Asymptote C
Time bar (total: 8.0s)
| 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)
| 267.0ms | 2 475× | 1 | valid |
| 238.0ms | 1 527× | 2 | valid |
| 217.0ms | 4 254× | 0 | valid |
ival-div: 217.0ms (41.2% of total)ival-sub: 129.0ms (24.5% of total)adjust: 91.0ms (17.3% of total)ival-add: 75.0ms (14.2% of total)exact: 6.0ms (1.1% of total)ival-true: 6.0ms (1.1% of total)ival-assert: 3.0ms (0.6% of total)| 1× | egg-herbie |
| 640× | accelerator-lowering-fma.f32 |
| 640× | accelerator-lowering-fma.f64 |
| 256× | *-lowering-*.f32 |
| 256× | *-lowering-*.f64 |
| 194× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 35 |
| 1 | 23 | 31 |
| 2 | 62 | 27 |
| 3 | 178 | 26 |
| 4 | 414 | 26 |
| 5 | 853 | 26 |
| 6 | 1181 | 26 |
| 7 | 1340 | 26 |
| 8 | 1418 | 26 |
| 9 | 1428 | 26 |
| 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)))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 126 | 0 | - | 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 | 126 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 126 | 0 |
| - | 0 | 130 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 126 | 0 | 0 |
| - | 0 | 0 | 130 |
| number | freq |
|---|---|
| 0 | 130 |
| 1 | 126 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 19.0ms | 102× | 2 | valid |
| 16.0ms | 148× | 1 | valid |
| 14.0ms | 262× | 0 | valid |
Compiled 98 to 32 computations (67.3% saved)
ival-div: 13.0ms (40.3% of total)ival-sub: 8.0ms (24.8% of total)adjust: 6.0ms (18.6% of total)ival-add: 4.0ms (12.4% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.1% | (-.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 | 54.1% | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| 13.0ms | 51× | 2 | valid |
| 10.0ms | 74× | 1 | valid |
| 9.0ms | 131× | 0 | valid |
Compiled 35 to 9 computations (74.3% saved)
ival-div: 13.0ms (54.7% of total)ival-sub: 5.0ms (21% of total)adjust: 3.0ms (12.6% of total)ival-add: 2.0ms (8.4% of total)exact: 0.0ms (0% of total)ival-assert: 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 | @ | 0 | (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) |
| 0.0ms | x | @ | -inf | (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) |
| 0.0ms | x | @ | inf | (+ x 1) |
| 0.0ms | x | @ | 0 | (/ (+ 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 (neg.f64 x) #s(literal 1 binary64)))) |
(+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.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 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.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 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) (/.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (*.f64 (neg.f64 x) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (*.f64 (neg.f64 x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (/.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) |
(-.f64 (/.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 (neg.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 (neg.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 (neg.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 (neg.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 (neg.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 (neg.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 (neg.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (+.f64 (neg.f64 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 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.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 (neg.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 (neg.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 (neg.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 (neg.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)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.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 x #s(literal -1 binary64)))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.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) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) |
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(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #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 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 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (+.f64 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 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 (+.f64 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 (*.f64 x x) #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))) |
(*.f64 (/.f64 (+.f64 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 (+.f64 x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(*.f64 (/.f64 (+.f64 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)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(-.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 (neg.f64 x) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (*.f64 x x) (*.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 x #s(literal -1 binary64))))) |
(neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 x #s(literal -1 binary64))) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (*.f64 (fma.f64 x (*.f64 x 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 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.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 x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (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 (neg.f64 x) #s(literal -1 binary64))) (neg.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.f64 #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 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)) (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.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 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x 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 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x (+.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(*.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 (fma.f64 x x #s(literal -1 binary64)) (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)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (/.f64 #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 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x 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 (+.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 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (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 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(*.f64 (/.f64 (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 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 (+.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 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.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 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 (+.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 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)))))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #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) |
(*.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(/ -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)) |
(*.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
x |
(* x (+ 1 (* -1 x))) |
(-.f64 x (*.f64 x x)) |
(* x (+ 1 (* x (- x 1)))) |
(fma.f64 x (-.f64 (*.f64 x x) x) x) |
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))) |
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #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 11 985 to 1 230 computations (89.7% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 427 | 10 | 437 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 427 | 11 | 438 |
| Status | Accuracy | Program |
|---|---|---|
| 52.4% | (fma.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) | |
| ▶ | 50.8% | (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
| 50.3% | (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) | |
| ▶ | 54.7% | (/.f64 (+.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) x)) (+.f64 x #s(literal -1 binary64))) |
| 50.6% | (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) | |
| ▶ | 49.7% | (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
| 50.7% | (/.f64 #s(literal -3 binary64) x) | |
| 50.2% | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal -1 binary64))) | |
| ✓ | 54.1% | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| ▶ | 50.4% | (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
| ▶ | 50.3% | #s(literal 1 binary64) |
Compiled 230 to 141 computations (38.7% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
| ✓ | cost-diff | 0 | (fma.f64 x x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #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 | (neg.f64 x) |
| ✓ | cost-diff | 128 | (+.f64 (neg.f64 x) #s(literal -1 binary64)) |
| ✓ | cost-diff | 128 | (+.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) x)) |
| ✓ | cost-diff | 384 | (/.f64 (+.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) x)) (+.f64 x #s(literal -1 binary64))) |
| 14 704× | accelerator-lowering-fma.f32 |
| 14 704× | accelerator-lowering-fma.f64 |
| 3 120× | *-lowering-*.f32 |
| 3 120× | *-lowering-*.f64 |
| 1 542× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 119 |
| 1 | 53 | 116 |
| 2 | 106 | 116 |
| 3 | 227 | 116 |
| 4 | 469 | 116 |
| 5 | 908 | 112 |
| 6 | 2023 | 112 |
| 7 | 4796 | 112 |
| 8 | 6982 | 112 |
| 0 | 8085 | 106 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (+ (neg x) -1) (* (/ (+ x -1) (+ x 1)) x)) (+ x -1)) |
(+ (+ (neg x) -1) (* (/ (+ x -1) (+ x 1)) x)) |
(+ (neg x) -1) |
(neg x) |
x |
-1 |
(* (/ (+ x -1) (+ x 1)) x) |
(/ (+ x -1) (+ x 1)) |
(+ x -1) |
(+ x 1) |
1 |
1 |
(+ (* x (+ 3 x)) 1) |
x |
(+ 3 x) |
3 |
1 |
(* (+ (* 3 x) 1) (+ (* x x) 1)) |
(+ (* 3 x) 1) |
3 |
x |
1 |
(+ (* x x) 1) |
(/ (+ -3 (/ -1 x)) x) |
(+ -3 (/ -1 x)) |
-3 |
(/ -1 x) |
-1 |
x |
| Outputs |
|---|
(/ (+ (+ (neg x) -1) (* (/ (+ x -1) (+ x 1)) x)) (+ x -1)) |
(+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) |
(+ (+ (neg x) -1) (* (/ (+ x -1) (+ x 1)) x)) |
(fma.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x)) |
(+ (neg x) -1) |
(-.f64 #s(literal -1 binary64) x) |
(neg x) |
(neg.f64 x) |
x |
-1 |
#s(literal -1 binary64) |
(* (/ (+ x -1) (+ x 1)) x) |
(/.f64 (fma.f64 x x (neg.f64 x)) (+.f64 x #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)) |
(+ 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) |
