
Time bar (total: 9.4s)
| 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 |
| 0% | 0% | 100% | 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 15 to 9 computations (40% saved)
| 279.0ms | 2 444× | 1 | valid |
| 260.0ms | 1 569× | 2 | valid |
| 235.0ms | 4 243× | 0 | valid |
ival-div: 205.0ms (38.7% of total)ival-sub: 118.0ms (22.3% of total)ival-add: 98.0ms (18.5% of total)adjust: 93.0ms (17.6% of total)exact: 6.0ms (1.1% of total)ival-true: 5.0ms (0.9% of total)ival-assert: 3.0ms (0.6% of total)| 2× | egg-herbie |
| 640× | accelerator-lowering-fma.f32 |
| 640× | accelerator-lowering-fma.f64 |
| 256× | *-lowering-*.f32 |
| 256× | *-lowering-*.f64 |
| 244× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 48 |
| 1 | 32 | 44 |
| 2 | 77 | 40 |
| 3 | 200 | 39 |
| 4 | 493 | 39 |
| 5 | 1064 | 39 |
| 6 | 1471 | 39 |
| 7 | 1680 | 39 |
| 8 | 1767 | 39 |
| 9 | 1777 | 39 |
| 10 | 1777 | 39 |
| 0 | 7 | 13 |
| 1 | 15 | 13 |
| 2 | 23 | 13 |
| 3 | 39 | 13 |
| 4 | 72 | 13 |
| 5 | 110 | 13 |
| 6 | 196 | 13 |
| 7 | 366 | 13 |
| 8 | 869 | 13 |
| 9 | 1129 | 13 |
| 10 | 1212 | 13 |
| 11 | 1222 | 13 |
| 0 | 1222 | 13 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) |
| Outputs |
|---|
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) |
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
| Inputs |
|---|
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) |
(- (/ (neg x) (+ (neg x) 1)) (/ (+ (neg x) 1) (- (neg x) 1))) |
(neg (- (/ (neg x) (+ (neg x) 1)) (/ (+ (neg x) 1) (- (neg x) 1)))) |
| Outputs |
|---|
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) |
(+ (/ (+ x 1) (- 1 x)) (/ x (+ x 1))) |
(- (/ (neg x) (+ (neg x) 1)) (/ (+ (neg x) 1) (- (neg x) 1))) |
(+ (/ x (+ x -1)) (/ (+ x -1) (- -1 x))) |
(neg (- (/ (neg x) (+ (neg x) 1)) (/ (+ (neg x) 1) (- (neg x) 1)))) |
(+ (/ (+ x -1) (+ x 1)) (/ x (- 1 x))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 128 | 1 | (-1495.2331353449513) | 0 | - | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (-.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 x (+.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) | cancellation | 129 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 128 | 0 |
| - | 1 | 127 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 128 | 0 | 0 |
| - | 1 | 0 | 127 |
| number | freq |
|---|---|
| 0 | 127 |
| 1 | 129 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 28.0ms | 148× | 1 | valid |
| 17.0ms | 104× | 2 | valid |
| 17.0ms | 260× | 0 | valid |
Compiled 98 to 32 computations (67.3% saved)
ival-div: 14.0ms (42.2% of total)ival-sub: 8.0ms (24.1% of total)adjust: 6.0ms (18.1% of total)ival-add: 4.0ms (12.1% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.6% | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
Compiled 14 to 7 computations (50% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 x (+.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| 640× | accelerator-lowering-fma.f32 |
| 640× | accelerator-lowering-fma.f64 |
| 256× | *-lowering-*.f32 |
| 256× | *-lowering-*.f64 |
| 168× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 33 |
| 1 | 15 | 33 |
| 2 | 23 | 33 |
| 3 | 39 | 33 |
| 4 | 72 | 33 |
| 5 | 110 | 33 |
| 6 | 196 | 33 |
| 7 | 366 | 33 |
| 8 | 869 | 33 |
| 9 | 1129 | 33 |
| 10 | 1212 | 33 |
| 11 | 1222 | 33 |
| 0 | 1222 | 33 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) |
(/ x (+ x 1)) |
x |
(+ x 1) |
1 |
(/ (+ x 1) (- x 1)) |
(- x 1) |
| Outputs |
|---|
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) |
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/ x (+ x 1)) |
(/.f64 x (+.f64 x #s(literal 1 binary64))) |
x |
(+ x 1) |
(+.f64 x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(/ (+ x 1) (- x 1)) |
(/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 x (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 53.6% | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| 10.0ms | 52× | 2 | valid |
| 8.0ms | 74× | 1 | valid |
| 7.0ms | 130× | 0 | valid |
Compiled 35 to 9 computations (74.3% saved)
ival-div: 7.0ms (42.4% of total)ival-sub: 4.0ms (24.2% of total)adjust: 3.0ms (18.2% of total)ival-add: 2.0ms (12.1% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))> |
#<alt (/ x (+ x 1))> |
#<alt (+ x 1)> |
#<alt (/ (+ x 1) (- x 1))> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* 3 x))> |
#<alt (+ 1 (* x (+ 3 x)))> |
#<alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))> |
#<alt (/ -3 x)> |
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))> |
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)> |
#<alt (/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)> |
#<alt (/ -3 x)> |
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))> |
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))> |
#<alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))> |
#<alt x> |
#<alt (* x (+ 1 (* -1 x)))> |
#<alt (* x (+ 1 (* x (- x 1))))> |
#<alt (* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))> |
#<alt 1> |
#<alt (- 1 (/ 1 x))> |
#<alt (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))> |
#<alt (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))> |
#<alt 1> |
#<alt (- 1 (/ 1 x))> |
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt -1> |
#<alt (- (* -2 x) 1)> |
#<alt (- (* x (- (* -2 x) 2)) 1)> |
#<alt (- (* x (- (* x (- (* -2 x) 2)) 2)) 1)> |
#<alt 1> |
#<alt (+ 1 (* 2 (/ 1 x)))> |
#<alt (+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))> |
#<alt (+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))> |
#<alt 1> |
#<alt (+ 1 (* 2 (/ 1 x)))> |
#<alt (+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))> |
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) |
| 0.0ms | x | @ | -inf | (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) |
| 0.0ms | x | @ | 0 | (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) |
| 0.0ms | x | @ | inf | (+ x 1) |
| 0.0ms | x | @ | -inf | (/ (+ x 1) (- x 1)) |
| 1× | batch-egg-rewrite |
| 5 288× | /-lowering-/.f32 |
| 5 288× | /-lowering-/.f64 |
| 4 896× | *-lowering-*.f32 |
| 4 896× | *-lowering-*.f64 |
| 4 620× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 28 |
| 1 | 62 | 28 |
| 2 | 699 | 28 |
| 0 | 8523 | 28 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) |
(/ x (+ x 1)) |
(+ x 1) |
(/ (+ x 1) (- x 1)) |
| Outputs |
|---|
(+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64))))) |
(+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64)))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))) |
(-.f64 (/.f64 (*.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64)))) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64))))) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64)))))) |
(-.f64 (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 x #s(literal -1 binary64)))) (/.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 x #s(literal -1 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64))))) (/.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64)))))) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 x #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64)))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64))))) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64)))))) (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64))))))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64))))) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64))))) |
(fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) |
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(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))) |
| 1× | egg-herbie |
| 9 608× | accelerator-lowering-fma.f32 |
| 9 608× | accelerator-lowering-fma.f64 |
| 2 654× | *-lowering-*.f32 |
| 2 654× | *-lowering-*.f64 |
| 1 928× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 332 |
| 1 | 262 | 322 |
| 2 | 585 | 310 |
| 3 | 1504 | 292 |
| 4 | 3719 | 290 |
| 5 | 6658 | 290 |
| 0 | 8041 | 279 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
x |
(* x (+ 1 (* -1 x))) |
(* x (+ 1 (* x (- x 1)))) |
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))) |
1 |
(- 1 (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) |
1 |
(- 1 (/ 1 x)) |
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
-1 |
(- (* -2 x) 1) |
(- (* x (- (* -2 x) 2)) 1) |
(- (* x (- (* x (- (* -2 x) 2)) 2)) 1) |
1 |
(+ 1 (* 2 (/ 1 x))) |
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) |
1 |
(+ 1 (* 2 (/ 1 x))) |
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 x))) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64)) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64)) |
x |
(* x (+ 1 (* -1 x))) |
(fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* x (+ 1 (* x (- x 1)))) |
(fma.f64 x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))) |
(*.f64 x (fma.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 x)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) |
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 x)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) |
1 |
#s(literal 1 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) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
-1 |
#s(literal -1 binary64) |
(- (* -2 x) 1) |
(fma.f64 x #s(literal -2 binary64) #s(literal -1 binary64)) |
(- (* x (- (* -2 x) 2)) 1) |
(fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (* x (- (* x (- (* -2 x) 2)) 2)) 1) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) |
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)) |
Compiled 12 202 to 1 234 computations (89.9% saved)
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 426 | 11 | 437 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 426 | 12 | 438 |
| Status | Accuracy | Program |
|---|---|---|
| 50.7% | (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64)) | |
| 52.9% | (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64))))) | |
| ▶ | 50.0% | (fma.f64 x (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
| ▶ | 50.4% | (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
| 50.0% | (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) | |
| 52.0% | (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))) | |
| ▶ | 51.3% | (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) |
| 50.3% | (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) | |
| 51.1% | (/.f64 #s(literal -3 binary64) x) | |
| ✓ | 53.6% | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| ▶ | 53.5% | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))) |
| ▶ | 50.6% | #s(literal 1 binary64) |
Compiled 258 to 159 computations (38.4% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 3 binary64) x) |
