
Time bar (total: 5.8s)
| 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)
| 274.0ms | 2 443× | 1 | valid |
| 272.0ms | 1 557× | 2 | valid |
| 224.0ms | 4 256× | 0 | valid |
ival-div: 225.0ms (40.1% of total)ival-sub: 122.0ms (21.7% of total)adjust: 110.0ms (19.6% of total)ival-add: 91.0ms (16.2% of total)ival-true: 6.0ms (1.1% of total)exact: 5.0ms (0.9% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 123 | 0 | - | 0 | - | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (-.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 x (+.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) | cancellation | 123 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 123 | 0 |
| - | 0 | 133 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 123 | 0 | 0 |
| - | 0 | 0 | 133 |
| number | freq |
|---|---|
| 0 | 133 |
| 1 | 123 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 18.0ms | 102× | 2 | valid |
| 17.0ms | 142× | 1 | valid |
| 15.0ms | 268× | 0 | valid |
Compiled 116 to 32 computations (72.4% saved)
ival-div: 12.0ms (36.9% of total)ival-sub: 8.0ms (24.6% of total)adjust: 7.0ms (21.5% of total)ival-add: 5.0ms (15.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 35 |
| 1 | 23 | 31 |
| 2 | 62 | 27 |
| 3 | 178 | 26 |
| 4 | 414 | 26 |
| 5 | 853 | 26 |
| 6 | 1181 | 26 |
| 7 | 1340 | 26 |
| 8 | 1418 | 26 |
| 9 | 1428 | 26 |
| 0 | 7 | 13 |
| 0 | 12 | 13 |
| 1 | 20 | 13 |
| 2 | 28 | 13 |
| 3 | 44 | 13 |
| 4 | 77 | 13 |
| 5 | 115 | 13 |
| 6 | 203 | 13 |
| 7 | 371 | 13 |
| 8 | 876 | 13 |
| 9 | 1137 | 13 |
| 10 | 1221 | 13 |
| 11 | 1231 | 13 |
| 0 | 1231 | 13 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| Outputs |
|---|
(-.f64 (/.f64 (-.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 |
|---|---|---|
| ▶ | 55.4% | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
Compiled 13 to 7 computations (46.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 x (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 33 |
| 0 | 12 | 33 |
| 1 | 20 | 33 |
| 2 | 28 | 33 |
| 3 | 44 | 33 |
| 4 | 77 | 33 |
| 5 | 115 | 33 |
| 6 | 203 | 33 |
| 7 | 371 | 33 |
| 8 | 876 | 33 |
| 9 | 1137 | 33 |
| 10 | 1221 | 33 |
| 11 | 1231 | 33 |
| 0 | 1231 | 33 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 x (+.f64 x #s(literal 1 binary64))) |
x |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) x))) |
(/.f64 x (-.f64 x #s(literal -1 binary64))) |
x |
(-.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 x #s(literal 1 binary64)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.00390625 | (/.f64 x (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 28.539583918744224 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| 13.0ms | 71× | 1 | valid |
| 9.0ms | 51× | 2 | valid |
| 7.0ms | 134× | 0 | valid |
Compiled 68 to 16 computations (76.5% saved)
ival-add: 7.0ms (33.3% of total)ival-div: 6.0ms (28.5% of total)ival-sub: 4.0ms (19% of total)adjust: 3.0ms (14.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 x (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 x (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 x (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 x (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 x (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 x (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 x (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 x (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 x (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ x (+ x 1)) (+ x 1) (/ (+ x 1) (- x 1))) |
| 1.0ms | x | @ | -inf | ((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ x (+ x 1)) (+ x 1) (/ (+ x 1) (- x 1))) |
| 1.0ms | x | @ | 0 | ((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ x (+ x 1)) (+ x 1) (/ (+ x 1) (- x 1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 332 |
| 1 | 262 | 322 |
| 2 | 585 | 310 |
| 3 | 1504 | 292 |
| 4 | 3731 | 290 |
| 5 | 6694 | 290 |
| 0 | 8053 | 279 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
x |
(* x (+ 1 (* -1 x))) |
(* x (+ 1 (* x (- x 1)))) |
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
-1 |
(- (* -2 x) 1) |
(- (* x (- (* -2 x) 2)) 1) |
(- (* x (- (* x (- (* -2 x) 2)) 2)) 1) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
1 |
(- 1 (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
1 |
(+ 1 (* 2 (/ 1 x))) |
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
1 |
(- 1 (/ 1 x)) |
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
1 |
(+ 1 (* 2 (/ 1 x))) |
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) |
| Outputs |
|---|
#s(literal 1 binary64) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 (+.f64 #s(literal 3 binary64) x) 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))) |
x |
(*.f64 (-.f64 #s(literal 1 binary64) x) x) |
(*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) x) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) x)) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal -1 binary64) |
(fma.f64 #s(literal -2 binary64) x #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) x #s(literal -1 binary64)) |
(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)) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x)) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) 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)) |
x |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) x)) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x)) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) 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)) |
x |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 28 |
| 0 | 12 | 28 |
| 1 | 67 | 28 |
| 2 | 704 | 28 |
| 0 | 8085 | 28 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 x (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
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Compiled 12 332 to 1 324 computations (89.3% saved)
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 433 | 11 | 444 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 433 | 12 | 445 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.7% | (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64))) |
| ▶ | 55.5% | (/.f64 (fma.f64 x (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))) |
| 53.7% | (/.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) | |
| 53.2% | (/.f64 (-.f64 (*.f64 x (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) | |
| ✓ | 55.4% | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| ▶ | 52.6% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))) |
| 52.0% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) | |
| 48.5% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) | |
| 49.4% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) | |
| ▶ | 52.1% | #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))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x))) | |
| ▶ | 52.7% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
Compiled 509 to 271 computations (46.8% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64))) | |
| cost-diff | 192 | (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) | |
| cost-diff | 896 | (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 x x #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (+.f64 #s(literal 3 binary64) x) | |
