
Time bar (total: 6.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 3 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 4 |
| 87.5% | 87.5% | 12.5% | 0% | 0% | 0% | 0% | 5 |
| 93.8% | 93.7% | 6.2% | 0% | 0% | 0% | 0% | 6 |
| 96.9% | 96.8% | 3.1% | 0% | 0% | 0% | 0% | 7 |
| 98.4% | 98.4% | 1.6% | 0% | 0% | 0% | 0% | 8 |
| 99.2% | 99.2% | 0.8% | 0% | 0% | 0% | 0% | 9 |
| 99.6% | 99.6% | 0.4% | 0% | 0% | 0% | 0% | 10 |
| 99.8% | 99.8% | 0.2% | 0% | 0% | 0% | 0% | 11 |
| 99.9% | 99.9% | 0.1% | 0% | 0% | 0% | 0% | 12 |
Compiled 15 to 9 computations (40% saved)
| 324.0ms | 1 579× | 2 | valid |
| 258.0ms | 2 357× | 1 | valid |
| 233.0ms | 4 320× | 0 | valid |
ival-div: 228.0ms (36.2% of total)ival-add: 147.0ms (23.4% of total)ival-sub: 133.0ms (21.1% of total)adjust: 106.0ms (16.9% of total)ival-true: 6.0ms (1% of total)exact: 5.0ms (0.8% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 138 | 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 | 138 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 138 | 0 |
| - | 0 | 118 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 138 | 0 | 0 |
| - | 0 | 0 | 118 |
| number | freq |
|---|---|
| 0 | 118 |
| 1 | 138 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 36.0ms | 132× | 2 | valid |
| 34.0ms | 138× | 1 | valid |
| 13.0ms | 242× | 0 | valid |
Compiled 116 to 32 computations (72.4% saved)
ival-div: 26.0ms (54.2% of total)ival-sub: 9.0ms (18.8% of total)adjust: 8.0ms (16.7% of total)ival-add: 5.0ms (10.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 35 |
| 1 | 23 | 31 |
| 2 | 62 | 27 |
| 3 | 174 | 26 |
| 4 | 416 | 26 |
| 5 | 865 | 26 |
| 6 | 1189 | 26 |
| 7 | 1348 | 26 |
| 8 | 1430 | 26 |
| 9 | 1440 | 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 | 372 | 13 |
| 8 | 882 | 13 |
| 9 | 1190 | 13 |
| 10 | 1275 | 13 |
| 11 | 1285 | 13 |
| 0 | 1285 | 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 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) x))) |
Compiled 13 to 7 computations (46.2% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 50.0% | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
Compiled 13 to 7 computations (46.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 x (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 33 |
| 0 | 12 | 33 |
| 1 | 20 | 33 |
| 2 | 28 | 33 |
| 3 | 44 | 33 |
| 4 | 77 | 33 |
| 5 | 115 | 33 |
| 6 | 203 | 33 |
| 7 | 372 | 33 |
| 8 | 882 | 33 |
| 9 | 1190 | 33 |
| 10 | 1275 | 33 |
| 11 | 1285 | 33 |
| 0 | 1285 | 33 |
| 1× | iter limit |
| 1× | saturated |
| 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 x (+.f64 x #s(literal 1 binary64))) |
x |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.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 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) x))) |
(/.f64 x (+.f64 x #s(literal 1 binary64))) |
(/.f64 x (-.f64 x #s(literal -1 binary64))) |
x |
(+.f64 x #s(literal 1 binary64)) |
(-.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 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 x #s(literal 1 binary64)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (/.f64 x (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.0078125 | (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 31.98461551206875 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| 21.0ms | 66× | 2 | valid |
| 8.0ms | 69× | 1 | valid |
| 6.0ms | 121× | 0 | valid |
Compiled 68 to 16 computations (76.5% saved)
ival-div: 16.0ms (60.6% of total)adjust: 4.0ms (15.1% of total)ival-sub: 4.0ms (15.1% of total)ival-add: 3.0ms (11.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (/.f64 x (+.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)) |
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
x |
(* x (+ 1 (* -1 x))) |
(* x (+ 1 (* x (- x 1)))) |
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))) |
(+ 1 x) |
-1 |
(- (* -2 x) 1) |
(- (* x (- (* -2 x) 2)) 1) |
(- (* x (- (* x (- (* -2 x) 2)) 2)) 1) |
(/ -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) |
(- 1 (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) |
(* x (+ 1 (/ 1 x))) |
(+ 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 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ x (+ x 1)) (+ x 1) (/ (+ x 1) (- x 1))) |
| 1.0ms | x | @ | -inf | ((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ x (+ x 1)) (+ x 1) (/ (+ x 1) (- x 1))) |
| 1.0ms | x | @ | 0 | ((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ x (+ x 1)) (+ x 1) (/ (+ x 1) (- x 1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 272 |
| 1 | 262 | 263 |
| 2 | 587 | 251 |
| 3 | 1514 | 235 |
| 4 | 3759 | 233 |
| 5 | 6729 | 233 |
| 0 | 8127 | 222 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
x |
(* x (+ 1 (* -1 x))) |
(* x (+ 1 (* x (- x 1)))) |
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))) |
(+ 1 x) |
-1 |
(- (* -2 x) 1) |
(- (* x (- (* -2 x) 2)) 1) |
(- (* x (- (* x (- (* -2 x) 2)) 2)) 1) |
(/ -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) |
(- 1 (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) |
(* x (+ 1 (/ 1 x))) |
(+ 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 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 x))) |
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
x |
(* x (+ 1 (* -1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) x) |
(* x (+ 1 (* x (- x 1)))) |
(*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) x)) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
-1 |
#s(literal -1 binary64) |
(- (* -2 x) 1) |
(fma.f64 #s(literal -2 binary64) x #s(literal -1 binary64)) |
(- (* x (- (* -2 x) 2)) 1) |
(fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) x #s(literal -1 binary64)) |
(- (* x (- (* x (- (* -2 x) 2)) 2)) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) x #s(literal -2 binary64)) x #s(literal -1 binary64)) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x)) |
(- 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)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* 2 (/ 1 x))) |
(-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) |
(+ 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 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 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 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 28 |
| 0 | 12 | 28 |
| 1 | 67 | 28 |
| 2 | 704 | 28 |
| 0 | 8093 | 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 x (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))) (pow.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) (pow.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x))) (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x))) (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (fma.f64 (/.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))))))) |
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(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) |
(pow.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) |
Compiled 11 740 to 1 315 computations (88.8% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 405 | 7 | 412 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 405 | 8 | 413 |
| Status | Accuracy | Program |
|---|---|---|
| 47.8% | (/.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) | |
| ✓ | 50.0% | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| ▶ | 46.6% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))) |
