Asymptote C
Time bar (total: 5.7s)
| 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)
| 475.0ms | 1 534× | 2 | valid |
| 249.0ms | 2 422× | 1 | valid |
| 201.0ms | 4 300× | 0 | valid |
ival-add: 322.0ms (43% of total)ival-div: 199.0ms (26.5% of total)ival-sub: 117.0ms (15.6% of total)adjust: 99.0ms (13.2% of total)ival-true: 6.0ms (0.8% of total)exact: 4.0ms (0.5% of total)ival-assert: 3.0ms (0.4% of total)| 1× | egg-herbie |
| 640× | lower-fma.f64 |
| 640× | lower-fma.f32 |
| 256× | lower-*.f64 |
| 256× | lower-*.f32 |
| 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 |
| 0 | 12 | 13 |
| 1 | 20 | 13 |
| 2 | 28 | 13 |
| 3 | 44 | 13 |
| 4 | 77 | 13 |
| 5 | 115 | 13 |
| 6 | 203 | 13 |
| 7 | 371 | 13 |
| 8 | 876 | 13 |
| 9 | 1137 | 13 |
| 10 | 1221 | 13 |
| 11 | 1231 | 13 |
| 0 | 1231 | 13 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.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 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 123 | 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 | 123 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 123 | 0 |
| - | 0 | 133 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 123 | 0 | 0 |
| - | 0 | 0 | 133 |
| number | freq |
|---|---|
| 0 | 133 |
| 1 | 123 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 18.0ms | 164× | 1 | valid |
| 16.0ms | 266× | 0 | valid |
| 14.0ms | 82× | 2 | valid |
Compiled 98 to 32 computations (67.3% saved)
ival-div: 12.0ms (39.3% of total)ival-sub: 7.0ms (22.9% of total)adjust: 6.0ms (19.7% of total)ival-add: 4.0ms (13.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.7% | (-.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)
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 | 54.7% | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| 11.0ms | 82× | 1 | valid |
| 7.0ms | 41× | 2 | valid |
| 7.0ms | 133× | 0 | valid |
Compiled 35 to 9 computations (74.3% saved)
ival-div: 6.0ms (40.9% of total)adjust: 3.0ms (20.4% of total)ival-sub: 3.0ms (20.4% of total)ival-add: 2.0ms (13.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))> |
#<alt (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))> |
#<alt (/.f64 x (+.f64 x #s(literal 1 binary64)))> |
#<alt (+.f64 x #s(literal 1 binary64))> |
| 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 x) 2)) 2)) 1)> |
#<alt 1> |
#<alt (+ 1 (* 2 (/ 1 x)))> |
#<alt (+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))> |
#<alt (+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))> |
#<alt 1> |
#<alt (+ 1 (* 2 (/ 1 x)))> |
#<alt (+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))> |
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))> |
#<alt 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)))> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) |
| 0.0ms | x | @ | -inf | (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) |
| 0.0ms | x | @ | 0 | (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) |
| 0.0ms | x | @ | inf | (+ x 1) |
| 0.0ms | x | @ | 0 | (/ x (+ x 1)) |
| 1× | batch-egg-rewrite |
| 5 084× | lower-*.f64 |
| 5 084× | lower-*.f32 |
| 4 902× | lower-fma.f64 |
| 4 902× | lower-fma.f32 |
| 4 894× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 28 |
| 0 | 12 | 28 |
| 1 | 67 | 28 |
| 2 | 704 | 28 |
| 0 | 8085 | 28 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.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 x #s(literal 1 binary64))) |
(/.f64 x (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
| 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 (fma.f64 x x (neg.f64 x)) (fma.f64 x 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 (/.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 (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 #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 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)))) |
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 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) (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 #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 x (/.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 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 x (/.f64 (fma.f64 x 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 #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (/.f64 #s(literal -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 x (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (/.f64 #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 x (+.f64 x #s(literal 1 binary64)))) |
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(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (fma.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 x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (+.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 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (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 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 (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)))) |
| 1× | egg-herbie |
| 9 638× | lower-fma.f64 |
| 9 638× | lower-fma.f32 |
| 2 654× | lower-*.f64 |
| 2 654× | lower-*.f32 |
| 1 956× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 332 |
| 1 | 262 | 322 |
| 2 | 585 | 310 |
| 3 | 1507 | 292 |
| 4 | 3732 | 290 |
| 5 | 6655 | 290 |
| 0 | 8046 | 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)) |
-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))) |
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))) |
| 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)))) |
-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 #s(literal -2 binary64) (fma.f64 x x x) #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)) |
