
Time bar (total: 5.5s)
| 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)
| 424.0ms | 1 528× | 2 | valid |
| 284.0ms | 2 436× | 1 | valid |
| 219.0ms | 4 292× | 0 | valid |
ival-div: 207.0ms (36.4% of total)ival-sub: 146.0ms (25.7% of total)adjust: 111.0ms (19.5% of total)ival-add: 90.0ms (15.8% of total)ival-true: 6.0ms (1.1% of total)exact: 5.0ms (0.9% of total)ival-assert: 4.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 135 | 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 | 135 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 135 | 0 |
| - | 0 | 121 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 135 | 0 | 0 |
| - | 0 | 0 | 121 |
| number | freq |
|---|---|
| 0 | 121 |
| 1 | 135 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 66.0ms | 142× | 1 | valid |
| 21.0ms | 118× | 2 | valid |
| 14.0ms | 252× | 0 | valid |
Compiled 116 to 32 computations (72.4% saved)
ival-sub: 39.0ms (58.5% of total)ival-div: 12.0ms (18% of total)adjust: 10.0ms (15% of total)ival-add: 5.0ms (7.5% 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 | 26 | 31 |
| 2 | 79 | 27 |
| 3 | 271 | 26 |
| 4 | 747 | 26 |
| 5 | 1354 | 26 |
| 6 | 1636 | 26 |
| 7 | 1685 | 26 |
| 8 | 1693 | 26 |
| 0 | 7 | 13 |
| 0 | 12 | 13 |
| 1 | 23 | 13 |
| 2 | 37 | 13 |
| 3 | 78 | 13 |
| 4 | 187 | 13 |
| 5 | 366 | 13 |
| 6 | 692 | 13 |
| 7 | 1147 | 13 |
| 8 | 1356 | 13 |
| 9 | 1502 | 13 |
| 10 | 1540 | 13 |
| 0 | 1540 | 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 |
|---|---|---|
| ▶ | 51.5% | (-.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)
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 | 31.049327578842302 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| 15.0ms | 71× | 1 | valid |
| 11.0ms | 59× | 2 | valid |
| 7.0ms | 126× | 0 | valid |
Compiled 68 to 16 computations (76.5% saved)
adjust: 12.0ms (48.4% of total)ival-div: 6.0ms (24.2% of total)ival-sub: 4.0ms (16.1% of total)ival-add: 3.0ms (12.1% 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 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 x (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
-1 |
(- (* -2 x) 1) |
(- (* x (- (* -2 x) 2)) 1) |
(- (* x (- (* x (- (* -2 x) 2)) 2)) 1) |
x |
(* x (+ 1 (* -1 x))) |
(* x (+ 1 (* x (- x 1)))) |
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))) |
(+ 1 x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(+ 1 (* 2 (/ 1 x))) |
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) |
(- 1 (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) |
(* x (+ 1 (/ 1 x))) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) |
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (+ x 1) (- x 1)) (/ x (+ x 1)) (+ x 1)) |
| 1.0ms | x | @ | -inf | ((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (+ x 1) (- x 1)) (/ x (+ x 1)) (+ x 1)) |
| 1.0ms | x | @ | 0 | ((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (+ x 1) (- x 1)) (/ x (+ x 1)) (+ x 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 272 |
| 1 | 307 | 257 |
| 2 | 954 | 237 |
| 3 | 3464 | 235 |
| 0 | 8397 | 223 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
-1 |
(- (* -2 x) 1) |
(- (* x (- (* -2 x) 2)) 1) |
(- (* x (- (* x (- (* -2 x) 2)) 2)) 1) |
x |
(* x (+ 1 (* -1 x))) |
(* x (+ 1 (* x (- x 1)))) |
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))) |
(+ 1 x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(+ 1 (* 2 (/ 1 x))) |
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) |
(- 1 (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) |
(* x (+ 1 (/ 1 x))) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) |
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 x))) |
(fma.f64 (+.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 |
#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)) |
x |
(* x (+ 1 (* -1 x))) |
(fma.f64 (neg.f64 x) x x) |
(* x (+ 1 (* x (- x 1)))) |
(fma.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))) |
(*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) x) |
(+ 1 x) |
(-.f64 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 (/.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 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) 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 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x)) 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 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 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x)) 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 28 |
| 0 | 12 | 28 |
| 1 | 70 | 28 |
| 2 | 767 | 28 |
| 0 | 8784 | 28 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 x (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (/.f64 x (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.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 x #s(literal 1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) x)))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(*.f64 (-.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) |
(*.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))))) |
(*.f64 (fma.f64 (neg.f64 x) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))))) |
(*.f64 (-.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) |
(*.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (-.f64 x #s(literal 1 binary64))))) |
(*.f64 (-.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) |
(*.f64 (fma.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64)))))))) |
(*.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal -3 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 #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))))) |
(pow.f64 (/.f64 #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(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal 1 binary64))))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (+.f64 (-.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
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(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x))) |
(/.f64 (+.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) #s(literal -1 binary64)) |
(/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(neg.f64 (-.f64 #s(literal -1 binary64) x)) |
(fma.f64 (/.f64 (fabs.f64 x) #s(literal 1 binary64)) (/.f64 (fabs.f64 x) (-.f64 x #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (fabs.f64 x) #s(literal 1 binary64)) (/.f64 (fabs.f64 x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (fabs.f64 x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (fabs.f64 x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (fabs.f64 x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (fabs.f64 x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (fabs.f64 x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fabs.f64 x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (fabs.f64 x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fabs.f64 x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (fabs.f64 x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (fabs.f64 x) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (fabs.f64 x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (fabs.f64 x) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (neg.f64 x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (neg.f64 x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (neg.f64 x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (neg.f64 x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (neg.f64 x) (-.f64 x #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (neg.f64 x) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (neg.f64 x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (neg.f64 x) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (neg.f64 x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (neg.f64 x) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(fma.f64 (/.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 x (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 x (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (-.f64 x #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (-.f64 x #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(fma.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (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))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (neg.f64 x)) |