| cost-diff | 0 | (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 x (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 128 | (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 1088 | (/.f64 (fma.f64 x (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))) | |
| cost-diff | 1408 | (*.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 218 |
| 0 | 52 | 226 |
| 1 | 108 | 208 |
| 2 | 266 | 208 |
| 3 | 789 | 193 |
| 4 | 2986 | 165 |
| 0 | 8310 | 159 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 x (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))) |
(fma.f64 x (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) |
x |
(neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) x) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))) |
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)) |
(+.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
#s(literal 1 binary64) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
#s(literal 3 binary64) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64))) |
(fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) |
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
x |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(-.f64 x #s(literal 1 binary64)) |
(fma.f64 x x #s(literal -1 binary64)) |
| Outputs |
|---|
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(fma.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) |
x |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 x #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))) |
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)) |
(+.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
#s(literal 1 binary64) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
#s(literal 3 binary64) |
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
(-.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(-.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(-.f64 x #s(literal 1 binary64)) |
(fma.f64 x x #s(literal -1 binary64)) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.01953125 | (*.f64 (-.f64 x #s(literal 1 binary64)) x) | |
| accuracy | 15.225715534150389 | (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64))) | |
| accuracy | 29.123312611075203 | (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) | |
| accuracy | 0 | (fma.f64 x x #s(literal 1 binary64)) | |
| accuracy | 0 | (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) | |
| accuracy | 0.06640625 | (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) | |
| accuracy | 30.646892998482354 | #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 | (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)) | |
| accuracy | 0 | (+.f64 #s(literal 3 binary64) x) | |
| accuracy | 30.340987589282175 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))) | |
| accuracy | 30.3022352856337 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) | |
| accuracy | 0.015625 | (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.015625 | (*.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 0.02734375 | (/.f64 (fma.f64 x (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))) | |
| accuracy | 29.175803249425407 | (fma.f64 x (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) |
| 75.0ms | 60× | 2 | valid |
| 30.0ms | 133× | 0 | valid |
| 28.0ms | 63× | 1 | valid |
Compiled 433 to 63 computations (85.5% saved)
ival-add: 19.0ms (24.8% of total)ival-mult: 18.0ms (23.5% of total)ival-div: 13.0ms (17% of total)ival-sub: 12.0ms (15.7% of total)adjust: 12.0ms (15.7% of total)ival-neg: 2.0ms (2.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (*.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (fma.f64 x (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 x (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 #s(literal 3 binary64) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #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)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ()) |
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#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (-.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #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)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #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)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #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)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #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)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (-.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (-.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (-.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (-.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((* (+ 1 x) (neg (/ (- x 1) (+ 1 x)))) (/ (+ (* x (neg (/ (- x 1) (+ 1 x)))) (+ 1 x)) (* (+ 1 x) (neg (/ (- x 1) (+ 1 x))))) (neg (/ (- x 1) (+ 1 x))) (+ (* x (neg (/ (- x 1) (+ 1 x)))) (+ 1 x)) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ (* (+ 3 x) x) 1) (+ 3 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* (+ (* x x) 1) (+ (* 3 x) 1)) (+ (* x x) 1) (+ (* 3 x) 1) (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* -1 x) -1) (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (+ 1 x) (/ (- x 1) (+ 1 x)) (* (- x 1) x)) |
| 3.0ms | x | @ | inf | ((* (+ 1 x) (neg (/ (- x 1) (+ 1 x)))) (/ (+ (* x (neg (/ (- x 1) (+ 1 x)))) (+ 1 x)) (* (+ 1 x) (neg (/ (- x 1) (+ 1 x))))) (neg (/ (- x 1) (+ 1 x))) (+ (* x (neg (/ (- x 1) (+ 1 x)))) (+ 1 x)) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ (* (+ 3 x) x) 1) (+ 3 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* (+ (* x x) 1) (+ (* 3 x) 1)) (+ (* x x) 1) (+ (* 3 x) 1) (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* -1 x) -1) (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (+ 1 x) (/ (- x 1) (+ 1 x)) (* (- x 1) x)) |
| 2.0ms | x | @ | 0 | ((* (+ 1 x) (neg (/ (- x 1) (+ 1 x)))) (/ (+ (* x (neg (/ (- x 1) (+ 1 x)))) (+ 1 x)) (* (+ 1 x) (neg (/ (- x 1) (+ 1 x))))) (neg (/ (- x 1) (+ 1 x))) (+ (* x (neg (/ (- x 1) (+ 1 x)))) (+ 1 x)) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ (* (+ 3 x) x) 1) (+ 3 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* (+ (* x x) 1) (+ (* 3 x) 1)) (+ (* x x) 1) (+ (* 3 x) 1) (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* -1 x) -1) (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (+ 1 x) (/ (- x 1) (+ 1 x)) (* (- x 1) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 139 | 1361 |
| 1 | 417 | 1280 |
| 2 | 1125 | 1225 |
| 3 | 3726 | 1225 |
| 4 | 7929 | 1225 |
| 0 | 8026 | 1139 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
1 |
(+ 1 (* -2 x)) |
(+ 1 (* x (- (* 2 x) 2))) |
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 2))) |
1 |
(+ 1 (* 2 x)) |
(+ 1 (* x (+ 2 (* -2 x)))) |
(+ 1 (* x (+ 2 (* x (- (* 2 x) 2))))) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 x))) |
3 |
(+ 3 x) |
(+ 3 x) |
(+ 3 x) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
1 |
(+ 1 (pow x 2)) |
(+ 1 (pow x 2)) |
(+ 1 (pow x 2)) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* 3 x)) |
(+ 1 (* 3 x)) |
-1 |
(- (* -3 x) 1) |
(- (* -3 x) 1) |
(- (* -3 x) 1) |