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) |
Compiled 12 806 to 1 297 computations (89.9% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 437 | 7 | 444 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 437 | 8 | 445 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.3% | (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) |
| ▶ | 52.3% | (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
| ▶ | 51.9% | (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
| 48.6% | (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) | |
| ▶ | 49.6% | (/.f64 #s(literal -3 binary64) x) |
| ✓ | 54.7% | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| 51.9% | (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) | |
| ▶ | 52.6% | #s(literal 1 binary64) |
Compiled 124 to 81 computations (34.7% saved)
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -3 binary64) x) |
| ✓ | 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% | (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))) |
| ✓ | accuracy | 77.6% | (/.f64 x (fma.f64 x x #s(literal -1 binary64))) |
| ✓ | accuracy | 54.3% | (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) |
| 22.0ms | 81× | 1 | valid |
| 19.0ms | 42× | 2 | valid |
| 18.0ms | 133× | 0 | valid |
Compiled 84 to 23 computations (72.6% saved)
ival-add: 13.0ms (31.5% of total)ival-mult: 11.0ms (26.7% of total)adjust: 8.0ms (19.4% of total)ival-div: 7.0ms (17% of total)ival-neg: 1.0ms (2.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))))> |
#<alt (/.f64 x (fma.f64 x x #s(literal -1 binary64)))> |
#<alt (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))> |
#<alt (neg.f64 x)> |
#<alt (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))> |
#<alt (+.f64 #s(literal 3 binary64) x)> |
#<alt (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))> |
#<alt (/.f64 #s(literal -3 binary64) x)> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* 3 x))> |
#<alt (+ 1 (* x (+ 3 x)))> |
#<alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))> |
#<alt (/ -3 x)> |
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))> |
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)> |
#<alt (/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)> |
#<alt (/ -3 x)> |
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))> |
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))> |
#<alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))> |
#<alt (* -1 x)> |
#<alt (* x (- (* -1 (pow x 2)) 1))> |
#<alt (* x (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1))> |
#<alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (/ 1 (pow x 2))) x)> |
#<alt (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)> |
#<alt (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (/ 1 (pow x 2))) x)> |
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x))> |
#<alt 1> |
#<alt (+ 1 (* 2 x))> |
#<alt (+ 1 (* x (+ 2 (* 2 x))))> |
#<alt (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))> |
#<alt -1> |
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))> |
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)> |
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))> |
#<alt -1> |
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))> |
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)> |
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)> |
#<alt (* -1 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 (* 3 x))> |
#<alt (+ 1 (* 3 x))> |
#<alt (* 3 x)> |
#<alt (* x (+ 3 (/ 1 x)))> |
#<alt (* x (+ 3 (/ 1 x)))> |
#<alt (* x (+ 3 (/ 1 x)))> |
#<alt (* 3 x)> |
#<alt (* x (+ 3 (/ 1 x)))> |
#<alt (* x (+ 3 (/ 1 x)))> |
#<alt (* x (+ 3 (/ 1 x)))> |
#<alt 3> |
#<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 (/ -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)> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+ (* 3 x) 1) |
| 0.0ms | x | @ | 0 | (/ -3 x) |
| 0.0ms | x | @ | inf | (+ (* (/ x (+ (* x x) -1)) (+ x -1)) (/ (+ x 1) (+ (neg x) 1))) |
| 0.0ms | x | @ | inf | (/ -3 x) |
| 0.0ms | x | @ | inf | (/ x (+ (* x x) -1)) |
| 1× | batch-egg-rewrite |
| 6 332× | lower-fma.f32 |
| 6 324× | lower-fma.f64 |
| 3 628× | lower-/.f32 |
| 3 624× | lower-/.f64 |
| 2 792× | lower-*.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 50 |
| 0 | 33 | 50 |
| 1 | 163 | 48 |
| 2 | 1493 | 32 |
| 0 | 9331 | 32 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) |
(/.f64 x (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))) |
(neg.f64 x) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(+.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) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64)))) |
(+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(+.f64 (*.f64 x (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (fma.f64 x x #s(literal -1 binary64))))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (fma.f64 x x #s(literal -1 binary64))))) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64)))))) |
(fma.f64 x (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))) |
(fma.f64 x (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) x))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) x (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) x)) (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) x))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x x) #s(literal 1 binary64)) |
(fma.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) 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) x)) (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))) |
(fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 x (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (+.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)) x)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (neg.f64 x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (fma.f64 x x x)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (-.f64 (*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (*.f64 x (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))))))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) x #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) x)) (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))) |
(fma.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) x)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 x (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)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 x (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))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (neg.f64 x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 x x x) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (+.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 x x x) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 x x x) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 x x x) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #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))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 x (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (/.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x 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))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (/.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))) |
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(/.f64 (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (*.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (*.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 x (+.f64 x #s(literal 3 binary64)))))) |
(*.f64 (fma.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 x #s(literal 3 binary64)))) (*.f64 x (+.f64 x #s(literal 3 binary64))))))) |
(*.f64 (fma.f64 (+.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 x (+.f64 x #s(literal 3 binary64))))))) |
(*.f64 (neg.f64 (fma.f64 (+.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 3 binary64) x)) |
(neg.f64 (/.f64 #s(literal 3 binary64) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal -1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal -1/3 binary64))))) |
(/.f64 #s(literal 3 binary64) (neg.f64 x)) |
(/.f64 #s(literal -3 binary64) x) |
(pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x #s(literal -1/3 binary64))))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x)) |
(*.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) |
(*.f64 (pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) |
| 1× | egg-herbie |
| 11 386× | lower-fma.f64 |
| 11 386× | lower-fma.f32 |
| 3 050× | lower-*.f64 |
| 3 050× | lower-*.f32 |
| 2 092× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 560 |
| 1 | 301 | 542 |
| 2 | 750 | 522 |
| 3 | 2061 | 510 |
| 4 | 4764 | 509 |
| 0 | 8120 | 482 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(* -1 x) |
(* x (- (* -1 (pow x 2)) 1)) |
(* x (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1)) |
(/ 1 x) |
(/ (+ 1 (/ 1 (pow x 2))) x) |
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x) |
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x) |
(/ 1 x) |
(/ (+ 1 (/ 1 (pow x 2))) x) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x)) |
1 |
(+ 1 (* 2 x)) |
(+ 1 (* x (+ 2 (* 2 x)))) |
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
-1 |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
-1 |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1) |
(* -1 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 (* 3 x)) |
(+ 1 (* 3 x)) |
(* 3 x) |
(* x (+ 3 (/ 1 x))) |
(* x (+ 3 (/ 1 x))) |
(* x (+ 3 (/ 1 x))) |
(* 3 x) |
(* x (+ 3 (/ 1 x))) |
(* x (+ 3 (/ 1 x))) |
(* x (+ 3 (/ 1 x))) |
3 |
(+ 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))))) |
(/ -3 x) |
(/ -3 x) |
(/ -3 x) |
(/ -3 x) |
(/ -3 x) |
(/ -3 x) |
(/ -3 x) |
(/ -3 x) |
(/ -3 x) |
(/ -3 x) |
(/ -3 x) |
(/ -3 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 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal 3 binary64) x) #s(literal -3 binary64)) 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)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 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 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal 3 binary64) x) #s(literal -3 binary64)) 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)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* -1 (pow x 2)) 1)) |
(*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 x x))) |
(* x (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) |
(*.f64 x (fma.f64 x (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -1 binary64))) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1)) |
(*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (/ 1 (pow x 2))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) x) |
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) x) |
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x) |
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (/ 1 (pow x 2))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) x) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 x x))) x) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 x)) |
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 2 (* 2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) |
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) |
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1) |
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) |