| ▶ | 46.3% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
| 54.4% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) | |
| ▶ | 55.0% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) |
| ▶ | 46.2% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
| ▶ | 47.0% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
Compiled 289 to 167 computations (42.2% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 x x #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (+.f64 #s(literal 3 binary64) x) | |
| cost-diff | 0 | (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal -3 binary64) x) | |
| cost-diff | 0 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 138 |
| 0 | 29 | 138 |
| 1 | 50 | 138 |
| 2 | 95 | 138 |
| 3 | 197 | 138 |
| 4 | 384 | 138 |
| 5 | 481 | 138 |
| 6 | 608 | 138 |
| 7 | 876 | 138 |
| 8 | 1573 | 138 |
| 9 | 2891 | 138 |
| 10 | 3248 | 138 |
| 11 | 3581 | 138 |
| 12 | 3660 | 138 |
| 13 | 3706 | 138 |
| 14 | 3742 | 138 |
| 15 | 3742 | 138 |
| 0 | 3742 | 138 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) |
(/.f64 #s(literal -3 binary64) x) |
#s(literal -3 binary64) |
x |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
#s(literal 3 binary64) |
x |
#s(literal 1 binary64) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))) |
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)) |
(+.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
#s(literal 1 binary64) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
#s(literal 3 binary64) |
| Outputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) |
(/.f64 #s(literal -3 binary64) x) |
#s(literal -3 binary64) |
x |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
#s(literal 3 binary64) |
x |
#s(literal 1 binary64) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)) |
(fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64)) |
(+.f64 #s(literal 3 binary64) x) |
(-.f64 x #s(literal -3 binary64)) |
#s(literal 3 binary64) |
x |
#s(literal 1 binary64) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
#s(literal 3 binary64) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fma.f64 x x #s(literal 1 binary64)) | |
| accuracy | 0.0 | (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) | |
| accuracy | 0.0546875 | (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) | |
| accuracy | 34.43236397587992 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) | |
| accuracy | 0.0 | (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)) | |
| accuracy | 0.0 | (+.f64 #s(literal 3 binary64) x) | |
| accuracy | 34.163986038735004 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))) | |
| accuracy | 0.0 | (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) | |
| accuracy | 34.36938048475297 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) | |
| accuracy | 33.89840732030653 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (/.f64 #s(literal -3 binary64) x) | |
| accuracy | 28.809077995519207 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) |
| 30.0ms | 68× | 2 | valid |
| 26.0ms | 121× | 0 | valid |
| 17.0ms | 67× | 1 | valid |
Compiled 256 to 41 computations (84% saved)
ival-add: 14.0ms (28% of total)ival-mult: 14.0ms (28% of total)ival-div: 8.0ms (16% of total)adjust: 8.0ms (16% of total)ival-sub: 4.0ms (8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) |
(/.f64 #s(literal -3 binary64) x) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))) |
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)) |
(+.f64 #s(literal 3 binary64) x) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
| Outputs |
|---|
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(/ -3 x) |
3 |
(+ 3 x) |
(+ 1 (pow x 2)) |
(* -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) |
(* x (+ 3 (/ 1 x))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
x |
(* x (+ 1 (* 3 (/ 1 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)))))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))) x)) 3))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | x | @ | -inf | ((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ -3 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ (* 3 x) 1) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ (* (+ 3 x) x) 1) (+ 3 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* (+ (* x x) 1) (+ (* 3 x) 1)) (+ (* x x) 1)) |
| 1.0ms | x | @ | inf | ((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ -3 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ (* 3 x) 1) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ (* (+ 3 x) x) 1) (+ 3 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* (+ (* x x) 1) (+ (* 3 x) 1)) (+ (* x x) 1)) |
| 1.0ms | x | @ | 0 | ((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ -3 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ (* 3 x) 1) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ (* (+ 3 x) x) 1) (+ 3 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* (+ (* x x) 1) (+ (* 3 x) 1)) (+ (* x x) 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 212 |
| 1 | 214 | 204 |
| 2 | 610 | 185 |
| 3 | 2404 | 185 |
| 4 | 7442 | 185 |
| 0 | 8232 | 168 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(/ -3 x) |
3 |
(+ 3 x) |
(+ 1 (pow x 2)) |
(* -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) |
(* x (+ 3 (/ 1 x))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
x |
(* x (+ 1 (* 3 (/ 1 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)))))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) 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))) |
| 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 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
3 |
#s(literal 3 binary64) |
(+ 3 x) |
(+.f64 #s(literal 3 binary64) x) |
(+ 1 (pow x 2)) |
(fma.f64 x x #s(literal 1 binary64)) |
(* -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 (+.f64 #s(literal 3 binary64) x) x) x)) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) x)) x) #s(literal 3 binary64)) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 (/ 1 x))) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(*.f64 (+.f64 #s(literal 3 binary64) x) x) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)) |
x |
(* x (+ 1 (* 3 (/ 1 x)))) |
(+.f64 #s(literal 3 binary64) x) |
(* 3 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) |
(* (pow x 3) (+ 3 (/ 1 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) x) |
(* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2))))) |
(*.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64) x) x) |
(* (pow x 3) (+ 3 (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ 3 (pow x 2)))))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3 binary64) x) x) x)) x) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) x)) x) #s(literal 3 binary64)) x) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3))) |
(*.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64) x) x) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))) x)) 3))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 122 |
| 0 | 29 | 122 |
| 1 | 143 | 122 |
| 2 | 1316 | 122 |
| 0 | 8642 | 122 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) |
(/.f64 #s(literal -3 binary64) x) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))) |
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)) |