(* (+ (* 3 x) 1) (+ (* x x) 1)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(+ (* 3 x) 1) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
3 |
#s(literal 3 binary64) |
x |
1 |
#s(literal 1 binary64) |
(+ (* x x) 1) |
(fma.f64 x x #s(literal 1 binary64)) |
(/ (+ -3 (/ -1 x)) x) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
(+ -3 (/ -1 x)) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
-3 |
#s(literal -3 binary64) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
-1 |
#s(literal -1 binary64) |
x |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -1 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
| ✓ | accuracy | 99.9% | (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) 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 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 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 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) x) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) x)) (+.f64 x #s(literal -1 binary64))) |
| ✓ | accuracy | 53.5% | (+.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) x)) |
| 40.0ms | 114× | 1 | valid |
| 36.0ms | 132× | 0 | valid |
| 4.0ms | 10× | 2 | valid |
Compiled 116 to 26 computations (77.6% saved)
ival-div: 25.0ms (40.2% of total)ival-add: 14.0ms (22.5% of total)adjust: 10.0ms (16.1% of total)ival-mult: 10.0ms (16.1% of total)ival-neg: 2.0ms (3.2% 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 (/ (+ (+ (neg x) -1) (* (/ (+ x -1) (+ x 1)) x)) (+ x -1))> |
#<alt (+ (+ (neg x) -1) (* (/ (+ x -1) (+ x 1)) x))> |
#<alt (+ (neg x) -1)> |
#<alt (neg x)> |
#<alt (+ (* x (+ 3 x)) 1)> |
#<alt (+ 3 x)> |
#<alt (* (+ (* 3 x) 1) (+ (* x x) 1))> |
#<alt (+ (* 3 x) 1)> |
#<alt (+ (* x x) 1)> |
#<alt (/ (+ -3 (/ -1 x)) x)> |
#<alt (+ -3 (/ -1 x))> |
#<alt (/ -1 x)> |
#<alt (/ (+ x -1) (+ x 1))> |
#<alt (* (/ (+ x -1) (+ x 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> |
#<alt (- (* -2 x) 1)> |
#<alt (- (* x (- (* 2 x) 2)) 1)> |
#<alt (- (* x (- (* x (+ 2 (* -2 x))) 2)) 1)> |
#<alt -3> |
#<alt (- (* 2 (/ 1 x)) 3)> |
#<alt (- (* 2 (/ 1 x)) (+ 3 (/ 2 (pow x 2))))> |
#<alt (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 3 (/ 2 (pow x 2))))> |
#<alt -3> |
#<alt (- (* 2 (/ 1 x)) 3)> |
#<alt (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 3)> |
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 3)> |
#<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 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt 1> |
#<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 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 (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 (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 x)> |
#<alt (/ (- (* -3 x) 1) x)> |
#<alt (/ (- (* -3 x) 1) x)> |
#<alt (/ (- (* -3 x) 1) x)> |
#<alt -3> |
#<alt (* -1 (+ 3 (/ 1 x)))> |
#<alt (* -1 (+ 3 (/ 1 x)))> |
#<alt (* -1 (+ 3 (/ 1 x)))> |
#<alt -3> |
#<alt (* -1 (+ 3 (/ 1 x)))> |
#<alt (* -1 (+ 3 (/ 1 x)))> |
#<alt (* -1 (+ 3 (/ 1 x)))> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt -1> |
#<alt (- (* 2 x) 1)> |
#<alt (- (* x (+ 2 (* -2 x))) 1)> |
#<alt (- (* x (+ 2 (* x (- (* 2 x) 2)))) 1)> |
#<alt 1> |
#<alt (- 1 (* 2 (/ 1 x)))> |
#<alt (- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x)))> |
#<alt (- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))))> |
#<alt 1> |
#<alt (- 1 (* 2 (/ 1 x)))> |
#<alt (+ 1 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))> |
#<alt (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))> |
#<alt (* -1 x)> |
#<alt (* x (- (* 2 x) 1))> |
#<alt (* x (- (* x (+ 2 (* -2 x))) 1))> |
#<alt (* x (- (* x (+ 2 (* x (- (* 2 x) 2)))) 1))> |
#<alt x> |
#<alt (* x (- 1 (* 2 (/ 1 x))))> |
#<alt (* x (- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x))))> |
#<alt (* x (- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 2 (/ 1 x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))> |
42 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (+ (* x (+ 3 x)) 1) |
| 0.0ms | x | @ | 0 | (/ (+ -3 (/ -1 x)) x) |
| 0.0ms | x | @ | -inf | (/ (+ -3 (/ -1 x)) x) |
| 0.0ms | x | @ | inf | (/ (+ -3 (/ -1 x)) x) |
| 0.0ms | x | @ | 0 | (/ -1 x) |
| 1× | batch-egg-rewrite |
| 4 684× | /-lowering-/.f32 |
| 4 684× | /-lowering-/.f64 |
| 4 308× | accelerator-lowering-fma.f32 |
| 4 308× | accelerator-lowering-fma.f64 |
| 4 226× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 100 |
| 1 | 174 | 97 |
| 2 | 1626 | 97 |
| 0 | 8240 | 90 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (+ (neg x) -1) (* (/ (+ x -1) (+ x 1)) x)) (+ x -1)) |
(+ (+ (neg x) -1) (* (/ (+ x -1) (+ x 1)) x)) |
(+ (neg x) -1) |
(neg x) |
(+ (* x (+ 3 x)) 1) |
(+ 3 x) |
(* (+ (* 3 x) 1) (+ (* x x) 1)) |
(+ (* 3 x) 1) |
(+ (* x x) 1) |
(/ (+ -3 (/ -1 x)) x) |
(+ -3 (/ -1 x)) |
(/ -1 x) |
(/ (+ x -1) (+ x 1)) |
(* (/ (+ x -1) (+ x 1)) x) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (-.f64 x (fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))) |
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(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 x (-.f64 #s(literal -1 binary64) x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 (neg.f64 (neg.f64 x)) (-.f64 #s(literal -1 binary64) x))) |
(-.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 #s(literal -1 binary64) x)) (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) |
(neg.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) 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 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (+.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 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (-.f64 #s(literal -1 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (neg.f64 (-.f64 #s(literal -1 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) |
(pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (+.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 (neg.f64 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 (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #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 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(*.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 x (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 x) (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) x)) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) (-.f64 #s(literal -1 binary64) x)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))) (neg.f64 (-.f64 #s(literal -1 binary64) x))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 #s(literal -1 binary64) x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (neg.f64 (-.f64 #s(literal -1 binary64) x))) |
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64)) |
(*.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) x)) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) x) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) |
(*.f64 (-.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (*.f64 x (+.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 (+.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 x (/.f64 #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 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 (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 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
(*.f64 (/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (/.f64 x (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) |
| 1× | egg-herbie |
| 14 982× | accelerator-lowering-fma.f32 |
| 14 982× | accelerator-lowering-fma.f64 |
| 3 756× | *-lowering-*.f32 |
| 3 756× | *-lowering-*.f64 |
| 3 014× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 140 | 983 |
| 1 | 420 | 916 |
| 2 | 1148 | 873 |
| 3 | 4070 | 869 |
| 0 | 8237 | 802 |
| 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 |
(- (* -2 x) 1) |
(- (* x (- (* 2 x) 2)) 1) |
(- (* x (- (* x (+ 2 (* -2 x))) 2)) 1) |
-3 |
(- (* 2 (/ 1 x)) 3) |
(- (* 2 (/ 1 x)) (+ 3 (/ 2 (pow x 2)))) |
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 3 (/ 2 (pow x 2)))) |
-3 |
(- (* 2 (/ 1 x)) 3) |
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 3) |
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 3) |
-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 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -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))) |
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 (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 (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 x) |
(/ (- (* -3 x) 1) x) |
(/ (- (* -3 x) 1) x) |
(/ (- (* -3 x) 1) x) |
-3 |
(* -1 (+ 3 (/ 1 x))) |
(* -1 (+ 3 (/ 1 x))) |
(* -1 (+ 3 (/ 1 x))) |
-3 |
(* -1 (+ 3 (/ 1 x))) |
(* -1 (+ 3 (/ 1 x))) |
(* -1 (+ 3 (/ 1 x))) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
-1 |
(- (* 2 x) 1) |
(- (* x (+ 2 (* -2 x))) 1) |
(- (* x (+ 2 (* x (- (* 2 x) 2)))) 1) |
1 |
(- 1 (* 2 (/ 1 x))) |
(- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x))) |
(- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) |
1 |
(- 1 (* 2 (/ 1 x))) |
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))) |
(* -1 x) |
(* x (- (* 2 x) 1)) |
(* x (- (* x (+ 2 (* -2 x))) 1)) |
(* x (- (* x (+ 2 (* x (- (* 2 x) 2)))) 1)) |
x |
(* x (- 1 (* 2 (/ 1 x)))) |
(* x (- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x)))) |
(* x (- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))))) |
x |
(* -1 (* x (- (* 2 (/ 1 x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1))) |
| 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 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x 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 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (neg.f64 x)) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(*.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) (+.f64 x (/.f64 #s(literal 1 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)) (*.f64 x x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (neg.f64 x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(*.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) (+.f64 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 (* -2 x))) 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)) |
-3 |
#s(literal -3 binary64) |
(- (* 2 (/ 1 x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (* 2 (/ 1 x)) (+ 3 (/ 2 (pow x 2)))) |
(+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) |
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 3 (/ 2 (pow x 2)))) |
(-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) x)) |
-3 |
#s(literal -3 binary64) |
(- (* 2 (/ 1 x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) |