(-.f64 x #s(literal -1 binary64)) |
(+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(+.f64 (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(+.f64 (/.f64 (*.f64 x (-.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 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))) |
(+.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (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 x x) (-.f64 x #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
Compiled 18 744 to 1 868 computations (90% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 663 | 9 | 672 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 663 | 10 | 673 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 50.7% | (fma.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
| 51.5% | (/.f64 (fma.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x)) (-.f64 x #s(literal 1 binary64))) | |
| ✓ | 51.5% | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| ▶ | 48.1% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))) |
| 47.6% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) | |
| ▶ | 54.0% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) x) #s(literal 3 binary64)) x)) |
| 53.1% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) | |
| 53.5% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) | |
| ▶ | 47.5% | #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)))) |
| ▶ | 48.6% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
Compiled 351 to 207 computations (41% saved)
Found 16 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 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 31.561342909509463 | (fma.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64)))) | |
| 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 | 0.08984375 | (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) | |
| accuracy | 33.57848040895967 | #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 | 33.20931888471374 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))) | |
| accuracy | 32.92366586526884 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) | |
| accuracy | 0.046875 | (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) x) #s(literal 3 binary64)) x) | |
| accuracy | 0.0546875 | (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) x) | |
| accuracy | 29.469452501435207 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) x) #s(literal 3 binary64)) x)) |
| 34.0ms | 59× | 2 | valid |
| 27.0ms | 71× | 1 | valid |
| 26.0ms | 126× | 0 | valid |
Compiled 351 to 58 computations (83.5% saved)
ival-div: 17.0ms (25.7% of total)adjust: 15.0ms (22.7% of total)ival-add: 14.0ms (21.2% of total)ival-mult: 11.0ms (16.6% of total)ival-sub: 9.0ms (13.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) x) #s(literal 3 binary64)) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) x) #s(literal 3 binary64)) x) |
(-.f64 #s(literal -1 binary64) (/.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 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))) |
(+.f64 #s(literal 3 binary64) x) |
(fma.f64 (+.f64 #s(literal 3 binary64) x) 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 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 x x #s(literal 1 binary64)) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) |
(/.f64 x (-.f64 x #s(literal -1 binary64))) |
(-.f64 x #s(literal -1 binary64)) |
| Outputs |
|---|
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(/ -3 (pow x 2)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/ -3 (pow x 3)) |
(/ (- (* -1 x) 3) (pow x 3)) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3)) |
(/ -3 x) |
(/ (- (* -1 x) 3) x) |
3 |
(+ 3 x) |
(+ 1 (pow x 2)) |
(+ 1 x) |
(+ 1 (* x (+ 1 x))) |
(+ 1 (* x (+ 1 (* x (+ 1 x))))) |
x |
(* x (+ 1 (* -1 x))) |
(* x (+ 1 (* x (- x 1)))) |
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 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) |
(/ -1 x) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
-1 |
(* -1 (+ 1 (* 3 (/ 1 x)))) |
(* x (+ 1 (* 3 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
(* 3 (pow x 3)) |
(* (pow x 3) (+ 3 (/ 1 x))) |
(* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2))))) |
(* (pow x 3) (+ 3 (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ 3 (pow x 2)))))) |
(* 3 x) |
(* x (+ 3 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 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 (/ (+ 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))) |
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x)) |
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | ((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (- -1 (/ 3 x)) x) (/ (- (/ (- -1 (/ 3 x)) x) 3) x) (- -1 (/ 3 x)) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ 3 x) (+ (* (+ 3 x) x) 1) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* (+ (* x x) 1) (+ (* 3 x) 1)) (+ (* 3 x) 1) (+ (* x x) 1) (+ (* (- x -1) (/ -1 (- x 1))) (/ x (- x -1))) (/ -1 (- x 1)) (/ x (- x -1)) (- x -1)) |
| 2.0ms | x | @ | -inf | ((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (- -1 (/ 3 x)) x) (/ (- (/ (- -1 (/ 3 x)) x) 3) x) (- -1 (/ 3 x)) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ 3 x) (+ (* (+ 3 x) x) 1) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* (+ (* x x) 1) (+ (* 3 x) 1)) (+ (* 3 x) 1) (+ (* x x) 1) (+ (* (- x -1) (/ -1 (- x 1))) (/ x (- x -1))) (/ -1 (- x 1)) (/ x (- x -1)) (- x -1)) |
| 2.0ms | x | @ | inf | ((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (- -1 (/ 3 x)) x) (/ (- (/ (- -1 (/ 3 x)) x) 3) x) (- -1 (/ 3 x)) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ 3 x) (+ (* (+ 3 x) x) 1) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* (+ (* x x) 1) (+ (* 3 x) 1)) (+ (* 3 x) 1) (+ (* x x) 1) (+ (* (- x -1) (/ -1 (- x 1))) (/ x (- x -1))) (/ -1 (- x 1)) (/ x (- x -1)) (- x -1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 125 | 459 |
| 1 | 436 | 429 |
| 2 | 1516 | 398 |
| 3 | 6762 | 398 |
| 0 | 8203 | 376 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(/ -3 (pow x 2)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/ -3 (pow x 3)) |
(/ (- (* -1 x) 3) (pow x 3)) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3)) |
(/ -3 x) |
(/ (- (* -1 x) 3) x) |
3 |
(+ 3 x) |
(+ 1 (pow x 2)) |
(+ 1 x) |
(+ 1 (* x (+ 1 x))) |
(+ 1 (* x (+ 1 (* x (+ 1 x))))) |
x |
(* x (+ 1 (* -1 x))) |
(* x (+ 1 (* x (- x 1)))) |
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 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) |
(/ -1 x) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
-1 |
(* -1 (+ 1 (* 3 (/ 1 x)))) |
(* x (+ 1 (* 3 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
(* 3 (pow x 3)) |
(* (pow x 3) (+ 3 (/ 1 x))) |
(* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2))))) |
(* (pow x 3) (+ 3 (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ 3 (pow x 2)))))) |
(* 3 x) |
(* x (+ 3 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 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 (/ (+ 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))) |
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x)) |
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 x))) |
(fma.f64 (-.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))) |
(/ -3 (pow x 2)) |
(/.f64 #s(literal -3 binary64) (*.f64 x x)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(/ -3 (pow x 3)) |
(/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* -1 x) 3) (pow x 3)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(/ (- (* -1 x) 3) x) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) |
3 |