(* -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 (* 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)) |
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)) |
(/ -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) |
Compiled 9 398 to 1 055 computations (88.8% saved)
8 alts after pruning (2 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 473 | 0 | 473 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 473 | 8 | 481 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 54.3% | (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) |
| ✓ | 52.3% | (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
| ✓ | 51.9% | (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
| ▶ | 48.6% | (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
| ✓ | 49.6% | (/.f64 #s(literal -3 binary64) x) |
| ✓ | 54.7% | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| ▶ | 51.9% | (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
| ✓ | 52.6% | #s(literal 1 binary64) |
Compiled 69 to 44 computations (36.2% saved)
Found 6 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))) |
| 20.0ms | 245× | 0 | valid |
| 1.0ms | 7× | 2 | valid |
| 1.0ms | 4× | 1 | valid |
Compiled 44 to 15 computations (65.9% saved)
ival-div: 5.0ms (34.5% of total)ival-mult: 5.0ms (34.5% of total)ival-add: 4.0ms (27.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))> |
#<alt (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))> |
#<alt (fma.f64 x x #s(literal 1 binary64))> |
#<alt (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)> |
#<alt (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))> |
#<alt (/.f64 #s(literal -1 binary64) x)> |
| Outputs |
|---|
#<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)> |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/ (+ -3 (/ -1 x)) x) |
| 0.0ms | x | @ | 0 | (/ (+ -3 (/ -1 x)) x) |
| 0.0ms | x | @ | inf | (/ (+ -3 (/ -1 x)) x) |
| 0.0ms | x | @ | 0 | (/ -1 x) |
| 0.0ms | x | @ | inf | (* (+ (* 3 x) 1) (+ (* x x) 1)) |
| 1× | batch-egg-rewrite |
| 4 974× | lower-fma.f32 |
| 4 970× | lower-fma.f64 |
| 3 864× | lower-*.f32 |
| 3 862× | lower-*.f64 |
| 2 784× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 32 |
| 0 | 19 | 32 |
| 1 | 82 | 32 |
| 2 | 643 | 32 |
| 3 | 6548 | 32 |
| 0 | 8232 | 32 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 x x #s(literal 1 binary64)) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x (*.f64 x (fma.f64 #s(literal 3 binary64) (*.f64 x x) x)))) |
(+.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (*.f64 x (fma.f64 #s(literal 3 binary64) (*.f64 x x) x))) |
(+.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x x #s(literal 1 binary64))))) |
(+.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 #s(literal 3 binary64) x)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
(+.f64 (*.f64 #s(literal 3 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) (*.f64 x x) x)))) |
(+.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) (*.f64 x x) x)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) |
(+.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 3 binary64) x))) (fma.f64 x x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
(+.f64 (+.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 #s(literal 3 binary64) x)))) |
(+.f64 (+.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 #s(literal 3 binary64) x)))) (*.f64 x x)) |
(+.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) (*.f64 x x) x) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) x)) |
(+.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) (*.f64 x x) x) (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64))) (*.f64 x (fma.f64 #s(literal 3 binary64) (*.f64 x x) x)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x x) x) (*.f64 x (fma.f64 #s(literal 3 binary64) (*.f64 x x) x)))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) 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))))) |
(-.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) (*.f64 x x) x) (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64)))) |
(fma.f64 #s(literal 3 binary64) x (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) (*.f64 x x) x)))) |
(fma.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x x)) (fma.f64 x x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
(fma.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) (*.f64 x x) x)))) |
(fma.f64 x x (fma.f64 x (*.f64 x (*.f64 #s(literal 3 binary64) x)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
(fma.f64 x (*.f64 x (*.f64 #s(literal 3 binary64) x)) (fma.f64 x x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
(fma.f64 x (fma.f64 #s(literal 3 binary64) (*.f64 x x) x) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(fma.f64 x (*.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (*.f64 x (fma.f64 #s(literal 3 binary64) (*.f64 x x) x))) |
(fma.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x x #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 #s(literal 3 binary64) x)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) (*.f64 x x) x)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) (*.f64 x x) x)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 #s(literal 3 binary64) x))) (fma.f64 x x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) (*.f64 x x) x))) |
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (*.f64 x x) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64)))) (*.f64 x (fma.f64 #s(literal 3 binary64) (*.f64 x x) x))) |
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64))) (*.f64 x (fma.f64 #s(literal 3 binary64) (*.f64 x x) x))) |
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x x #s(literal 1 binary64))))) |