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 3) |
(-.f64 #s(literal -3 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) 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) |
(neg.f64 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) |
(neg.f64 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) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 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))) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 3 binary64) x)) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 3 binary64) x)) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (+.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) |
(+.f64 #s(literal 3 binary64) x) |
(+ 3 x) |
(+.f64 #s(literal 3 binary64) x) |
x |
(* x (+ 1 (* 3 (/ 1 x)))) |
(+.f64 #s(literal 3 binary64) x) |
(* x (+ 1 (* 3 (/ 1 x)))) |
(+.f64 #s(literal 3 binary64) x) |
(* x (+ 1 (* 3 (/ 1 x)))) |
(+.f64 #s(literal 3 binary64) x) |
x |
(* x (+ 1 (* 3 (/ 1 x)))) |
(+.f64 #s(literal 3 binary64) x) |
(* x (+ 1 (* 3 (/ 1 x)))) |
(+.f64 #s(literal 3 binary64) x) |
(* x (+ 1 (* 3 (/ 1 x)))) |
(+.f64 #s(literal 3 binary64) 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 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x 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 (fma.f64 #s(literal 3 binary64) (*.f64 x x) x)) |
(* (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 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x 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 (fma.f64 #s(literal 3 binary64) (*.f64 x x) x)) |
(* -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 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x 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 (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 (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 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (* -3 x) 1) x) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/ (- (* -3 x) 1) x) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/ (- (* -3 x) 1) x) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
-3 |
#s(literal -3 binary64) |
(* -1 (+ 3 (/ 1 x))) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
(* -1 (+ 3 (/ 1 x))) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
(* -1 (+ 3 (/ 1 x))) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
-3 |
#s(literal -3 binary64) |
(* -1 (+ 3 (/ 1 x))) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
(* -1 (+ 3 (/ 1 x))) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
(* -1 (+ 3 (/ 1 x))) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -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 (* -2 x))) 1) |
(fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(- (* x (+ 2 (* x (- (* 2 x) 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 (pow x 2))) (* 2 (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) |
(- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) |
(+.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 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) 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 x) |
(neg.f64 x) |
(* x (- (* 2 x) 1)) |
(*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))) |
(* x (- (* x (+ 2 (* -2 x))) 1)) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(* x (- (* x (+ 2 (* x (- (* 2 x) 2)))) 1)) |
(*.f64 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))) |
x |
(* x (- 1 (* 2 (/ 1 x)))) |
(+.f64 x #s(literal -2 binary64)) |
(* x (- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x)))) |
(+.f64 x (fma.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))) |
(* x (- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))))) |
(+.f64 x (+.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(literal -2 binary64))) |
x |
(* -1 (* x (- (* 2 (/ 1 x)) 1))) |
(+.f64 x #s(literal -2 binary64)) |
(* -1 (* x (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1))) |
(+.f64 x (fma.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1))) |
(+.f64 x (+.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(literal -2 binary64))) |
Compiled 27 792 to 2 781 computations (90% saved)
16 alts after pruning (12 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 948 | 11 | 959 |
| Fresh | 4 | 1 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 954 | 16 | 970 |
| Status | Accuracy | Program |
|---|---|---|
| 50.2% | (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| ✓ | 50.8% | (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
| ▶ | 50.7% | (fma.f64 x #s(literal 3 binary64) (fma.f64 x x #s(literal 1 binary64))) |
| 50.3% | (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) | |
| 54.1% | (/.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) x (-.f64 #s(literal -1 binary64) x)) (+.f64 x #s(literal -1 binary64))) | |
| 50.6% | (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (neg.f64 x)) | |
| ▶ | 25.3% | (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
| 50.9% | (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) (+.f64 x #s(literal -1 binary64))) | |
| ▶ | 54.1% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x)))) |
| 3.5% | (/.f64 #s(literal -1 binary64) (*.f64 x x)) | |
| 50.7% | (/.f64 #s(literal -3 binary64) x) | |
| ✓ | 54.1% | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| ✓ | 50.4% | (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
| ▶ | 3.2% | (*.f64 x (+.f64 #s(literal 3 binary64) x)) |
| ▶ | 3.4% | (*.f64 x x) |
| ✓ | 50.3% | #s(literal 1 binary64) |
Compiled 267 to 162 computations (39.3% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.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 | (fma.f64 x x #s(literal 1 binary64)) |
| ✓ | cost-diff | 192 | (fma.f64 x #s(literal 3 binary64) (fma.f64 x x #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 3 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 3 binary64) x)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x)) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x))) |
| ✓ | cost-diff | 1088 | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x)))) |
| 31 096× | accelerator-lowering-fma.f32 |
| 31 096× | accelerator-lowering-fma.f64 |
| 3 348× | *-lowering-*.f32 |
| 3 348× | *-lowering-*.f64 |
| 1 796× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 115 |
| 1 | 48 | 115 |
| 2 | 84 | 113 |
| 3 | 258 | 111 |
| 4 | 747 | 109 |
| 5 | 1736 | 109 |
| 6 | 6302 | 109 |
| 0 | 8224 | 103 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (/ (+ x -1) (+ (* (+ x -1) (/ x (+ x 1))) (- -1 x)))) |
1 |
(/ (+ x -1) (+ (* (+ x -1) (/ x (+ x 1))) (- -1 x))) |
(+ x -1) |
x |
-1 |
(+ (* (+ x -1) (/ x (+ x 1))) (- -1 x)) |
(/ x (+ x 1)) |
(+ x 1) |
(- -1 x) |
(* x x) |
x |
(* x (+ 3 x)) |
x |
(+ 3 x) |
3 |
(+ (* x 3) (+ (* x x) 1)) |
x |
3 |
(+ (* x x) 1) |
1 |
(/ (+ (* x -3) -1) (* x x)) |
(+ (* x -3) -1) |
x |
-3 |
-1 |
(* x x) |
| Outputs |
|---|
(/ 1 (/ (+ x -1) (+ (* (+ x -1) (/ x (+ x 1))) (- -1 x)))) |
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
1 |
#s(literal 1 binary64) |
(/ (+ x -1) (+ (* (+ x -1) (/ x (+ x 1))) (- -1 x))) |
(/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x)) |
(+ x -1) |
(+.f64 x #s(literal -1 binary64)) |
x |
-1 |
#s(literal -1 binary64) |
(+ (* (+ x -1) (/ x (+ x 1))) (- -1 x)) |
(-.f64 (fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x) |
(/ x (+ x 1)) |
(/.f64 x (+.f64 #s(literal 1 binary64) x)) |
(+ x 1) |
(+.f64 #s(literal 1 binary64) x) |
(- -1 x) |
(-.f64 #s(literal -1 binary64) x) |
(* x x) |
(*.f64 x x) |
x |
(* x (+ 3 x)) |
(*.f64 x (+.f64 x #s(literal 3 binary64))) |
x |
(+ 3 x) |
(+.f64 x #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
(+ (* x 3) (+ (* x x) 1)) |
(fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
x |
3 |
#s(literal 3 binary64) |
(+ (* x x) 1) |
(fma.f64 x x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(/ (+ (* x -3) -1) (* x x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x 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) |
(*.f64 x x) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 75.4% | (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (fma.f64 x x #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal 3 binary64) (fma.f64 x x #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 3 binary64) x) |
| ✓ | accuracy | 99.9% | (*.f64 x (+.f64 #s(literal 3 binary64) x)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (/.f64 x (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x))) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x)))) |
| ✓ | accuracy | 53.0% | (fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x)) |
| 37.0ms | 118× | 1 | valid |
| 17.0ms | 122× | 0 | valid |
| 7.0ms | 16× | 2 | valid |
Compiled 111 to 24 computations (78.4% saved)
ival-add: 11.0ms (28.2% of total)ival-mult: 10.0ms (25.6% of total)ival-div: 9.0ms (23.1% of total)adjust: 6.0ms (15.4% of total)ival-sub: 2.0ms (5.1% of total)exact: 1.0ms (2.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 (/ (+ x -1) (+ (* (+ x -1) (/ x (+ x 1))) (- -1 x))))> |
#<alt (/ (+ x -1) (+ (* (+ x -1) (/ x (+ x 1))) (- -1 x)))> |
#<alt (+ x -1)> |
#<alt (+ (* (+ x -1) (/ x (+ x 1))) (- -1 x))> |
#<alt (* x x)> |
#<alt (* x (+ 3 x))> |
#<alt (+ 3 x)> |
#<alt (+ (* x 3) (+ (* x x) 1))> |
#<alt (+ (* x x) 1)> |
#<alt (/ (+ (* x -3) -1) (* x x))> |
#<alt (+ (* x -3) -1)> |
#<alt (/ x (+ 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 1> |
#<alt (+ 1 (* -3 x))> |
#<alt (+ 1 (* x (- (* 8 x) 3)))> |
#<alt (+ 1 (* x (- (* x (+ 8 (* -24 x))) 3)))> |
#<alt (* -1/3 x)> |
#<alt (* x (- (* 1/9 (/ 1 x)) 1/3))> |
#<alt (* x (- (+ (/ 8/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3))> |
#<alt (* x (- (+ (/ 8/27 (pow x 2)) (* 1/9 (/ 1 x))) (+ 1/3 (* 8/81 (/ 1 (pow x 3))))))> |
#<alt (* -1/3 x)> |
#<alt (* -1 (* x (- 1/3 (* 1/9 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* 8/27 (/ 1 x))) x)))))> |
#<alt (* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* -1 (/ (- (* 8/81 (/ 1 x)) 8/27) x))) x)))))> |
#<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 (- (* -2 x) 1)> |
#<alt (- (* x (- (* 2 x) 2)) 1)> |
#<alt (- (* x (- (* x (+ 2 (* -2 x))) 2)) 1)> |
#<alt -3> |
#<alt (- (* 2 (/ 1 x)) 3)> |
#<alt (- (* 2 (/ 1 x)) (+ 3 (/ 2 (pow x 2))))> |
#<alt (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 3 (/ 2 (pow x 2))))> |
#<alt -3> |
#<alt (- (* 2 (/ 1 x)) 3)> |
#<alt (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 3)> |
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 3)> |
#<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 (* 3 x)> |
#<alt (* x (+ 3 x))> |
#<alt (* x (+ 3 x))> |