#s(literal 3 binary64) |
(+ 3 x) |
(-.f64 x #s(literal -3 binary64)) |
(+ 1 (pow x 2)) |
(fma.f64 x x #s(literal 1 binary64)) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(+ 1 (* x (+ 1 x))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1 x))))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) |
x |
(* x (+ 1 (* -1 x))) |
(fma.f64 (neg.f64 x) x x) |
(* x (+ 1 (* x (- x 1)))) |
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) x x) |
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)) x #s(literal 1 binary64)) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* -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) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (* 3 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) |
(* x (+ 1 (* 3 (/ 1 x)))) |
(-.f64 x #s(literal -3 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal -3 binary64)) x) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64)) |
(* 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 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal 3 binary64)) 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))) |
(* 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) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) x) #s(literal 1 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 x #s(literal -1 binary64)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -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 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal 3 binary64)) 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))) |
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) x) #s(literal 1 binary64)) x) |
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 159 |
| 0 | 47 | 159 |
| 1 | 250 | 158 |
| 2 | 2457 | 158 |
| 0 | 8700 | 158 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) x) #s(literal 3 binary64)) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) x) #s(literal 3 binary64)) x) |
(-.f64 #s(literal -1 binary64) (/.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 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))) |
(+.f64 #s(literal 3 binary64) x) |
(fma.f64 (+.f64 #s(literal 3 binary64) x) 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 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 x x #s(literal 1 binary64)) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) |
(/.f64 x (-.f64 x #s(literal -1 binary64))) |
(-.f64 x #s(literal -1 binary64)) |
| Outputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) x) #s(literal 3 binary64)) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))) x) (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 3 binary64))) x) (/.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) x) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) |
(pow.f64 (/.f64 (/.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))) (pow.f64 x #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 3 binary64))) (pow.f64 x #s(literal -1 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal 3 binary64) x) x)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) #s(literal 1 binary64)) x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (-.f64 (neg.f64 x) (*.f64 x (/.f64 #s(literal 3 binary64) x)))) (neg.f64 (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x)) (neg.f64 x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))) (pow.f64 x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))) |
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 3 binary64))) (pow.f64 x #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 3 binary64) x) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal 3 binary64) x) x))))) |
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(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 #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 x (fma.f64 x x (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (/.f64 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 (/.f64 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 x #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 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 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 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(*.f64 x (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) x)) |
(/.f64 x (-.f64 x #s(literal -1 binary64))) |
(neg.f64 (/.f64 x (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (/.f64 x (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x #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)))) (/.f64 (-.f64 (neg.f64 x) #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)))) (/.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #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 (-.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 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 x #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 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 x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(*.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 (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 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.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 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))) |
(/.f64 (neg.f64 (-.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 (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))) |
(/.f64 (-.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) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(-.f64 x #s(literal -1 binary64)) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (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 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
Compiled 22 877 to 2 540 computations (88.9% saved)
11 alts after pruning (6 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 745 | 5 | 750 |
| Fresh | 3 | 1 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 749 | 11 | 760 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 50.7% | (fma.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
| ▶ | 49.8% | (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64))) |
| ✓ | 51.5% | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| ✓ | 48.1% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))) |
| ▶ | 47.6% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64))) |
| ▶ | 53.1% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(approx (- -1 (/ 3 x)) #s(literal -1 binary64)) x) #s(literal 3 binary64)) x)) |
| ▶ | 54.0% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(approx (/ (- -1 (/ 3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) #s(literal 3 binary64)) x)) |
| ▶ | 53.5% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) |
| 54.0% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) x) x) (/.f64 #s(literal 3 binary64) x))) | |
| ✓ | 47.5% | #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)))) |
| ✓ | 48.6% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
Compiled 373 to 225 computations (39.7% saved)
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 x #s(literal -1 binary64)) | |
| accuracy | 0.0078125 | (*.f64 (-.f64 x #s(literal 1 binary64)) x) | |
| accuracy | 16.137999412493812 | (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64))) | |
| accuracy | 31.608307794907255 | (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) | |
| accuracy | 0.046875 | (/.f64 (-.f64 (/.f64 #s(approx (- -1 (/ 3 x)) #s(literal -1 binary64)) x) #s(literal 3 binary64)) x) | |
| accuracy | 0.0546875 | (/.f64 #s(approx (- -1 (/ 3 x)) #s(literal -1 binary64)) x) | |
| accuracy | 29.469452501435207 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(approx (- -1 (/ 3 x)) #s(literal -1 binary64)) x) #s(literal 3 binary64)) x)) | |
| accuracy | 29.864675834269015 | #s(approx (- -1 (/ 3 x)) #s(literal -1 binary64)) | |
| accuracy | 0.0 | (/.f64 #s(literal -3 binary64) x) | |