-1 |
(- (* -1 x) 1) |
(- (* -1 x) 1) |
(- (* -1 x) 1) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
-1 |
(- (* 2 x) 1) |
(- (* x (+ 2 (* -2 x))) 1) |
(- (* x (+ 2 (* x (- (* 2 x) 2)))) 1) |
(* -1 x) |
(* x (- x 1)) |
(* x (- x 1)) |
(* x (- x 1)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
-1 |
(- (* 2 (/ 1 x)) 1) |
(- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2)))) |
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2)))) |
3 |
(- 3 (* 2 (/ 1 x))) |
(- (+ 3 (/ 2 (pow x 2))) (* 2 (/ 1 x))) |
(- (+ 3 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
x |
(* x (+ 1 (* 3 (/ 1 x)))) |
(* x (+ 1 (* 3 (/ 1 x)))) |
(* x (+ 1 (* 3 (/ 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) |
(* 3 (pow x 3)) |
(* (pow x 3) (+ 3 (/ 1 x))) |
(* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2))))) |
(* (pow x 3) (+ 3 (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ 3 (pow x 2)))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* 3 x) |
(* x (+ 3 (/ 1 x))) |
(* x (+ 3 (/ 1 x))) |
(* x (+ 3 (/ 1 x))) |
(* -3 x) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -1 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -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) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
1 |
(- 1 (* 2 (/ 1 x))) |
(- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x))) |
(- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
-1 |
(- (* 2 (/ 1 x)) 1) |
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1) |
3 |
(- 3 (* 2 (/ 1 x))) |
(+ 3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) |
(+ 3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
x |
(* x (+ 1 (* 3 (/ 1 x)))) |
(* x (+ 1 (* 3 (/ 1 x)))) |
(* x (+ 1 (* 3 (/ 1 x)))) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(* 3 (pow x 3)) |
(* (pow x 3) (+ 3 (/ 1 x))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))) x)) 3))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* 3 x) |
(* x (+ 3 (/ 1 x))) |
(* x (+ 3 (/ 1 x))) |
(* x (+ 3 (/ 1 x))) |
(* -3 x) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -1 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
1 |
(- 1 (* 2 (/ 1 x))) |
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
| Outputs |
|---|
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 1 binary64)) |
(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)) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)) |
(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)) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)) |
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)) |
#s(literal 3 binary64) |
(+.f64 #s(literal 3 binary64) x) |
(+.f64 #s(literal 3 binary64) x) |
(+.f64 #s(literal 3 binary64) x) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 x x #s(literal 1 binary64)) |
(fma.f64 x x #s(literal 1 binary64)) |
(fma.f64 x x #s(literal 1 binary64)) |
#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 #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 -3 binary64) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(-.f64 #s(literal -1 binary64) x) |
(-.f64 #s(literal -1 binary64) x) |
(-.f64 #s(literal -1 binary64) x) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(-.f64 x #s(literal -1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal -1 binary64)) |
(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)) |
(neg.f64 x) |
(fma.f64 x x (neg.f64 x)) |
(fma.f64 x x (neg.f64 x)) |
(fma.f64 x x (neg.f64 x)) |
(neg.f64 x) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) x) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) 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))) |
#s(literal -1 binary64) |
(-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) 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)) |
#s(literal 3 binary64) |
(-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) x)) |
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal 3 binary64)) |
(-.f64 #s(literal 3 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) 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))) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) 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))) |
(*.f64 x x) |
(*.f64 (+.f64 #s(literal 3 binary64) x) x) |
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)) |
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)) |
x |
(+.f64 #s(literal 3 binary64) x) |
(+.f64 #s(literal 3 binary64) x) |
(+.f64 #s(literal 3 binary64) x) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) 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))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) |
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) x x) x) |
(*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal 3 binary64)) x) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(*.f64 x x) |
(fma.f64 x x #s(literal 1 binary64)) |
(fma.f64 x x #s(literal 1 binary64)) |
(fma.f64 x x #s(literal 1 binary64)) |
(*.f64 #s(literal 3 binary64) x) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(*.f64 #s(literal -3 binary64) x) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
(neg.f64 x) |
(-.f64 #s(literal -1 binary64) x) |
(-.f64 #s(literal -1 binary64) x) |
(-.f64 #s(literal -1 binary64) x) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) 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))) |
x |
(-.f64 x #s(literal -1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -1 binary64)) |
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x) #s(literal -1 binary64)) |
(*.f64 x x) |
(fma.f64 x x (neg.f64 x)) |
(fma.f64 x x (neg.f64 x)) |
(fma.f64 x x (neg.f64 x)) |
(neg.f64 x) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) x) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) 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))) |
#s(literal -1 binary64) |
(-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) 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)) |
#s(literal 3 binary64) |
(-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) x)) |
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal 3 binary64)) |
(-.f64 #s(literal 3 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) 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))) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) 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))) |
(*.f64 x x) |
(*.f64 (+.f64 #s(literal 3 binary64) x) x) |
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)) |
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)) |
x |
(+.f64 #s(literal 3 binary64) x) |
(+.f64 #s(literal 3 binary64) x) |
(+.f64 #s(literal 3 binary64) x) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) 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))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) |
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) x x) x) |
(*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal 3 binary64)) x) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(*.f64 x x) |
(fma.f64 x x #s(literal 1 binary64)) |
(fma.f64 x x #s(literal 1 binary64)) |
(fma.f64 x x #s(literal 1 binary64)) |
(*.f64 #s(literal 3 binary64) x) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(*.f64 #s(literal -3 binary64) x) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