| ✓ | cost-diff | 0 | (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 x (+.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 4 520× | accelerator-lowering-fma.f32 |
| 4 520× | accelerator-lowering-fma.f64 |
| 1 440× | *-lowering-*.f32 |
| 1 440× | *-lowering-*.f64 |
| 1 194× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 125 |
| 1 | 68 | 121 |
| 2 | 153 | 119 |
| 3 | 314 | 119 |
| 4 | 497 | 119 |
| 5 | 729 | 119 |
| 6 | 932 | 119 |
| 7 | 1329 | 119 |
| 8 | 2408 | 119 |
| 9 | 2903 | 119 |
| 10 | 3695 | 119 |
| 11 | 4391 | 119 |
| 12 | 4824 | 119 |
| 13 | 4871 | 119 |
| 14 | 4887 | 119 |
| 15 | 4944 | 119 |
| 16 | 5343 | 119 |
| 17 | 5461 | 119 |
| 18 | 5461 | 119 |
| 19 | 5461 | 119 |
| 20 | 5461 | 119 |
| 0 | 5461 | 113 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- (/ x (+ x 1)) (* (/ 1 (+ x -1)) (+ x 1))) |
(/ x (+ x 1)) |
x |
(+ x 1) |
1 |
(* (/ 1 (+ x -1)) (+ x 1)) |
(/ 1 (+ x -1)) |
(+ x -1) |
-1 |
1 |
(+ (* x (+ 3 x)) 1) |
x |
(+ 3 x) |
3 |
1 |
(+ (* x (+ (* x (+ (* 3 x) 1)) 3)) 1) |
x |
(+ (* x (+ (* 3 x) 1)) 3) |
(+ (* 3 x) 1) |
3 |
1 |
(/ (+ -3 (/ (+ -1 (/ -3 x)) x)) x) |
(+ -3 (/ (+ -1 (/ -3 x)) x)) |
-3 |
(/ (+ -1 (/ -3 x)) x) |
(+ -1 (/ -3 x)) |
-1 |
(/ -3 x) |
x |
| Outputs |
|---|
(- (/ x (+ x 1)) (* (/ 1 (+ x -1)) (+ x 1))) |
(+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) |
(/ x (+ x 1)) |
(/.f64 x (+.f64 x #s(literal 1 binary64))) |
x |
(+ x 1) |
(+.f64 x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(* (/ 1 (+ x -1)) (+ x 1)) |
(/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) |
(/ 1 (+ x -1)) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) |
(+ x -1) |
(+.f64 x #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
1 |
#s(literal 1 binary64) |
(+ (* x (+ 3 x)) 1) |
(fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
x |
(+ 3 x) |
(+.f64 x #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
1 |
#s(literal 1 binary64) |
(+ (* x (+ (* x (+ (* 3 x) 1)) 3)) 1) |
(fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)) #s(literal 0 binary64)) |
x |
(+ (* x (+ (* 3 x) 1)) 3) |
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) |
(+ (* 3 x) 1) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
3 |
#s(literal 3 binary64) |
1 |
#s(literal 1 binary64) |
(/ (+ -3 (/ (+ -1 (/ -3 x)) x)) x) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) |
(+ -3 (/ (+ -1 (/ -3 x)) x)) |
(+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) |
-3 |
#s(literal -3 binary64) |
(/ (+ -1 (/ -3 x)) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) |
(+ -1 (/ -3 x)) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) |
-1 |
#s(literal -1 binary64) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
x |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) |
| ✓ | accuracy | 99.9% | (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) |
| ✓ | accuracy | 99.9% | (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 x (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 3 binary64) x) |
| ✓ | accuracy | 100.0% | (/.f64 x (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 53.6% | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))) |
| 30.0ms | 130× | 0 | valid |
| 27.0ms | 50× | 2 | valid |
| 24.0ms | 72× | 1 | valid |
| 2.0ms | 4× | 3 | valid |
Compiled 120 to 27 computations (77.5% saved)
ival-add: 26.0ms (40.4% of total)ival-mult: 13.0ms (20.2% of total)ival-div: 12.0ms (18.6% of total)adjust: 10.0ms (15.5% of total)ival-sub: 2.0ms (3.1% of total)exact: 1.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (/ 1 (+ x -1)) (+ x 1))> |
#<alt (- (/ x (+ x 1)) (* (/ 1 (+ x -1)) (+ x 1)))> |
#<alt (/ x (+ x 1))> |
#<alt (+ x 1)> |
#<alt (+ (* x (+ 3 x)) 1)> |
#<alt (+ 3 x)> |
#<alt (+ (* x (+ (* x (+ (* 3 x) 1)) 3)) 1)> |
#<alt (+ (* x (+ (* 3 x) 1)) 3)> |
#<alt (+ (* 3 x) 1)> |
#<alt (/ (+ -3 (/ (+ -1 (/ -3 x)) x)) x)> |
#<alt (+ -3 (/ (+ -1 (/ -3 x)) x))> |
#<alt (/ (+ -1 (/ -3 x)) x)> |
#<alt (+ -1 (/ -3 x))> |
#<alt (/ 1 (+ x -1))> |
| Outputs |
|---|
#<alt -1> |
#<alt (- (* -2 x) 1)> |
#<alt (- (* x (- (* -2 x) 2)) 1)> |
#<alt (- (* x (- (* x (- (* -2 x) 2)) 2)) 1)> |
#<alt 1> |
#<alt (+ 1 (* 2 (/ 1 x)))> |
#<alt (+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))> |
#<alt (+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))> |
#<alt 1> |
#<alt (+ 1 (* 2 (/ 1 x)))> |
#<alt (+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))> |
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))> |
#<alt 1> |
#<alt (+ 1 (* 3 x))> |
#<alt (+ 1 (* x (+ 3 x)))> |
#<alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))> |
#<alt (/ -3 x)> |
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))> |
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)> |
#<alt (/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)> |
#<alt (/ -3 x)> |
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))> |
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))> |
#<alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))> |
#<alt x> |
#<alt (* x (+ 1 (* -1 x)))> |
#<alt (* x (+ 1 (* x (- x 1))))> |
#<alt (* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))> |
#<alt 1> |
#<alt (- 1 (/ 1 x))> |
#<alt (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))> |
#<alt (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))> |
#<alt 1> |
#<alt (- 1 (/ 1 x))> |
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt 1> |
#<alt (+ 1 (* 3 x))> |
#<alt (+ 1 (* x (+ 3 x)))> |
#<alt (+ 1 (* x (+ 3 x)))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt 3> |
#<alt (+ 3 x)> |
#<alt (+ 3 x)> |
#<alt (+ 3 x)> |
#<alt x> |
#<alt (* x (+ 1 (* 3 (/ 1 x))))> |
#<alt (* x (+ 1 (* 3 (/ 1 x))))> |
#<alt (* x (+ 1 (* 3 (/ 1 x))))> |
#<alt x> |
#<alt (* x (+ 1 (* 3 (/ 1 x))))> |
#<alt (* x (+ 1 (* 3 (/ 1 x))))> |
#<alt (* x (+ 1 (* 3 (/ 1 x))))> |
#<alt 1> |
#<alt (+ 1 (* 3 x))> |
#<alt (+ 1 (* x (+ 3 x)))> |
#<alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))> |
#<alt (* 3 (pow x 3))> |
#<alt (* (pow x 3) (+ 3 (/ 1 x)))> |
#<alt (* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 3 (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ 3 (pow x 2))))))> |
#<alt (* 3 (pow x 3))> |
#<alt (* (pow x 3) (+ 3 (/ 1 x)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))) x)) 3)))> |
#<alt 3> |
#<alt (+ 3 x)> |
#<alt (+ 3 (* x (+ 1 (* 3 x))))> |
#<alt (+ 3 (* x (+ 1 (* 3 x))))> |
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))> |
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))> |
#<alt 1> |
#<alt (+ 1 (* 3 x))> |
#<alt (+ 1 (* 3 x))> |
#<alt (+ 1 (* 3 x))> |
#<alt (* 3 x)> |
#<alt (* x (+ 3 (/ 1 x)))> |
#<alt (* x (+ 3 (/ 1 x)))> |
#<alt (* x (+ 3 (/ 1 x)))> |
#<alt (* 3 x)> |
#<alt (* x (+ 3 (/ 1 x)))> |
#<alt (* x (+ 3 (/ 1 x)))> |
#<alt (* x (+ 3 (/ 1 x)))> |
#<alt (/ -3 (pow x 3))> |
#<alt (/ (- (* -1 x) 3) (pow x 3))> |
#<alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))> |
#<alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))> |
#<alt (/ -3 x)> |
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))> |
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)> |
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)> |
#<alt (/ -3 x)> |
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))> |
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))> |
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))> |
#<alt (/ -3 (pow x 2))> |
#<alt (/ (- (* -1 x) 3) (pow x 2))> |
#<alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 2))> |
#<alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 2))> |
#<alt -3> |
#<alt (* -1 (+ 3 (/ 1 x)))> |
#<alt (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)> |
#<alt (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)> |
#<alt -3> |
#<alt (* -1 (+ 3 (/ 1 x)))> |
#<alt (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)> |
#<alt (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)> |
#<alt (/ -3 (pow x 2))> |
#<alt (/ (- (* -1 x) 3) (pow x 2))> |
#<alt (/ (- (* -1 x) 3) (pow x 2))> |
#<alt (/ (- (* -1 x) 3) (pow x 2))> |
#<alt (/ -1 x)> |
#<alt (* -1 (/ (+ 1 (* 3 (/ 1 x))) x))> |
#<alt (* -1 (/ (+ 1 (* 3 (/ 1 x))) x))> |
#<alt (* -1 (/ (+ 1 (* 3 (/ 1 x))) x))> |
#<alt (/ -1 x)> |
#<alt (* -1 (/ (+ 1 (* 3 (/ 1 x))) x))> |
#<alt (* -1 (/ (+ 1 (* 3 (/ 1 x))) x))> |
#<alt (* -1 (/ (+ 1 (* 3 (/ 1 x))) x))> |
#<alt (/ -3 x)> |
#<alt (/ (- (* -1 x) 3) x)> |
#<alt (/ (- (* -1 x) 3) x)> |
#<alt (/ (- (* -1 x) 3) x)> |
#<alt -1> |
#<alt (* -1 (+ 1 (* 3 (/ 1 x))))> |
#<alt (* -1 (+ 1 (* 3 (/ 1 x))))> |
#<alt (* -1 (+ 1 (* 3 (/ 1 x))))> |
#<alt -1> |
#<alt (* -1 (+ 1 (* 3 (/ 1 x))))> |
#<alt (* -1 (+ 1 (* 3 (/ 1 x))))> |
#<alt (* -1 (+ 1 (* 3 (/ 1 x))))> |
#<alt -1> |
#<alt (- (* -1 x) 1)> |
#<alt (- (* x (- (* -1 x) 1)) 1)> |
#<alt (- (* x (- (* x (- (* -1 x) 1)) 1)) 1)> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (/ 1 x)) x)> |
#<alt (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)> |
#<alt (/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (/ 1 x)) x)> |
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))> |
42 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (+ (* x (+ (* x (+ (* 3 x) 1)) 3)) 1) |
| 0.0ms | x | @ | -inf | (/ (+ -3 (/ (+ -1 (/ -3 x)) x)) x) |
| 0.0ms | x | @ | inf | (/ (+ -3 (/ (+ -1 (/ -3 x)) x)) x) |
| 0.0ms | x | @ | 0 | (/ (+ -3 (/ (+ -1 (/ -3 x)) x)) x) |
| 0.0ms | x | @ | -inf | (+ (* x (+ 3 x)) 1) |
| 1× | batch-egg-rewrite |
| 4 906× | /-lowering-/.f32 |
| 4 906× | /-lowering-/.f64 |
| 4 288× | *-lowering-*.f32 |
| 4 288× | *-lowering-*.f64 |
| 3 592× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 106 |
| 1 | 202 | 102 |
| 2 | 1924 | 102 |
| 0 | 8264 | 95 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ 1 (+ x -1)) (+ x 1)) |
(- (/ x (+ x 1)) (* (/ 1 (+ x -1)) (+ x 1))) |
(/ x (+ x 1)) |
(+ x 1) |
(+ (* x (+ 3 x)) 1) |
(+ 3 x) |
(+ (* x (+ (* x (+ (* 3 x) 1)) 3)) 1) |
(+ (* x (+ (* 3 x) 1)) 3) |
(+ (* 3 x) 1) |
(/ (+ -3 (/ (+ -1 (/ -3 x)) x)) x) |
(+ -3 (/ (+ -1 (/ -3 x)) x)) |
(/ (+ -1 (/ -3 x)) x) |
(+ -1 (/ -3 x)) |
(/ 1 (+ x -1)) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 x #s(literal -1 binary64)))) |