| accuracy | 29.759196145010215 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) | |
| accuracy | 0.0 | (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)) | |
| accuracy | 33.20931888471374 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64))) | |
| accuracy | 33.253387666610834 | #s(approx (+ 3 x) #s(literal 3 binary64)) | |
| accuracy | 0.0 | #s(approx (/ (- -1 (/ 3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) | |
| accuracy | 0.046875 | (/.f64 (-.f64 #s(approx (/ (- -1 (/ 3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) #s(literal 3 binary64)) x) | |
| accuracy | 16.152132093036375 | (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) | |
| accuracy | 29.469452501435207 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(approx (/ (- -1 (/ 3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) #s(literal 3 binary64)) x)) |
| 79.0ms | 69× | 2 | valid |
| 75.0ms | 125× | 0 | valid |
| 24.0ms | 62× | 1 | valid |
Compiled 493 to 73 computations (85.2% saved)
ival-mult: 58.0ms (37.4% of total)ival-add: 54.0ms (34.8% of total)ival-div: 20.0ms (12.9% of total)adjust: 14.0ms (9% of total)ival-sub: 9.0ms (5.8% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(approx (/ (- -1 (/ 3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) #s(literal 3 binary64)) x)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(/.f64 (-.f64 #s(approx (/ (- -1 (/ 3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) #s(literal 3 binary64)) x) |
#s(approx (/ (- -1 (/ 3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
#s(approx (+ 3 x) #s(literal 3 binary64)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) |
(/.f64 #s(literal -3 binary64) x) |
#s(approx (- -1 (/ 3 x)) #s(literal -1 binary64)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(approx (- -1 (/ 3 x)) #s(literal -1 binary64)) x) #s(literal 3 binary64)) x)) |
(/.f64 #s(approx (- -1 (/ 3 x)) #s(literal -1 binary64)) x) |
(/.f64 (-.f64 (/.f64 #s(approx (- -1 (/ 3 x)) #s(literal -1 binary64)) x) #s(literal 3 binary64)) x) |
(fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(-.f64 x #s(literal -1 binary64)) |
| Outputs |
|---|
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(/ -3 (pow x 2)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/ -3 (pow x 3)) |
(/ (- (* -1 x) 3) (pow x 3)) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3)) |
3 |
(+ 3 x) |
(/ -3 x) |
(/ (- (* -1 x) 3) x) |
-1 |
(- (* -3 x) 1) |
(* -1 x) |
(* x (- 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) |
(/ -1 x) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
x |
(* x (+ 1 (* 3 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
(* -1 (+ 1 (* 3 (/ 1 x)))) |
(* -3 x) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* -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 | |
|---|---|---|---|---|
| 8.0ms | x | @ | 0 | ((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (- -3 x) (* x x)) (/ (- (/ (- -1 (/ 3 x)) x) 3) x) (/ (- -1 (/ 3 x)) x) (+ 3 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ (* (+ 3 x) x) 1) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ -3 x) (- -1 (/ 3 x)) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (- -1 (/ 3 x)) x) (/ (- (/ (- -1 (/ 3 x)) x) 3) x) (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (/ (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (+ (* x x) -1)) (* (- x 1) x) (- x -1)) |
| 3.0ms | x | @ | inf | ((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (- -3 x) (* x x)) (/ (- (/ (- -1 (/ 3 x)) x) 3) x) (/ (- -1 (/ 3 x)) x) (+ 3 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ (* (+ 3 x) x) 1) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ -3 x) (- -1 (/ 3 x)) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (- -1 (/ 3 x)) x) (/ (- (/ (- -1 (/ 3 x)) x) 3) x) (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (/ (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (+ (* x x) -1)) (* (- x 1) x) (- x -1)) |
| 2.0ms | x | @ | -inf | ((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (- -3 x) (* x x)) (/ (- (/ (- -1 (/ 3 x)) x) 3) x) (/ (- -1 (/ 3 x)) x) (+ 3 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ (* (+ 3 x) x) 1) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ -3 x) (- -1 (/ 3 x)) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (- -1 (/ 3 x)) x) (/ (- (/ (- -1 (/ 3 x)) x) 3) x) (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (/ (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (+ (* x x) -1)) (* (- x 1) x) (- x -1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 220 |
| 1 | 235 | 205 |
| 2 | 760 | 196 |
| 3 | 2749 | 196 |
| 4 | 7642 | 196 |
| 0 | 8411 | 187 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(/ -3 (pow x 2)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/ -3 (pow x 3)) |
(/ (- (* -1 x) 3) (pow x 3)) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3)) |
3 |
(+ 3 x) |
(/ -3 x) |
(/ (- (* -1 x) 3) x) |
-1 |
(- (* -3 x) 1) |
(* -1 x) |
(* x (- 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) |
(/ -1 x) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
x |
(* x (+ 1 (* 3 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
(* -1 (+ 1 (* 3 (/ 1 x)))) |
(* -3 x) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 x))) |
(fma.f64 (-.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))) |
(/ -3 (pow x 2)) |
(/.f64 #s(literal -3 binary64) (*.f64 x x)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(/ -3 (pow x 3)) |
(/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* -1 x) 3) (pow x 3)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
3 |
#s(literal 3 binary64) |
(+ 3 x) |
(-.f64 x #s(literal -3 binary64)) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(/ (- (* -1 x) 3) x) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) |
-1 |
#s(literal -1 binary64) |
(- (* -3 x) 1) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(+ 1 x) |
(-.f64 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 (fma.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* -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 (/.f64 #s(literal 1 binary64) x) x)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
x |
(* x (+ 1 (* 3 (/ 1 x)))) |
(-.f64 x #s(literal -3 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal -3 binary64)) x) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64)) |
(* -1 (+ 1 (* 3 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) |
(* -3 x) |
(*.f64 #s(literal -3 binary64) x) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -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 (/.f64 #s(literal 1 binary64) x) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 224 |
| 0 | 58 | 224 |
| 1 | 303 | 217 |
| 2 | 2889 | 216 |
| 0 | 9368 | 214 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(approx (/ (- -1 (/ 3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) #s(literal 3 binary64)) x)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(/.f64 (-.f64 #s(approx (/ (- -1 (/ 3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) #s(literal 3 binary64)) x) |
#s(approx (/ (- -1 (/ 3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
#s(approx (+ 3 x) #s(literal 3 binary64)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) |
(/.f64 #s(literal -3 binary64) x) |
#s(approx (- -1 (/ 3 x)) #s(literal -1 binary64)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(approx (- -1 (/ 3 x)) #s(literal -1 binary64)) x) #s(literal 3 binary64)) x)) |
(/.f64 #s(approx (- -1 (/ 3 x)) #s(literal -1 binary64)) x) |
(/.f64 (-.f64 (/.f64 #s(approx (- -1 (/ 3 x)) #s(literal -1 binary64)) x) #s(literal 3 binary64)) x) |
(fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(-.f64 x #s(literal -1 binary64)) |
| Outputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(approx (/ (- -1 (/ 3 x)) x) (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal -3 binary64) x))) #s(literal 3 binary64)) x)) |