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) x) (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x x #s(literal 1 binary64))))) |
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x x #s(literal 1 binary64))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)) (fma.f64 x (*.f64 x (*.f64 #s(literal 3 binary64) x)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 #s(literal 3 binary64) x)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 3 binary64) x) (fma.f64 x x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) (*.f64 x x) x)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 x x) (fma.f64 x x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 x (*.f64 x (*.f64 #s(literal 3 binary64) x)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x x #s(literal 1 binary64))))) |
(fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 3 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x x #s(literal 1 binary64))))) |
(fma.f64 (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 #s(literal 3 binary64) (*.f64 x x) x))) |
(fma.f64 (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 x (fma.f64 #s(literal 3 binary64) (*.f64 x x) x))) |
(fma.f64 (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 x x)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x x #s(literal 1 binary64))))) |
(fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x x #s(literal 1 binary64))))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64))) (*.f64 x (fma.f64 #s(literal 3 binary64) (*.f64 x x) x))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 x (fma.f64 #s(literal 3 binary64) (*.f64 x x) x))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64))) (*.f64 x x)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(fma.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) (*.f64 x x) x)) #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 3 binary64) (fma.f64 x x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
(fma.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x x #s(literal 1 binary64))))) |
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| 1× | egg-herbie |
| 8 694× | lower-fma.f64 |
| 8 694× | lower-fma.f32 |
| 2 894× | lower-*.f64 |
| 2 894× | lower-*.f32 |
| 2 564× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 410 |
| 1 | 175 | 374 |
| 2 | 461 | 368 |
| 3 | 1765 | 360 |
| 4 | 7653 | 360 |
| 0 | 8159 | 328 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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) |
| 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 (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 #s(literal 3 binary64) (fma.f64 x x #s(literal 1 binary64)) x)) |
(* (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 #s(literal 3 binary64) (fma.f64 x x #s(literal 1 binary64)) x)) |
(* -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) |
Compiled 14 648 to 1 434 computations (90.2% saved)
9 alts after pruning (2 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 638 | 2 | 640 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 6 | 6 |
| Total | 639 | 9 | 648 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 51.9% | (fma.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x x) x) x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
| ✓ | 54.3% | (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) |
| ✓ | 52.3% | (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
| ✓ | 51.9% | (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
| ▶ | 26.2% | (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
| ✓ | 49.6% | (/.f64 #s(literal -3 binary64) x) |
| ✓ | 54.7% | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| ✓ | 51.9% | (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
| ✓ | 52.6% | #s(literal 1 binary64) |
Compiled 83 to 51 computations (38.6% saved)
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (fma.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x x) x) x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 #s(literal 3 binary64) (*.f64 x x) x) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 77.5% | (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
| 21.0ms | 245× | 0 | valid |
| 2.0ms | 7× | 2 | valid |
| 1.0ms | 4× | 1 | valid |
Compiled 55 to 17 computations (69.1% saved)
ival-mult: 7.0ms (46.6% of total)ival-add: 5.0ms (33.3% of total)ival-div: 2.0ms (13.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))> |
#<alt (*.f64 x x)> |
#<alt (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))> |
#<alt (fma.f64 #s(literal 3 binary64) (*.f64 x x) x)> |
#<alt (fma.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x x) x) x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))> |
#<alt (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))> |
| Outputs |
|---|
#<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 (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt -1> |
#<alt (- (* -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 (* 3 x)))> |
#<alt (* x (+ 1 (* 3 x)))> |
#<alt (* x (+ 1 (* 3 x)))> |
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 3 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 3 (/ 1 x)))> |
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 3 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 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)))> |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/ (+ (* x -3) -1) (* x x)) |
| 0.0ms | x | @ | 0 | (/ (+ (* x -3) -1) (* x x)) |
| 0.0ms | x | @ | -inf | (/ (+ (* x -3) -1) (* x x)) |
| 0.0ms | x | @ | -inf | (+ (* 3 (* x x)) x) |
| 0.0ms | x | @ | inf | (+ (* 3 (* x x)) x) |
| 1× | batch-egg-rewrite |
| 12 428× | lower-fma.f32 |
