ (* x 4481/100000) 99229/100000)) 1) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(+ (* x 4481/100000) 99229/100000) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
4481/100000 |
#s(literal 4481/100000 binary64) |
99229/100000 |
#s(literal 99229/100000 binary64) |
1 |
#s(literal 1 binary64) |
70711/100000 |
#s(literal 70711/100000 binary64) |
(* x -70711/100000) |
(fma.f64 x #s(literal -70711/100000 binary64) #s(literal 0 binary64)) |
-70711/100000 |
#s(literal -70711/100000 binary64) |
(+ (* x -2134856267379707/1000000000000000) 16316775383/10000000000) |
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
x |
-2134856267379707/1000000000000000 |
#s(literal -2134856267379707/1000000000000000 binary64) |
16316775383/10000000000 |
#s(literal 16316775383/10000000000 binary64) |
(+ (* (* x x) 134362287316698645903/100000000000000000000) (+ (* x -2134856267379707/1000000000000000) 16316775383/10000000000)) |
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
134362287316698645903/100000000000000000000 |
#s(literal 134362287316698645903/100000000000000000000 binary64) |
(+ (* x -2134856267379707/1000000000000000) 16316775383/10000000000) |
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
-2134856267379707/1000000000000000 |
#s(literal -2134856267379707/1000000000000000 binary64) |
16316775383/10000000000 |
#s(literal 16316775383/10000000000 binary64) |
(/ 70711/100000 (/ -1 x)) |
(fma.f64 x #s(literal -70711/100000 binary64) #s(literal 0 binary64)) |
70711/100000 |
#s(literal 70711/100000 binary64) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
-1 |
#s(literal -1 binary64) |
x |
(+ (* (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) 70711/100000) (/ (* (- 0 (+ (* x x) 0)) 70711/100000) x)) |
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 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) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) 70711/100000) |
(/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 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) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) |
(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) |
(+ (* x 27061/100000) 230753/100000) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
x |
27061/100000 |
#s(literal 27061/100000 binary64) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ (* x (+ (* x 4481/100000) 99229/100000)) 1) |
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) |
(+ (* x 4481/100000) 99229/100000) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
4481/100000 |
#s(literal 4481/100000 binary64) |
99229/100000 |
#s(literal 99229/100000 binary64) |
1 |
#s(literal 1 binary64) |
70711/100000 |
#s(literal 70711/100000 binary64) |
(/ (* (- 0 (+ (* x x) 0)) 70711/100000) x) |
(fma.f64 x #s(literal -70711/100000 binary64) #s(literal 0 binary64)) |
(* (- 0 (+ (* x x) 0)) 70711/100000) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -70711/100000 binary64) #s(literal 0 binary64)) |
(- 0 (+ (* x x) 0)) |
(fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) |
0 |
#s(literal 0 binary64) |
(+ (* x x) 0) |
(fma.f64 x x #s(literal 0 binary64)) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
| ✓ | accuracy | 99.7% | (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
| ✓ | accuracy | 74.3% | (/.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 | 52.6% | (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 70711/100000 binary64)) x) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -1 binary64) x) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal -1 binary64) x)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 x x) #s(literal 134362287316698645903/100000000000000000000 binary64) (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))) |
| ✓ | accuracy | 99.7% | (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
| ✓ | accuracy | 99.7% | (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) |
| ✓ | accuracy | 99.7% | (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
| ✓ | accuracy | 99.7% | (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
| ✓ | accuracy | 74.3% | (/.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))) |
| 111.0ms | 256× | 0 | valid |
Compiled 212 to 37 computations (82.5% saved)
const: 52.0ms (56.9% of total)ival-mult: 15.0ms (16.4% of total)ival-add: 13.0ms (14.2% of total)ival-div: 10.0ms (10.9% of total)ival-sub: 1.0ms (1.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) 70711/100000)> |
#<alt (+ (* (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) 70711/100000) (* x -70711/100000))> |
#<alt (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))> |
#<alt (+ (* x 27061/100000) 230753/100000)> |
#<alt (+ (* x -2134856267379707/1000000000000000) 16316775383/10000000000)> |
#<alt (+ (* (* x x) 134362287316698645903/100000000000000000000) (+ (* x -2134856267379707/1000000000000000) 16316775383/10000000000))> |
#<alt (* x x)> |
#<alt (/ 70711/100000 (/ -1 x))> |
#<alt (/ -1 x)> |
#<alt (/ (* (- 0 (+ (* x x) 0)) 70711/100000) x)> |
#<alt (+ (* (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) 70711/100000) (/ (* (- 0 (+ (* x x) 0)) 70711/100000) x))> |
#<alt (* (- 0 (+ (* x x) 0)) 70711/100000)> |
#<alt (+ (* x 4481/100000) 99229/100000)> |
| Outputs |
|---|
#<alt 16316775383/10000000000> |
#<alt (+ 16316775383/10000000000 (* -1427746267379707/1000000000000000 x))> |
#<alt (+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 1427746267379707/1000000000000000)))> |
#<alt (+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 1427746267379707/1000000000000000)))> |
#<alt (/ 1913510371/448100000 x)> |
#<alt (/ (- 1913510371/448100000 (* 3648757816023/62748003125 (/ 1 x))) x)> |
#<alt (/ (- (+ 1913510371/448100000 (/ 335267464412236892/281173802003125 (pow x 2))) (* 3648757816023/62748003125 (/ 1 x))) x)> |
#<alt (/ (- (+ 1913510371/448100000 (/ 335267464412236892/281173802003125 (pow x 2))) (+ (* 3648757816023/62748003125 (/ 1 x)) (* 31633246848801948256268/1259939806776003125 (/ 1 (pow x 3))))) x)> |
#<alt (/ 1913510371/448100000 x)> |
#<alt (* -1 (/ (- (* 3648757816023/62748003125 (/ 1 x)) 1913510371/448100000) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) x)) 1913510371/448100000) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 31633246848801948256268/1259939806776003125 (/ 1 x)) 335267464412236892/281173802003125) x)) 3648757816023/62748003125) x)) 1913510371/448100000) x))> |
#<alt 16316775383/10000000000> |
#<alt (+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))> |
#<alt (+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)))> |
#<alt (+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000)))> |
#<alt (* -70711/100000 x)> |
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))> |
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))> |
#<alt (* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))> |
#<alt (* -70711/100000 x)> |
#<alt (* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2))))))> |
#<alt 230753/100000> |
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))> |
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))> |
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))> |
#<alt (/ 27061/4481 x)> |
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)> |
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)> |
#<alt (/ 27061/4481 x)> |
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))> |
#<alt 230753/100000> |
#<alt (+ 230753/100000 (* 27061/100000 x))> |