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 9 binary64) (*.f64 x x))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -3 binary64) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 #s(literal -3 binary64) x) #s(literal 9 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal -3 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) x)) |
(*.f64 (-.f64 #s(literal 3 binary64) x) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 (-.f64 #s(literal -3 binary64) x) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal -3 binary64) x))) |
(pow.f64 (/.f64 x (/.f64 (-.f64 #s(literal 3 binary64) x) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 3 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 3 binary64) x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (pow.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 3 binary64) x)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal -2 binary64)))) (neg.f64 (fma.f64 x (-.f64 #s(literal -3 binary64) x) #s(literal 9 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -3 binary64) x) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (/.f64 x (*.f64 x x)) #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal -3 binary64) x))) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (/.f64 x (*.f64 x x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal -3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -3 binary64) (*.f64 x x)) (/.f64 x (*.f64 x x))))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) x))) x) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x))) (*.f64 x x)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x (-.f64 #s(literal -3 binary64) x) #s(literal 9 binary64)) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (pow.f64 x #s(literal -2 binary64))) (-.f64 #s(literal -3 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal -2 binary64))) (fma.f64 x (-.f64 #s(literal -3 binary64) x) #s(literal 9 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal -3 binary64) x) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (/.f64 x (*.f64 x x)) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal -3 binary64) x))) |
(/.f64 (-.f64 (/.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (/.f64 x (*.f64 x x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal -3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -3 binary64) (*.f64 x x)) (/.f64 x (*.f64 x x)))))) |
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) x)) x) |
(/.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) (*.f64 x x)) |
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x))) (neg.f64 (*.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 x (-.f64 #s(literal -3 binary64) x) #s(literal 9 binary64)) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (-.f64 #s(literal -3 binary64) x) #s(literal 9 binary64)) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) x) x) |
(/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 x (-.f64 #s(literal -3 binary64) x) #s(literal 9 binary64)) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 (-.f64 #s(literal 3 binary64) x) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 3 binary64) x))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 3 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 3 binary64) x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 3 binary64) x) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 3 binary64) x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (-.f64 #s(literal 3 binary64) x)))) |
(neg.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal -3 binary64) x))) |
(fma.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (/.f64 x (*.f64 x x)))) |
(fma.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 x (*.f64 x x))) |
(fma.f64 (/.f64 #s(literal -3 binary64) x) (pow.f64 x #s(literal -1 binary64)) (neg.f64 (/.f64 x (*.f64 x x)))) |
(fma.f64 (/.f64 #s(literal -3 binary64) x) (pow.f64 x #s(literal -1 binary64)) (/.f64 x (*.f64 x x))) |
(fma.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (/.f64 x (*.f64 x x)))) |
(fma.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 x (*.f64 x x))) |
(-.f64 (/.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) x)) (*.f64 x x)) (/.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 3 binary64) x))) (*.f64 x x))) |
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal -3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal -3 binary64) x))) (/.f64 (pow.f64 (/.f64 x (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal -3 binary64) x)))) |
(-.f64 (/.f64 (/.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal -3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -3 binary64) (*.f64 x x)) (/.f64 x (*.f64 x x)))))) (/.f64 (pow.f64 (/.f64 x (*.f64 x x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -3 binary64) (*.f64 x x)) (/.f64 x (*.f64 x x))))))) |
(-.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(-.f64 (/.f64 #s(literal 9 binary64) (*.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))) |
(-.f64 (/.f64 #s(literal -27 binary64) (*.f64 (fma.f64 x (-.f64 #s(literal -3 binary64) x) #s(literal 9 binary64)) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 x (-.f64 #s(literal -3 binary64) x) #s(literal 9 binary64)) (*.f64 x x)))) |
(-.f64 (/.f64 (/.f64 #s(literal -9 binary64) (-.f64 #s(literal 3 binary64) x)) (*.f64 x x)) (/.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 3 binary64) x))) (*.f64 x x))) |
(-.f64 (/.f64 (/.f64 #s(literal -27 binary64) (fma.f64 x (-.f64 #s(literal -3 binary64) x) #s(literal 9 binary64))) (*.f64 x x)) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 #s(literal -3 binary64) x) #s(literal 9 binary64))) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal -3 binary64) x))) |
(-.f64 (/.f64 #s(literal -3 binary64) (*.f64 x x)) (/.f64 x (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 3 binary64) x)))) #s(literal -1 binary64))) |
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(fma.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) |
(fma.f64 x (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) |
(-.f64 (/.f64 (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal -1 binary64) x))) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal -1 binary64) x)))) |
(-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))))) |
(-.f64 (/.f64 (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x (fma.f64 x x #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 (fma.f64 (-.f64 #s(literal -1 binary64) x) x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (/.f64 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 #s(literal -1 binary64) x)) (/.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 #s(literal -1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(-.f64 (-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (-.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)) (+.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) 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 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (/.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x (fma.f64 x x #s(literal 1 binary64))))) #s(literal -1 binary64))) |
(+.f64 (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(+.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x))) |
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) |
(*.f64 (-.f64 #s(literal -1 binary64) x) x) |
(*.f64 x (-.f64 #s(literal -1 binary64) x)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #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)) x)) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) x)) |
(/.f64 (neg.f64 (*.f64 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 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) x) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) x) |
(fma.f64 (*.f64 x x) #s(literal -1 binary64) x) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) x) |
(fma.f64 #s(literal -1 binary64) (*.f64 x x) x) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) x) |