(+.f64 #s(literal 3 binary64) x) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -3 binary64)) |
(*.f64 #s(literal 3 binary64) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x)) |
(pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal -1/3 binary64)))) |
(/.f64 #s(literal 3 binary64) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 #s(literal 3 binary64) (neg.f64 x)) |
(/.f64 #s(literal -3 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal -1/3 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))) |
(neg.f64 (/.f64 #s(literal 3 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64)) #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 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 #s(literal 3 binary64) x))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))))) |
(/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))) |
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 #s(literal 3 binary64) x)))) |
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 #s(literal 3 binary64) x))) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 #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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)))) |
(-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) x) x)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal -1 binary64))) (pow.f64 (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) x) x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 3 binary64) x) x)))) |
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #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 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 x x #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 x x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 x x)) |
Compiled 9 714 to 1 018 computations (89.5% saved)
9 alts after pruning (3 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 292 | 1 | 293 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 292 | 9 | 301 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 47.8% | (/.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| ✓ | 50.0% | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| ✓ | 46.6% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))) |
| ✓ | 46.3% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
| ▶ | 54.4% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) |
| ▶ | 54.7% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))) |
| ✓ | 55.0% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) |
| ✓ | 46.2% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
| ✓ | 47.0% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
Compiled 170 to 99 computations (41.8% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (/.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 192 | (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) | |
| cost-diff | 192 | (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) | |
| cost-diff | 832 | (-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) | |
| cost-diff | 0 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) | |
| cost-diff | 0 | (*.f64 x #s(literal -1/3 binary64)) | |
| cost-diff | 0 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 145 |
| 0 | 41 | 145 |
| 1 | 83 | 135 |
| 2 | 223 | 126 |
| 3 | 862 | 124 |
| 4 | 3852 | 116 |
| 0 | 8221 | 109 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))) |
#s(literal 1 binary64) |
(*.f64 x #s(literal -1/3 binary64)) |
x |
#s(literal -1/3 binary64) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) |
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
#s(literal 3 binary64) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) |
(neg.f64 x) |
x |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(+.f64 #s(literal 1 binary64) x) |
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))) |
(/.f64 #s(literal -3 binary64) x) |
#s(literal 1 binary64) |
(*.f64 x #s(literal -1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) x) |
x |
#s(literal -1/3 binary64) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) |
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
#s(literal 3 binary64) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) |
(-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal 2 binary64) x (-.f64 x #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) |
(fma.f64 (neg.f64 x) x x) |
(neg.f64 x) |
x |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) |
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) |
(-.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 x #s(literal -1 binary64)) |
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(fma.f64 (neg.f64 x) x #s(literal 1 binary64)) |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.015625 | (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 18.93570473771837 | (/.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) | |
| accuracy | 32.96115811069608 | (-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.0 | (/.f64 #s(literal -1 binary64) x) | |
| accuracy | 0.0 | (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) | |
| accuracy | 0.05859375 | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) | |
| accuracy | 29.19575442596083 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) | |
| accuracy | 0.2265625 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))) | |
| accuracy | 0.2890625 | (*.f64 x #s(literal -1/3 binary64)) | |
| accuracy | 28.809077995519207 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))) |
| 33.0ms | 79× | 2 | valid |
| 24.0ms | 119× | 0 | valid |
| 18.0ms | 58× | 1 | valid |
Compiled 284 to 53 computations (81.3% saved)
ival-div: 14.0ms (24.7% of total)ival-sub: 10.0ms (17.7% of total)adjust: 10.0ms (17.7% of total)ival-mult: 10.0ms (17.7% of total)ival-add: 6.0ms (10.6% of total)const: 5.0ms (8.8% of total)ival-neg: 1.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))) |
(*.f64 x #s(literal -1/3 binary64)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) |
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) |
(/.f64 #s(literal -1 binary64) x) |
(-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) |
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(/ -3 x) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(* -1/3 x) |
(/ -1 (pow x 2)) |
(/ (- (* -3 x) 1) (pow x 2)) |
(/ -1 x) |
(/ (- (* -3 x) 1) x) |
-1 |
(- (* -1 x) 1) |
(+ 1 (* -1 (pow x 2))) |
(- (* -2 x) 1) |
(- (* x (- (* -1 x) 2)) 1) |
(* -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 |
(* -1 (+ 3 (/ 1 x))) |
(* 3 x) |
(* x (+ 3 (/ 1 x))) |
(* -1 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* -1 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))) |
(* (pow x 2) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | ((/ 1 (* x -1/3)) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* x -1/3) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (- (/ -1 x) 3) x) (- (/ -1 x) 3) (/ -1 x) (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (+ (* -1 x) -1) (* (+ (* -1 x) -1) (- x 1)) (/ (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (* (+ (* -1 x) -1) (- x 1))) (* (+ (* -1 x) -1) (+ 1 x))) |