#<alt (* x (+ 3 x))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))> |
#<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)))> |
#<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 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 (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 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)))> |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/ (+ x -1) (+ (* (+ x -1) (/ x (+ x 1))) (- -1 x))) |
| 0.0ms | x | @ | 0 | (/ (+ (* x -3) -1) (* x x)) |
| 0.0ms | x | @ | -inf | (/ (+ (* x -3) -1) (* x x)) |
| 0.0ms | x | @ | inf | (/ (+ x -1) (+ (* (+ x -1) (/ x (+ x 1))) (- -1 x))) |
| 0.0ms | x | @ | inf | (/ (+ (* x -3) -1) (* x x)) |
| 1× | batch-egg-rewrite |
| 5 058× | /-lowering-/.f32 |
| 5 058× | /-lowering-/.f64 |
| 4 026× | *-lowering-*.f32 |
| 4 026× | *-lowering-*.f64 |
| 2 908× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 94 |
| 1 | 160 | 92 |
| 2 | 1504 | 92 |
| 0 | 8361 | 85 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (/ (+ x -1) (+ (* (+ x -1) (/ x (+ x 1))) (- -1 x)))) |
(/ (+ x -1) (+ (* (+ x -1) (/ x (+ x 1))) (- -1 x))) |
(+ x -1) |
(+ (* (+ x -1) (/ x (+ x 1))) (- -1 x)) |
(* x x) |
(* x (+ 3 x)) |
(+ 3 x) |
(+ (* x 3) (+ (* x x) 1)) |
(+ (* x x) 1) |
(/ (+ (* x -3) -1) (* x x)) |
(+ (* x -3) -1) |
(/ x (+ x 1)) |
| Outputs |
|---|
(+.f64 (*.f64 (/.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) x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x)) (*.f64 (/.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) x)))) |
(+.f64 (*.f64 (/.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(+.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (+.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 (-.f64 x (/.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64)))) |
(-.f64 (/.f64 (/.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) x) (+.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x))) (+.f64 x #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.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) x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (/.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x)))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (/.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x))))) |
(fma.f64 (/.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 x (+.f64 x #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) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x) (*.f64 (/.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) x)))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x))) |
(/.f64 (-.f64 (fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 (fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (-.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) x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (/.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x))) |
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(neg.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x (neg.f64 x)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (/.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x (/.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (/.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (/.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) x)))) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(/.f64 (neg.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (*.f64 x (neg.f64 x))) |
(/.f64 (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)))) |
(/.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) x) x) |
(/.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) (*.f64 x x))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 x x))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64))) (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) (neg.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) x)) (neg.f64 x)) |
(/.f64 (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 x x)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))))) (neg.f64 (neg.f64 (*.f64 x (neg.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) x))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 x (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)))) |
(pow.f64 (*.f64 x (/.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x (/.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.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)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (neg.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) x)) |
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)))) |
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -3 binary64))) |
(+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -1 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal -3 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal -3 binary64))))) |
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64))))) |
(/.f64 (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) |
(/.f64 (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 x #s(literal 3 binary64))))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 x #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal -3 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal -3 binary64))))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 x (-.f64 #s(literal -1 binary64) x))) |
(neg.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x))) |
(neg.f64 (/.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) |
(/.f64 x (+.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) x)) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 #s(literal -1 binary64) x))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (-.f64 #s(literal -1 binary64) x)))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) |
(*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) |
| 1× | egg-herbie |
| 12 218× | accelerator-lowering-fma.f32 |
| 12 218× | accelerator-lowering-fma.f64 |
| 3 404× | *-lowering-*.f32 |
| 3 404× | *-lowering-*.f64 |
| 2 900× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 162 | 815 |
| 1 | 473 | 796 |
| 2 | 1183 | 764 |
| 3 | 3227 | 742 |
| 4 | 7798 | 742 |
| 0 | 8191 | 693 |
| 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 |
(+ 1 (* -3 x)) |
(+ 1 (* x (- (* 8 x) 3))) |
(+ 1 (* x (- (* x (+ 8 (* -24 x))) 3))) |
(* -1/3 x) |
(* x (- (* 1/9 (/ 1 x)) 1/3)) |
(* x (- (+ (/ 8/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3)) |
(* x (- (+ (/ 8/27 (pow x 2)) (* 1/9 (/ 1 x))) (+ 1/3 (* 8/81 (/ 1 (pow x 3)))))) |
(* -1/3 x) |
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x))))) |
(* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* 8/27 (/ 1 x))) x))))) |
(* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* -1 (/ (- (* 8/81 (/ 1 x)) 8/27) x))) x))))) |
-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 |
(- (* -2 x) 1) |
(- (* x (- (* 2 x) 2)) 1) |
(- (* x (- (* x (+ 2 (* -2 x))) 2)) 1) |
-3 |
(- (* 2 (/ 1 x)) 3) |
(- (* 2 (/ 1 x)) (+ 3 (/ 2 (pow x 2)))) |
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 3 (/ 2 (pow x 2)))) |
-3 |
(- (* 2 (/ 1 x)) 3) |
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 3) |
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 3) |
(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) |
(* 3 x) |
(* x (+ 3 x)) |
(* x (+ 3 x)) |
(* x (+ 3 x)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
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))) |
(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))))) |
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 (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)))) |
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))) |
| 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 (-.f64 #s(literal -3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3 binary64) x))) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(*.f64 (/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #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) (/ 3 (pow x 2)))) x)) |
(/.f64 (-.f64 #s(literal -3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3 binary64) x))) x) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(*.f64 (/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -3 x)) |
(fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (- (* 8 x) 3))) |
(fma.f64 x (fma.f64 x #s(literal 8 binary64) #s(literal -3 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 8 (* -24 x))) 3))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -24 binary64) #s(literal 8 binary64)) #s(literal -3 binary64)) #s(literal 1 binary64)) |
(* -1/3 x) |
(*.f64 x #s(literal -1/3 binary64)) |
(* x (- (* 1/9 (/ 1 x)) 1/3)) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) |
(* x (- (+ (/ 8/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3)) |
(+.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/3 binary64) (/.f64 #s(literal 8/27 binary64) x))) |
(* x (- (+ (/ 8/27 (pow x 2)) (* 1/9 (/ 1 x))) (+ 1/3 (* 8/81 (/ 1 (pow x 3)))))) |
(+.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) (/.f64 (-.f64 #s(literal 8/27 binary64) (/.f64 #s(literal 8/81 binary64) x)) x)) |
(* -1/3 x) |
(*.f64 x #s(literal -1/3 binary64)) |
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x))))) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) |
(* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* 8/27 (/ 1 x))) x))))) |
(+.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/3 binary64) (/.f64 #s(literal 8/27 binary64) x))) |
(* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* -1 (/ (- (* 8/81 (/ 1 x)) 8/27) x))) x))))) |
(+.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) (/.f64 (-.f64 #s(literal 8/27 binary64) (/.f64 #s(literal 8/81 binary64) x)) x)) |
-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) |
(- (* -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 (* -2 x))) 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)) |
-3 |
#s(literal -3 binary64) |
(- (* 2 (/ 1 x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (* 2 (/ 1 x)) (+ 3 (/ 2 (pow x 2)))) |
(+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) |
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 3 (/ 2 (pow x 2)))) |
(+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)) |
-3 |
#s(literal -3 binary64) |
(- (* 2 (/ 1 x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) |
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) 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) |
(pow x 2) |
(*.f64 x x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 x)) |
(*.f64 x (+.f64 #s(literal 3 binary64) x)) |