#<alt (+ 230753/100000 (* 27061/100000 x))> |
#<alt (+ 230753/100000 (* 27061/100000 x))> |
#<alt (* 27061/100000 x)> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* 27061/100000 x)> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))> |
#<alt 16316775383/10000000000> |
#<alt (+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))> |
#<alt (+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))> |
#<alt (+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))> |
#<alt (* -2134856267379707/1000000000000000 x)> |
#<alt (* x (- (* 16316775383/10000000000 (/ 1 x)) 2134856267379707/1000000000000000))> |
#<alt (* x (- (* 16316775383/10000000000 (/ 1 x)) 2134856267379707/1000000000000000))> |
#<alt (* x (- (* 16316775383/10000000000 (/ 1 x)) 2134856267379707/1000000000000000))> |
#<alt (* -2134856267379707/1000000000000000 x)> |
#<alt (* -1 (* x (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x)))))> |
#<alt (* -1 (* x (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x)))))> |
#<alt (* -1 (* x (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x)))))> |
#<alt 16316775383/10000000000> |
#<alt (+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))> |
#<alt (+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)))> |
#<alt (+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)))> |
#<alt (* 134362287316698645903/100000000000000000000 (pow x 2))> |
#<alt (* (pow x 2) (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 134362287316698645903/100000000000000000000 (/ 16316775383/10000000000 (pow x 2))) (* 2134856267379707/1000000000000000 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 134362287316698645903/100000000000000000000 (/ 16316775383/10000000000 (pow x 2))) (* 2134856267379707/1000000000000000 (/ 1 x))))> |
#<alt (* 134362287316698645903/100000000000000000000 (pow x 2))> |
#<alt (* (pow x 2) (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 134362287316698645903/100000000000000000000 (* -1 (/ (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x))) x))))> |
#<alt (* (pow x 2) (+ 134362287316698645903/100000000000000000000 (* -1 (/ (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x))) x))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* -70711/100000 x)> |
#<alt (* -70711/100000 x)> |
#<alt (* -70711/100000 x)> |
#<alt (* -70711/100000 x)> |
#<alt (* -70711/100000 x)> |
#<alt (* -70711/100000 x)> |
#<alt (* -70711/100000 x)> |
#<alt (* -70711/100000 x)> |
#<alt (* -70711/100000 x)> |
#<alt (* -70711/100000 x)> |
#<alt (* -70711/100000 x)> |
#<alt (* -70711/100000 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (* -70711/100000 x)> |
#<alt (* -70711/100000 x)> |
#<alt (* -70711/100000 x)> |
#<alt (* -70711/100000 x)> |
#<alt (* -70711/100000 x)> |
#<alt (* -70711/100000 x)> |
#<alt (* -70711/100000 x)> |
#<alt (* -70711/100000 x)> |
#<alt (* -70711/100000 x)> |
#<alt (* -70711/100000 x)> |
#<alt (* -70711/100000 x)> |
#<alt (* -70711/100000 x)> |
#<alt 16316775383/10000000000> |
#<alt (+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))> |
#<alt (+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)))> |
#<alt (+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000)))> |
#<alt (* -70711/100000 x)> |
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))> |
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))> |
#<alt (* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))> |
#<alt (* -70711/100000 x)> |
#<alt (* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2))))))> |
#<alt (* -70711/100000 (pow x 2))> |
#<alt (* -70711/100000 (pow x 2))> |
#<alt (* -70711/100000 (pow x 2))> |
#<alt (* -70711/100000 (pow x 2))> |
#<alt (* -70711/100000 (pow x 2))> |
#<alt (* -70711/100000 (pow x 2))> |
#<alt (* -70711/100000 (pow x 2))> |
#<alt (* -70711/100000 (pow x 2))> |
#<alt (* -70711/100000 (pow x 2))> |
#<alt (* -70711/100000 (pow x 2))> |
#<alt (* -70711/100000 (pow x 2))> |
#<alt (* -70711/100000 (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))))> |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (+ (* x -2134856267379707/1000000000000000) 16316775383/10000000000) |
| 0.0ms | x | @ | 0 | (/ -1 x) |
| 0.0ms | x | @ | 0 | (+ (* (* x x) 134362287316698645903/100000000000000000000) (+ (* x -2134856267379707/1000000000000000) 16316775383/10000000000)) |
| 0.0ms | x | @ | inf | (/ -1 x) |
| 0.0ms | x | @ | 0 | (* (- 0 (+ (* x x) 0)) 70711/100000) |
| 1× | batch-egg-rewrite |
| 5 214× | *-lowering-*.f32 |
| 5 214× | *-lowering-*.f64 |
| 4 348× | /-lowering-/.f32 |
| 4 348× | /-lowering-/.f64 |
| 3 466× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 128 |
| 1 | 217 | 125 |
| 2 | 1990 | 125 |
| 0 | 8563 | 107 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) 70711/100000) |
(+ (* (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) 70711/100000) (* x -70711/100000)) |
(/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) |
(+ (* x 27061/100000) 230753/100000) |
(+ (* x -2134856267379707/1000000000000000) 16316775383/10000000000) |
(+ (* (* x x) 134362287316698645903/100000000000000000000) (+ (* x -2134856267379707/1000000000000000) 16316775383/10000000000)) |
(* x x) |
(/ 70711/100000 (/ -1 x)) |
(/ -1 x) |
(/ (* (- 0 (+ (* x x) 0)) 70711/100000) x) |
(+ (* (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) 70711/100000) (/ (* (- 0 (+ (* x x) 0)) 70711/100000) x)) |
(* (- 0 (+ (* x x) 0)) 70711/100000) |
(+ (* x 4481/100000) 99229/100000) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)))) |
(/.f64 #s(literal 70711/100000 binary64) (/.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)))) |
(/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 70711/100000 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) #s(literal 70711/100000 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
(pow.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #s(literal 70711/100000 binary64))) |
(*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (/.f64 #s(literal 70711/100000 binary64) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) |
(*.f64 #s(literal 70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)) (fma.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 x (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) #s(literal 1 binary64))) (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 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))) #s(literal 1 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 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))) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal -1 binary64))) |
(+.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (*.f64 x #s(literal -70711/100000 binary64))) |
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)) (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #s(literal 70711/100000 binary64) (*.f64 #s(literal 70711/100000 binary64) x))) (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 5000045521/10000000000 binary64)) (fma.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #s(literal 70711/100000 binary64) (*.f64 #s(literal 70711/100000 binary64) x)))) |
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) (*.f64 x #s(literal -70711/100000 binary64))) |
(fma.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (/.f64 #s(literal 70711/100000 binary64) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (*.f64 x #s(literal -70711/100000 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #s(literal 70711/100000 binary64) (*.f64 x #s(literal -70711/100000 binary64))) |