| 3.0ms | x | @ | inf | ((/ 1 (* x -1/3)) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* x -1/3) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (- (/ -1 x) 3) x) (- (/ -1 x) 3) (/ -1 x) (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (+ (* -1 x) -1) (* (+ (* -1 x) -1) (- x 1)) (/ (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (* (+ (* -1 x) -1) (- x 1))) (* (+ (* -1 x) -1) (+ 1 x))) |
| 2.0ms | x | @ | 0 | ((/ 1 (* x -1/3)) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* x -1/3) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (- (/ -1 x) 3) x) (- (/ -1 x) 3) (/ -1 x) (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (+ (* -1 x) -1) (* (+ (* -1 x) -1) (- x 1)) (/ (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (* (+ (* -1 x) -1) (- x 1))) (* (+ (* -1 x) -1) (+ 1 x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 199 |
| 1 | 210 | 183 |
| 2 | 499 | 170 |
| 3 | 1417 | 170 |
| 4 | 3837 | 170 |
| 5 | 7520 | 170 |
| 0 | 8118 | 160 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -3 x) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(* -1/3 x) |
(/ -1 (pow x 2)) |
(/ (- (* -3 x) 1) (pow x 2)) |
(/ -1 x) |
(/ (- (* -3 x) 1) x) |
-1 |
(- (* -1 x) 1) |
(+ 1 (* -1 (pow x 2))) |
(- (* -2 x) 1) |
(- (* x (- (* -1 x) 2)) 1) |
(* -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 |
(* -1 (+ 3 (/ 1 x))) |
(* 3 x) |
(* x (+ 3 (/ 1 x))) |
(* -1 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* -1 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))) |
(* (pow x 2) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
| Outputs |
|---|
(/ -3 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 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(* -1/3 x) |
(*.f64 #s(literal -1/3 binary64) x) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (* -3 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) 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)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(+ 1 (* -1 (pow x 2))) |
(fma.f64 (neg.f64 x) x #s(literal 1 binary64)) |
(- (* -2 x) 1) |
(fma.f64 #s(literal -2 binary64) x #s(literal -1 binary64)) |
(- (* x (- (* -1 x) 2)) 1) |
(fma.f64 (-.f64 #s(literal -2 binary64) x) x #s(literal -1 binary64)) |
(* -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 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) x) #s(literal 3 binary64)) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 x (/.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)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 (/ 1 x))) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(fma.f64 (neg.f64 x) x #s(literal 1 binary64)) |
(* -1 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))) |
(*.f64 (-.f64 #s(literal -2 binary64) x) x) |
(* (pow x 2) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1)) |
(fma.f64 (-.f64 #s(literal -2 binary64) x) x #s(literal -1 binary64)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) x) #s(literal 3 binary64)) x) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 x (/.f64 #s(literal -1 binary64) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 122 |
| 0 | 41 | 122 |
| 1 | 201 | 101 |
| 2 | 2166 | 96 |
| 0 | 9524 | 94 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))) |
(*.f64 x #s(literal -1/3 binary64)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) |
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) |
(/.f64 #s(literal -1 binary64) x) |
(-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) |
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(*.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -3 binary64)) |
(*.f64 (/.f64 #s(literal -3 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal -1/3 binary64) x))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 #s(literal -1/3 binary64) x)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1/3 binary64)) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/3 binary64)) |
(/.f64 #s(literal 3 binary64) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/3 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 1/3 binary64) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) x)) |
(neg.f64 (/.f64 #s(literal 3 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/3 binary64) x)) #s(literal -1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) |
(*.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/3 binary64) x) |
(*.f64 x #s(literal -1/3 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) x)) |
(pow.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -3 binary64) x))) |
(/.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -3 binary64) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/3 binary64) x)) #s(literal -1 binary64)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 27 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 27 binary64)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -3 binary64) x)) #s(literal -1 binary64)) |
(*.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -3 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 3 binary64) x)))) |
(*.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal -27 binary64) (pow.f64 x #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -3 binary64) x) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 #s(literal 3 binary64) x)))))) |
(*.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)) x))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 27 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x)) x))) |
(*.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) x) (*.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x))))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x))))) |
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) |
(pow.f64 (/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal -27 binary64) (pow.f64 x #s(literal -3 binary64)))) (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -3 binary64) x) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 #s(literal -3 binary64) x))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal -1 binary64)))) (neg.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 27 binary64)) (pow.f64 x #s(literal -1 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -3 binary64) x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 3 binary64) x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal -27 binary64) (pow.f64 x #s(literal -3 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -3 binary64) x) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 #s(literal 3 binary64) x)))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)) x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 27 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x)) x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) x) (*.f64 x #s(literal 3 binary64)))) (neg.f64 (*.f64 x x))) |
(/.f64 (-.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -3 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 27 binary64)) (pow.f64 x #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x))) |
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -3 binary64) x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -3 binary64) x) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 3 binary64) x))) |
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(fma.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (fma.f64 x x x)) |
(fma.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x))) |
(fma.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) (fma.f64 x x x)) |
(fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x))) |
(fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (fma.f64 x x x)) |
(fma.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x))) |
(fma.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x x)) |
(fma.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x))) |
(fma.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 x x x)) |
(fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x))) |
(fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x x)) |
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) #s(literal -1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 x x x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (fma.f64 x x x)) |
(fma.f64 (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)) (neg.f64 x))) |
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (fma.f64 x x x)) |
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x))) |
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x x)) |
(fma.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x))) |
(fma.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (fma.f64 x x x)) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x) (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x))) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x) (fma.f64 x x x)) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x x)) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 x x x)) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 x x x)) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 1 binary64)))) (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x))) |
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 1 binary64)))) (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 1 binary64)))) (fma.f64 x x x)) |
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x))) |
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (fma.f64 x x x)) |
(fma.f64 (fma.f64 x x x) #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) |
(fma.f64 (-.f64 #s(literal -1 binary64) x) (neg.f64 x) (-.f64 #s(literal -1 binary64) x)) |
(fma.f64 (-.f64 #s(literal -1 binary64) x) x (-.f64 #s(literal -1 binary64) x)) |
(fma.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x))) |
(fma.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64) (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64) (fma.f64 x x x)) |
(fma.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) |
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1 binary64) (fma.f64 x x x) (-.f64 #s(literal -1 binary64) x)) |
(fma.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x))) |
(fma.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x) (-.f64 #s(literal -1 binary64) x)) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x))) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64) (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64) (fma.f64 x x x)) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) x (-.f64 #s(literal -1 binary64) x)) |
(fma.f64 x (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) |
(fma.f64 x (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) |
(fma.f64 x x #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x) (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x))) |
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x) (fma.f64 x x x)) |
(expm1.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x x))) (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(-.f64 (*.f64 x x) #s(literal 1 binary64)) |
(-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))) |
(+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x)) (-.f64 #s(literal -1 binary64) x)) |
(+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 #s(literal -1 binary64) x)) |
(+.f64 (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x)) |
(+.f64 (*.f64 x x) #s(literal -1 binary64)) |
(+.f64 (fma.f64 x x x) (-.f64 #s(literal -1 binary64) x)) |
(+.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x))) |
(+.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64)))) |
(+.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x x)) |
(+.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x)) |
Compiled 39 256 to 3 801 computations (90.3% saved)
12 alts after pruning (5 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 206 | 5 | 1 211 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 1 | 5 | 6 |
| Total | 1 208 | 12 | 1 220 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 47.8% | (/.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64)))) |
| ▶ | 70.4% | (/.f64 #s(approx (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| ✓ | 46.6% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))) |
| ✓ | 46.3% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
| ▶ | 54.7% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64))) |
| ✓ | 54.4% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) |
| ▶ | 54.2% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))))) |
| ▶ | 54.8% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64)))) |
| ✓ | 54.7% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))) |
| ✓ | 55.0% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) |
| ✓ | 46.2% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
| ✓ | 47.0% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
Compiled 361 to 224 computations (38% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (/.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 192 | (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))) | |
| cost-diff | 192 | (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) | |
| cost-diff | 832 | (-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) | |
| cost-diff | 0 | (/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) | |
| cost-diff | 0 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) | |
| cost-diff | 0 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64))) | |
| cost-diff | 704 | (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64)))) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64))) | |
| cost-diff | 384 | (/.f64 x #s(literal -3 binary64)) | |
| cost-diff | 0 | #s(approx (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 192 | (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) | |
| cost-diff | 192 | (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 260 |
| 0 | 62 | 251 |
| 1 | 110 | 243 |
| 2 | 259 | 228 |
| 3 | 910 | 226 |
| 4 | 3977 | 202 |
| 5 | 7746 | 202 |
| 0 | 8148 | 191 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
#s(approx (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
#s(literal 3 binary64) |
x |
#s(literal 1 binary64) |
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(-.f64 x #s(literal 1 binary64)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64))) |
#s(literal 1 binary64) |
(/.f64 x #s(literal -3 binary64)) |
x |
#s(literal -3 binary64) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
#s(literal 1/3 binary64) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))) |
#s(literal 1 binary64) |
(/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) |
x |
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
#s(literal 3 binary64) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) |
(neg.f64 x) |
x |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(+.f64 #s(literal 1 binary64) x) |