(* x (+ 3 x)) |
(*.f64 x (+.f64 #s(literal 3 binary64) x)) |
(* x (+ 3 x)) |
(*.f64 x (+.f64 #s(literal 3 binary64) x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 3 binary64) x)) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 3 binary64) x)) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 3 binary64) x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 3 binary64) x)) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 3 binary64) x)) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 3 binary64) x)) |
3 |
#s(literal 3 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) |
x |
(* x (+ 1 (* 3 (/ 1 x)))) |
(+.f64 #s(literal 3 binary64) x) |
(* x (+ 1 (* 3 (/ 1 x)))) |
(+.f64 #s(literal 3 binary64) x) |
(* x (+ 1 (* 3 (/ 1 x)))) |
(+.f64 #s(literal 3 binary64) x) |
x |
(* x (+ 1 (* 3 (/ 1 x)))) |
(+.f64 #s(literal 3 binary64) x) |
(* x (+ 1 (* 3 (/ 1 x)))) |
(+.f64 #s(literal 3 binary64) x) |
(* x (+ 1 (* 3 (/ 1 x)))) |
(+.f64 #s(literal 3 binary64) 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))) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 3 binary64) x)) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 3 binary64) x)) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
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 (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)) |
x |
(* x (+ 1 (* -1 x))) |
(-.f64 x (*.f64 x x)) |
(* x (+ 1 (* x (- x 1)))) |
(fma.f64 x (-.f64 (*.f64 x x) x) x) |
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))) |
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #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 x x)) (+.f64 x #s(literal -1 binary64)))) |
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) 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 x x)) (+.f64 x #s(literal -1 binary64)))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)) |
Compiled 41 295 to 4 538 computations (89% saved)
15 alts after pruning (9 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 210 | 4 | 1 214 |
| Fresh | 2 | 5 | 7 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 215 | 15 | 1 230 |
| Status | Accuracy | Program |
|---|---|---|
| 50.2% | (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| ✓ | 50.8% | (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
| ✓ | 50.7% | (fma.f64 x #s(literal 3 binary64) (fma.f64 x x #s(literal 1 binary64))) |
| 50.3% | (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) | |
| 54.1% | (/.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) x (-.f64 #s(literal -1 binary64) x)) (+.f64 x #s(literal -1 binary64))) | |
| ▶ | 50.9% | (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) (+.f64 x #s(literal -1 binary64))) |
| ▶ | 57.1% | (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) |
| ✓ | 54.1% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x)))) |
| ▶ | 51.3% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/3 binary64) (/.f64 #s(literal 8/27 binary64) x)))) |
| 50.4% | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))) | |
| ▶ | 50.7% | (/.f64 #s(literal -3 binary64) x) |
| ✓ | 54.1% | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| ✓ | 50.4% | (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
| ▶ | 3.0% | (*.f64 x #s(literal 3 binary64)) |
| ✓ | 50.3% | #s(literal 1 binary64) |
Compiled 218 to 143 computations (34.4% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 8/27 binary64) x) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal -1/3 binary64) (/.f64 #s(literal 8/27 binary64) x)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/3 binary64) (/.f64 #s(literal 8/27 binary64) x))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/3 binary64) (/.f64 #s(literal 8/27 binary64) x)))) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) x) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) (+.f64 x #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -3 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) |
| 32× | +-lowering-+.f64 |
| 32× | +-lowering-+.f32 |
| 12× | /-lowering-/.f32 |
| 12× | /-lowering-/.f64 |
| 12× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 85 |
| 1 | 33 | 85 |
| 2 | 39 | 85 |
| 3 | 40 | 85 |
| 0 | 40 | 80 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ 1 (+ (* x -1/3) 1/9)) |
1 |
(+ (* x -1/3) 1/9) |
x |
-1/3 |
1/9 |
(* x 3) |
x |
3 |
(/ -3 x) |
-3 |
x |
(/ (+ -3 (/ 2 x)) (+ x -1)) |
(+ -3 (/ 2 x)) |
-3 |
(/ 2 x) |
2 |
x |
(+ x -1) |
-1 |
(/ 1 (+ 1/9 (+ (* x -1/3) (/ 8/27 x)))) |
1 |
(+ 1/9 (+ (* x -1/3) (/ 8/27 x))) |
1/9 |
(+ (* x -1/3) (/ 8/27 x)) |
x |
-1/3 |
(/ 8/27 x) |
8/27 |
| Outputs |
|---|
(/ 1 (+ (* x -1/3) 1/9)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) |
1 |
#s(literal 1 binary64) |
(+ (* x -1/3) 1/9) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) |
x |
-1/3 |
#s(literal -1/3 binary64) |
1/9 |
#s(literal 1/9 binary64) |
(* x 3) |
(*.f64 x #s(literal 3 binary64)) |
x |
3 |
#s(literal 3 binary64) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
-3 |
#s(literal -3 binary64) |
x |
(/ (+ -3 (/ 2 x)) (+ x -1)) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) (+.f64 x #s(literal -1 binary64))) |
(+ -3 (/ 2 x)) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) |
-3 |
#s(literal -3 binary64) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
2 |
#s(literal 2 binary64) |
x |
(+ x -1) |
(+.f64 x #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(/ 1 (+ 1/9 (+ (* x -1/3) (/ 8/27 x)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) (/.f64 #s(literal 8/27 binary64) x))) |
1 |
#s(literal 1 binary64) |
(+ 1/9 (+ (* x -1/3) (/ 8/27 x))) |
(+.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) (/.f64 #s(literal 8/27 binary64) x)) |
1/9 |
#s(literal 1/9 binary64) |
(+ (* x -1/3) (/ 8/27 x)) |
(fma.f64 x #s(literal -1/3 binary64) (/.f64 #s(literal 8/27 binary64) x)) |
x |
-1/3 |
#s(literal -1/3 binary64) |
(/ 8/27 x) |
(/.f64 #s(literal 8/27 binary64) x) |
8/27 |
#s(literal 8/27 binary64) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/3 binary64) (/.f64 #s(literal 8/27 binary64) x))) |
| ✓ | accuracy | 99.7% | (fma.f64 x #s(literal -1/3 binary64) (/.f64 #s(literal 8/27 binary64) x)) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/3 binary64) (/.f64 #s(literal 8/27 binary64) x)))) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 8/27 binary64) x) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 2 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) (+.f64 x #s(literal -1 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -3 binary64) x) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 3 binary64)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) |
| ✓ | accuracy | 99.7% | (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) |
| 40.0ms | 254× | 0 | valid |
| 0.0ms | 1× | 2 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 82 to 24 computations (70.7% saved)
ival-div: 10.0ms (35.3% of total)const: 9.0ms (31.7% of total)ival-add: 5.0ms (17.6% of total)ival-mult: 3.0ms (10.6% of total)exact: 1.0ms (3.5% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 (+ (* x -1/3) 1/9))> |
#<alt (+ (* x -1/3) 1/9)> |
#<alt (* x 3)> |
#<alt (/ -3 x)> |
#<alt (/ (+ -3 (/ 2 x)) (+ x -1))> |
#<alt (+ -3 (/ 2 x))> |
#<alt (/ 2 x)> |
#<alt (+ x -1)> |
#<alt (/ 1 (+ 1/9 (+ (* x -1/3) (/ 8/27 x))))> |
#<alt (+ 1/9 (+ (* x -1/3) (/ 8/27 x)))> |
#<alt (+ (* x -1/3) (/ 8/27 x))> |
#<alt (/ 8/27 x)> |
| Outputs |
|---|
#<alt 9> |
#<alt (+ 9 (* 27 x))> |
#<alt (+ 9 (* x (+ 27 (* 81 x))))> |
#<alt (+ 9 (* x (+ 27 (* x (+ 81 (* 243 x))))))> |
#<alt (/ -3 x)> |
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))> |
#<alt (/ (- (* -1 (/ (+ 1 (* 1/3 (/ 1 x))) x)) 3) x)> |
#<alt (/ (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) (pow x 2))) (+ 3 (/ 1 x))) x)> |
#<alt (/ -3 x)> |
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))> |
#<alt (* -1 (/ (+ 3 (+ (/ 1/3 (pow x 2)) (/ 1 x))) x))> |
#<alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1) x))) x))> |
#<alt 1/9> |
#<alt (+ 1/9 (* -1/3 x))> |
#<alt (+ 1/9 (* -1/3 x))> |
#<alt (+ 1/9 (* -1/3 x))> |
#<alt (* -1/3 x)> |
#<alt (* x (- (* 1/9 (/ 1 x)) 1/3))> |
#<alt (* x (- (* 1/9 (/ 1 x)) 1/3))> |
#<alt (* x (- (* 1/9 (/ 1 x)) 1/3))> |
#<alt (* -1/3 x)> |
#<alt (* -1 (* x (- 1/3 (* 1/9 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1/3 (* 1/9 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1/3 (* 1/9 (/ 1 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 (* 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 (/ -3 x)> |
#<alt (/ -2 x)> |
#<alt (/ (- x 2) x)> |
#<alt (/ (- (* x (+ 1 x)) 2) x)> |
#<alt (/ (- (* x (+ 1 (* x (+ 1 x)))) 2) x)> |
#<alt (/ -3 x)> |
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))> |
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 3) x)> |
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)> |
#<alt (/ -3 x)> |
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))> |
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 1 (pow x 2)))) x))> |
#<alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))> |
#<alt (/ 2 x)> |
#<alt (/ (+ 2 (* -3 x)) x)> |
#<alt (/ (+ 2 (* -3 x)) x)> |
#<alt (/ (+ 2 (* -3 x)) x)> |
#<alt -3> |
#<alt (- (* 2 (/ 1 x)) 3)> |
#<alt (- (* 2 (/ 1 x)) 3)> |
#<alt (- (* 2 (/ 1 x)) 3)> |
#<alt -3> |
#<alt (- (* 2 (/ 1 x)) 3)> |
#<alt (- (* 2 (/ 1 x)) 3)> |
#<alt (- (* 2 (/ 1 x)) 3)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<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 (* 27/8 x)> |
#<alt (* x (+ 27/8 (* -81/64 x)))> |
#<alt (* x (+ 27/8 (* x (- (* 2187/512 x) 81/64))))> |
#<alt (* x (+ 27/8 (* x (- (* x (+ 2187/512 (* -12393/4096 x))) 81/64))))> |
#<alt (/ -3 x)> |
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))> |
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)> |
#<alt (/ (- (* -1 (/ (+ 3 (* 17/9 (/ 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 (* 17/9 (/ 1 x))) x)) 1) x))) x))> |
#<alt (/ 8/27 x)> |
#<alt (/ (+ 8/27 (* 1/9 x)) x)> |
#<alt (/ (+ 8/27 (* x (+ 1/9 (* -1/3 x)))) x)> |
#<alt (/ (+ 8/27 (* x (+ 1/9 (* -1/3 x)))) x)> |
#<alt (* -1/3 x)> |
#<alt (* x (- (* 1/9 (/ 1 x)) 1/3))> |
#<alt (* x (- (+ (/ 8/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3))> |
#<alt (* x (- (+ (/ 8/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3))> |
#<alt (* -1/3 x)> |
#<alt (* -1 (* x (- 1/3 (* 1/9 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* 8/27 (/ 1 x))) x)))))> |
#<alt (* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* 8/27 (/ 1 x))) x)))))> |
#<alt (/ 8/27 x)> |
#<alt (/ (+ 8/27 (* -1/3 (pow x 2))) x)> |
#<alt (/ (+ 8/27 (* -1/3 (pow x 2))) x)> |