(fma.f64 #s(literal 70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (*.f64 x #s(literal -70711/100000 binary64))) |
(fma.f64 #s(literal 70711/100000 binary64) (-.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
(fma.f64 #s(literal -70711/100000 binary64) x (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 70711/100000 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 70711/100000 binary64) (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (*.f64 x #s(literal -70711/100000 binary64))) |
(fma.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)) (fma.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 x (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) #s(literal 1 binary64))) (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 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))) #s(literal 1 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) (*.f64 x #s(literal -70711/100000 binary64))) |
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(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal 70711/100000 binary64) x)) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (neg.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64))))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal 70711/100000 binary64) x)) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 70711/100000 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)))))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal 70711/100000 binary64) x)) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) #s(literal 70711/100000 binary64)))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)) (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #s(literal 70711/100000 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 70711/100000 binary64) x)))) (*.f64 (fma.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #s(literal 70711/100000 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 70711/100000 binary64) x))) (/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 70711/100000 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 70711/100000 binary64))) (fma.f64 x x #s(literal 0 binary64))))) (*.f64 (fma.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #s(literal 70711/100000 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 70711/100000 binary64) x))) (fma.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #s(literal 70711/100000 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 70711/100000 binary64) x))))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 70711/100000 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) x)) (-.f64 (*.f64 #s(literal 70711/100000 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) x)) (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)) (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))) (fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal 353558218835431/1000000000000000 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)) (*.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)) (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #s(literal 70711/100000 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 70711/100000 binary64) x))) (-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)) (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 70711/100000 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 70711/100000 binary64))) (fma.f64 x x #s(literal 0 binary64))))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal 353558218835431/1000000000000000 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)) (*.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)) (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 70711/100000 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) x)) (-.f64 (*.f64 #s(literal 70711/100000 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) x)) (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)) (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)) (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 70711/100000 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 70711/100000 binary64))) (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #s(literal 70711/100000 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 70711/100000 binary64) x))))) |
(+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 70711/100000 binary64)))) |
(neg.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 70711/100000 binary64))) |
(neg.f64 (*.f64 #s(literal 70711/100000 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal 70711/100000 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal 70711/100000 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (*.f64 #s(literal 70711/100000 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)))) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) |
(/.f64 (*.f64 #s(literal 70711/100000 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64))) |
(*.f64 #s(literal 70711/100000 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 70711/100000 binary64)) |
(+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64)) |
(+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) |
(-.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64))) (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)) (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)) (+.f64 #s(literal 9846394441/10000000000 binary64) (-.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 20079361/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64))))) |
(/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64))) (neg.f64 (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #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 (fma.f64 x x #s(literal 0 binary64)) #s(literal 20079361/10000000000 binary64))) (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #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)))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64))) (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #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 (fma.f64 x x #s(literal 0 binary64)) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64))))) |
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #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 |
| 10 724× | accelerator-lowering-fma.f32 |
| 10 724× | accelerator-lowering-fma.f64 |
| 3 114× | *-lowering-*.f32 |
| 3 114× | *-lowering-*.f64 |
| 2 498× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 188 | 920 |
| 1 | 523 | 904 |
| 2 | 1234 | 896 |
| 3 | 3023 | 844 |
| 4 | 7977 | 844 |
| 0 | 8377 | 766 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
16316775383/10000000000 |
(+ 16316775383/10000000000 (* -1427746267379707/1000000000000000 x)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 1427746267379707/1000000000000000))) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 1427746267379707/1000000000000000))) |
(/ 1913510371/448100000 x) |
(/ (- 1913510371/448100000 (* 3648757816023/62748003125 (/ 1 x))) x) |
(/ (- (+ 1913510371/448100000 (/ 335267464412236892/281173802003125 (pow x 2))) (* 3648757816023/62748003125 (/ 1 x))) x) |
(/ (- (+ 1913510371/448100000 (/ 335267464412236892/281173802003125 (pow x 2))) (+ (* 3648757816023/62748003125 (/ 1 x)) (* 31633246848801948256268/1259939806776003125 (/ 1 (pow x 3))))) x) |
(/ 1913510371/448100000 x) |