(*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))) |
(-.f64 #s(literal -1 binary64) x) |
| Outputs |
|---|
(/.f64 #s(approx (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
#s(approx (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
#s(literal 3 binary64) |
x |
#s(literal 1 binary64) |
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(fma.f64 (neg.f64 x) x #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) |
(-.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
(-.f64 x #s(literal 1 binary64)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64))) |
(/.f64 #s(literal -3 binary64) x) |
#s(literal 1 binary64) |
(/.f64 x #s(literal -3 binary64)) |
(*.f64 #s(literal -1/3 binary64) x) |
x |
#s(literal -3 binary64) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64)) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
#s(literal 1/3 binary64) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) |
#s(literal 1 binary64) |
(/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) |
x |
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
#s(literal 3 binary64) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) |
(-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal 2 binary64) x (-.f64 x #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) |
(fma.f64 (neg.f64 x) x x) |
(neg.f64 x) |
x |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) |
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) |
(-.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 x #s(literal -1 binary64)) |
(*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))) |
(fma.f64 (neg.f64 x) x #s(literal 1 binary64)) |
(-.f64 #s(literal -1 binary64) x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.015625 | (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 18.93570473771837 | (/.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64)))) | |
| accuracy | 32.96115811069608 | (-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.0 | (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) | |
| accuracy | 0.07421875 | (/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) | |
| accuracy | 0.19921875 | (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))) | |
| accuracy | 29.19575442596083 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))))) | |
| accuracy | 0.0 | (/.f64 #s(literal -1 binary64) x) | |
| accuracy | 0.37890625 | (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64)) | |
| accuracy | 28.809077995519207 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64))) | |
| accuracy | 0.0 | (/.f64 x #s(literal -3 binary64)) | |
| accuracy | 0.2265625 | (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64))) | |
| accuracy | 28.809077995519207 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64)))) | |
| accuracy | 0.0 | (-.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.0 | #s(approx (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) | |
| accuracy | 0.01171875 | (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 18.93570473771837 | (/.f64 #s(approx (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| 53.0ms | 79× | 2 | valid |
| 38.0ms | 58× | 1 | valid |
| 27.0ms | 119× | 0 | valid |
Compiled 502 to 78 computations (84.5% saved)
ival-div: 35.0ms (41.7% of total)ival-mult: 15.0ms (17.9% of total)adjust: 12.0ms (14.3% of total)ival-sub: 9.0ms (10.7% of total)ival-add: 7.0ms (8.3% of total)const: 4.0ms (4.8% of total)exact: 1.0ms (1.2% of total)ival-neg: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) |
(/.f64 #s(approx (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
#s(approx (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(/.f64 x #s(literal -3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64))) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))))) |
(/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) |
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) |
(-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 x #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
1 |
(+ 1 (* -1 (pow x 2))) |
-1 |
(- (* -1 x) 1) |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(* -1/3 x) |
(/ -3 x) |
(/ -1 x) |
(/ -1 (pow x 2)) |
(/ (- (* -3 x) 1) (pow x 2)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* 3 x) 1)) |
(* (pow x 2) (- (* x (+ 3 (* -9 x))) 1)) |
(* (pow x 2) (- (* x (+ 3 (* x (- (* 27 x) 9)))) 1)) |
(/ (- (* -3 x) 1) x) |
(- x 1) |
(- (* -2 x) 1) |
(- (* x (- (* -1 x) 2)) 1) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* -1 x) |
(* -1 (* x (+ 1 (/ 1 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) |
(* x (+ 3 (/ 1 x))) |
(* x (- (* 1/9 (/ 1 x)) 1/3)) |
(* x (- (* 1/9 (/ 1 x)) (+ 1/3 (/ 1/27 (pow x 2))))) |
(* x (- (+ (* 1/9 (/ 1 x)) (* 1/81 (/ 1 (pow x 3)))) (+ 1/3 (/ 1/27 (pow x 2))))) |
-3 |
(* -1 (+ 3 (/ 1 x))) |
x |
(* x (- 1 (/ 1 x))) |
(* -1 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))) |
(* (pow x 2) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x))))) |
(* -1 (* x (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))))) |
(* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* -1 (/ (- 1/27 (* 1/81 (/ 1 x))) x))) x))))) |
(* -1 (* x (- (/ 1 x) 1))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | ((* (+ (* -1 x) -1) (- x 1)) (+ (* -1 x) -1) (/ (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (* (+ (* -1 x) -1) (- x 1))) (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (/ x -3) (/ 1 (/ x -3)) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (/ -1 x) 1/3) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ -1 x) (/ 1 (/ x (- (/ -1 x) 3))) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ x (- (/ -1 x) 3)) (- (/ -1 x) 3) (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (* (- -1 x) (- x 1)) (/ (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (* (- -1 x) (- x 1))) (- x 1) (* (+ (* -1 x) -1) (+ 1 x))) |
| 2.0ms | x | @ | inf | ((* (+ (* -1 x) -1) (- x 1)) (+ (* -1 x) -1) (/ (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (* (+ (* -1 x) -1) (- x 1))) (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (/ x -3) (/ 1 (/ x -3)) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (/ -1 x) 1/3) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ -1 x) (/ 1 (/ x (- (/ -1 x) 3))) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ x (- (/ -1 x) 3)) (- (/ -1 x) 3) (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (* (- -1 x) (- x 1)) (/ (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (* (- -1 x) (- x 1))) (- x 1) (* (+ (* -1 x) -1) (+ 1 x))) |
| 2.0ms | x | @ | -inf | ((* (+ (* -1 x) -1) (- x 1)) (+ (* -1 x) -1) (/ (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (* (+ (* -1 x) -1) (- x 1))) (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (/ x -3) (/ 1 (/ x -3)) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (/ -1 x) 1/3) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ -1 x) (/ 1 (/ x (- (/ -1 x) 3))) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ x (- (/ -1 x) 3)) (- (/ -1 x) 3) (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (* (- -1 x) (- x 1)) (/ (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (* (- -1 x) (- x 1))) (- x 1) (* (+ (* -1 x) -1) (+ 1 x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 137 | 332 |
| 1 | 393 | 307 |
| 2 | 1024 | 291 |
| 3 | 2907 | 277 |
| 4 | 7220 | 277 |