#<alt (/ (+ 8/27 (* -1/3 (pow x 2))) x)> |
#<alt (* -1/3 x)> |
#<alt (* x (- (* 8/27 (/ 1 (pow x 2))) 1/3))> |
#<alt (* x (- (* 8/27 (/ 1 (pow x 2))) 1/3))> |
#<alt (* x (- (* 8/27 (/ 1 (pow x 2))) 1/3))> |
#<alt (* -1/3 x)> |
#<alt (* -1 (* x (- 1/3 (* 8/27 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- 1/3 (* 8/27 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- 1/3 (* 8/27 (/ 1 (pow x 2))))))> |
#<alt (/ 8/27 x)> |
#<alt (/ 8/27 x)> |
#<alt (/ 8/27 x)> |
#<alt (/ 8/27 x)> |
#<alt (/ 8/27 x)> |
#<alt (/ 8/27 x)> |
#<alt (/ 8/27 x)> |
#<alt (/ 8/27 x)> |
#<alt (/ 8/27 x)> |
#<alt (/ 8/27 x)> |
#<alt (/ 8/27 x)> |
#<alt (/ 8/27 x)> |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | x | @ | 0 | (+ (* x -1/3) 1/9) |
| 0.0ms | x | @ | inf | (* x 3) |
| 0.0ms | x | @ | -inf | (/ 1 (+ 1/9 (+ (* x -1/3) (/ 8/27 x)))) |
| 0.0ms | x | @ | 0 | (/ 2 x) |
| 0.0ms | x | @ | 0 | (/ 1 (+ (* x -1/3) 1/9)) |
| 1× | batch-egg-rewrite |
| 4 774× | accelerator-lowering-fma.f32 |
| 4 774× | accelerator-lowering-fma.f64 |
| 4 244× | /-lowering-/.f32 |
| 4 244× | /-lowering-/.f64 |
| 3 350× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 68 |
| 1 | 132 | 68 |
| 2 | 1066 | 68 |
| 0 | 8562 | 63 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (+ (* x -1/3) 1/9)) |
(+ (* x -1/3) 1/9) |
(* x 3) |
(/ -3 x) |
(/ (+ -3 (/ 2 x)) (+ x -1)) |
(+ -3 (/ 2 x)) |
(/ 2 x) |
(+ x -1) |
(/ 1 (+ 1/9 (+ (* x -1/3) (/ 8/27 x)))) |
(+ 1/9 (+ (* x -1/3) (/ 8/27 x))) |
(+ (* x -1/3) (/ 8/27 x)) |
(/ 8/27 x) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64)))) |
(-.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64) #s(literal 1/729 binary64))) (/.f64 (*.f64 x #s(literal -1/27 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64) #s(literal 1/729 binary64)))) |
(-.f64 (/.f64 (*.f64 x #s(literal -1/3 binary64)) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1/81 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1/81 binary64)))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64)))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) |
(/.f64 (+.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (*.f64 x #s(literal 1/27 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64) #s(literal 1/729 binary64))) |
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64)) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1/81 binary64))) |
(/.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (*.f64 x #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64) #s(literal 1/729 binary64)))) |
(/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (neg.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1/81 binary64)))) |
(pow.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64)))) |
(*.f64 (+.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (*.f64 x #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64) #s(literal 1/729 binary64)))) |
(*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1/81 binary64)))) |
(*.f64 (pow.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64) #s(literal 1/729 binary64))) (+.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (*.f64 x #s(literal 1/27 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64) #s(literal 1/729 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (*.f64 x #s(literal 1/27 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1/81 binary64))) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1/81 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
(+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64))) (neg.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64))))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))) (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) |
(fma.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64) #s(literal 1/9 binary64)) |
(fma.f64 (neg.f64 x) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
(fma.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64))) (neg.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64))))) |
(neg.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) (*.f64 x #s(literal 1/27 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64) #s(literal 1/729 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))) (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x x))))) |
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64)))) |
(/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64)) #s(literal -1 binary64)) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64) #s(literal 1/729 binary64)) (+.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (*.f64 x #s(literal 1/27 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64) #s(literal 1/729 binary64)) (+.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) (*.f64 x #s(literal 1/27 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1/81 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64) #s(literal 1/729 binary64))) (neg.f64 (+.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (*.f64 x #s(literal 1/27 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64) #s(literal 1/729 binary64))) (neg.f64 (+.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) (*.f64 x #s(literal 1/27 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1/81 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) |
(/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x x))) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64))) (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64)) #s(literal 1/81 binary64))) (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64)))) |
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(pow.f64 (*.f64 x #s(literal 27/8 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 8/27 binary64) x)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -8/27 binary64) x)) |
(*.f64 #s(literal 8/27 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -8/27 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 8/27 binary64)) |
(*.f64 (pow.f64 (*.f64 x #s(literal 27/8 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal 27/8 binary64)) #s(literal -1/2 binary64))) |
| 1× | egg-herbie |
| 9 422× | accelerator-lowering-fma.f32 |
| 9 422× | accelerator-lowering-fma.f64 |
| 3 204× | *-lowering-*.f32 |
| 3 204× | *-lowering-*.f64 |
| 2 200× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 183 | 812 |
| 1 | 489 | 788 |
| 2 | 1135 | 770 |
| 3 | 2963 | 750 |
| 4 | 6550 | 750 |
| 0 | 8247 | 705 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
9 |
(+ 9 (* 27 x)) |
(+ 9 (* x (+ 27 (* 81 x)))) |
(+ 9 (* x (+ 27 (* x (+ 81 (* 243 x)))))) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 1/3 (/ 1 x))) x)) 3) x) |
(/ (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1/3 (pow x 2)) (/ 1 x))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1) x))) x)) |
1/9 |
(+ 1/9 (* -1/3 x)) |
(+ 1/9 (* -1/3 x)) |
(+ 1/9 (* -1/3 x)) |
(* -1/3 x) |
(* x (- (* 1/9 (/ 1 x)) 1/3)) |
(* x (- (* 1/9 (/ 1 x)) 1/3)) |
(* x (- (* 1/9 (/ 1 x)) 1/3)) |
(* -1/3 x) |
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x))))) |
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x))))) |
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x))))) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(/ -3 x) |
(/ -3 x) |
(/ -3 x) |
(/ -3 x) |
(/ -3 x) |
(/ -3 x) |
(/ -3 x) |
(/ -3 x) |
(/ -3 x) |
(/ -3 x) |
(/ -3 x) |
(/ -3 x) |
(/ -2 x) |
(/ (- x 2) x) |
(/ (- (* x (+ 1 x)) 2) x) |
(/ (- (* x (+ 1 (* x (+ 1 x)))) 2) x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 3) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x)) |
(/ 2 x) |
(/ (+ 2 (* -3 x)) x) |
(/ (+ 2 (* -3 x)) x) |
(/ (+ 2 (* -3 x)) x) |
-3 |
(- (* 2 (/ 1 x)) 3) |
(- (* 2 (/ 1 x)) 3) |
(- (* 2 (/ 1 x)) 3) |
-3 |
(- (* 2 (/ 1 x)) 3) |
(- (* 2 (/ 1 x)) 3) |
(- (* 2 (/ 1 x)) 3) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
-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))) |
(* 27/8 x) |
(* x (+ 27/8 (* -81/64 x))) |
(* x (+ 27/8 (* x (- (* 2187/512 x) 81/64)))) |
(* x (+ 27/8 (* x (- (* x (+ 2187/512 (* -12393/4096 x))) 81/64)))) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ (- (* -1 (/ (+ 3 (* 17/9 (/ 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 (* 17/9 (/ 1 x))) x)) 1) x))) x)) |
(/ 8/27 x) |
(/ (+ 8/27 (* 1/9 x)) x) |
(/ (+ 8/27 (* x (+ 1/9 (* -1/3 x)))) x) |
(/ (+ 8/27 (* x (+ 1/9 (* -1/3 x)))) x) |
(* -1/3 x) |
(* x (- (* 1/9 (/ 1 x)) 1/3)) |
(* x (- (+ (/ 8/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3)) |
(* x (- (+ (/ 8/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3)) |
(* -1/3 x) |
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x))))) |
(* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* 8/27 (/ 1 x))) x))))) |
(* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* 8/27 (/ 1 x))) x))))) |
(/ 8/27 x) |
(/ (+ 8/27 (* -1/3 (pow x 2))) x) |
(/ (+ 8/27 (* -1/3 (pow x 2))) x) |
(/ (+ 8/27 (* -1/3 (pow x 2))) x) |
(* -1/3 x) |
(* x (- (* 8/27 (/ 1 (pow x 2))) 1/3)) |
(* x (- (* 8/27 (/ 1 (pow x 2))) 1/3)) |
(* x (- (* 8/27 (/ 1 (pow x 2))) 1/3)) |
(* -1/3 x) |
(* -1 (* x (- 1/3 (* 8/27 (/ 1 (pow x 2)))))) |
(* -1 (* x (- 1/3 (* 8/27 (/ 1 (pow x 2)))))) |
(* -1 (* x (- 1/3 (* 8/27 (/ 1 (pow x 2)))))) |
(/ 8/27 x) |
(/ 8/27 x) |
(/ 8/27 x) |
(/ 8/27 x) |
(/ 8/27 x) |
(/ 8/27 x) |
(/ 8/27 x) |
(/ 8/27 x) |
(/ 8/27 x) |
(/ 8/27 x) |
(/ 8/27 x) |
(/ 8/27 x) |
| Outputs |
|---|
9 |
#s(literal 9 binary64) |
(+ 9 (* 27 x)) |
(fma.f64 #s(literal 27 binary64) x #s(literal 9 binary64)) |
(+ 9 (* x (+ 27 (* 81 x)))) |
(fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 27 binary64)) #s(literal 9 binary64)) |
(+ 9 (* x (+ 27 (* x (+ 81 (* 243 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 243 binary64) #s(literal 81 binary64)) #s(literal 27 binary64)) #s(literal 9 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 (* 1/3 (/ 1 x))) x)) 3) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) |
(/ (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x)) x)) x) |
(/ -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 (+ (/ 1/3 (pow x 2)) (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1) x))) x)) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x)) x)) x) |
1/9 |
#s(literal 1/9 binary64) |
(+ 1/9 (* -1/3 x)) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) |
(+ 1/9 (* -1/3 x)) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) |
(+ 1/9 (* -1/3 x)) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) |
(* -1/3 x) |
(*.f64 x #s(literal -1/3 binary64)) |
(* x (- (* 1/9 (/ 1 x)) 1/3)) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) |
(* x (- (* 1/9 (/ 1 x)) 1/3)) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) |