(+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(-.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 x #s(literal -1 binary64)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 x #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 x #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(fma.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (/.f64 x (+.f64 x #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x) (/.f64 x (+.f64 x #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (/.f64 x (+.f64 x #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 x #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (/.f64 x (+.f64 x #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (fma.f64 x #s(literal -1 binary64) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 x #s(literal -1 binary64) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))) (fma.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 x #s(literal -1 binary64))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) x)) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) x))) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) x))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x) (-.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -27 binary64) (*.f64 x (*.f64 x x))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x)))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -27 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (/.f64 #s(literal -3 binary64) x) (-.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -27 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -27 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x) (-.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -27 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (/.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x)))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)))) |
(/.f64 (-.f64 (/.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 9 binary64) (*.f64 x x)))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -27 binary64) (*.f64 x (*.f64 x x)))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x) (-.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x))))) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x) (-.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -27 binary64) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -27 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -3 binary64) x) (-.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) |
(pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) |
| 1× | egg-herbie |
| 11 922× | accelerator-lowering-fma.f32 |
| 11 922× | accelerator-lowering-fma.f64 |
| 4 458× | *-lowering-*.f32 |
| 4 458× | *-lowering-*.f64 |
| 1 752× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 154 | 1141 |
| 1 | 461 | 1085 |
| 2 | 1183 | 1057 |
| 3 | 5042 | 1026 |
| 0 | 8477 | 966 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
(- (* -2 x) 1) |
(- (* x (- (* -2 x) 2)) 1) |
(- (* x (- (* x (- (* -2 x) 2)) 2)) 1) |
1 |
(+ 1 (* 2 (/ 1 x))) |
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) |
1 |
(+ 1 (* 2 (/ 1 x))) |
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
x |
(* x (+ 1 (* -1 x))) |
(* x (+ 1 (* x (- x 1)))) |
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))) |
1 |
(- 1 (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) |
1 |
(- 1 (/ 1 x)) |
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 x))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
3 |
(+ 3 x) |
(+ 3 x) |
(+ 3 x) |
x |
(* x (+ 1 (* 3 (/ 1 x)))) |
(* x (+ 1 (* 3 (/ 1 x)))) |
(* x (+ 1 (* 3 (/ 1 x)))) |
x |
(* x (+ 1 (* 3 (/ 1 x)))) |
(* x (+ 1 (* 3 (/ 1 x)))) |
(* x (+ 1 (* 3 (/ 1 x)))) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(* 3 (pow x 3)) |
(* (pow x 3) (+ 3 (/ 1 x))) |
(* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2))))) |
(* (pow x 3) (+ 3 (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ 3 (pow x 2)))))) |
(* 3 (pow x 3)) |
(* (pow x 3) (+ 3 (/ 1 x))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))) x)) 3))) |
3 |
(+ 3 x) |
(+ 3 (* x (+ 1 (* 3 x)))) |
(+ 3 (* x (+ 1 (* 3 x)))) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (/ 1 x))) |
(* (pow x 2) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2))))) |
(* (pow x 2) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2))))) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (/ 1 x))) |
(* (pow x 2) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2))))) |
(* (pow x 2) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2))))) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* 3 x)) |
(+ 1 (* 3 x)) |
(* 3 x) |
(* x (+ 3 (/ 1 x))) |
(* x (+ 3 (/ 1 x))) |
(* x (+ 3 (/ 1 x))) |
(* 3 x) |
(* x (+ 3 (/ 1 x))) |
(* x (+ 3 (/ 1 x))) |
(* x (+ 3 (/ 1 x))) |
(/ -3 (pow x 3)) |
(/ (- (* -1 x) 3) (pow x 3)) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3)) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3)) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/ -3 (pow x 2)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2)) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2)) |
-3 |
(* -1 (+ 3 (/ 1 x))) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
-3 |
(* -1 (+ 3 (/ 1 x))) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(/ -3 (pow x 2)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/ -1 x) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(/ -1 x) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(/ -3 x) |
(/ (- (* -1 x) 3) x) |
(/ (- (* -1 x) 3) x) |
(/ (- (* -1 x) 3) x) |
-1 |
(* -1 (+ 1 (* 3 (/ 1 x)))) |
(* -1 (+ 1 (* 3 (/ 1 x)))) |
(* -1 (+ 1 (* 3 (/ 1 x)))) |
-1 |
(* -1 (+ 1 (* 3 (/ 1 x)))) |
(* -1 (+ 1 (* 3 (/ 1 x)))) |
(* -1 (+ 1 (* 3 (/ 1 x)))) |
-1 |
(- (* -1 x) 1) |
(- (* x (- (* -1 x) 1)) 1) |
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1) |
(/ 1 x) |
(/ (+ 1 (/ 1 x)) x) |
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x) |
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x) |
(/ 1 x) |
(/ (+ 1 (/ 1 x)) x) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x)) |
| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
(- (* -2 x) 1) |
(fma.f64 #s(literal -2 binary64) x #s(literal -1 binary64)) |
(- (* x (- (* -2 x) 2)) 1) |
(fma.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (* x (- (* x (- (* -2 x) 2)) 2)) 1) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64))))) |
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) |
(+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64))))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 3 x)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 x))) |
(fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (fma.f64 x x #s(literal 0 binary64)))) x) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (fma.f64 x x #s(literal 0 binary64)))) x) |
x |
(* x (+ 1 (* -1 x))) |
(*.f64 x (-.f64 #s(literal 1 binary64) x)) |
(* x (+ 1 (* x (- x 1)))) |
(*.f64 x (fma.f64 x (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))) |
(*.f64 x (fma.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 x)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 0 binary64)))) |
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) |
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 0 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 x)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 0 binary64)))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal 0 binary64)))) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 3 x)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 x))) |
(fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 x))) |
(fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(*.f64 x (+.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(*.f64 x (+.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
3 |
#s(literal 3 binary64) |
(+ 3 x) |
(+.f64 x #s(literal 3 binary64)) |
(+ 3 x) |
(+.f64 x #s(literal 3 binary64)) |
(+ 3 x) |
(+.f64 x #s(literal 3 binary64)) |
x |
(* x (+ 1 (* 3 (/ 1 x)))) |
(+.f64 x #s(literal 3 binary64)) |
(* x (+ 1 (* 3 (/ 1 x)))) |
(+.f64 x #s(literal 3 binary64)) |
(* x (+ 1 (* 3 (/ 1 x)))) |
(+.f64 x #s(literal 3 binary64)) |
x |
(* x (+ 1 (* 3 (/ 1 x)))) |
(+.f64 x #s(literal 3 binary64)) |
(* x (+ 1 (* 3 (/ 1 x)))) |
(+.f64 x #s(literal 3 binary64)) |
(* x (+ 1 (* 3 (/ 1 x)))) |
(+.f64 x #s(literal 3 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 3 x)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 x))) |
(fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(* 3 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 3 binary64)))) |
(* (pow x 3) (+ 3 (/ 1 x))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))) |
(* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2))))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(* (pow x 3) (+ 3 (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ 3 (pow x 2)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(* 3 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 3 binary64)))) |
(* (pow x 3) (+ 3 (/ 1 x))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))) x)) 3))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
3 |
#s(literal 3 binary64) |
(+ 3 x) |
(+.f64 x #s(literal 3 binary64)) |
(+ 3 (* x (+ 1 (* 3 x)))) |
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) |
(+ 3 (* x (+ 1 (* 3 x)))) |
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) |
(* 3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (/ 1 x))) |
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))) |
(* (pow x 2) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) |
(* (pow x 2) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) |
(* 3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (/ 1 x))) |
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))) |
(* (pow x 2) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) |
(* (pow x 2) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 3 x)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(+ 1 (* 3 x)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(+ 1 (* 3 x)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* x (+ 3 (/ 1 x))) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(* x (+ 3 (/ 1 x))) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(* x (+ 3 (/ 1 x))) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* x (+ 3 (/ 1 x))) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(* x (+ 3 (/ 1 x))) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(* x (+ 3 (/ 1 x))) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(/ -3 (pow x 3)) |
(/.f64 #s(literal -3 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) |
(/ (- (* -1 x) 3) (pow x 3)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3)) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3)) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) |
(/ -3 (pow x 2)) |
(/.f64 #s(literal -3 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64))) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2)) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64)))) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2)) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64)))) |
-3 |
#s(literal -3 binary64) |
(* -1 (+ 3 (/ 1 x))) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64)))) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64)))) |
-3 |