| 0 | 8227 | 258 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -1 (pow x 2))) |
-1 |
(- (* -1 x) 1) |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(* -1/3 x) |
(/ -3 x) |
(/ -1 x) |
(/ -1 (pow x 2)) |
(/ (- (* -3 x) 1) (pow x 2)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* 3 x) 1)) |
(* (pow x 2) (- (* x (+ 3 (* -9 x))) 1)) |
(* (pow x 2) (- (* x (+ 3 (* x (- (* 27 x) 9)))) 1)) |
(/ (- (* -3 x) 1) x) |
(- x 1) |
(- (* -2 x) 1) |
(- (* x (- (* -1 x) 2)) 1) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* -1 x) |
(* -1 (* x (+ 1 (/ 1 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) |
(* x (+ 3 (/ 1 x))) |
(* x (- (* 1/9 (/ 1 x)) 1/3)) |
(* x (- (* 1/9 (/ 1 x)) (+ 1/3 (/ 1/27 (pow x 2))))) |
(* x (- (+ (* 1/9 (/ 1 x)) (* 1/81 (/ 1 (pow x 3)))) (+ 1/3 (/ 1/27 (pow x 2))))) |
-3 |
(* -1 (+ 3 (/ 1 x))) |
x |
(* x (- 1 (/ 1 x))) |
(* -1 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))) |
(* (pow x 2) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x))))) |
(* -1 (* x (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))))) |
(* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* -1 (/ (- 1/27 (* 1/81 (/ 1 x))) x))) x))))) |
(* -1 (* x (- (/ 1 x) 1))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (pow x 2))) |
(fma.f64 (neg.f64 x) x #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(+ 1 (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 x))) |
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(* -1/3 x) |
(*.f64 #s(literal -1/3 binary64) x) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (* -3 x) 1) (pow x 2)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (* 3 x) 1)) |
(*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64)) x) x) |
(* (pow x 2) (- (* x (+ 3 (* -9 x))) 1)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64)) x) x) |
(* (pow x 2) (- (* x (+ 3 (* x (- (* 27 x) 9)))) 1)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)) x #s(literal -1 binary64)) x) x) |
(/ (- (* -3 x) 1) x) |
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- (* -2 x) 1) |
(fma.f64 #s(literal -2 binary64) x #s(literal -1 binary64)) |
(- (* x (- (* -1 x) 2)) 1) |
(fma.f64 (-.f64 #s(literal -2 binary64) x) x #s(literal -1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(fma.f64 (neg.f64 x) x #s(literal 1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) x)) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x 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 (- (* 1/9 (/ 1 x)) 1/3)) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) |
(* x (- (* 1/9 (/ 1 x)) (+ 1/3 (/ 1/27 (pow x 2))))) |
(fma.f64 #s(literal -1/3 binary64) x (-.f64 (/.f64 #s(literal -1/27 binary64) x) #s(literal -1/9 binary64))) |
(* x (- (+ (* 1/9 (/ 1 x)) (* 1/81 (/ 1 (pow x 3)))) (+ 1/3 (/ 1/27 (pow x 2))))) |
(fma.f64 #s(literal -1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1/81 binary64) x)) x))) |
-3 |
#s(literal -3 binary64) |
(* -1 (+ 3 (/ 1 x))) |
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) |
x |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))) |
(*.f64 (-.f64 #s(literal -2 binary64) x) x) |
(* (pow x 2) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1)) |
(fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) x (*.f64 (neg.f64 x) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) x)) x) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x))))) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) |
(* -1 (* x (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))))) |
(fma.f64 #s(literal -1/3 binary64) x (-.f64 (/.f64 #s(literal -1/27 binary64) x) #s(literal -1/9 binary64))) |
(* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* -1 (/ (- 1/27 (* 1/81 (/ 1 x))) x))) x))))) |
(fma.f64 #s(literal -1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1/81 binary64) x)) x))) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 215 |
| 0 | 62 | 207 |
| 1 | 276 | 179 |
| 2 | 2697 | 169 |
| 0 | 9587 | 165 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) |
(/.f64 #s(approx (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
#s(approx (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(/.f64 x #s(literal -3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64))) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))))) |
(/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) |
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) |
(-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 x #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) |
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
(pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 x x x) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.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 (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) (*.f64 (-.f64 #s(literal 1 binary64) x) x) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) x))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (neg.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x)) |
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(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 x))) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x) (fma.f64 x x x)) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 x))) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (fma.f64 x x x)) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 x))) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) |
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) x (-.f64 x #s(literal 1 binary64))) |
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) #s(literal -1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x x)) |
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 x))) |
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (fma.f64 x x x)) |
(fma.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 #s(literal 1 binary64) x) (neg.f64 x))) |
(fma.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 (neg.f64 x) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 x))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x x)) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 x))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 x x x)) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 x x x) #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) |
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) |
(fma.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 x) (-.f64 x #s(literal 1 binary64))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 x #s(literal 1 binary64))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) (fma.f64 x x x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 x))) |
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 x) (-.f64 x #s(literal 1 binary64))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 x))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (fma.f64 x x x)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal 1 binary64))) |
(fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) |
(fma.f64 x (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal -1 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1 binary64) (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 x))) |
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x) (fma.f64 x x x)) |