(* -1 (/ (- (* 3648757816023/62748003125 (/ 1 x)) 1913510371/448100000) x)) |
(* -1 (/ (- (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) x)) 1913510371/448100000) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 31633246848801948256268/1259939806776003125 (/ 1 x)) 335267464412236892/281173802003125) x)) 3648757816023/62748003125) x)) 1913510371/448100000) x)) |
16316775383/10000000000 |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) |
(* -70711/100000 x) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000)) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(* -70711/100000 x) |
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
230753/100000 |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(/ 27061/4481 x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) |
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) |
(/ 27061/4481 x) |
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) |
230753/100000 |
(+ 230753/100000 (* 27061/100000 x)) |
(+ 230753/100000 (* 27061/100000 x)) |
(+ 230753/100000 (* 27061/100000 x)) |
(* 27061/100000 x) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* 27061/100000 x) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
16316775383/10000000000 |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(* -2134856267379707/1000000000000000 x) |
(* x (- (* 16316775383/10000000000 (/ 1 x)) 2134856267379707/1000000000000000)) |
(* x (- (* 16316775383/10000000000 (/ 1 x)) 2134856267379707/1000000000000000)) |
(* x (- (* 16316775383/10000000000 (/ 1 x)) 2134856267379707/1000000000000000)) |
(* -2134856267379707/1000000000000000 x) |
(* -1 (* x (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x))))) |
(* -1 (* x (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x))))) |
(* -1 (* x (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x))))) |
16316775383/10000000000 |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(* 134362287316698645903/100000000000000000000 (pow x 2)) |
(* (pow x 2) (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x)))) |
(* (pow x 2) (- (+ 134362287316698645903/100000000000000000000 (/ 16316775383/10000000000 (pow x 2))) (* 2134856267379707/1000000000000000 (/ 1 x)))) |
(* (pow x 2) (- (+ 134362287316698645903/100000000000000000000 (/ 16316775383/10000000000 (pow x 2))) (* 2134856267379707/1000000000000000 (/ 1 x)))) |
(* 134362287316698645903/100000000000000000000 (pow x 2)) |
(* (pow x 2) (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x)))) |
(* (pow x 2) (+ 134362287316698645903/100000000000000000000 (* -1 (/ (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x))) x)))) |
(* (pow x 2) (+ 134362287316698645903/100000000000000000000 (* -1 (/ (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x))) x)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
(* -70711/100000 x) |
16316775383/10000000000 |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) |
(* -70711/100000 x) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000)) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(* -70711/100000 x) |
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(* -70711/100000 (pow x 2)) |
(* -70711/100000 (pow x 2)) |
(* -70711/100000 (pow x 2)) |
(* -70711/100000 (pow x 2)) |
(* -70711/100000 (pow x 2)) |
(* -70711/100000 (pow x 2)) |
(* -70711/100000 (pow x 2)) |
(* -70711/100000 (pow x 2)) |
(* -70711/100000 (pow x 2)) |
(* -70711/100000 (pow x 2)) |
(* -70711/100000 (pow x 2)) |
(* -70711/100000 (pow x 2)) |
99229/100000 |
(+ 99229/100000 (* 4481/100000 x)) |
(+ 99229/100000 (* 4481/100000 x)) |
(+ 99229/100000 (* 4481/100000 x)) |
(* 4481/100000 x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* 4481/100000 x) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
| Outputs |
|---|
16316775383/10000000000 |
#s(literal 16316775383/10000000000 binary64) |
(+ 16316775383/10000000000 (* -1427746267379707/1000000000000000 x)) |
(fma.f64 #s(literal -1427746267379707/1000000000000000 binary64) x #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 1427746267379707/1000000000000000))) |
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -1427746267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 1427746267379707/1000000000000000))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) #s(literal 134362287316698645903/100000000000000000000 binary64)) #s(literal -1427746267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
(/ 1913510371/448100000 x) |
(/.f64 #s(literal 1913510371/448100000 binary64) x) |
(/ (- 1913510371/448100000 (* 3648757816023/62748003125 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x)) x) |
(/ (- (+ 1913510371/448100000 (/ 335267464412236892/281173802003125 (pow x 2))) (* 3648757816023/62748003125 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 335267464412236892/281173802003125 binary64) x) #s(literal -3648757816023/62748003125 binary64)) x)) x) |
(/ (- (+ 1913510371/448100000 (/ 335267464412236892/281173802003125 (pow x 2))) (+ (* 3648757816023/62748003125 (/ 1 x)) (* 31633246848801948256268/1259939806776003125 (/ 1 (pow x 3))))) x) |
(/.f64 (-.f64 #s(literal 1913510371/448100000 binary64) (/.f64 (+.f64 #s(literal 3648757816023/62748003125 binary64) (/.f64 (+.f64 (/.f64 #s(literal 31633246848801948256268/1259939806776003125 binary64) x) #s(literal -335267464412236892/281173802003125 binary64)) x)) x)) x) |
(/ 1913510371/448100000 x) |
(/.f64 #s(literal 1913510371/448100000 binary64) x) |
(* -1 (/ (- (* 3648757816023/62748003125 (/ 1 x)) 1913510371/448100000) x)) |
(/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) x)) 1913510371/448100000) x)) |
(/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 335267464412236892/281173802003125 binary64) x) #s(literal -3648757816023/62748003125 binary64)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 31633246848801948256268/1259939806776003125 (/ 1 x)) 335267464412236892/281173802003125) x)) 3648757816023/62748003125) x)) 1913510371/448100000) x)) |
(/.f64 (-.f64 #s(literal 1913510371/448100000 binary64) (/.f64 (+.f64 #s(literal 3648757816023/62748003125 binary64) (/.f64 (+.f64 (/.f64 #s(literal 31633246848801948256268/1259939806776003125 binary64) x) #s(literal -335267464412236892/281173802003125 binary64)) x)) x)) x) |
16316775383/10000000000 |
#s(literal 16316775383/10000000000 binary64) |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) #s(literal 134362287316698645903/100000000000000000000 binary64)) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
(* -70711/100000 x) |
(*.f64 x #s(literal -70711/100000 binary64)) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000)) |
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x)) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x)) x)) |
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 335267464412236892/281173802003125 binary64) x) #s(literal -3648757816023/62748003125 binary64)) x)) x)) |
(* -70711/100000 x) |
(*.f64 x #s(literal -70711/100000 binary64)) |
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x)) |
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x)) x)) |
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 335267464412236892/281173802003125 binary64) x) #s(literal -3648757816023/62748003125 binary64)) x)) x)) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* -20191289437/10000000000 x)) |
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) |
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) |
(/ 27061/4481 x) |
(/.f64 #s(literal 27061/4481 binary64) x) |