(neg.f64 x) |
(-.f64 #s(literal -1 binary64) x) |
(-.f64 #s(literal -1 binary64) x) |
(-.f64 #s(literal -1 binary64) x) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) 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))) |
x |
(-.f64 x #s(literal -1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -1 binary64)) |
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x) #s(literal -1 binary64)) |
(*.f64 x x) |
(fma.f64 x x (neg.f64 x)) |
(fma.f64 x x (neg.f64 x)) |
(fma.f64 x x (neg.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 193 |
| 0 | 52 | 193 |
| 1 | 270 | 164 |
| 2 | 2839 | 164 |
| 0 | 8613 | 162 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (fma.f64 x (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))) |
(neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 x (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 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))) |
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)) |
(+.f64 #s(literal 3 binary64) x) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) |
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) x) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
| Outputs |
|---|
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Compiled 41 159 to 3 600 computations (91.3% saved)
8 alts after pruning (5 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 304 | 5 | 1 309 |
| Fresh | 6 | 0 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 0 | 1 |
| Total | 1 313 | 8 | 1 321 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 76.2% | (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
| ▶ | 25.8% | (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) |
| ▶ | 52.0% | #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
| ▶ | 48.5% | #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) |
| ▶ | 49.4% | #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x)) |
| ✓ | 52.6% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))) |
| ✓ | 52.1% | #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)))) |
| ✓ | 52.7% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
Compiled 316 to 202 computations (36.1% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) | |
| cost-diff | 0 | #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) | |
| cost-diff | 0 | (fma.f64 x x #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal -3 binary64) x) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal -3 binary64) x) | |
| cost-diff | 0 | #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x)) | |
| cost-diff | 0 | (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) | |
| cost-diff | 0 | (fma.f64 x x #s(literal -1 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 216 |
| 0 | 41 | 209 |
| 1 | 70 | 202 |
| 2 | 125 | 202 |
| 3 | 252 | 202 |
| 4 | 827 | 139 |
| 5 | 2595 | 139 |
| 6 | 7527 | 139 |
| 0 | 8116 | 139 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- 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) (+ 1 x)) (* (- 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)) |
#s(literal -3 binary64) |
x |
#s(literal -1 binary64) |
(fma.f64 x x #s(literal -1 binary64)) |
#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
#s(literal 3 binary64) |
x |
#s(literal 1 binary64) |
#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x)) |
(/.f64 #s(literal -3 binary64) x) |
#s(literal -3 binary64) |
x |
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) |
#s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) |
(*.f64 #s(literal -3 binary64) x) |
#s(literal -3 binary64) |
x |
(fma.f64 x x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) |
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
#s(literal 3 binary64) |
| Outputs |
|---|
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- 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) (+ 1 x)) (* (- 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)) |
#s(literal -3 binary64) |
x |
#s(literal -1 binary64) |
(fma.f64 x x #s(literal -1 binary64)) |
#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
#s(literal 3 binary64) |
x |
#s(literal 1 binary64) |
#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x)) |
(/.f64 #s(literal -3 binary64) x) |
#s(literal -3 binary64) |
x |
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) |
#s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) |
(*.f64 #s(literal -3 binary64) x) |
#s(literal -3 binary64) |
x |
(fma.f64 x x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) |
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
#s(literal 3 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal -1 binary64) x) | |
| accuracy | 0.00390625 | (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) | |
| accuracy | 0.0703125 | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) | |
| accuracy | 32.9783213240938 | #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) | |
| accuracy | 0 | (fma.f64 x x #s(literal -1 binary64)) | |
| accuracy | 0 | (*.f64 #s(literal -3 binary64) x) | |
| accuracy | 15.225715534150389 | (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) | |
| accuracy | 32.32307655130041 | #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) | |
| accuracy | 0 | (/.f64 #s(literal -3 binary64) x) | |
| accuracy | 32.41324302683351 | #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x)) | |
| accuracy | 0 | (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) | |
| accuracy | 30.69941115094729 | #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) | |
| accuracy | 0 | (fma.f64 x x #s(literal -1 binary64)) | |
| accuracy | 0 | (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) | |
| accuracy | 0 | #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) | |
| accuracy | 15.225715534150389 | (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
| 109.0ms | 107× | 1 | valid |
| 48.0ms | 133× | 0 | valid |
| 6.0ms | 16× | 2 | valid |
Compiled 411 to 57 computations (86.1% saved)
ival-mult: 92.0ms (77% of total)ival-add: 9.0ms (7.5% of total)ival-div: 8.0ms (6.7% of total)adjust: 7.0ms (5.9% of total)ival-sub: 3.0ms (2.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal -3 binary64) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(literal -3 binary64) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal -3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal -3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal -3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal -3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 #s(literal -3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 #s(literal -3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 #s(literal -3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 #s(literal -3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | ((/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* -3 x) -1) (+ (* x x) -1) (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (+ (* 3 x) 1) (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/ -3 x) (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (* -3 x) (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/ (- (/ -1 x) 3) x) (- (/ -1 x) 3) (/ -1 x)) |