(fma.f64 x x x) |
(+.f64 (*.f64 x x) x) |
(*.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 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) |
(*.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 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(/.f64 (neg.f64 (neg.f64 (-.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 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (neg.f64 (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))) (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 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))) |
(/.f64 (neg.f64 (-.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 (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x)) |
(/.f64 (-.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 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(neg.f64 (-.f64 #s(literal -1 binary64) x)) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(fma.f64 x (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x)) (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 x #s(literal -1 binary64)) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (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 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
Compiled 20 063 to 2 117 computations (89.4% saved)
10 alts after pruning (3 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 643 | 3 | 646 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 2 | 3 | 5 |
| Total | 647 | 10 | 657 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 49.8% | (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64))) |
| ▶ | 74.8% | (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
| ▶ | 28.5% | (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) |
| ✓ | 48.1% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))) |
| ✓ | 47.6% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64))) |
| ✓ | 53.1% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(approx (- -1 (/ 3 x)) #s(literal -1 binary64)) x) #s(literal 3 binary64)) x)) |
| ✓ | 53.5% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) |
| ▶ | 48.4% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x))) |
| ✓ | 47.5% | #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)))) |
| ✓ | 48.6% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
Compiled 214 to 133 computations (37.9% saved)
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 | 0.0 | #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) | |
| accuracy | 16.137999412493812 | (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) | |
| accuracy | 0.0 | (fma.f64 x x #s(literal -1 binary64)) | |
| accuracy | 0.0 | (*.f64 #s(literal -3 binary64) x) | |
| accuracy | 16.137999412493812 | (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) | |
| accuracy | 29.681037988201883 | #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x)) | |
| accuracy | 0.08984375 | (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x) | |
| accuracy | 33.253387666610834 | #s(approx (+ 3 x) #s(literal 3 binary64)) | |
| accuracy | 33.616238338368504 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x))) |
| 35.0ms | 76× | 2 | valid |
| 28.0ms | 76× | 1 | valid |
| 19.0ms | 104× | 0 | valid |
Compiled 285 to 57 computations (80% saved)
ival-add: 17.0ms (27% of total)ival-mult: 16.0ms (25.5% of total)adjust: 13.0ms (20.7% of total)ival-div: 9.0ms (14.3% of total)ival-sub: 7.0ms (11.1% of total)exact: 1.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x))) |
#s(approx (+ 3 x) #s(literal 3 binary64)) |
(*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x)) |
#s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) |
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 #s(literal -3 binary64) x) |
(fma.f64 x x #s(literal -1 binary64)) |
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
#s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
| Outputs |
|---|
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
3 |
(+ 3 x) |
(* 3 x) |
(* x (+ 3 x)) |
(+ 1 (* -3 x)) |
(+ 1 (* x (- (* -1 x) 3))) |
-1 |
(- (* -3 x) 1) |
(* -3 x) |
(- (pow x 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) |
x |
(* x (+ 1 (* 3 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(* -1 (pow x 2)) |
(* -1 (* (pow x 2) (+ 1 (* 3 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 1 (* 3 (/ 1 x))))) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* (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)) |
(* (pow x 2) (- (* -1 (/ (- 3 (/ 1 x)) x)) 1)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | 0 | ((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ 3 x) (* (+ 3 x) x) (- 1 (* (+ 3 x) x)) (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (/ (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (+ (* x x) -1)) (* -3 x) (+ (* x x) -1) (/ (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (+ (* x x) -1)) (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (+ (* -3 x) -1)) |
| 1.0ms | x | @ | -inf | ((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ 3 x) (* (+ 3 x) x) (- 1 (* (+ 3 x) x)) (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (/ (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (+ (* x x) -1)) (* -3 x) (+ (* x x) -1) (/ (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (+ (* x x) -1)) (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (+ (* -3 x) -1)) |
| 1.0ms | x | @ | inf | ((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ 3 x) (* (+ 3 x) x) (- 1 (* (+ 3 x) x)) (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (/ (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (+ (* x x) -1)) (* -3 x) (+ (* x x) -1) (/ (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (+ (* x x) -1)) (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (+ (* -3 x) -1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 188 |
| 1 | 221 | 177 |
| 2 | 714 | 169 |
| 3 | 2485 | 169 |
| 4 | 6943 | 169 |
| 0 | 8096 | 157 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
3 |
(+ 3 x) |
(* 3 x) |
(* x (+ 3 x)) |
(+ 1 (* -3 x)) |
(+ 1 (* x (- (* -1 x) 3))) |
-1 |
(- (* -3 x) 1) |
(* -3 x) |
(- (pow x 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) |
x |
(* x (+ 1 (* 3 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(* -1 (pow x 2)) |
(* -1 (* (pow x 2) (+ 1 (* 3 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 1 (* 3 (/ 1 x))))) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* (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)) |
(* (pow x 2) (- (* -1 (/ (- 3 (/ 1 x)) x)) 1)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 x))) |
(fma.f64 (-.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))) |
3 |
#s(literal 3 binary64) |
(+ 3 x) |
(-.f64 x #s(literal -3 binary64)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 x)) |
(*.f64 (-.f64 x #s(literal -3 binary64)) x) |
(+ 1 (* -3 x)) |
(fma.f64 #s(literal -3 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* -1 x) 3))) |
(fma.f64 (-.f64 #s(literal -3 binary64) x) x #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -3 x) 1) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
(* -3 x) |
(*.f64 #s(literal -3 binary64) x) |
(- (pow x 2) 1) |
(fma.f64 x 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) #s(literal -3 binary64)) x) (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64))) |
x |
(* x (+ 1 (* 3 (/ 1 x)))) |
(-.f64 x #s(literal -3 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal -3 binary64)) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (* (pow x 2) (+ 1 (* 3 (/ 1 x))))) |
(*.f64 (-.f64 #s(literal -3 binary64) x) x) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 1 (* 3 (/ 1 x))))) |
(fma.f64 (-.f64 #s(literal -3 binary64) x) x #s(literal 1 binary64)) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(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) #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 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64))) |