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) |
(/.f64 (+.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 (/.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 (/.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 (/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (/.f64 #s(literal -14315508183474457216/403180738168321 binary64) x)) x) #s(literal -1651231776/20079361 binary64)) x)) x) |
230753/100000 |
#s(literal 230753/100000 binary64) |
(+ 230753/100000 (* 27061/100000 x)) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* 27061/100000 x)) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(+ 230753/100000 (* 27061/100000 x)) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(* 27061/100000 x) |
(*.f64 x #s(literal 27061/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) |
16316775383/10000000000 |
#s(literal 16316775383/10000000000 binary64) |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
(* -2134856267379707/1000000000000000 x) |
(*.f64 x #s(literal -2134856267379707/1000000000000000 binary64)) |
(* x (- (* 16316775383/10000000000 (/ 1 x)) 2134856267379707/1000000000000000)) |
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
(* x (- (* 16316775383/10000000000 (/ 1 x)) 2134856267379707/1000000000000000)) |
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
(* x (- (* 16316775383/10000000000 (/ 1 x)) 2134856267379707/1000000000000000)) |
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
(* -2134856267379707/1000000000000000 x) |
(*.f64 x #s(literal -2134856267379707/1000000000000000 binary64)) |
(* -1 (* x (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x))))) |
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
(* -1 (* x (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x))))) |
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
(* -1 (* x (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x))))) |
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
16316775383/10000000000 |
#s(literal 16316775383/10000000000 binary64) |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
(* 134362287316698645903/100000000000000000000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64))) |
(* (pow x 2) (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64))) |
(* (pow x 2) (- (+ 134362287316698645903/100000000000000000000 (/ 16316775383/10000000000 (pow x 2))) (* 2134856267379707/1000000000000000 (/ 1 x)))) |
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
(* (pow x 2) (- (+ 134362287316698645903/100000000000000000000 (/ 16316775383/10000000000 (pow x 2))) (* 2134856267379707/1000000000000000 (/ 1 x)))) |
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
(* 134362287316698645903/100000000000000000000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64))) |
(* (pow x 2) (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64))) |
(* (pow x 2) (+ 134362287316698645903/100000000000000000000 (* -1 (/ (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x))) x)))) |
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
(* (pow x 2) (+ 134362287316698645903/100000000000000000000 (* -1 (/ (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x))) x)))) |
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* -70711/100000 x) |
(*.f64 x #s(literal -70711/100000 binary64)) |
(* -70711/100000 x) |
(*.f64 x #s(literal -70711/100000 binary64)) |
(* -70711/100000 x) |
(*.f64 x #s(literal -70711/100000 binary64)) |
(* -70711/100000 x) |
(*.f64 x #s(literal -70711/100000 binary64)) |
(* -70711/100000 x) |
(*.f64 x #s(literal -70711/100000 binary64)) |
(* -70711/100000 x) |
(*.f64 x #s(literal -70711/100000 binary64)) |
(* -70711/100000 x) |
(*.f64 x #s(literal -70711/100000 binary64)) |
(* -70711/100000 x) |
(*.f64 x #s(literal -70711/100000 binary64)) |
(* -70711/100000 x) |
(*.f64 x #s(literal -70711/100000 binary64)) |
(* -70711/100000 x) |
(*.f64 x #s(literal -70711/100000 binary64)) |
(* -70711/100000 x) |
(*.f64 x #s(literal -70711/100000 binary64)) |
(* -70711/100000 x) |
(*.f64 x #s(literal -70711/100000 binary64)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -70711/100000 x) |
(*.f64 x #s(literal -70711/100000 binary64)) |
(* -70711/100000 x) |
(*.f64 x #s(literal -70711/100000 binary64)) |
(* -70711/100000 x) |
(*.f64 x #s(literal -70711/100000 binary64)) |
(* -70711/100000 x) |
(*.f64 x #s(literal -70711/100000 binary64)) |
(* -70711/100000 x) |
(*.f64 x #s(literal -70711/100000 binary64)) |
(* -70711/100000 x) |
(*.f64 x #s(literal -70711/100000 binary64)) |
(* -70711/100000 x) |
(*.f64 x #s(literal -70711/100000 binary64)) |
(* -70711/100000 x) |
(*.f64 x #s(literal -70711/100000 binary64)) |
(* -70711/100000 x) |
(*.f64 x #s(literal -70711/100000 binary64)) |
(* -70711/100000 x) |
(*.f64 x #s(literal -70711/100000 binary64)) |
(* -70711/100000 x) |
(*.f64 x #s(literal -70711/100000 binary64)) |
(* -70711/100000 x) |
(*.f64 x #s(literal -70711/100000 binary64)) |
16316775383/10000000000 |
#s(literal 16316775383/10000000000 binary64) |
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x)) |
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))) |
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) #s(literal 134362287316698645903/100000000000000000000 binary64)) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
(* -70711/100000 x) |
(*.f64 x #s(literal -70711/100000 binary64)) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000)) |
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x)) |
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x)) x)) |
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))))) |
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 335267464412236892/281173802003125 binary64) x) #s(literal -3648757816023/62748003125 binary64)) x)) x)) |
(* -70711/100000 x) |
(*.f64 x #s(literal -70711/100000 binary64)) |
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x)) |
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x)) x)) |
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2)))))) |
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 335267464412236892/281173802003125 binary64) x) #s(literal -3648757816023/62748003125 binary64)) x)) x)) |
(* -70711/100000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -70711/100000 binary64))) |
(* -70711/100000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -70711/100000 binary64))) |
(* -70711/100000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -70711/100000 binary64))) |
(* -70711/100000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -70711/100000 binary64))) |
(* -70711/100000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -70711/100000 binary64))) |
(* -70711/100000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -70711/100000 binary64))) |
(* -70711/100000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -70711/100000 binary64))) |
(* -70711/100000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -70711/100000 binary64))) |
(* -70711/100000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -70711/100000 binary64))) |
(* -70711/100000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -70711/100000 binary64))) |
(* -70711/100000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -70711/100000 binary64))) |
(* -70711/100000 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -70711/100000 binary64))) |
99229/100000 |