| 1.0ms | x | @ | -inf | ((/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* -3 x) -1) (+ (* x x) -1) (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (+ (* 3 x) 1) (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/ -3 x) (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (* -3 x) (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/ (- (/ -1 x) 3) x) (- (/ -1 x) 3) (/ -1 x)) |
| 1.0ms | x | @ | inf | ((/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* -3 x) -1) (+ (* x x) -1) (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (+ (* 3 x) 1) (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/ -3 x) (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (* -3 x) (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/ (- (/ -1 x) 3) x) (- (/ -1 x) 3) (/ -1 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 1078 |
| 1 | 153 | 992 |
| 2 | 371 | 972 |
| 3 | 971 | 972 |
| 4 | 2653 | 972 |
| 5 | 6411 | 972 |
| 0 | 8083 | 897 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
-1 |
(- (* -3 x) 1) |
(- (* -3 x) 1) |
(- (* -3 x) 1) |
-1 |
(- (* -3 x) 1) |
(- (* -3 x) 1) |
(- (* -3 x) 1) |
-1 |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* 3 x)) |
(+ 1 (* 3 x)) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(/ -3 x) |
(/ -3 x) |
(/ -3 x) |
(/ -3 x) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
-1 |
(- (* -3 x) 1) |
(- (* -3 x) 1) |
(- (* -3 x) 1) |
(* -3 x) |
(* -3 x) |
(* -3 x) |
(* -3 x) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(/ -1 (pow x 2)) |
(/ (- (* -3 x) 1) (pow x 2)) |
(/ (- (* -3 x) 1) (pow x 2)) |
(/ (- (* -3 x) 1) (pow x 2)) |
(/ -1 x) |
(/ (- (* -3 x) 1) x) |
(/ (- (* -3 x) 1) x) |
(/ (- (* -3 x) 1) x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -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) |
(* -3 x) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -3 x) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(* 3 x) |
(* x (+ 3 (/ 1 x))) |
(* x (+ 3 (/ 1 x))) |
(* x (+ 3 (/ 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) |
(/ -3 x) |
(/ -3 x) |
(/ -3 x) |
(/ -3 x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(* -3 x) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -3 x) |
(* -3 x) |
(* -3 x) |
(* -3 x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
-3 |
(* -1 (+ 3 (/ 1 x))) |
(* -1 (+ 3 (/ 1 x))) |
(* -1 (+ 3 (/ 1 x))) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(* -3 x) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -3 x) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(* 3 x) |
(* x (+ 3 (/ 1 x))) |
(* x (+ 3 (/ 1 x))) |
(* x (+ 3 (/ 1 x))) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(/ -3 x) |
(/ -3 x) |
(/ -3 x) |
(/ -3 x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(* -3 x) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -3 x) |
(* -3 x) |
(* -3 x) |
(* -3 x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
-3 |
(* -1 (+ 3 (/ 1 x))) |
(* -1 (+ 3 (/ 1 x))) |
(* -1 (+ 3 (/ 1 x))) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
| Outputs |
|---|
#s(literal 1 binary64) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 (-.f64 x #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))) |
#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 #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 -3 binary64) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(fma.f64 x x #s(literal -1 binary64)) |
(fma.f64 x x #s(literal -1 binary64)) |
(fma.f64 x x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 (-.f64 x #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))) |
#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 #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 (-.f64 x #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))) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 #s(literal -3 binary64) x) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 (-.f64 x #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))) |
#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 #s(literal -3 binary64) x #s(literal -1 binary64)) |
(*.f64 #s(literal -3 binary64) x) |
(*.f64 #s(literal -3 binary64) x) |
(*.f64 #s(literal -3 binary64) x) |
(*.f64 #s(literal -3 binary64) x) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 (-.f64 x #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))) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 #s(literal -1 binary64) x) |
(-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x) |
(*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 x (/.f64 #s(literal -1 binary64) x))) |
(*.f64 #s(literal -3 binary64) x) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
(*.f64 #s(literal -3 binary64) x) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
(*.f64 x x) |
(fma.f64 x x #s(literal -1 binary64)) |
(fma.f64 x x #s(literal -1 binary64)) |
(fma.f64 x x #s(literal -1 binary64)) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x) |
(*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 x (/.f64 #s(literal -1 binary64) x))) |
(*.f64 #s(literal 3 binary64) x) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x) |
(*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 x (/.f64 #s(literal -1 binary64) x))) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x) |
(*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 x (/.f64 #s(literal -1 binary64) x))) |
(*.f64 #s(literal -3 binary64) x) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
(*.f64 #s(literal -3 binary64) x) |
(*.f64 #s(literal -3 binary64) x) |
(*.f64 #s(literal -3 binary64) x) |
(*.f64 #s(literal -3 binary64) x) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x) |
(*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 x (/.f64 #s(literal -1 binary64) x))) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
#s(literal -3 binary64) |
(-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x) |
(*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 x (/.f64 #s(literal -1 binary64) x))) |
(*.f64 #s(literal -3 binary64) x) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
(*.f64 #s(literal -3 binary64) x) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
(*.f64 x x) |
(fma.f64 x x #s(literal -1 binary64)) |
(fma.f64 x x #s(literal -1 binary64)) |
(fma.f64 x x #s(literal -1 binary64)) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x) |
(*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 x (/.f64 #s(literal -1 binary64) x))) |
(*.f64 #s(literal 3 binary64) x) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x) |
(*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 x (/.f64 #s(literal -1 binary64) x))) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x) |
(*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 x (/.f64 #s(literal -1 binary64) x))) |
(*.f64 #s(literal -3 binary64) x) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
(*.f64 #s(literal -3 binary64) x) |
(*.f64 #s(literal -3 binary64) x) |
(*.f64 #s(literal -3 binary64) x) |
(*.f64 #s(literal -3 binary64) x) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x) |
(*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 x (/.f64 #s(literal -1 binary64) x))) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
#s(literal -3 binary64) |