(* (pow x 2) (- (* -1 (/ (- 3 (/ 1 x)) x)) 1)) |
(fma.f64 (-.f64 #s(literal -3 binary64) x) x #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 143 |
| 0 | 36 | 139 |
| 1 | 203 | 127 |
| 2 | 1999 | 123 |
| 0 | 10603 | 117 |
| 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 #s(approx (+ 3 x) #s(literal 3 binary64)) x))) |
#s(approx (+ 3 x) #s(literal 3 binary64)) |
(*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x)) |
#s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) |
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 #s(literal -3 binary64) x) |
(fma.f64 x x #s(literal -1 binary64)) |
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
#s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) 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))) (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64))) |
#s(approx (+ 3 x) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (+ 3 x) #s(literal 3 binary64))) x) |
(*.f64 (neg.f64 #s(approx (+ 3 x) #s(literal 3 binary64))) x) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x)) |
(*.f64 (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x) #s(literal 1 binary64)) |
(*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x)) |
(*.f64 x (neg.f64 #s(approx (+ 3 x) #s(literal 3 binary64)))) |
(*.f64 x #s(approx (+ 3 x) #s(literal 3 binary64))) |
(neg.f64 (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x) (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x) (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x) (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)) (pow.f64 (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)) (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x) (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x) (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x) (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x) (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x) (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x) (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x) #s(literal 2 binary64))) (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x) (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x) (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x) #s(literal 3 binary64))))) |
(fma.f64 (*.f64 #s(literal 1 binary64) #s(approx (+ 3 x) #s(literal 3 binary64))) x #s(literal 1 binary64)) |
(fma.f64 (neg.f64 #s(approx (+ 3 x) #s(literal 3 binary64))) x #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x) #s(literal 1 binary64)) |
(fma.f64 x (neg.f64 #s(approx (+ 3 x) #s(literal 3 binary64))) #s(literal 1 binary64)) |
(fma.f64 x #s(approx (+ 3 x) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(-.f64 (pow.f64 (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x) #s(literal 2 binary64)) (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (fma.f64 (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x) (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x) (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 #s(approx (+ 3 x) #s(literal 3 binary64)))) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x)) |
(+.f64 (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x)) |
#s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) |
(*.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (pow.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x))) |
(*.f64 (neg.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x))) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64))) |
(*.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))) |
(pow.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (*.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x))))) (neg.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x)) |
(/.f64 (*.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)))) (neg.f64 (fma.f64 x x #s(literal 1 binary64)))) |
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(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) |
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(/.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x)) |
(/.f64 (*.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))))) (neg.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))) |
(neg.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))))) #s(literal -1 binary64))) |
#s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (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 (fma.f64 #s(literal -3 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) x))) (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x)))) (neg.f64 (fma.f64 #s(literal -3 binary64) x #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 (-.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))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) |
(/.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 (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) (neg.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.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 (fma.f64 #s(literal -3 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) x))) (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #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 #s(literal 3 binary64) x #s(literal -1 binary64)) |
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) |
(fma.f64 x #s(literal 3 binary64) #s(literal -1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (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)))) |
(-.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 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x)) |
(+.f64 (/.f64 (*.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 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) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) x))))) |
(+.f64 (*.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x)) |
Compiled 10 663 to 826 computations (92.3% saved)
10 alts after pruning (1 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 333 | 1 | 334 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 7 | 7 |
| Total | 334 | 10 | 344 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 49.8% | (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64))) |
| ✓ | 74.8% | (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
| ✓ | 28.5% | (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) |
| ✓ | 48.1% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))) |
| ✓ | 47.6% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64))) |
| ✓ | 53.1% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(approx (- -1 (/ 3 x)) #s(literal -1 binary64)) x) #s(literal 3 binary64)) x)) |
| ✓ | 53.5% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) |
| ✓ | 47.5% | #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)))) |
| 48.4% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(approx (- 1 (* (+ 3 x) x)) (fma.f64 #s(literal -3 binary64) x #s(literal 1 binary64)))) | |
| ✓ | 48.6% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
Compiled 624 to 228 computations (63.5% saved)
| Inputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(approx (- 1 (* (+ 3 x) x)) (fma.f64 #s(literal -3 binary64) x #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 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 3 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))) |
#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 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x 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)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(approx (- -1 (/ 3 x)) #s(literal -1 binary64)) x) #s(literal 3 binary64)) x)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(approx (/ (- -1 (/ 3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) #s(literal 3 binary64)) x)) |
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) x) #s(literal 3 binary64)) x)) |
(/.f64 (fma.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) x) x) (/.f64 #s(literal 3 binary64) x))) |
| Outputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(approx (/ (- -1 (/ 3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) #s(literal 3 binary64)) x)) |
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 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 | x |
| 4.0ms | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 3 | x |
| 99.8% | 2 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
Compiled 14 to 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))) #s(approx (- 1 (* (+ 3 x) x)) (fma.f64 #s(literal -3 binary64) x #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 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 3 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))) |
#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 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x 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)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(approx (- -1 (/ 3 x)) #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)) |
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
1 calls:
| 3.0ms | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 2 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
Compiled 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))) #s(approx (- 1 (* (+ 3 x) x)) (fma.f64 #s(literal -3 binary64) x #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 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 3 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))) |
#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 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (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 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
1 calls:
| 2.0ms | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 2 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
Compiled 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))) #s(approx (- 1 (* (+ 3 x) x)) (fma.f64 #s(literal -3 binary64) x #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 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 3 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))) |
#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 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x 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))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
1 calls:
| 2.0ms | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 2 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
Compiled 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))) #s(approx (- 1 (* (+ 3 x) x)) (fma.f64 #s(literal -3 binary64) x #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 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 3 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))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) |
| 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 |
|---|---|---|
| 98.8% | 2 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
Compiled 13 to 7 computations (46.2% saved)
Total -0.9b remaining (-2.8%)
Threshold costs -0.9b (-2.8%)
| Inputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(approx (- 1 (* (+ 3 x) x)) (fma.f64 #s(literal -3 binary64) x #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 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 3 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))) |
| Outputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
2 calls:
| 2.0ms | x |
| 2.0ms | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.6% | 1 | x |
| 48.6% | 1 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
Compiled 14 to 8 computations (42.9% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.837284962531328e-8 | 8.802131983287609e-7 |
Compiled 16 to 11 computations (31.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.837284962531328e-8 | 8.802131983287609e-7 |
Compiled 16 to 11 computations (31.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 3.696265515884534e-12 |
Compiled 16 to 11 computations (31.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.522883850997193e-5 | 0.9999999999983025 |
Compiled 16 to 11 computations (31.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.522883850997193e-5 | 0.9999999999983025 |
Compiled 16 to 11 computations (31.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 318 |
| 1 | 74 | 318 |
| 2 | 91 | 318 |
| 3 | 122 | 318 |
| 4 | 179 | 318 |
| 5 | 254 | 318 |
| 6 | 305 | 318 |
| 7 | 395 | 318 |
| 8 | 469 | 318 |
| 9 | 567 | 318 |
| 10 | 642 | 318 |
| 11 | 677 | 318 |
| 12 | 687 | 318 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(approx (/ (- -1 (/ 3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) #s(literal 3 binary64)) x)) (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 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 944473296573929/18889465931478580854784 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 (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 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 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 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 7378697629483821/147573952589676412928 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 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))) |
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 7378697629483821/147573952589676412928 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 944473296573929/18889465931478580854784 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(approx (/ (- -1 (/ 3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) #s(literal 3 binary64)) x)) (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 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 944473296573929/18889465931478580854784 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(approx (/ (- -1 (/ 3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) #s(literal 3 binary64)) x)) (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 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 944473296573929/18889465931478580854784 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 (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 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 944473296573929/18889465931478580854784 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 (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 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 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 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 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (- x -1)) (* (- x 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 7378697629483821/147573952589676412928 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 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))) |
(if (<=.f64 (-.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 7378697629483821/147573952589676412928 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 (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 7378697629483821/147573952589676412928 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)))) |
(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 7378697629483821/147573952589676412928 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 | 7 | 28 |
| 0 | 12 | 28 |
| 1 | 70 | 28 |
| 2 | 767 | 28 |
| 0 | 8784 | 28 |
| 0 | 28 | 159 |
| 0 | 47 | 159 |
| 1 | 250 | 158 |
| 2 | 2457 | 158 |
| 0 | 8700 | 158 |
| 0 | 95 | 272 |
| 1 | 307 | 257 |
| 2 | 954 | 237 |
| 3 | 3464 | 235 |
| 0 | 8397 | 223 |
| 0 | 72 | 220 |
| 1 | 235 | 205 |
| 2 | 760 | 196 |
| 3 | 2749 | 196 |
| 4 | 7642 | 196 |
| 0 | 8411 | 187 |
| 0 | 125 | 459 |
| 1 | 436 | 429 |
| 2 | 1516 | 398 |
| 3 | 6762 | 398 |
| 0 | 8203 | 376 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 542 to 174 computations (67.9% saved)
Compiled 662 to 140 computations (78.9% saved)
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