| 12 420× | lower-fma.f64 |
| 6 014× | lower-*.f32 |
| 6 012× | lower-*.f64 |
| 3 872× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 37 |
| 0 | 21 | 37 |
| 1 | 92 | 37 |
| 2 | 769 | 37 |
| 0 | 8817 | 35 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(*.f64 x x) |
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 3 binary64) (*.f64 x x) x) |
(fma.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x x) x) x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x #s(literal -3 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x #s(literal -3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (*.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(+.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (*.f64 x x))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -1 binary64))) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))) (/.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (*.f64 x x))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -3 binary64)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal -3 binary64)) x)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(fma.f64 (*.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x #s(literal -3 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x #s(literal -3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (*.f64 x x))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (*.f64 x x)))) |
(neg.f64 (/.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) x) (neg.f64 x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (/.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))))) |
(neg.f64 (/.f64 (/.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) x) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))) (neg.f64 (*.f64 x x)))) |
(/.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))))) |
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(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 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 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -19683 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 729 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 27 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 x #s(literal -3 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 729 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal -1 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 x #s(literal -3 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 729 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 81 binary64) #s(literal 1 binary64)) (*.f64 x (*.f64 x #s(literal 9 binary64)))) (fma.f64 x #s(literal 3 binary64) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 81 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64)))) (fma.f64 x #s(literal 3 binary64) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (fma.f64 x #s(literal 3 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (fma.f64 x #s(literal 3 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (fma.f64 x #s(literal 3 binary64) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal -1 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 (*.f64 x (*.f64 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 0 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 #s(literal 0 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (fma.f64 x #s(literal 3 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (fma.f64 x #s(literal 3 binary64) #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal -1 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 (*.f64 x (*.f64 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))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 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) (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)) (*.f64 (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 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 27 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 x #s(literal -3 binary64))))) |
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 27 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)))))) |
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 27 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 x #s(literal -3 binary64)))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 x #s(literal -3 binary64)))))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 x #s(literal -3 binary64)))))) |
(*.f64 (fma.f64 x (*.f64 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)))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -1 binary64))))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (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)) (*.f64 (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 (neg.f64 (fma.f64 x (*.f64 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)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 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)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 27 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 x #s(literal -3 binary64))))) |
| 1× | egg-herbie |
| 13 758× | lower-fma.f64 |
| 13 758× | lower-fma.f32 |
| 3 736× | lower-*.f64 |
| 3 736× | lower-*.f32 |
| 1 306× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 416 |
| 1 | 165 | 416 |
| 2 | 477 | 384 |
| 3 | 2075 | 384 |
| 4 | 4254 | 384 |
| 5 | 7929 | 384 |
| 0 | 8126 | 343 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -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)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
-1 |
(- (* -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 (* 3 x))) |
(* x (+ 1 (* 3 x))) |
(* x (+ 1 (* 3 x))) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (/ 1 x))) |