(expm1.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x))) (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)))) |
(-.f64 (*.f64 x x) #s(literal 1 binary64)) |
(-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64))) |
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 x)) (-.f64 x #s(literal 1 binary64))) |
(+.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) |
(+.f64 (*.f64 x x) #s(literal -1 binary64)) |
(+.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))) |
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) |
(+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 x))) |
(+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x))) |
(+.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) |
Compiled 32 671 to 3 217 computations (90.2% saved)
10 alts after pruning (2 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 984 | 2 | 986 |
| Fresh | 0 | 0 | 0 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 7 | 7 |
| Total | 988 | 10 | 998 |
| Status | Accuracy | Program |
|---|---|---|
| 70.4% | (/.f64 (neg.f64 #s(approx (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64))) | |
| ✓ | 46.6% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))) |
| ✓ | 46.3% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
| ✓ | 54.7% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64))) |
| ✓ | 54.4% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) |
| ✓ | 54.7% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))) |
| 61.1% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (/ -1 x) 3)) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) | |
| ✓ | 55.0% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) |
| ✓ | 46.2% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
| ✓ | 47.0% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
Compiled 546 to 207 computations (62.1% saved)
| Inputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (/ -1 x) 3)) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) |
(/.f64 (neg.f64 #s(approx (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 #s(approx (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) |
(/.f64 (neg.f64 #s(approx (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64))) |
2 calls:
| 6.0ms | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| 5.0ms | x |
| 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 14 to 8 computations (42.9% saved)
| Inputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (/ -1 x) 3)) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) |
| Outputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))) |
1 calls:
| 3.0ms | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 2 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
Compiled 13 to 7 computations (46.2% saved)
| Inputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (/ -1 x) 3)) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64))) |
| Outputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (/ -1 x) 3)) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) 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 |
|---|---|---|
| 99.1% | 2 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
Compiled 13 to 7 computations (46.2% saved)
| Inputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) 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 |
|---|---|---|
| 99.0% | 2 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
Compiled 13 to 7 computations (46.2% saved)
Total -0.8b remaining (-2.3%)
Threshold costs -0.8b (-2.3%)
| Inputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
2 calls:
| 9.0ms | 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 |
|---|---|---|
| 47.0% | 1 | x |
| 47.0% | 1 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
Compiled 14 to 8 computations (42.9% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.876667096340384e-10 | 0.9605233699099862 |
Compiled 16 to 11 computations (31.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.876667096340384e-10 | 0.9605233699099862 |
Compiled 16 to 11 computations (31.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.876667096340384e-10 | 0.9605233699099862 |
Compiled 16 to 11 computations (31.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.876667096340384e-10 | 0.9605233699099862 |
Compiled 16 to 11 computations (31.3% saved)
| 1× | egg-herbie |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 252 |
| 1 | 93 | 251 |
| 2 | 210 | 250 |
| 3 | 577 | 250 |
| 4 | 1892 | 250 |
| 5 | 4641 | 244 |
| 6 | 7061 | 244 |
| 1× | node limit |
| 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 4835703278458517/4835703278458516698824704 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) (/.f64 (neg.f64 #s(approx (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (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 4835703278458517/4835703278458516698824704 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) 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 4835703278458517/4835703278458516698824704 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (/ -1 x) 3)) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) 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 4835703278458517/4835703278458516698824704 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #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 4835703278458517/4835703278458516698824704 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) (/.f64 (neg.f64 #s(approx (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (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 4835703278458517/4835703278458516698824704 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) (/.f64 #s(approx (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) (neg.f64 (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 4835703278458517/4835703278458516698824704 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) 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 4835703278458517/4835703278458516698824704 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (/ -1 x) 3)) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) 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 4835703278458517/4835703278458516698824704 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (pow.f64 #s(approx (/ x (- (/ -1 x) 3)) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -1 binary64))) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) 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 4835703278458517/4835703278458516698824704 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 137 | 332 |
| 1 | 393 | 307 |
| 2 | 1024 | 291 |
| 3 | 2907 | 277 |
| 4 | 7220 | 277 |
| 0 | 8227 | 258 |
| 0 | 77 | 199 |
| 1 | 210 | 183 |
| 2 | 499 | 170 |
| 3 | 1417 | 170 |
| 4 | 3837 | 170 |
| 5 | 7520 | 170 |
| 0 | 8118 | 160 |
| 0 | 95 | 272 |
| 1 | 262 | 263 |
| 2 | 587 | 251 |
| 3 | 1514 | 235 |
| 4 | 3759 | 233 |
| 5 | 6729 | 233 |
| 0 | 8127 | 222 |
| 0 | 26 | 122 |
| 0 | 41 | 122 |
| 1 | 201 | 101 |
| 2 | 2166 | 96 |
| 0 | 9524 | 94 |
| 0 | 42 | 215 |
| 0 | 62 | 207 |
| 1 | 276 | 179 |
| 2 | 2697 | 169 |
| 0 | 9587 | 165 |
| 0 | 7 | 28 |
| 0 | 12 | 28 |
| 1 | 67 | 28 |
| 2 | 704 | 28 |
| 0 | 8093 | 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 373 to 143 computations (61.7% saved)
Compiled 532 to 124 computations (76.7% saved)
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