#s(literal 99229/100000 binary64) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(+ 99229/100000 (* 4481/100000 x)) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* 4481/100000 x) |
(*.f64 x #s(literal 4481/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) |
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) |
Compiled 27 420 to 1 948 computations (92.9% saved)
21 alts after pruning (11 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 842 | 6 | 848 |
| Fresh | 5 | 5 | 10 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 6 | 6 |
| Total | 848 | 21 | 869 |
| Status | Accuracy | Program |
|---|---|---|
| 74.3% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 70711/100000 binary64))) (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) | |
| 74.4% | (fma.f64 (/.f64 #s(literal 70711/100000 binary64) x) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) | |
| ✓ | 53.4% | (fma.f64 (*.f64 x x) #s(literal 134362287316698645903/100000000000000000000 binary64) (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))) |
| 54.9% | (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) #s(literal 134362287316698645903/100000000000000000000 binary64)) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) | |
| ✓ | 54.7% | (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -14058152910286046641008787/10000000000000000000000000 binary64) #s(literal 141673834365820945903/100000000000000000000 binary64)) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
| 53.3% | (fma.f64 x (fma.f64 x #s(literal 141673834365820945903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) | |
| ✓ | 53.5% | (fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
| 49.3% | (fma.f64 x #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x)) | |
| ✓ | 60.1% | (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
| 49.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -70711/100000 binary64)))) | |
| 52.9% | (/.f64 #s(literal 70711/100000 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1060196761744488379977/2835237365779254046081 binary64) #s(literal 4730460973492672/12286892763167777 binary64)) #s(literal 30191289437/53246947009 binary64)) #s(literal 100000/230753 binary64))) | |
| 73.6% | (/.f64 #s(literal 70711/100000 binary64) (pow.f64 (pow.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| ✓ | 49.4% | (/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal -1 binary64) x)) |
| 54.9% | (+.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) #s(literal 134362287316698645903/100000000000000000000 binary64)) #s(literal -1427746267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) (*.f64 x #s(literal -70711/100000 binary64))) | |
| 60.1% | (+.f64 (*.f64 (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)) (*.f64 x #s(literal -70711/100000 binary64))) | |
| ✓ | 99.9% | (+.f64 (*.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) (*.f64 x #s(literal -70711/100000 binary64))) |
| 72.6% | (+.f64 #s(literal 16316775383/10000000000 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 70711/100000 binary64)) x)) | |
| ✓ | 99.9% | (*.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #s(literal 70711/100000 binary64)) |
| ✓ | 49.5% | (*.f64 x #s(literal -70711/100000 binary64)) |
| ✓ | 53.3% | (*.f64 #s(literal 70711/100000 binary64) (fma.f64 x (fma.f64 x #s(literal 2003561459544073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))) |
| ✓ | 52.5% | #s(literal 16316775383/10000000000 binary64) |
Compiled 903 to 335 computations (62.9% saved)
| Inputs |
|---|
#s(literal 16316775383/10000000000 binary64) |
(*.f64 x #s(literal -70711/100000 binary64)) |
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
(fma.f64 x (fma.f64 x #s(literal 141673834365820945903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
(*.f64 #s(literal 70711/100000 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 #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x)) |
(fma.f64 (*.f64 x x) #s(literal 134362287316698645903/100000000000000000000 binary64) (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -14058152910286046641008787/10000000000000000000000000 binary64) #s(literal 141673834365820945903/100000000000000000000 binary64)) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) #s(literal 134362287316698645903/100000000000000000000 binary64)) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
(+.f64 (*.f64 (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)) (*.f64 x #s(literal -70711/100000 binary64))) |
(+.f64 (*.f64 (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 70711/100000 binary64))) |
(/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal -1 binary64) x)) |
(+.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) #s(literal 134362287316698645903/100000000000000000000 binary64)) #s(literal -1427746267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) (*.f64 x #s(literal -70711/100000 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -70711/100000 binary64)))) |
(+.f64 #s(literal 16316775383/10000000000 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 70711/100000 binary64)) x)) |
(/.f64 #s(literal 70711/100000 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1060196761744488379977/2835237365779254046081 binary64) #s(literal 4730460973492672/12286892763167777 binary64)) #s(literal 30191289437/53246947009 binary64)) #s(literal 100000/230753 binary64))) |
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.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))) x)) |
(*.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #s(literal 70711/100000 binary64)) |
(fma.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) #s(literal 70711/100000 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 70711/100000 binary64))) |
(fma.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #s(literal 70711/100000 binary64) (*.f64 #s(literal -70711/100000 binary64) x)) |
(+.f64 (*.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) (*.f64 x #s(literal -70711/100000 binary64))) |
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)) |
(+.f64 (*.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 70711/100000 binary64))) |
(/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x))) |
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x)))) |
(fma.f64 (/.f64 #s(literal 70711/100000 binary64) x) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 70711/100000 binary64)) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 70711/100000 binary64))) (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #s(literal 70711/100000 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal 70711/100000 binary64)) (fma.f64 x x #s(literal 0 binary64)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) x) (/.f64 #s(literal 70711/100000 binary64) x) (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) (*.f64 x x)) #s(literal 70711/100000 binary64)) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal -1 binary64)))) (*.f64 x x)) #s(literal 70711/100000 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 (*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal -1 binary64)))) (*.f64 x x)) #s(literal 70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal -1 binary64)))) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))) #s(literal 70711/100000 binary64))) |
(/.f64 #s(literal 70711/100000 binary64) (pow.f64 (pow.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #s(literal 70711/100000 binary64)) |
3 calls:
| 11.0ms | (*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)) |
| 10.0ms | x |
| 10.0ms | (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | (*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)) |
| 99.9% | 1 | (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) |
Compiled 40 to 31 computations (22.5% saved)
| Inputs |
|---|
#s(literal 16316775383/10000000000 binary64) |
(*.f64 x #s(literal -70711/100000 binary64)) |
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
(fma.f64 x (fma.f64 x #s(literal 141673834365820945903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
(*.f64 #s(literal 70711/100000 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 #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x)) |
(fma.f64 (*.f64 x x) #s(literal 134362287316698645903/100000000000000000000 binary64) (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -14058152910286046641008787/10000000000000000000000000 binary64) #s(literal 141673834365820945903/100000000000000000000 binary64)) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) #s(literal 134362287316698645903/100000000000000000000 binary64)) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
(+.f64 (*.f64 (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)) (*.f64 x #s(literal -70711/100000 binary64))) |
(+.f64 (*.f64 (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 70711/100000 binary64))) |
(/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal -1 binary64) x)) |
(+.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) #s(literal 134362287316698645903/100000000000000000000 binary64)) #s(literal -1427746267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) (*.f64 x #s(literal -70711/100000 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -70711/100000 binary64)))) |
(+.f64 #s(literal 16316775383/10000000000 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 70711/100000 binary64)) x)) |
(/.f64 #s(literal 70711/100000 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1060196761744488379977/2835237365779254046081 binary64) #s(literal 4730460973492672/12286892763167777 binary64)) #s(literal 30191289437/53246947009 binary64)) #s(literal 100000/230753 binary64))) |
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.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))) x)) |
| Outputs |
|---|
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.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))) x)) |
3 calls:
| 7.0ms | (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) |
| 6.0ms | x |
| 5.0ms | (*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 1 | x |
| 98.9% | 1 | (*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)) |
| 98.9% | 1 | (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) |
Compiled 40 to 31 computations (22.5% saved)
| Inputs |
|---|
#s(literal 16316775383/10000000000 binary64) |
(*.f64 x #s(literal -70711/100000 binary64)) |
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
(fma.f64 x (fma.f64 x #s(literal 141673834365820945903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
(*.f64 #s(literal 70711/100000 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 #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x)) |
(fma.f64 (*.f64 x x) #s(literal 134362287316698645903/100000000000000000000 binary64) (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -14058152910286046641008787/10000000000000000000000000 binary64) #s(literal 141673834365820945903/100000000000000000000 binary64)) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) #s(literal 134362287316698645903/100000000000000000000 binary64)) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
(+.f64 (*.f64 (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)) (*.f64 x #s(literal -70711/100000 binary64))) |
(+.f64 (*.f64 (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) #s(literal 70711/100000 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 70711/100000 binary64))) |
(/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal -1 binary64) x)) |
(+.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) #s(literal 134362287316698645903/100000000000000000000 binary64)) #s(literal -1427746267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) (*.f64 x #s(literal -70711/100000 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -70711/100000 binary64)))) |
(+.f64 #s(literal 16316775383/10000000000 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 70711/100000 binary64)) x)) |
(/.f64 #s(literal 70711/100000 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1060196761744488379977/2835237365779254046081 binary64) #s(literal 4730460973492672/12286892763167777 binary64)) #s(literal 30191289437/53246947009 binary64)) #s(literal 100000/230753 binary64))) |
| Outputs |
|---|
(*.f64 x #s(literal -70711/100000 binary64)) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) #s(literal 134362287316698645903/100000000000000000000 binary64)) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x)) |
3 calls:
| 5.0ms | x |
| 5.0ms | (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) |
| 5.0ms | (*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 3 | x |
| 99.5% | 3 | (*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)) |
| 99.5% | 3 | (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) |
Compiled 40 to 31 computations (22.5% saved)
| Inputs |
|---|
#s(literal 16316775383/10000000000 binary64) |
(*.f64 x #s(literal -70711/100000 binary64)) |
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
(fma.f64 x (fma.f64 x #s(literal 141673834365820945903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
(*.f64 #s(literal 70711/100000 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 #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x)) |
(fma.f64 (*.f64 x x) #s(literal 134362287316698645903/100000000000000000000 binary64) (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -14058152910286046641008787/10000000000000000000000000 binary64) #s(literal 141673834365820945903/100000000000000000000 binary64)) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
| Outputs |
|---|
(*.f64 x #s(literal -70711/100000 binary64)) |
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x)) |
3 calls:
| 3.0ms | x |
| 3.0ms | (*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)) |
| 3.0ms | (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 3 | x |
| 99.4% | 3 | (*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)) |
| 99.4% | 3 | (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) |
Compiled 40 to 31 computations (22.5% saved)
| Inputs |
|---|
#s(literal 16316775383/10000000000 binary64) |
(*.f64 x #s(literal -70711/100000 binary64)) |
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
(fma.f64 x (fma.f64 x #s(literal 141673834365820945903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
(*.f64 #s(literal 70711/100000 binary64) (fma.f64 x (fma.f64 x #s(literal 2003561459544073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))) |
| Outputs |
|---|
(*.f64 x #s(literal -70711/100000 binary64)) |
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) |
(*.f64 x #s(literal -70711/100000 binary64)) |
3 calls:
| 3.0ms | x |
| 3.0ms | (*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)) |
| 2.0ms | (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 3 | x |
| 99.4% | 3 | (*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)) |
| 99.4% | 3 | (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) |