(* (pow x 2) (+ 3 (/ 1 x))) |
(* (pow x 2) (+ 3 (/ 1 x))) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (/ 1 x))) |
(* (pow x 2) (+ 3 (/ 1 x))) |
(* (pow x 2) (+ 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))) |
| Outputs |
|---|
(/ -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)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
-1 |
#s(literal -1 binary64) |
(- (* -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 (* 3 x))) |
(fma.f64 x (*.f64 x #s(literal 3 binary64)) x) |
(* x (+ 1 (* 3 x))) |
(fma.f64 x (*.f64 x #s(literal 3 binary64)) x) |
(* x (+ 1 (* 3 x))) |
(fma.f64 x (*.f64 x #s(literal 3 binary64)) x) |
(* 3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (/ 1 x))) |
(fma.f64 x (*.f64 x #s(literal 3 binary64)) x) |
(* (pow x 2) (+ 3 (/ 1 x))) |
(fma.f64 x (*.f64 x #s(literal 3 binary64)) x) |
(* (pow x 2) (+ 3 (/ 1 x))) |
(fma.f64 x (*.f64 x #s(literal 3 binary64)) x) |
(* 3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (/ 1 x))) |
(fma.f64 x (*.f64 x #s(literal 3 binary64)) x) |
(* (pow x 2) (+ 3 (/ 1 x))) |
(fma.f64 x (*.f64 x #s(literal 3 binary64)) x) |
(* (pow x 2) (+ 3 (/ 1 x))) |
(fma.f64 x (*.f64 x #s(literal 3 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 3 x)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 x))) |
(fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(* 3 (pow x 3)) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 3 (/ 1 x))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 3 binary64)) x)) |
(* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2))))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(* (pow x 3) (+ 3 (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ 3 (pow x 2)))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(* 3 (pow x 3)) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 3 (/ 1 x))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 3 binary64)) x)) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))) x)) 3))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 3 x)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(+ 1 (* 3 x)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(+ 1 (* 3 x)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* x (+ 3 (/ 1 x))) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(* x (+ 3 (/ 1 x))) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(* x (+ 3 (/ 1 x))) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* x (+ 3 (/ 1 x))) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(* x (+ 3 (/ 1 x))) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(* x (+ 3 (/ 1 x))) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
Compiled 16 967 to 1 467 computations (91.4% saved)
10 alts after pruning (2 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 647 | 2 | 649 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 7 | 7 |
| Total | 648 | 10 | 658 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 54.3% | (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) |
| 51.9% | (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) | |
| ✓ | 52.3% | (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
| ✓ | 51.9% | (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
| ✓ | 26.2% | (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
| 27.1% | (/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 x x)) | |
| ✓ | 49.6% | (/.f64 #s(literal -3 binary64) x) |
| ✓ | 54.7% | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| ✓ | 51.9% | (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
| ✓ | 52.6% | #s(literal 1 binary64) |
Compiled 188 to 91 computations (51.6% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -3 binary64) x) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 x x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(fma.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x x) x) x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) |
2 calls:
| 4.0ms | x |
| 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 |
|---|---|---|
| 100.0% | 3 | x |
| 100.0% | 2 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
Compiled 16 to 8 computations (50% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 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))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 x x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(fma.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x x) x) x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) 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 -1 binary64) x)) x) |
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 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 |
|---|---|---|
| 100.0% | 2 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
Compiled 14 to 7 computations (50% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 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))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 x x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(fma.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x x) x) x (fma.f64 #s(literal 3 binary64) x #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) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
1 calls:
| 3.0ms | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 2 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
Compiled 14 to 7 computations (50% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 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))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 x x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(fma.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x x) x) x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 #s(literal -3 binary64) x) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