(-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 #s(literal -1 binary64) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 198 |
| 0 | 41 | 191 |
| 1 | 194 | 184 |
| 2 | 1559 | 184 |
| 0 | 8264 | 170 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- 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) (+ 1 x)) (* (- 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)) |
(fma.f64 x x #s(literal -1 binary64)) |
#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x)) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) |
#s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) |
(*.f64 #s(literal -3 binary64) x) |
#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) |
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) |
(/.f64 #s(literal -1 binary64) x) |
| Outputs |
|---|
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Compiled 21 745 to 1 439 computations (93.4% saved)
10 alts after pruning (3 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 636 | 3 | 639 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 637 | 10 | 647 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 76.2% | (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
| ▶ | 24.7% | (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x))) |
| ▶ | 76.2% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))))) |
| ✓ | 52.0% | #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
| ✓ | 48.5% | #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) |
| ▶ | 49.1% | #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))) |
| ✓ | 49.4% | #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x)) |
| ✓ | 52.6% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))) |
| ✓ | 52.1% | #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)))) |
| ✓ | 52.7% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
Compiled 247 to 157 computations (36.4% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (* x x) -1) (*.f64 x x)) | |
| cost-diff | 0 | (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x))) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) | |
| cost-diff | 0 | (fma.f64 x x #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))))) | |
| cost-diff | 0 | (*.f64 x #s(literal -1/3 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 188 |
| 0 | 36 | 182 |
| 1 | 63 | 172 |
| 2 | 119 | 170 |
| 3 | 259 | 170 |
| 4 | 886 | 116 |
| 5 | 2784 | 116 |
| 6 | 7291 | 116 |
| 0 | 8364 | 116 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))) |
#s(literal 1 binary64) |
(*.f64 x #s(literal -1/3 binary64)) |
x |
#s(literal -1/3 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
#s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- 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)) |
#s(literal -3 binary64) |
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x))) |
#s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- 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)) |
#s(literal -3 binary64) |
x |
#s(literal -1 binary64) |
#s(approx (+ (* x x) -1) (*.f64 x x)) |
(*.f64 x x) |
| Outputs |
|---|
#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x)) |
(/.f64 #s(literal -3 binary64) x) |
#s(literal 1 binary64) |
(*.f64 #s(literal -1/3 binary64) x) |
x |
#s(literal -1/3 binary64) |
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
#s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- 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)) |
#s(literal -3 binary64) |
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x))) |
#s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- 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)) |
#s(literal -3 binary64) |
x |
#s(literal -1 binary64) |
#s(approx (+ (* x x) -1) (*.f64 x x)) |
(*.f64 x x) |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0 | #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) | |
| accuracy | 15.225715534150389 | (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x))) | |
| accuracy | 32.390820385371626 | #s(approx (+ (* x x) -1) (*.f64 x x)) | |
| accuracy | 0 | (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) | |
| accuracy | 0 | #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) | |
| accuracy | 0.109375 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))))) | |
| accuracy | 15.238585991494135 | (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) | |
| accuracy | 0.24609375 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))) | |
| accuracy | 0.3203125 | (*.f64 x #s(literal -1/3 binary64)) | |
| accuracy | 32.41324302683351 | #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))) |
| 43.0ms | 135× | 0 | valid |
| 31.0ms | 105× | 1 | valid |
| 6.0ms | 16× | 2 | valid |
Compiled 350 to 51 computations (85.4% saved)
ival-div: 28.0ms (44% of total)ival-mult: 15.0ms (23.6% of total)ival-add: 8.0ms (12.6% of total)adjust: 6.0ms (9.4% of total)const: 4.0ms (6.3% of total)ival-sub: 2.0ms (3.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 x #s(literal -1/3 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))))) #<representation binary64>) () ()) |
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| Outputs |
|---|
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* x x) -1) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* x x) -1) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* x x) -1) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* x x) -1) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((/ 1 (* x -1/3)) (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (* x -1/3) (/ 1 (/ (+ (* x x) -1) (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)))) (/ (+ (* x x) -1) (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x))) (+ (* x x) -1) (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (+ (* -3 x) -1) (+ (* x x) -1) (* x x)) |
| 1.0ms | x | @ | -inf | ((/ 1 (* x -1/3)) (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (* x -1/3) (/ 1 (/ (+ (* x x) -1) (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)))) (/ (+ (* x x) -1) (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x))) (+ (* x x) -1) (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (+ (* -3 x) -1) (+ (* x x) -1) (* x x)) |
| 1.0ms | x | @ | 0 | ((/ 1 (* x -1/3)) (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (* x -1/3) (/ 1 (/ (+ (* x x) -1) (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)))) (/ (+ (* x x) -1) (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x))) (+ (* x x) -1) (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (+ (* -3 x) -1) (+ (* x x) -1) (* x x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 752 |
| 1 | 284 | 740 |
| 2 | 757 | 704 |
| 3 | 2073 | 692 |
| 4 | 4558 | 692 |
| 5 | 7858 | 692 |
| 0 | 8281 | 632 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -3 x) |
(/ -3 x) |
(/ -3 x) |
(/ -3 x) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(* -1/3 x) |
(* -1/3 x) |
(* -1/3 x) |
(* -1/3 x) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
1 |
(+ 1 (* -3 x)) |
(+ 1 (* x (- (* 8 x) 3))) |
(+ 1 (* x (- (* x (+ 8 (* -24 x))) 3))) |
-1 |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
-1 |
(- (* -3 x) 1) |
(- (* -3 x) 1) |
(- (* -3 x) 1) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
-1 |
(- (* -3 x) 1) |
(- (* -3 x) 1) |
(- (* -3 x) 1) |