#s(literal -3 binary64) |
(* -1 (+ 3 (/ 1 x))) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64)))) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64)))) |
(/ -3 (pow x 2)) |
(/.f64 #s(literal -3 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64))) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64))) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64))) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64))) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64))) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64))) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64))) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(/ (- (* -1 x) 3) x) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) |
(/ (- (* -1 x) 3) x) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) |
(/ (- (* -1 x) 3) x) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (* 3 (/ 1 x)))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) |
(* -1 (+ 1 (* 3 (/ 1 x)))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) |
(* -1 (+ 1 (* 3 (/ 1 x)))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (* 3 (/ 1 x)))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) |
(* -1 (+ 1 (* 3 (/ 1 x)))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) |
(* -1 (+ 1 (* 3 (/ 1 x)))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(- (* x (- (* -1 x) 1)) 1) |
(fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1) |
(fma.f64 x (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (/ 1 x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) |
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))))) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (/ 1 x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) |
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) x) |
Compiled 23 194 to 2 554 computations (89% saved)
14 alts after pruning (9 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 927 | 7 | 934 |
| Fresh | 4 | 2 | 6 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 932 | 14 | 946 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 52.9% | (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 52.5% | (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) (/.f64 x (+.f64 #s(literal 1 binary64) x))) | |
| ✓ | 50.0% | (fma.f64 x (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
| ✓ | 50.4% | (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
| ▶ | 50.0% | (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
| ▶ | 52.0% | (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))) |
| 27.7% | (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64))) | |
| 50.7% | (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (fma.f64 x x #s(literal 0 binary64)))) x) | |
| ▶ | 51.3% | (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64)))) x) |
| 51.1% | (/.f64 #s(literal -3 binary64) x) | |
| ✓ | 53.6% | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| ✓ | 53.5% | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))) |
| ▶ | 50.0% | (+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) |
| ✓ | 50.6% | #s(literal 1 binary64) |
Compiled 276 to 163 computations (40.9% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))) |
| ✓ | cost-diff | 128 | (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
| ✓ | cost-diff | 192 | (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) |
| ✓ | cost-diff | 192 | (fma.f64 x (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal -3 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64)))) x) |
| ✓ | cost-diff | -64 | (*.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) |
| ✓ | cost-diff | 192 | (+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x x #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 x (fma.f64 x x #s(literal -1 binary64))) |
| ✓ | cost-diff | 576 | (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 13 732× | accelerator-lowering-fma.f32 |
| 13 732× | accelerator-lowering-fma.f64 |
| 2 902× | +-lowering-+.f64 |
| 2 902× | +-lowering-+.f32 |
| 2 618× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 195 |
| 1 | 90 | 191 |
| 2 | 232 | 183 |
| 3 | 630 | 183 |
| 4 | 2205 | 179 |
| 0 | 8555 | 164 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (/ x (+ (* x x) -1)) (+ x -1)) (/ (+ 1 x) (- 1 x))) |
(/ x (+ (* x x) -1)) |
x |
(+ (* x x) -1) |
-1 |
(+ x -1) |
(/ (+ 1 x) (- 1 x)) |
(+ 1 x) |
1 |
(- 1 x) |
(+ (* x 3) 1) |
x |
3 |
1 |
(+ (* x (+ (* x (+ (* x 3) 1)) 3)) 1) |
(* x (+ (* x (+ (* x 3) 1)) 3)) |
x |
(+ (* x (+ (* x 3) 1)) 3) |
(+ (* x 3) 1) |
3 |
1 |
(/ (+ -3 (/ (- -3 x) (+ (* x x) 0))) x) |
(+ -3 (/ (- -3 x) (+ (* x x) 0))) |
-3 |
(/ (- -3 x) (+ (* x x) 0)) |
(- -3 x) |
x |
(+ (* x x) 0) |
0 |
(/ (+ (* x (+ x -1)) (* (+ x 1) (+ (* -1 x) -1))) (+ (* x x) -1)) |
(+ (* x (+ x -1)) (* (+ x 1) (+ (* -1 x) -1))) |
x |
(+ x -1) |
-1 |
(* (+ x 1) (+ (* -1 x) -1)) |
(+ x 1) |
1 |
(+ (* -1 x) -1) |
(+ (* x x) -1) |
| Outputs |
|---|
(+ (* (/ x (+ (* x x) -1)) (+ x -1)) (/ (+ 1 x) (- 1 x))) |
(+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) |
(/ x (+ (* x x) -1)) |
(/.f64 x (fma.f64 x x #s(literal -1 binary64))) |
x |
(+ (* x x) -1) |
(fma.f64 x x #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(+ x -1) |
(+.f64 x #s(literal -1 binary64)) |
(/ (+ 1 x) (- 1 x)) |
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(+ (* x 3) 1) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
x |
3 |
#s(literal 3 binary64) |
1 |
#s(literal 1 binary64) |
(+ (* x (+ (* x (+ (* x 3) 1)) 3)) 1) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(* x (+ (* x (+ (* x 3) 1)) 3)) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) |
x |
(+ (* x (+ (* x 3) 1)) 3) |
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) |
(+ (* x 3) 1) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
3 |
#s(literal 3 binary64) |
1 |
#s(literal 1 binary64) |
(/ (+ -3 (/ (- -3 x) (+ (* x x) 0))) x) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64)))) x) |
(+ -3 (/ (- -3 x) (+ (* x x) 0))) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64)))) |
-3 |
#s(literal -3 binary64) |
(/ (- -3 x) (+ (* x x) 0)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64))) |
(- -3 x) |
(-.f64 #s(literal -3 binary64) x) |
x |
(+ (* x x) 0) |
(fma.f64 x x #s(literal 0 binary64)) |
0 |
#s(literal 0 binary64) |
(/ (+ (* x (+ x -1)) (* (+ x 1) (+ (* -1 x) -1))) (+ (* x x) -1)) |
(/.f64 (fma.f64 x (+.f64 #s(literal -1 binary64) (+.f64 x (-.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(+ (* x (+ x -1)) (* (+ x 1) (+ (* -1 x) -1))) |
(fma.f64 x (+.f64 #s(literal -1 binary64) (+.f64 x (-.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64)) |
x |
(+ x -1) |
(+.f64 x #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(* (+ x 1) (+ (* -1 x) -1)) |
(fma.f64 x (-.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) |
(+ x 1) |
(+.f64 x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ (* -1 x) -1) |
(-.f64 #s(literal -1 binary64) x) |
(+ (* x x) -1) |
(fma.f64 x x #s(literal -1 binary64)) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
| ✓ | accuracy | 77.4% | (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))) |
| ✓ | accuracy | 53.4% | (fma.f64 x (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal -3 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64)))) |
| ✓ | accuracy | 99.9% | (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64)))) x) |
| ✓ | accuracy | 77.4% | (/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 77.5% | (/.f64 x (fma.f64 x x #s(literal -1 binary64))) |
| ✓ | accuracy | 53.1% | (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 50.0ms | 78× | 2 | valid |
| 31.0ms | 66× | 1 | valid |
| 27.0ms | 110× | 0 | valid |
| 1.0ms | 2× | 3 | valid |
Compiled 185 to 35 computations (81.1% saved)
ival-add: 23.0ms (27.7% of total)ival-div: 20.0ms (24.1% of total)ival-mult: 20.0ms (24.1% of total)adjust: 16.0ms (19.3% of total)ival-sub: 3.0ms (3.6% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (/ x (+ (* x x) -1)) (+ x -1)) (/ (+ 1 x) (- 1 x)))> |
#<alt (/ x (+ (* x x) -1))> |
#<alt (+ (* x x) -1)> |
#<alt (+ x -1)> |
#<alt (+ (* x 3) 1)> |
#<alt (+ (* x (+ (* x (+ (* x 3) 1)) 3)) 1)> |
#<alt (+ (* x (+ (* x 3) 1)) 3)> |
#<alt (* x (+ (* x (+ (* x 3) 1)) 3))> |
#<alt (/ (+ -3 (/ (- -3 x) (+ (* x x) 0))) x)> |
#<alt (+ -3 (/ (- -3 x) (+ (* x x) 0)))> |
#<alt (/ (- -3 x) (+ (* x x) 0))> |
#<alt (- -3 x)> |
#<alt (+ (* x (+ x -1)) (* (+ x 1) (+ (* -1 x) -1)))> |
#<alt (+ (* -1 x) -1)> |
#<alt (* (+ x 1) (+ (* -1 x) -1))> |
#<alt (/ (+ (* x (+ x -1)) (* (+ x 1) (+ (* -1 x) -1))) (+ (* x x) -1))> |
#<alt (/ (+ 1 x) (- 1 x))> |
#<alt (+ 1 x)> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* 3 x))> |
#<alt (+ 1 (* x (+ 3 x)))> |
#<alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))> |
#<alt (/ -3 x)> |
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))> |
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)> |
#<alt (/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)> |
#<alt (/ -3 x)> |
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))> |
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))> |
#<alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))> |
#<alt (* -1 x)> |
#<alt (* x (- (* -1 (pow x 2)) 1))> |
#<alt (* x (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1))> |
#<alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (/ 1 (pow x 2))) x)> |
#<alt (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)> |
#<alt (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (/ 1 (pow x 2))) x)> |
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x))> |
#<alt -1> |
#<alt (- (pow x 2) 1)> |
#<alt (- (pow x 2) 1)> |
#<alt (- (pow x 2) 1)> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt -1> |
#<alt (- x 1)> |
#<alt (- x 1)> |
#<alt (- x 1)> |
#<alt x> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt x> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt 1> |
#<alt (+ 1 (* 3 x))> |
#<alt (+ 1 (* 3 x))> |
#<alt (+ 1 (* 3 x))> |
#<alt (* 3 x)> |
#<alt (* x (+ 3 (/ 1 x)))> |
#<alt (* x (+ 3 (/ 1 x)))> |
#<alt (* x (+ 3 (/ 1 x)))> |
#<alt (* 3 x)> |
#<alt (* x (+ 3 (/ 1 x)))> |
#<alt (* x (+ 3 (/ 1 x)))> |
#<alt (* x (+ 3 (/ 1 x)))> |
#<alt 1> |
#<alt (+ 1 (* 3 x))> |
#<alt (+ 1 (* x (+ 3 x)))> |
#<alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))> |
#<alt (* 3 (pow x 3))> |
#<alt (* (pow x 3) (+ 3 (/ 1 x)))> |
#<alt (* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 3 (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ 3 (pow x 2))))))> |
#<alt (* 3 (pow x 3))> |
#<alt (* (pow x 3) (+ 3 (/ 1 x)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))) x)) 3)))> |
#<alt 3> |
#<alt (+ 3 x)> |