(* x (- (* 1/9 (/ 1 x)) 1/3)) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) |
(* -1/3 x) |
(*.f64 x #s(literal -1/3 binary64)) |
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x))))) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) |
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x))))) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) |
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x))))) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 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)) |
(* 3 x) |
(*.f64 x #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)) |
(* 3 x) |
(*.f64 x #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)) |
(* 3 x) |
(*.f64 x #s(literal 3 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) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ (- x 2) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* x (+ 1 x)) 2) x) |
(+.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))) |
(/ (- (* x (+ 1 (* x (+ 1 x)))) 2) x) |
(+.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x))) |
(/ -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 (/ 1 x)) x)) 3) x) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) x) |
(/ -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) (/ 1 (pow x 2)))) x)) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x)) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ (+ 2 (* -3 x)) x) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) x) |
(/ (+ 2 (* -3 x)) x) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) x) |
(/ (+ 2 (* -3 x)) x) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) x) |
-3 |
#s(literal -3 binary64) |
(- (* 2 (/ 1 x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (* 2 (/ 1 x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (* 2 (/ 1 x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) |
-3 |
#s(literal -3 binary64) |
(- (* 2 (/ 1 x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (* 2 (/ 1 x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (* 2 (/ 1 x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
-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)) |
(* 27/8 x) |
(*.f64 x #s(literal 27/8 binary64)) |
(* x (+ 27/8 (* -81/64 x))) |
(*.f64 x (fma.f64 x #s(literal -81/64 binary64) #s(literal 27/8 binary64))) |
(* x (+ 27/8 (* x (- (* 2187/512 x) 81/64)))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 2187/512 binary64) #s(literal -81/64 binary64)) #s(literal 27/8 binary64))) |
(* x (+ 27/8 (* x (- (* x (+ 2187/512 (* -12393/4096 x))) 81/64)))) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -12393/4096 binary64) #s(literal 2187/512 binary64)) #s(literal -81/64 binary64)) #s(literal 27/8 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 (* 17/9 (/ 1 x))) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 17/9 binary64) x)) x)) x)) x) |
(/ -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 (* 17/9 (/ 1 x))) x)) 1) x))) x)) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 17/9 binary64) x)) x)) x)) x) |
(/ 8/27 x) |
(/.f64 #s(literal 8/27 binary64) x) |
(/ (+ 8/27 (* 1/9 x)) x) |
(/.f64 (fma.f64 x #s(literal 1/9 binary64) #s(literal 8/27 binary64)) x) |
(/ (+ 8/27 (* x (+ 1/9 (* -1/3 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) #s(literal 8/27 binary64)) x) |
(/ (+ 8/27 (* x (+ 1/9 (* -1/3 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) #s(literal 8/27 binary64)) x) |
(* -1/3 x) |
(*.f64 x #s(literal -1/3 binary64)) |
(* x (- (* 1/9 (/ 1 x)) 1/3)) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) |
(* x (- (+ (/ 8/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3)) |
(+.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/3 binary64) (/.f64 #s(literal 8/27 binary64) x))) |
(* x (- (+ (/ 8/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3)) |
(+.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/3 binary64) (/.f64 #s(literal 8/27 binary64) x))) |
(* -1/3 x) |
(*.f64 x #s(literal -1/3 binary64)) |
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x))))) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) |
(* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* 8/27 (/ 1 x))) x))))) |
(+.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/3 binary64) (/.f64 #s(literal 8/27 binary64) x))) |
(* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* 8/27 (/ 1 x))) x))))) |
(+.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/3 binary64) (/.f64 #s(literal 8/27 binary64) x))) |
(/ 8/27 x) |
(/.f64 #s(literal 8/27 binary64) x) |
(/ (+ 8/27 (* -1/3 (pow x 2))) x) |
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 8/27 binary64)) x) |
(/ (+ 8/27 (* -1/3 (pow x 2))) x) |
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 8/27 binary64)) x) |
(/ (+ 8/27 (* -1/3 (pow x 2))) x) |
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 8/27 binary64)) x) |
(* -1/3 x) |
(*.f64 x #s(literal -1/3 binary64)) |
(* x (- (* 8/27 (/ 1 (pow x 2))) 1/3)) |
(fma.f64 x #s(literal -1/3 binary64) (/.f64 #s(literal 8/27 binary64) x)) |
(* x (- (* 8/27 (/ 1 (pow x 2))) 1/3)) |
(fma.f64 x #s(literal -1/3 binary64) (/.f64 #s(literal 8/27 binary64) x)) |
(* x (- (* 8/27 (/ 1 (pow x 2))) 1/3)) |
(fma.f64 x #s(literal -1/3 binary64) (/.f64 #s(literal 8/27 binary64) x)) |
(* -1/3 x) |
(*.f64 x #s(literal -1/3 binary64)) |
(* -1 (* x (- 1/3 (* 8/27 (/ 1 (pow x 2)))))) |
(fma.f64 x #s(literal -1/3 binary64) (/.f64 #s(literal 8/27 binary64) x)) |
(* -1 (* x (- 1/3 (* 8/27 (/ 1 (pow x 2)))))) |
(fma.f64 x #s(literal -1/3 binary64) (/.f64 #s(literal 8/27 binary64) x)) |
(* -1 (* x (- 1/3 (* 8/27 (/ 1 (pow x 2)))))) |
(fma.f64 x #s(literal -1/3 binary64) (/.f64 #s(literal 8/27 binary64) x)) |
(/ 8/27 x) |
(/.f64 #s(literal 8/27 binary64) x) |
(/ 8/27 x) |
(/.f64 #s(literal 8/27 binary64) x) |
(/ 8/27 x) |
(/.f64 #s(literal 8/27 binary64) x) |
(/ 8/27 x) |
(/.f64 #s(literal 8/27 binary64) x) |
(/ 8/27 x) |
(/.f64 #s(literal 8/27 binary64) x) |
(/ 8/27 x) |
(/.f64 #s(literal 8/27 binary64) x) |
(/ 8/27 x) |
(/.f64 #s(literal 8/27 binary64) x) |
(/ 8/27 x) |
(/.f64 #s(literal 8/27 binary64) x) |
(/ 8/27 x) |
(/.f64 #s(literal 8/27 binary64) x) |
(/ 8/27 x) |
(/.f64 #s(literal 8/27 binary64) x) |
(/ 8/27 x) |
(/.f64 #s(literal 8/27 binary64) x) |
(/ 8/27 x) |
(/.f64 #s(literal 8/27 binary64) x) |
Compiled 13 146 to 1 929 computations (85.3% saved)
15 alts after pruning (4 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 709 | 0 | 709 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 6 | 6 |
| Total | 709 | 15 | 724 |
| Status | Accuracy | Program |
|---|---|---|
| 50.2% | (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| ✓ | 50.8% | (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
| ✓ | 50.7% | (fma.f64 x #s(literal 3 binary64) (fma.f64 x x #s(literal 1 binary64))) |
| 50.3% | (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) | |
| 54.1% | (/.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) x (-.f64 #s(literal -1 binary64) x)) (+.f64 x #s(literal -1 binary64))) | |
| ✓ | 50.9% | (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) (+.f64 x #s(literal -1 binary64))) |
| ✓ | 57.1% | (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) |
| ✓ | 54.1% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x)))) |
| ✓ | 51.3% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/3 binary64) (/.f64 #s(literal 8/27 binary64) x)))) |
| 50.4% | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))) | |
| ✓ | 50.7% | (/.f64 #s(literal -3 binary64) x) |
| ✓ | 54.1% | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| ✓ | 50.4% | (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
| ✓ | 3.0% | (*.f64 x #s(literal 3 binary64)) |
| ✓ | 50.3% | #s(literal 1 binary64) |
Compiled 377 to 163 computations (56.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 x #s(literal 3 binary64)) |
(*.f64 x x) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(*.f64 x (+.f64 #s(literal 3 binary64) x)) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -3 binary64) x) |
(fma.f64 x #s(literal 3 binary64) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal -1 binary64))) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) (+.f64 x #s(literal -1 binary64))) |
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/3 binary64) (/.f64 #s(literal 8/27 binary64) x)))) |
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (neg.f64 x)) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) |
(/.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) x (-.f64 #s(literal -1 binary64) x)) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (+.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) x)) (+.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x)))) |
(fma.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (neg.f64 x)) |
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
2 calls:
| 7.0ms | x |
| 7.0ms | (-.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 |
| 99.3% | 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) |
(*.f64 x #s(literal 3 binary64)) |
(*.f64 x x) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(*.f64 x (+.f64 #s(literal 3 binary64) x)) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -3 binary64) x) |
(fma.f64 x #s(literal 3 binary64) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal -1 binary64))) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) (+.f64 x #s(literal -1 binary64))) |
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/3 binary64) (/.f64 #s(literal 8/27 binary64) x)))) |
(-.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 2 binary64) 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)))) |
1 calls:
| 7.0ms | (-.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 |
|---|---|---|
| 99.3% | 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) |
(*.f64 x #s(literal 3 binary64)) |
(*.f64 x x) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(*.f64 x (+.f64 #s(literal 3 binary64) x)) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -3 binary64) x) |
(fma.f64 x #s(literal 3 binary64) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal -1 binary64))) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) (+.f64 x #s(literal -1 binary64))) |
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/3 binary64) (/.f64 #s(literal 8/27 binary64) x)))) |
| Outputs |
|---|
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) (+.f64 x #s(literal -1 binary64))) |
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #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 |
|---|---|---|