-1 |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ -3 x) |
(/ -3 x) |
(/ -3 x) |
(/ -3 x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(* -1/3 x) |
(* -1/3 x) |
(* -1/3 x) |
(* -1/3 x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(* -1/3 x) |
(* x (- (* 1/9 (/ 1 x)) 1/3)) |
(* x (- (+ (/ 8/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3)) |
(* x (- (+ (/ 8/27 (pow x 2)) (* 1/9 (/ 1 x))) (+ 1/3 (* 8/81 (/ 1 (pow x 3)))))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* -3 x) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -1 (* x (+ 3 (/ 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) |
(* -3 x) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ -3 x) |
(/ -3 x) |
(/ -3 x) |
(/ -3 x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(* -1/3 x) |
(* -1/3 x) |
(* -1/3 x) |
(* -1/3 x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(* -1/3 x) |
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x))))) |
(* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* 8/27 (/ 1 x))) x))))) |
(* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* -1 (/ (- (* 8/81 (/ 1 x)) 8/27) x))) x))))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* -3 x) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(* -3 x) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
| Outputs |
|---|
(/.f64 #s(literal -3 binary64) x) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 #s(literal -3 binary64) x) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 (+.f64 #s(literal 3 binary64) x) 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))) |
(*.f64 #s(literal -1/3 binary64) x) |
(*.f64 #s(literal -1/3 binary64) x) |
(*.f64 #s(literal -1/3 binary64) x) |
(*.f64 #s(literal -1/3 binary64) x) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 (+.f64 #s(literal 3 binary64) x) 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))) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -3 binary64) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 8 binary64) x #s(literal -3 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -24 binary64) x #s(literal 8 binary64)) x #s(literal -3 binary64)) x #s(literal 1 binary64)) |
#s(literal -1 binary64) |
(fma.f64 x x #s(literal -1 binary64)) |
(fma.f64 x x #s(literal -1 binary64)) |
(fma.f64 x x #s(literal -1 binary64)) |
#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 #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 (+.f64 #s(literal 3 binary64) x) 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))) |
#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 #s(literal -3 binary64) x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(fma.f64 x x #s(literal -1 binary64)) |
(fma.f64 x x #s(literal -1 binary64)) |
(fma.f64 x x #s(literal -1 binary64)) |
(*.f64 x x) |
(*.f64 x x) |
(*.f64 x x) |
(*.f64 x x) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x)) |
(*.f64 #s(literal -1/3 binary64) x) |
(*.f64 #s(literal -1/3 binary64) x) |
(*.f64 #s(literal -1/3 binary64) x) |
(*.f64 #s(literal -1/3 binary64) x) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x)) |
(*.f64 #s(literal -1/3 binary64) x) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) |
(fma.f64 #s(literal -1/3 binary64) x (-.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal -1/9 binary64))) |
(fma.f64 #s(literal -1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8/81 binary64) x) #s(literal 8/27 binary64)) x))) |
(*.f64 x x) |
(fma.f64 x x #s(literal -1 binary64)) |
(fma.f64 x x #s(literal -1 binary64)) |
(fma.f64 x x #s(literal -1 binary64)) |
(*.f64 #s(literal -3 binary64) x) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x)) |
(*.f64 #s(literal -3 binary64) x) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
(*.f64 x x) |
(fma.f64 x x #s(literal -1 binary64)) |
(fma.f64 x x #s(literal -1 binary64)) |
(fma.f64 x x #s(literal -1 binary64)) |
(*.f64 x x) |
(*.f64 x x) |
(*.f64 x x) |
(*.f64 x x) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x)) |
(*.f64 #s(literal -1/3 binary64) x) |
(*.f64 #s(literal -1/3 binary64) x) |
(*.f64 #s(literal -1/3 binary64) x) |
(*.f64 #s(literal -1/3 binary64) x) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x)) |
(*.f64 #s(literal -1/3 binary64) x) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) |
(fma.f64 #s(literal -1/3 binary64) x (-.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal -1/9 binary64))) |
(fma.f64 #s(literal -1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8/81 binary64) x) #s(literal 8/27 binary64)) x))) |
(*.f64 x x) |
(fma.f64 x x #s(literal -1 binary64)) |
(fma.f64 x x #s(literal -1 binary64)) |
(fma.f64 x x #s(literal -1 binary64)) |
(*.f64 #s(literal -3 binary64) x) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
(/.f64 #s(literal -3 binary64) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x)) |
(*.f64 #s(literal -3 binary64) x) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
(*.f64 x x) |
(fma.f64 x x #s(literal -1 binary64)) |
(fma.f64 x x #s(literal -1 binary64)) |
(fma.f64 x x #s(literal -1 binary64)) |
(*.f64 x x) |
(*.f64 x x) |
(*.f64 x x) |
(*.f64 x x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 154 |
| 0 | 36 | 149 |
| 1 | 158 | 138 |
| 2 | 1241 | 123 |
| 0 | 9490 | 118 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))) |
#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))) |
(*.f64 x #s(literal -1/3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- 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) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) |
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x))) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
#s(approx (+ (* x x) -1) (*.f64 x x)) |
(*.f64 x x) |
| Outputs |
|---|
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Compiled 27 729 to 2 136 computations (92.3% saved)
8 alts after pruning (1 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 725 | 1 | 726 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 1 | 3 |
| Done | 1 | 6 | 7 |
| Total | 728 | 8 | 736 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 76.2% | (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
| 56.1% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) -1) (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) | |
| ✓ | 52.0% | #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
| ✓ | 49.1% | #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))) |
| ✓ | 49.4% | #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x)) |
| ✓ | 52.6% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))) |
| ✓ | 52.1% | #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)))) |
| ✓ | 52.7% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
Compiled 691 to 218 computations (68.5% saved)
| Inputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) |
#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x)) |
#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) -1) (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) |
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x))) |
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- 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 (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) 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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))))) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x))) |