#<alt (+ 3 (* x (+ 1 (* 3 x))))> |
#<alt (+ 3 (* x (+ 1 (* 3 x))))> |
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))> |
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))> |
#<alt (* 3 x)> |
#<alt (* x (+ 3 x))> |
#<alt (* x (+ 3 (* x (+ 1 (* 3 x)))))> |
#<alt (* x (+ 3 (* x (+ 1 (* 3 x)))))> |
#<alt (* 3 (pow x 3))> |
#<alt (* (pow x 3) (+ 3 (/ 1 x)))> |
#<alt (* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))> |
#<alt (* 3 (pow x 3))> |
#<alt (* (pow x 3) (+ 3 (/ 1 x)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)))> |
#<alt (/ -3 (pow x 3))> |
#<alt (/ (- (* -1 x) 3) (pow x 3))> |
#<alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))> |
#<alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))> |
#<alt (/ -3 x)> |
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))> |
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)> |
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)> |
#<alt (/ -3 x)> |
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))> |
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))> |
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))> |
#<alt (/ -3 (pow x 2))> |
#<alt (/ (- (* -1 x) 3) (pow x 2))> |
#<alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 2))> |
#<alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 2))> |
#<alt -3> |
#<alt (* -1 (+ 3 (/ 1 x)))> |
#<alt (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)> |
#<alt (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)> |
#<alt -3> |
#<alt (* -1 (+ 3 (/ 1 x)))> |
#<alt (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)> |
#<alt (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)> |
#<alt (/ -3 (pow x 2))> |
#<alt (/ (- (* -1 x) 3) (pow x 2))> |
#<alt (/ (- (* -1 x) 3) (pow x 2))> |
#<alt (/ (- (* -1 x) 3) (pow x 2))> |
#<alt (/ -1 x)> |
#<alt (* -1 (/ (+ 1 (* 3 (/ 1 x))) x))> |
#<alt (* -1 (/ (+ 1 (* 3 (/ 1 x))) x))> |
#<alt (* -1 (/ (+ 1 (* 3 (/ 1 x))) x))> |
#<alt (/ -1 x)> |
#<alt (* -1 (/ (+ 1 (* 3 (/ 1 x))) x))> |
#<alt (* -1 (/ (+ 1 (* 3 (/ 1 x))) x))> |
#<alt (* -1 (/ (+ 1 (* 3 (/ 1 x))) x))> |
#<alt -3> |
#<alt (- (* -1 x) 3)> |
#<alt (- (* -1 x) 3)> |
#<alt (- (* -1 x) 3)> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 1 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 1 (* 3 (/ 1 x)))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 1 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 1 (* 3 (/ 1 x)))))> |
#<alt -1> |
#<alt (- (* -3 x) 1)> |
#<alt (- (* -3 x) 1)> |
#<alt (- (* -3 x) 1)> |
#<alt (* -3 x)> |
#<alt (* -1 (* x (+ 3 (/ 1 x))))> |
#<alt (* -1 (* x (+ 3 (/ 1 x))))> |
#<alt (* -1 (* x (+ 3 (/ 1 x))))> |
#<alt (* -3 x)> |
#<alt (* -1 (* x (+ 3 (/ 1 x))))> |
#<alt (* -1 (* x (+ 3 (/ 1 x))))> |
#<alt (* -1 (* x (+ 3 (/ 1 x))))> |
#<alt -1> |
#<alt (- (* -1 x) 1)> |
#<alt (- (* -1 x) 1)> |
#<alt (- (* -1 x) 1)> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (/ 1 x))))> |
#<alt (* -1 (* x (+ 1 (/ 1 x))))> |
#<alt (* -1 (* x (+ 1 (/ 1 x))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (/ 1 x))))> |
#<alt (* -1 (* x (+ 1 (/ 1 x))))> |
#<alt (* -1 (* x (+ 1 (/ 1 x))))> |
#<alt -1> |
#<alt (- (* -2 x) 1)> |
#<alt (- (* x (- (* -1 x) 2)) 1)> |
#<alt (- (* x (- (* -1 x) 2)) 1)> |
#<alt (* -1 (pow x 2))> |
#<alt (* -1 (* (pow x 2) (+ 1 (* 2 (/ 1 x)))))> |
#<alt (* (pow x 2) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1))> |
#<alt (* (pow x 2) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1))> |
#<alt (* -1 (pow x 2))> |
#<alt (* -1 (* (pow x 2) (+ 1 (* 2 (/ 1 x)))))> |
#<alt (* (pow x 2) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1))> |
#<alt (* (pow x 2) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1))> |
#<alt 1> |
#<alt (+ 1 (* 3 x))> |
#<alt (+ 1 (* x (+ 3 x)))> |
#<alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))> |
#<alt (/ -3 x)> |
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))> |
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)> |
#<alt (/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)> |
#<alt (/ -3 x)> |
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))> |
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))> |
#<alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))> |
#<alt 1> |
#<alt (+ 1 (* 2 x))> |
#<alt (+ 1 (* x (+ 2 (* 2 x))))> |
#<alt (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))> |
#<alt -1> |
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))> |
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)> |
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))> |
#<alt -1> |
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))> |
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)> |
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/ x (+ (* x x) -1)) |
| 0.0ms | x | @ | 0 | (+ (* x (+ x -1)) (* (+ x 1) (+ (* -1 x) -1))) |
| 0.0ms | x | @ | inf | (+ (* x (+ x -1)) (* (+ x 1) (+ (* -1 x) -1))) |
| 0.0ms | x | @ | inf | (+ (* (/ x (+ (* x x) -1)) (+ x -1)) (/ (+ 1 x) (- 1 x))) |
| 0.0ms | x | @ | -inf | (+ (* x (+ x -1)) (* (+ x 1) (+ (* -1 x) -1))) |
| 1× | batch-egg-rewrite |
| 6 568× | accelerator-lowering-fma.f32 |
| 6 568× | accelerator-lowering-fma.f64 |
| 4 078× | /-lowering-/.f32 |
| 4 078× | /-lowering-/.f64 |
| 2 904× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 154 |
| 1 | 271 | 152 |
| 2 | 2917 | 148 |
| 0 | 10268 | 128 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (/ x (+ (* x x) -1)) (+ x -1)) (/ (+ 1 x) (- 1 x))) |
(/ x (+ (* x x) -1)) |
(+ (* x x) -1) |
(+ x -1) |
(+ (* x 3) 1) |
(+ (* x (+ (* x (+ (* x 3) 1)) 3)) 1) |
(+ (* x (+ (* x 3) 1)) 3) |
(* x (+ (* x (+ (* x 3) 1)) 3)) |
(/ (+ -3 (/ (- -3 x) (+ (* x x) 0))) x) |
(+ -3 (/ (- -3 x) (+ (* x x) 0))) |
(/ (- -3 x) (+ (* x x) 0)) |
(- -3 x) |
(+ (* x (+ x -1)) (* (+ x 1) (+ (* -1 x) -1))) |
(+ (* -1 x) -1) |
(* (+ x 1) (+ (* -1 x) -1)) |
(/ (+ (* x (+ x -1)) (* (+ x 1) (+ (* -1 x) -1))) (+ (* x x) -1)) |
(/ (+ 1 x) (- 1 x)) |
(+ 1 x) |
| Outputs |
|---|
(+.f64 (/.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64)))) |
(+.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) |
(+.f64 (+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (-.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))) (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))))) |
(-.f64 (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal -1 binary64)))) (/.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (-.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal -1 binary64))))) |
(fma.f64 x (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (+.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) x (+.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64)))) |
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(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) |
(+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) |
(-.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 x #s(literal -1 binary64))))) |
(-.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) |
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))) (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 x #s(literal -1 binary64)))) (+.f64 x #s(literal -1 binary64))) |
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))) |
(/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (neg.f64 (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (-.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64)) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64))) (neg.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))))) |
(pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) |
| 1× | egg-herbie |
| 10 284× | accelerator-lowering-fma.f32 |
| 10 284× | accelerator-lowering-fma.f64 |
| 5 058× | *-lowering-*.f32 |
| 5 058× | *-lowering-*.f64 |
| 1 608× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 167 | 1475 |
| 1 | 473 | 1433 |
| 2 | 1316 | 1312 |
| 3 | 5352 | 1305 |
| 0 | 8451 | 1219 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(* -1 x) |
(* x (- (* -1 (pow x 2)) 1)) |
(* x (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1)) |
(/ 1 x) |
(/ (+ 1 (/ 1 (pow x 2))) x) |
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x) |
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x) |
(/ 1 x) |
(/ (+ 1 (/ 1 (pow x 2))) x) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x)) |
-1 |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* 3 x)) |
(+ 1 (* 3 x)) |
(* 3 x) |
(* x (+ 3 (/ 1 x))) |
(* x (+ 3 (/ 1 x))) |
(* x (+ 3 (/ 1 x))) |
(* 3 x) |
(* x (+ 3 (/ 1 x))) |
(* x (+ 3 (/ 1 x))) |
(* x (+ 3 (/ 1 x))) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(* 3 (pow x 3)) |
(* (pow x 3) (+ 3 (/ 1 x))) |
(* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2))))) |
(* (pow x 3) (+ 3 (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ 3 (pow x 2)))))) |
(* 3 (pow x 3)) |
(* (pow x 3) (+ 3 (/ 1 x))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))) x)) 3))) |
3 |
(+ 3 x) |
(+ 3 (* x (+ 1 (* 3 x)))) |
(+ 3 (* x (+ 1 (* 3 x)))) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (/ 1 x))) |
(* (pow x 2) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2))))) |
(* (pow x 2) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2))))) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (/ 1 x))) |
(* (pow x 2) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2))))) |
(* (pow x 2) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2))))) |
(* 3 x) |
(* x (+ 3 x)) |
(* x (+ 3 (* x (+ 1 (* 3 x))))) |
(* x (+ 3 (* x (+ 1 (* 3 x))))) |
(* 3 (pow x 3)) |
(* (pow x 3) (+ 3 (/ 1 x))) |
(* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2))))) |
(* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2))))) |
(* 3 (pow x 3)) |
(* (pow x 3) (+ 3 (/ 1 x))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3))) |
(/ -3 (pow x 3)) |
(/ (- (* -1 x) 3) (pow x 3)) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3)) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3)) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/ -3 (pow x 2)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2)) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2)) |
-3 |
(* -1 (+ 3 (/ 1 x))) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
-3 |
(* -1 (+ 3 (/ 1 x))) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(/ -3 (pow x 2)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/ -1 x) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(/ -1 x) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
-3 |
(- (* -1 x) 3) |
(- (* -1 x) 3) |
(- (* -1 x) 3) |
(* -1 x) |
(* -1 (* x (+ 1 (* 3 (/ 1 x))))) |
(* -1 (* x (+ 1 (* 3 (/ 1 x))))) |
(* -1 (* x (+ 1 (* 3 (/ 1 x))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 3 (/ 1 x))))) |