1 calls:
| 3.0ms | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 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) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -3 binary64) x) |
(*.f64 (fma.f64 #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:
| 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 |
|---|---|---|
| 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) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -3 binary64) x) |
| Outputs |
|---|
(/.f64 #s(literal -3 binary64) x) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
1 calls:
| 2.0ms | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 2 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
Compiled 14 to 7 computations (50% saved)
Total -0.7b remaining (-2.4%)
Threshold costs -0.7b (-2.4%)
| Inputs |
|---|
#s(literal 1 binary64) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(literal 1 binary64) |
2 calls:
| 2.0ms | x |
| 1.0ms | (-.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 |
|---|---|---|
| 52.6% | 1 | x |
| 52.6% | 1 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
Compiled 16 to 8 computations (50% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.701394663517931e-11 | 0.1716136908128616 |
Compiled 17 to 11 computations (35.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.701394663517931e-11 | 0.1716136908128616 |
Compiled 17 to 11 computations (35.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.1716136908128616 | 0.9999999998106115 |
Compiled 17 to 11 computations (35.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.1716136908128616 | 0.9999999998106115 |
Compiled 17 to 11 computations (35.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.1716136908128616 | 0.9999999998106115 |
Compiled 17 to 11 computations (35.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.1716136908128616 | 0.9999999998106115 |
Compiled 17 to 11 computations (35.3% saved)
| 1× | egg-herbie |
| 24× | +-commutative_binary64 |
| 16× | sub-neg_binary64 |
| 12× | *-commutative_binary64 |
| 12× | neg-sub0_binary64 |
| 12× | neg-mul-1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 193 |
| 1 | 54 | 192 |
| 2 | 67 | 192 |
| 3 | 84 | 192 |
| 4 | 94 | 192 |
| 5 | 97 | 192 |
| 6 | 98 | 192 |
| 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 7737125245533627/154742504910672534362390528 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.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 7737125245533627/154742504910672534362390528 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) 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 3602879701896397/18014398509481984 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(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 3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal -3 binary64) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(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 3602879701896397/18014398509481984 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 3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal -3 binary64) x) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
| Outputs |
|---|
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 7737125245533627/154742504910672534362390528 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.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 7737125245533627/154742504910672534362390528 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) |
(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 7737125245533627/154742504910672534362390528 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) 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 7737125245533627/154742504910672534362390528 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) 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 3602879701896397/18014398509481984 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(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 3602879701896397/18014398509481984 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(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 3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal -3 binary64) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(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 3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal -3 binary64) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(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 3602879701896397/18014398509481984 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 3602879701896397/18014398509481984 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 3602879701896397/18014398509481984 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 3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal -3 binary64) x) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
| 12 428× | lower-fma.f32 |
| 12 420× | lower-fma.f64 |
| 9 638× | lower-fma.f64 |
| 9 638× | lower-fma.f32 |
| 6 014× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 37 |
| 0 | 21 | 37 |
| 1 | 92 | 37 |
| 2 | 769 | 37 |
| 0 | 8817 | 35 |
| 0 | 95 | 332 |
| 1 | 262 | 322 |
| 2 | 585 | 310 |
| 3 | 1507 | 292 |
| 4 | 3732 | 290 |
| 5 | 6655 | 290 |
| 0 | 8046 | 279 |
| 0 | 11 | 32 |
| 0 | 19 | 32 |
| 1 | 82 | 32 |
| 2 | 643 | 32 |
| 3 | 6548 | 32 |
| 0 | 8232 | 32 |
| 0 | 7 | 28 |
| 0 | 12 | 28 |
| 1 | 67 | 28 |
| 2 | 704 | 28 |
| 0 | 8085 | 28 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 337 to 123 computations (63.5% saved)
Compiled 414 to 90 computations (78.3% saved)
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