(/.f64 (fma.f64 x (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (-.f64 (*.f64 x (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
| Outputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x))) |
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- 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 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| 6.0ms | x |
| 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))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) |
#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x)) |
#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) -1) (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) |
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x))) |
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- 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 (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) 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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))))) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) |
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
1 calls:
| 5.0ms | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 2 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
Compiled 13 to 7 computations (46.2% saved)
| Inputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) |
#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x)) |
#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) -1) (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) |
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x))) |
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- 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) (+ 1 x)) (* (- 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 |
|---|---|---|
| 99.6% | 2 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
Compiled 13 to 7 computations (46.2% saved)
| Inputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) |
#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x)) |
#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) -1) (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) |
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) -1) (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 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)))) |
1 calls:
| 3.0ms | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 2 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
Compiled 13 to 7 computations (46.2% saved)
| Inputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) |
#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x)) |
#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) |
1 calls:
| 3.0ms | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 2 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
Compiled 13 to 7 computations (46.2% saved)
| Inputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) |
#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x)) |
#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))) |
| Outputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))) |
1 calls:
| 4.0ms | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 2 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
Compiled 13 to 7 computations (46.2% saved)
Total -0.8b remaining (-2.8%)
Threshold costs -0.8b (-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))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
2 calls:
| 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 |
|---|---|---|
| 52.7% | 1 | x |
| 52.7% | 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 | 0.0 | 6.079581282847357e-13 |
Compiled 16 to 11 computations (31.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 6.079581282847357e-13 |
Compiled 16 to 11 computations (31.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 6.079581282847357e-13 |
Compiled 16 to 11 computations (31.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0005723647116510078 | 0.9991128223983602 |
Compiled 16 to 11 computations (31.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0005723647116510078 | 0.9991128223983602 |
Compiled 16 to 11 computations (31.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0005723647116510078 | 0.9991128223983602 |
Compiled 16 to 11 computations (31.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 381 |
| 1 | 79 | 381 |
| 2 | 96 | 381 |
| 3 | 121 | 381 |
| 4 | 135 | 381 |
| 5 | 140 | 381 |
| 6 | 142 | 381 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x))) (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- 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 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- 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) (+ 1 x)) (* (- 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 1152921504606847/1152921504606846976 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) -1) (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 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))))) |
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1152921504606847/1152921504606846976 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 1152921504606847/1152921504606846976 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 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.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)))) (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- 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 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 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) (+ 1 x)) (* (- 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 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.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) (+ 1 x)) (* (- 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 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) #s(literal 1152921504606847/1152921504606846976 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) -1) (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) #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 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) #s(literal 1152921504606847/1152921504606846976 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 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) #s(literal 1152921504606847/1152921504606846976 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 | 95 | 332 |
| 1 | 262 | 322 |
| 2 | 585 | 310 |
| 3 | 1504 | 292 |
| 4 | 3731 | 290 |
| 5 | 6694 | 290 |
| 0 | 8053 | 279 |
| 0 | 102 | 752 |
| 1 | 284 | 740 |
| 2 | 757 | 704 |
| 3 | 2073 | 692 |
| 4 | 4558 | 692 |
| 5 | 7858 | 692 |
| 0 | 8281 | 632 |
| 0 | 30 | 198 |
| 0 | 41 | 191 |
| 1 | 194 | 184 |
| 2 | 1559 | 184 |
| 0 | 8264 | 170 |
| 0 | 139 | 1361 |
| 1 | 417 | 1280 |
| 2 | 1125 | 1225 |
| 3 | 3726 | 1225 |
| 4 | 7929 | 1225 |
| 0 | 8026 | 1139 |
| 0 | 7 | 28 |
| 0 | 12 | 28 |
| 1 | 67 | 28 |
| 2 | 704 | 28 |
| 0 | 8085 | 28 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 568 to 178 computations (68.7% saved)
Compiled 788 to 146 computations (81.5% saved)
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