(* -1 (* x (+ 1 (* 3 (/ 1 x))))) |
(* -1 (* x (+ 1 (* 3 (/ 1 x))))) |
-1 |
(- (* -3 x) 1) |
(- (* -3 x) 1) |
(- (* -3 x) 1) |
(* -3 x) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -3 x) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -1 (* x (+ 3 (/ 1 x)))) |
-1 |
(- (* -1 x) 1) |
(- (* -1 x) 1) |
(- (* -1 x) 1) |
(* -1 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
-1 |
(- (* -2 x) 1) |
(- (* x (- (* -1 x) 2)) 1) |
(- (* x (- (* -1 x) 2)) 1) |
(* -1 (pow x 2)) |
(* -1 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))) |
(* (pow x 2) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1)) |
(* (pow x 2) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1)) |
(* -1 (pow x 2)) |
(* -1 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))) |
(* (pow x 2) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1)) |
(* (pow x 2) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1)) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
1 |
(+ 1 (* 2 x)) |
(+ 1 (* x (+ 2 (* 2 x)))) |
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
-1 |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
-1 |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 x))) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (*.f64 x x))) x) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (*.f64 x x))) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* x (- (* -1 (pow x 2)) 1)) |
(neg.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) x)) |
(* x (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) |
(*.f64 x (fma.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64))) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1)) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (/ 1 (pow x 2))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x) |
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) x) |
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (/ 1 (pow x 2))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x))) x) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x)) |
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) x) |
-1 |
#s(literal -1 binary64) |
(- (pow x 2) 1) |
(fma.f64 x x #s(literal -1 binary64)) |
(- (pow x 2) 1) |
(fma.f64 x x #s(literal -1 binary64)) |
(- (pow x 2) 1) |
(fma.f64 x x #s(literal -1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
x |
(* x (- 1 (/ 1 x))) |
(+.f64 x #s(literal -1 binary64)) |
(* x (- 1 (/ 1 x))) |
(+.f64 x #s(literal -1 binary64)) |
(* x (- 1 (/ 1 x))) |
(+.f64 x #s(literal -1 binary64)) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 x #s(literal -1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 x #s(literal -1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 x #s(literal -1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(+ 1 (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(+ 1 (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 (/ 1 x))) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(* x (+ 3 (/ 1 x))) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(* x (+ 3 (/ 1 x))) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 (/ 1 x))) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(* x (+ 3 (/ 1 x))) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(* x (+ 3 (/ 1 x))) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 x))) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(* 3 (pow x 3)) |
(*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 3 (/ 1 x))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
(* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2))))) |
(*.f64 x (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64))) |
(* (pow x 3) (+ 3 (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ 3 (pow x 2)))))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(* 3 (pow x 3)) |
(*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 3 (/ 1 x))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3))) |
(*.f64 x (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))) x)) 3))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
3 |
#s(literal 3 binary64) |
(+ 3 x) |
(+.f64 #s(literal 3 binary64) x) |
(+ 3 (* x (+ 1 (* 3 x)))) |
(fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) |
(+ 3 (* x (+ 1 (* 3 x)))) |
(fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 3 (/ 1 x))) |
(*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(* (pow x 2) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2))))) |
(fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) |
(* (pow x 2) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2))))) |
(fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 3 (/ 1 x))) |
(*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(* (pow x 2) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2))))) |
(fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) |
(* (pow x 2) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2))))) |
(fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 x)) |
(*.f64 x (+.f64 #s(literal 3 binary64) x)) |
(* x (+ 3 (* x (+ 1 (* 3 x))))) |
(*.f64 x (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64))) |
(* x (+ 3 (* x (+ 1 (* 3 x))))) |
(*.f64 x (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64))) |
(* 3 (pow x 3)) |
(*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 3 (/ 1 x))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
(* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2))))) |
(*.f64 x (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64))) |
(* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2))))) |
(*.f64 x (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64))) |
(* 3 (pow x 3)) |
(*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 3 (/ 1 x))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3))) |
(*.f64 x (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3))) |
(*.f64 x (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64))) |
(/ -3 (pow x 3)) |
(/.f64 #s(literal -3 binary64) (*.f64 x (*.f64 x x))) |
(/ (- (* -1 x) 3) (pow x 3)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x (*.f64 x x))) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3)) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3)) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(/ -3 (pow x 2)) |
(/.f64 #s(literal -3 binary64) (*.f64 x x)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2)) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2)) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
-3 |
#s(literal -3 binary64) |
(* -1 (+ 3 (/ 1 x))) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
-3 |
#s(literal -3 binary64) |
(* -1 (+ 3 (/ 1 x))) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
(/ -3 (pow x 2)) |
(/.f64 #s(literal -3 binary64) (*.f64 x x)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
-3 |
#s(literal -3 binary64) |
(- (* -1 x) 3) |
(-.f64 #s(literal -3 binary64) x) |
(- (* -1 x) 3) |
(-.f64 #s(literal -3 binary64) x) |
(- (* -1 x) 3) |
(-.f64 #s(literal -3 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 (* x (+ 1 (* 3 (/ 1 x))))) |
(-.f64 #s(literal -3 binary64) x) |
(* -1 (* x (+ 1 (* 3 (/ 1 x))))) |
(-.f64 #s(literal -3 binary64) x) |
(* -1 (* x (+ 1 (* 3 (/ 1 x))))) |
(-.f64 #s(literal -3 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 (* x (+ 1 (* 3 (/ 1 x))))) |
(-.f64 #s(literal -3 binary64) x) |
(* -1 (* x (+ 1 (* 3 (/ 1 x))))) |
(-.f64 #s(literal -3 binary64) x) |
(* -1 (* x (+ 1 (* 3 (/ 1 x))))) |
(-.f64 #s(literal -3 binary64) x) |
-1 |
#s(literal -1 binary64) |
(- (* -3 x) 1) |
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) |
(- (* -3 x) 1) |
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) |
(- (* -3 x) 1) |
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) x) |
-1 |
#s(literal -1 binary64) |
(- (* -2 x) 1) |
(fma.f64 x #s(literal -2 binary64) #s(literal -1 binary64)) |
(- (* x (- (* -1 x) 2)) 1) |
(fma.f64 x (-.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) |
(- (* x (- (* -1 x) 2)) 1) |
(fma.f64 x (-.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) |
(* -1 (pow x 2)) |
(-.f64 #s(literal 0 binary64) (*.f64 x x)) |
(* -1 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))) |
(*.f64 x (-.f64 #s(literal -2 binary64) x)) |
(* (pow x 2) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))) |
(* (pow x 2) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))) |
(* -1 (pow x 2)) |
(-.f64 #s(literal 0 binary64) (*.f64 x x)) |
(* -1 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))) |
(*.f64 x (-.f64 #s(literal -2 binary64) x)) |
(* (pow x 2) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))) |
(* (pow x 2) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 x))) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (*.f64 x x))) x) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (*.f64 x x))) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 x)) |
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 2 (* 2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(+.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) x)) |
1 |
#s(literal 1 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) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
Compiled 41 281 to 3 724 computations (91% saved)
10 alts after pruning (4 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 566 | 3 | 1 569 |
| Fresh | 3 | 1 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 4 | 5 |
| Total | 1 573 | 10 | 1 583 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 50.0% | (fma.f64 x (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
| ✓ | 50.4% | (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
| ✓ | 50.0% | (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
| ▶ | 77.4% | (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
| ▶ | 27.7% | (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
| ▶ | 51.1% | (/.f64 #s(literal -3 binary64) x) |
| ✓ | 53.5% | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))) |
| ✓ | 50.0% | (+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) |
| ▶ | 50.0% | (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
| ✓ | 50.6% | #s(literal 1 binary64) |
Compiled 86 to 54 computations (37.2% saved)
| 1× | egg-herbie |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 x x #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
| ✓ | cost-diff | -64 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -3 binary64) x) |
| ✓ | cost-diff | -64 | (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x x #s(literal 1 binary64)) |
| 12 188× | accelerator-lowering-fma.f32 |
| 12 188× | accelerator-lowering-fma.f64 |
| 3 016× | *-lowering-*.f32 |
| 3 016× | *-lowering-*.f64 |
| 2 670× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 73 |