| 99.0% | 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) |
(*.f64 x #s(literal 3 binary64)) |
(*.f64 x x) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(*.f64 x (+.f64 #s(literal 3 binary64) x)) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -3 binary64) x) |
(fma.f64 x #s(literal 3 binary64) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal -1 binary64))) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) (+.f64 x #s(literal -1 binary64))) |
| Outputs |
|---|
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) (+.f64 x #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #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 |
|---|---|---|
| 99.0% | 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) |
(*.f64 x #s(literal 3 binary64)) |
(*.f64 x x) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(*.f64 x (+.f64 #s(literal 3 binary64) x)) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -3 binary64) x) |
(fma.f64 x #s(literal 3 binary64) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal -1 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 #s(literal 3 binary64) x #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 |
|---|---|---|
| 99.0% | 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) |
(*.f64 x #s(literal 3 binary64)) |
(*.f64 x x) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(*.f64 x (+.f64 #s(literal 3 binary64) x)) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -3 binary64) x) |
(fma.f64 x #s(literal 3 binary64) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal -1 binary64))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
1 calls:
| 6.0ms | (-.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 |
|---|---|---|
| 98.7% | 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) |
(*.f64 x #s(literal 3 binary64)) |
(*.f64 x x) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(*.f64 x (+.f64 #s(literal 3 binary64) x)) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -3 binary64) x) |
(fma.f64 x #s(literal 3 binary64) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 #s(literal -3 binary64) x) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #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 |
|---|---|---|
| 98.7% | 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) |
(*.f64 x #s(literal 3 binary64)) |
(*.f64 x x) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(*.f64 x (+.f64 #s(literal 3 binary64) x)) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -3 binary64) x) |
(fma.f64 x #s(literal 3 binary64) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))) |
| Outputs |
|---|
(/.f64 #s(literal -3 binary64) x) |
(fma.f64 x (+.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 |
|---|---|---|
| 98.6% | 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) |
(*.f64 x #s(literal 3 binary64)) |
(*.f64 x x) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(*.f64 x (+.f64 #s(literal 3 binary64) x)) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
| Outputs |
|---|
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
2 calls:
| 3.0ms | 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 |
|---|---|---|
| 50.8% | 1 | x |
| 50.8% | 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)
Total -30.6b remaining (-96.3%)
Threshold costs -30.6b (-96.3%)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 x #s(literal 3 binary64)) |
(*.f64 x x) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(*.f64 x (+.f64 #s(literal 3 binary64) x)) |
| Outputs |
|---|
#s(literal 1 binary64) |
2 calls:
| 5.0ms | 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 |
|---|---|---|
| 50.3% | 1 | x |
| 50.3% | 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 | 1.908562197172614e-11 | 0.9999999878010981 |
Compiled 17 to 11 computations (35.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.908562197172614e-11 | 0.9999999878010981 |
Compiled 17 to 11 computations (35.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.908562197172614e-11 | 0.9999999878010981 |
Compiled 17 to 11 computations (35.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.908562197172614e-11 | 0.9999999878010981 |
Compiled 17 to 11 computations (35.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.908562197172614e-11 | 0.9999999878010981 |
Compiled 17 to 11 computations (35.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.908562197172614e-11 | 0.9999999878010981 |
Compiled 17 to 11 computations (35.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.908562197172614e-11 | 0.9999999878010981 |
Compiled 17 to 11 computations (35.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.908562197172614e-11 | 0.9999999878010981 |
Compiled 17 to 11 computations (35.3% saved)
| 1× | egg-herbie |
| 28× | +-commutative_binary64 |
| 20× | *-commutative_binary64 |
| 20× | sub-neg_binary64 |
| 16× | neg-sub0_binary64 |
| 16× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 274 |
| 1 | 66 | 274 |
| 2 | 82 | 274 |
| 3 | 103 | 274 |
| 4 | 116 | 274 |
| 5 | 120 | 274 |
| 6 | 121 | 274 |
| 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 6189700196426901/309485009821345068724781056 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (neg.f64 x)) (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 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 6189700196426901/309485009821345068724781056 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) 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))))) |
(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 6189700196426901/309485009821345068724781056 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) (+.f64 x #s(literal -1 binary64))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #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 6189700196426901/309485009821345068724781056 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) (+.f64 x #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal 3 binary64) x #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 6189700196426901/309485009821345068724781056 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (*.f64 (fma.f64 #s(literal 3 binary64) x #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 6189700196426901/309485009821345068724781056 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) (*.f64 (fma.f64 #s(literal 3 binary64) x #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 6189700196426901/309485009821345068724781056 binary64)) (/.f64 #s(literal -3 binary64) x) (*.f64 (fma.f64 #s(literal 3 binary64) x #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 6189700196426901/309485009821345068724781056 binary64)) (/.f64 #s(literal -3 binary64) x) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))) |
(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 6189700196426901/309485009821345068724781056 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (neg.f64 x)) (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 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 6189700196426901/309485009821345068724781056 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (neg.f64 x)) (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 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 6189700196426901/309485009821345068724781056 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) 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))))) |
(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 6189700196426901/309485009821345068724781056 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 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 6189700196426901/309485009821345068724781056 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) (+.f64 x #s(literal -1 binary64))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #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 6189700196426901/309485009821345068724781056 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) (+.f64 x #s(literal -1 binary64))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x #s(literal 3 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 6189700196426901/309485009821345068724781056 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) (+.f64 x #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal 3 binary64) x #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 6189700196426901/309485009821345068724781056 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) (+.f64 x #s(literal -1 binary64))) (*.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 6189700196426901/309485009821345068724781056 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (*.f64 (fma.f64 #s(literal 3 binary64) x #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 6189700196426901/309485009821345068724781056 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) 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 6189700196426901/309485009821345068724781056 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) (*.f64 (fma.f64 #s(literal 3 binary64) x #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 6189700196426901/309485009821345068724781056 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) (*.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 6189700196426901/309485009821345068724781056 binary64)) (/.f64 #s(literal -3 binary64) x) (*.f64 (fma.f64 #s(literal 3 binary64) x #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 6189700196426901/309485009821345068724781056 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 6189700196426901/309485009821345068724781056 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 6189700196426901/309485009821345068724781056 binary64)) (/.f64 #s(literal -3 binary64) x) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| 14 982× | accelerator-lowering-fma.f32 |
| 14 982× | accelerator-lowering-fma.f64 |
| 12 218× | accelerator-lowering-fma.f32 |
| 12 218× | accelerator-lowering-fma.f64 |
| 9 608× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 140 | 983 |
| 1 | 420 | 916 |
| 2 | 1148 | 873 |
| 3 | 4070 | 869 |
| 0 | 8237 | 802 |
| 0 | 95 | 332 |
| 1 | 262 | 322 |
| 2 | 585 | 310 |
| 3 | 1504 | 292 |
| 4 | 3719 | 290 |
| 5 | 6658 | 290 |
| 0 | 8041 | 279 |
| 0 | 24 | 100 |
| 1 | 174 | 97 |
| 2 | 1626 | 97 |
| 0 | 8240 | 90 |
| 0 | 162 | 815 |
| 1 | 473 | 796 |
| 2 | 1183 | 764 |
| 3 | 3227 | 742 |
| 4 | 7798 | 742 |
| 0 | 8191 | 693 |
| 0 | 7 | 28 |
| 1 | 62 | 28 |
| 2 | 699 | 28 |
| 0 | 8523 | 28 |
| 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 |
Compiled 433 to 151 computations (65.1% saved)
Compiled 578 to 104 computations (82% saved)
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