Compiled 40 to 31 computations (22.5% saved)
| Inputs |
|---|
#s(literal 16316775383/10000000000 binary64) |
(*.f64 x #s(literal -70711/100000 binary64)) |
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
| Outputs |
|---|
(*.f64 x #s(literal -70711/100000 binary64)) |
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) |
(*.f64 x #s(literal -70711/100000 binary64)) |
3 calls:
| 2.0ms | x |
| 2.0ms | (*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)) |
| 2.0ms | (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 3 | x |
| 99.2% | 3 | (*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)) |
| 99.2% | 3 | (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) |
Compiled 40 to 31 computations (22.5% saved)
| Inputs |
|---|
#s(literal 16316775383/10000000000 binary64) |
(*.f64 x #s(literal -70711/100000 binary64)) |
| Outputs |
|---|
(*.f64 x #s(literal -70711/100000 binary64)) |
#s(literal 16316775383/10000000000 binary64) |
(*.f64 x #s(literal -70711/100000 binary64)) |
3 calls:
| 2.0ms | x |
| 2.0ms | (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) |
| 2.0ms | (*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 3 | x |
| 98.6% | 3 | (*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)) |
| 98.6% | 3 | (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) |
Compiled 40 to 31 computations (22.5% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal 16316775383/10000000000 binary64) |
| Outputs |
|---|
#s(literal 16316775383/10000000000 binary64) |
3 calls:
| 1.0ms | (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) |
| 1.0ms | (*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.5% | 1 | x |
| 52.5% | 1 | (*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)) |
| 52.5% | 1 | (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) |
Compiled 40 to 31 computations (22.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.643509565565344 | 12953965.32908083 |
| 0.0ms | -1890825351.7779171 | 2.3051734581001573 |
Compiled 23 to 20 computations (13% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.643509565565344 | 12953965.32908083 |
| 0.0ms | -1890825351.7779171 | 2.3051734581001573 |
Compiled 23 to 20 computations (13% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.643509565565344 | 12953965.32908083 |
| 3.0ms | -1890825351.7779171 | 2.3051734581001573 |
Compiled 23 to 20 computations (13% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.643509565565344 | 12953965.32908083 |
| 0.0ms | -1890825351.7779171 | 2.3051734581001573 |
Compiled 23 to 20 computations (13% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.643509565565344 | 12953965.32908083 |
| 0.0ms | -1890825351.7779171 | 2.3051734581001573 |
Compiled 23 to 20 computations (13% saved)
| 1× | egg-herbie |
| 14× | *-commutative_binary64 |
| 14× | +-commutative_binary64 |
| 8× | sub-neg_binary64 |
| 6× | if-if-or-not_binary32 |
| 2× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 290 |
| 1 | 75 | 290 |
| 2 | 81 | 290 |
| 3 | 83 | 290 |
| 4 | 84 | 290 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #s(literal 70711/100000 binary64)) |
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.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))) x)) |
(if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal -1000000000 binary64)) (*.f64 x #s(literal -70711/100000 binary64)) (if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal 5 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) #s(literal 134362287316698645903/100000000000000000000 binary64)) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) (fma.f64 x #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x)))) |
(if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal -1000000000 binary64)) (*.f64 x #s(literal -70711/100000 binary64)) (if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal 5 binary64)) (fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) (fma.f64 x #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x)))) |
(if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal -1000000000 binary64)) (*.f64 x #s(literal -70711/100000 binary64)) (if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal 5 binary64)) (fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) (*.f64 x #s(literal -70711/100000 binary64)))) |
(if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal -1000000000 binary64)) (*.f64 x #s(literal -70711/100000 binary64)) (if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal 5 binary64)) (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) (*.f64 x #s(literal -70711/100000 binary64)))) |
(if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal -1000000000 binary64)) (*.f64 x #s(literal -70711/100000 binary64)) (if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal 5 binary64)) #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal -70711/100000 binary64)))) |
#s(literal 16316775383/10000000000 binary64) |
| Outputs |
|---|
(*.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #s(literal 70711/100000 binary64)) |
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.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))) x)) |
(if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal -1000000000 binary64)) (*.f64 x #s(literal -70711/100000 binary64)) (if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal 5 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) #s(literal 134362287316698645903/100000000000000000000 binary64)) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) (fma.f64 x #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x)))) |
(if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal -1000000000 binary64)) (*.f64 x #s(literal -70711/100000 binary64)) (if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal 5 binary64)) (fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) (fma.f64 x #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x)))) |
(if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal -1000000000 binary64)) (*.f64 x #s(literal -70711/100000 binary64)) (if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal 5 binary64)) (fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) (*.f64 x #s(literal -70711/100000 binary64)))) |
(if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal -1000000000 binary64)) (*.f64 x #s(literal -70711/100000 binary64)) (if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal 5 binary64)) (fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)) (*.f64 x #s(literal -70711/100000 binary64)))) |
(if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal -1000000000 binary64)) (*.f64 x #s(literal -70711/100000 binary64)) (if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal 5 binary64)) #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal -70711/100000 binary64)))) |
#s(literal 16316775383/10000000000 binary64) |
| 9 072× | accelerator-lowering-fma.f32 |
| 9 072× | accelerator-lowering-fma.f64 |
| 7 938× | accelerator-lowering-fma.f32 |
| 7 938× | accelerator-lowering-fma.f64 |
| 5 804× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 59 |
| 1 | 93 | 59 |
| 2 | 815 | 59 |
| 0 | 8568 | 49 |
| 0 | 136 | 500 |
| 1 | 369 | 492 |
| 2 | 855 | 484 |
| 3 | 2063 | 468 |
| 4 | 5223 | 468 |
| 0 | 8086 | 417 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 387 to 124 computations (68% saved)
Compiled 634 to 140 computations (77.9% saved)
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