| 1 | 36 | 73 |
| 2 | 77 | 73 |
| 3 | 174 | 73 |
| 4 | 354 | 73 |
| 5 | 486 | 73 |
| 6 | 656 | 73 |
| 7 | 939 | 73 |
| 8 | 2946 | 73 |
| 9 | 4552 | 73 |
| 10 | 7244 | 73 |
| 0 | 8022 | 63 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (+ (* x x) 1) (+ (* 3 x) 1)) |
(+ (* x x) 1) |
x |
1 |
(+ (* 3 x) 1) |
3 |
(/ -3 x) |
-3 |
x |
(/ (+ (* x -3) -1) (* x x)) |
(+ (* x -3) -1) |
x |
-3 |
-1 |
(* x x) |
(/ (+ (* x -3) -1) (+ (* x x) -1)) |
(+ (* x -3) -1) |
x |
-3 |
-1 |
(+ (* x x) -1) |
| Outputs |
|---|
(* (+ (* x x) 1) (+ (* 3 x) 1)) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(+ (* x x) 1) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
1 |
#s(literal 1 binary64) |
(+ (* 3 x) 1) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
3 |
#s(literal 3 binary64) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
-3 |
#s(literal -3 binary64) |
x |
(/ (+ (* x -3) -1) (* x x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
(+ (* x -3) -1) |
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) |
x |
-3 |
#s(literal -3 binary64) |
-1 |
#s(literal -1 binary64) |
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
(/ (+ (* x -3) -1) (+ (* x x) -1)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(+ (* x -3) -1) |
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) |
x |
-3 |
#s(literal -3 binary64) |
-1 |
#s(literal -1 binary64) |
(+ (* x x) -1) |
(fma.f64 x x #s(literal -1 binary64)) |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 x x #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) |
| ✓ | accuracy | 77.4% | (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 77.3% | (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -3 binary64) x) |
| ✓ | accuracy | 100.0% | (fma.f64 x x #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
| 28.0ms | 233× | 0 | valid |
| 3.0ms | 11× | 2 | valid |
| 3.0ms | 12× | 1 | valid |
Compiled 65 to 18 computations (72.3% saved)
ival-mult: 11.0ms (48.5% of total)ival-div: 5.0ms (22.1% of total)ival-add: 5.0ms (22.1% of total)adjust: 1.0ms (4.4% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* x x) 1)> |
#<alt (+ (* 3 x) 1)> |
#<alt (* (+ (* x x) 1) (+ (* 3 x) 1))> |
#<alt (/ -3 x)> |
#<alt (/ (+ (* x -3) -1) (* x x))> |
#<alt (+ (* x -3) -1)> |
#<alt (* x x)> |
#<alt (/ (+ (* x -3) -1) (+ (* x x) -1))> |
#<alt (+ (* x x) -1)> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (pow x 2))> |
#<alt (+ 1 (pow x 2))> |
#<alt (+ 1 (pow x 2))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))> |
#<alt 1> |
#<alt (+ 1 (* 3 x))> |
#<alt (+ 1 (* 3 x))> |
#<alt (+ 1 (* 3 x))> |
#<alt (* 3 x)> |
#<alt (* x (+ 3 (/ 1 x)))> |
#<alt (* x (+ 3 (/ 1 x)))> |
#<alt (* x (+ 3 (/ 1 x)))> |
#<alt (* 3 x)> |
#<alt (* x (+ 3 (/ 1 x)))> |
#<alt (* x (+ 3 (/ 1 x)))> |
#<alt (* x (+ 3 (/ 1 x)))> |
#<alt 1> |
#<alt (+ 1 (* 3 x))> |
#<alt (+ 1 (* x (+ 3 x)))> |
#<alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))> |
#<alt (* 3 (pow x 3))> |
#<alt (* (pow x 3) (+ 3 (/ 1 x)))> |
#<alt (* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 3 (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ 3 (pow x 2))))))> |
#<alt (* 3 (pow x 3))> |
#<alt (* (pow x 3) (+ 3 (/ 1 x)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))) x)) 3)))> |
#<alt (/ -3 x)> |
#<alt (/ -3 x)> |
#<alt (/ -3 x)> |
#<alt (/ -3 x)> |
#<alt (/ -3 x)> |
#<alt (/ -3 x)> |
#<alt (/ -3 x)> |
#<alt (/ -3 x)> |
#<alt (/ -3 x)> |
#<alt (/ -3 x)> |
#<alt (/ -3 x)> |
#<alt (/ -3 x)> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ (- (* -3 x) 1) (pow x 2))> |
#<alt (/ (- (* -3 x) 1) (pow x 2))> |
#<alt (/ (- (* -3 x) 1) (pow x 2))> |
#<alt (/ -3 x)> |
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))> |
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))> |
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))> |
#<alt (/ -3 x)> |
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))> |
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))> |
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))> |
#<alt -1> |
#<alt (- (* -3 x) 1)> |
#<alt (- (* -3 x) 1)> |
#<alt (- (* -3 x) 1)> |
#<alt (* -3 x)> |
#<alt (* -1 (* x (+ 3 (/ 1 x))))> |
#<alt (* -1 (* x (+ 3 (/ 1 x))))> |
#<alt (* -1 (* x (+ 3 (/ 1 x))))> |
#<alt (* -3 x)> |
#<alt (* -1 (* x (+ 3 (/ 1 x))))> |
#<alt (* -1 (* x (+ 3 (/ 1 x))))> |
#<alt (* -1 (* x (+ 3 (/ 1 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 1> |
#<alt (+ 1 (* 3 x))> |
#<alt (+ 1 (* x (+ 3 x)))> |
#<alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))> |
#<alt (/ -3 x)> |
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))> |
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)> |
#<alt (/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)> |
#<alt (/ -3 x)> |
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))> |
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))> |
#<alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))> |
#<alt -1> |
#<alt (- (pow x 2) 1)> |
#<alt (- (pow x 2) 1)> |
#<alt (- (pow x 2) 1)> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (+ (* x x) 1) |
| 0.0ms | x | @ | 0 | (/ -3 x) |
| 0.0ms | x | @ | 0 | (/ (+ (* x -3) -1) (* x x)) |
| 0.0ms | x | @ | inf | (/ (+ (* x -3) -1) (* x x)) |
| 0.0ms | x | @ | -inf | (/ (+ (* x -3) -1) (* x x)) |
| 1× | batch-egg-rewrite |
| 8 106× | accelerator-lowering-fma.f32 |
| 8 106× | accelerator-lowering-fma.f64 |
| 5 426× | *-lowering-*.f32 |
| 5 426× | *-lowering-*.f64 |
| 4 708× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 57 |
| 1 | 99 | 57 |
| 2 | 867 | 57 |
| 0 | 8701 | 48 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* x x) 1) |
(+ (* 3 x) 1) |
(* (+ (* x x) 1) (+ (* 3 x) 1)) |
(/ -3 x) |
(/ (+ (* x -3) -1) (* x x)) |
(+ (* x -3) -1) |
(* x x) |
(/ (+ (* x -3) -1) (+ (* x x) -1)) |
(+ (* x x) -1) |
| Outputs |
|---|
(+.f64 (*.f64 x x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) |
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))) |
(-.f64 (*.f64 x x) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))))) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)))))) |
(fma.f64 x x #s(literal 1 binary64)) |
(fma.f64 x (neg.f64 (*.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 (*.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) |
(fma.f64 x (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 x (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
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(/.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))) |
(/.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 x (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) |
(/.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 1 binary64))))))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(*.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) (+.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
| 1× | egg-herbie |
| 12 684× | accelerator-lowering-fma.f32 |
| 12 684× | accelerator-lowering-fma.f64 |
| 3 726× | *-lowering-*.f32 |
| 3 726× | *-lowering-*.f64 |
| 1 846× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 592 |
| 1 | 216 | 588 |
| 2 | 630 | 554 |
| 3 | 2459 | 546 |
| 4 | 5461 | 546 |
| 0 | 8452 | 492 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (pow x 2)) |
(+ 1 (pow x 2)) |
(+ 1 (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* 3 x)) |
(+ 1 (* 3 x)) |
(* 3 x) |
(* x (+ 3 (/ 1 x))) |
(* x (+ 3 (/ 1 x))) |
(* x (+ 3 (/ 1 x))) |
(* 3 x) |
(* x (+ 3 (/ 1 x))) |
(* x (+ 3 (/ 1 x))) |
(* x (+ 3 (/ 1 x))) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(* 3 (pow x 3)) |
(* (pow x 3) (+ 3 (/ 1 x))) |
(* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2))))) |
(* (pow x 3) (+ 3 (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ 3 (pow x 2)))))) |
(* 3 (pow x 3)) |
(* (pow x 3) (+ 3 (/ 1 x))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))) x)) 3))) |
(/ -3 x) |
(/ -3 x) |
(/ -3 x) |
(/ -3 x) |
(/ -3 x) |
(/ -3 x) |
(/ -3 x) |
(/ -3 x) |
(/ -3 x) |
(/ -3 x) |
(/ -3 x) |
(/ -3 x) |
(/ -1 (pow x 2)) |
(/ (- (* -3 x) 1) (pow x 2)) |
(/ (- (* -3 x) 1) (pow x 2)) |
(/ (- (* -3 x) 1) (pow x 2)) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
-1 |
(- (* -3 x) 1) |
(- (* -3 x) 1) |
(- (* -3 x) 1) |
(* -3 x) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -3 x) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -1 (* x (+ 3 (/ 1 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) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
-1 |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (pow x 2)) |
(fma.f64 x x #s(literal 1 binary64)) |
(+ 1 (pow x 2)) |
(fma.f64 x x #s(literal 1 binary64)) |
(+ 1 (pow x 2)) |
(fma.f64 x x #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 3 x)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(+ 1 (* 3 x)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(+ 1 (* 3 x)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* x (+ 3 (/ 1 x))) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(* x (+ 3 (/ 1 x))) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(* x (+ 3 (/ 1 x))) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* x (+ 3 (/ 1 x))) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(* x (+ 3 (/ 1 x))) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(* x (+ 3 (/ 1 x))) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 3 x)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 x))) |
(fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(* 3 (pow x 3)) |
(*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 3 (/ 1 x))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))) |
(* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) |
(* (pow x 3) (+ 3 (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ 3 (pow x 2)))))) |
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(* 3 (pow x 3)) |
(*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 3 (/ 1 x))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))) x)) 3))) |
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (* -3 x) 1) (pow x 2)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(/ (- (* -3 x) 1) (pow x 2)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(/ (- (* -3 x) 1) (pow x 2)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
-1 |
#s(literal -1 binary64) |
(- (* -3 x) 1) |
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) |
(- (* -3 x) 1) |
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) |
(- (* -3 x) 1) |
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(fma.f64 x #s(literal -3 binary64) #s(literal -1 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) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 3 x)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 x))) |
(fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 x #s(literal 3 binary64)) #s(literal -3 binary64)) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(fma.f64 (/.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 0 binary64)) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 x #s(literal 3 binary64)) #s(literal -3 binary64)) x) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(fma.f64 (/.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 0 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (pow x 2) 1) |
(fma.f64 x x #s(literal -1 binary64)) |
(- (pow x 2) 1) |
(fma.f64 x x #s(literal -1 binary64)) |
(- (pow x 2) 1) |
(fma.f64 x x #s(literal -1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
Compiled 37 854 to 2 979 computations (92.1% saved)
12 alts after pruning (2 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 475 | 2 | 1 477 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 6 | 6 |
| Total | 1 475 | 12 | 1 487 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 50.0% | (fma.f64 x (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
| ✓ | 50.4% | (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
| ✓ | 50.0% | (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
| ✓ | 77.4% | (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
| ✓ | 27.7% | (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
| 28.4% | (/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 x x)) | |
| ✓ | 51.1% | (/.f64 #s(literal -3 binary64) x) |
| ✓ | 53.5% | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))) |
| ✓ | 50.0% | (+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) |
| ✓ | 50.0% | (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
| 77.4% | (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) | |
| ✓ | 50.6% | #s(literal 1 binary64) |
Compiled 358 to 141 computations (60.6% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -3 binary64) x) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) |
(/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 x x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) |
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64)))) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) |
(/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))) |
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (fma.f64 x x #s(literal 0 binary64)))) x) |
(fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64)) |
| Outputs |
|---|
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (fma.f64 x x #s(literal 0 binary64)))) x) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) |
2 calls:
| 7.0ms | x |
| 5.0ms | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 3 | x |
| 100.0% | 2 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
Compiled 16 to 8 computations (50% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -3 binary64) x) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) |
(/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 x x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) |
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64)))) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) |
(/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))) |
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64))))) |
| Outputs |
|---|
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64)))) x) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) |
1 calls:
| 5.0ms | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 2 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
Compiled 14 to 7 computations (50% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -3 binary64) x) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) |
(/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 x x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) |
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) |
1 calls:
| 4.0ms | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 2 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
Compiled 14 to 7 computations (50% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -3 binary64) x) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) |
(/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 x x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
| Outputs |
|---|
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
1 calls:
| 3.0ms | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 2 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
Compiled 14 to 7 computations (50% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -3 binary64) x) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) |
(/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 x x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
| Outputs |
|---|
(/.f64 #s(literal -3 binary64) x) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
1 calls:
| 5.0ms | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 2 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
Compiled 14 to 7 computations (50% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -3 binary64) x) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) |
(/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 x x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
| Outputs |
|---|
(/.f64 #s(literal -3 binary64) x) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
1 calls:
| 3.0ms | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 2 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
Compiled 14 to 7 computations (50% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -3 binary64) x) |
| Outputs |
|---|
(/.f64 #s(literal -3 binary64) x) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
1 calls:
| 2.0ms | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 2 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
Compiled 14 to 7 computations (50% saved)
Total -0.7b remaining (-2.3%)
Threshold costs -0.7b (-2.3%)
| Inputs |
|---|
#s(literal 1 binary64) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(literal 1 binary64) |
2 calls:
| 2.0ms | x |
| 2.0ms | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.6% | 1 | x |
| 50.6% | 1 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
Compiled 16 to 8 computations (50% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.00020101740908362586 |
Compiled 17 to 11 computations (35.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.00020101740908362586 |
Compiled 17 to 11 computations (35.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.00020101740908362586 |
Compiled 17 to 11 computations (35.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.00020101740908362586 |
Compiled 17 to 11 computations (35.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.00020101740908362586 |
Compiled 17 to 11 computations (35.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.002005929696595743 | 0.3325821174679998 |
Compiled 17 to 11 computations (35.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.002005929696595743 | 0.3325821174679998 |
Compiled 17 to 11 computations (35.3% saved)
| 1× | egg-herbie |
| 30× | +-commutative_binary64 |
| 20× | sub-neg_binary64 |
| 14× | *-commutative_binary64 |
| 12× | neg-sub0_binary64 |
| 12× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 230 |
| 1 | 61 | 230 |
| 2 | 75 | 230 |
| 3 | 95 | 230 |
| 4 | 106 | 230 |
| 5 | 109 | 230 |
| 6 | 110 | 230 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (fma.f64 x x #s(literal 0 binary64)))) x) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64)))) x) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) (/.f64 #s(literal -3 binary64) x) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1152921504606847/288230376151711744 binary64)) (/.f64 #s(literal -3 binary64) x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1152921504606847/288230376151711744 binary64)) (/.f64 #s(literal -3 binary64) x) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
| Outputs |
|---|
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (fma.f64 x x #s(literal 0 binary64)))) x) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(if (<=.f64 (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 0 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (fma.f64 x x #s(literal 0 binary64)))) x) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64)))) x) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(if (<=.f64 (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 0 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64)))) x) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(if (<=.f64 (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 0 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(if (<=.f64 (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 0 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) (/.f64 #s(literal -3 binary64) x) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(if (<=.f64 (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 0 binary64)) (/.f64 #s(literal -3 binary64) x) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1152921504606847/288230376151711744 binary64)) (/.f64 #s(literal -3 binary64) x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
(if (<=.f64 (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 1152921504606847/288230376151711744 binary64)) (/.f64 #s(literal -3 binary64) x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1152921504606847/288230376151711744 binary64)) (/.f64 #s(literal -3 binary64) x) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))) |
(if (<=.f64 (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 1152921504606847/288230376151711744 binary64)) (/.f64 #s(literal -3 binary64) x) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
| 11 922× | accelerator-lowering-fma.f32 |
| 11 922× | accelerator-lowering-fma.f64 |
| 10 284× | accelerator-lowering-fma.f32 |
| 10 284× | accelerator-lowering-fma.f64 |
| 9 608× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 106 |
| 1 | 202 | 102 |
| 2 | 1924 | 102 |
| 0 | 8264 | 95 |
| 0 | 95 | 332 |
| 1 | 262 | 322 |
| 2 | 585 | 310 |
| 3 | 1504 | 292 |
| 4 | 3719 | 290 |
| 5 | 6658 | 290 |
| 0 | 8041 | 279 |
| 0 | 167 | 1475 |
| 1 | 473 | 1433 |
| 2 | 1316 | 1312 |
| 3 | 5352 | 1305 |
| 0 | 8451 | 1219 |
| 0 | 7 | 28 |
| 1 | 62 | 28 |
| 2 | 699 | 28 |
| 0 | 8523 | 28 |
| 0 | 154 | 1141 |
| 1 | 461 | 1085 |
| 2 | 1183 | 1057 |
| 3 | 5042 | 1026 |
| 0 | 8477 | 966 |
| 0 | 16 | 57 |
| 1 | 99 | 57 |
| 2 | 867 | 57 |
| 0 | 8701 | 48 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 359 to 131 computations (63.5% saved)
Compiled 490 to 106 computations (78.4% saved)
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