
Time bar (total: 10.8s)
| 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 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 2 |
Compiled 15 to 9 computations (40% saved)
| 1.5s | 2 964× | 2 | valid |
| 1.1s | 4 739× | 1 | valid |
| 681.0ms | 7 794× | 0 | exit |
| 36.0ms | 553× | 0 | valid |
ival-exp: 1.6s (59.8% of total)adjust: 447.0ms (16.7% of total)ival-div: 236.0ms (8.8% of total)ival-neg: 129.0ms (4.8% of total)ival-add: 126.0ms (4.7% of total)ival-sub: 121.0ms (4.5% of total)ival-true: 11.0ms (0.4% of total)ival-assert: 7.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 245 | 0 | - | 0 | - | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 4 | 0 | - | 0 | - | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 0 | 0 | - | 0 | - | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 0 | 0 | - | 0 | - | (exp.f64 x) |
| 0 | 3 | (-404.6646902223565) | 0 | - | (exp.f64 (neg.f64 x)) |
| 0 | 0 | - | 0 | - | (neg.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) | cancellation | 245 | 0 |
/.f64 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) | o/o | 4 | 0 |
| ↳ | (exp.f64 x) | overflow | 3 | |
| ↳ | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) | overflow | 4 | |
| ↳ | (exp.f64 (neg.f64 x)) | overflow | 1 | |
| ↳ | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) | overflow | 4 | |
| ↳ | (exp.f64 x) | overflow | 3 | |
| ↳ | (exp.f64 (neg.f64 x)) | overflow | 1 | |
exp.f64 | (exp.f64 (neg.f64 x)) | sensitivity | 3 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 249 | 0 |
| - | 3 | 4 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 249 | 0 | 0 |
| - | 3 | 0 | 4 |
| number | freq |
|---|---|
| 0 | 4 |
| 1 | 252 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 68.0ms | 166× | 2 | valid |
| 63.0ms | 308× | 1 | valid |
| 3.0ms | 38× | 0 | valid |
Compiled 84 to 25 computations (70.2% saved)
ival-exp: 74.0ms (68% of total)adjust: 12.0ms (11% of total)ival-sub: 8.0ms (7.3% of total)ival-div: 7.0ms (6.4% of total)ival-add: 5.0ms (4.6% of total)ival-neg: 2.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 528× | lower-fma.f64 |
| 528× | lower-fma.f32 |
| 336× | lower-*.f64 |
| 336× | lower-*.f32 |
| 320× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 27 |
| 1 | 32 | 27 |
| 2 | 80 | 26 |
| 3 | 199 | 26 |
| 4 | 468 | 26 |
| 5 | 1130 | 26 |
| 6 | 1547 | 26 |
| 7 | 1585 | 26 |
| 8 | 1604 | 26 |
| 9 | 1623 | 26 |
| 10 | 1657 | 26 |
| 11 | 1669 | 26 |
| 0 | 7 | 13 |
| 0 | 13 | 13 |
| 1 | 25 | 13 |
| 2 | 42 | 13 |
| 3 | 67 | 13 |
| 4 | 122 | 13 |
| 5 | 276 | 13 |
| 6 | 462 | 13 |
| 7 | 682 | 13 |
| 8 | 905 | 13 |
| 9 | 1058 | 13 |
| 10 | 1186 | 13 |
| 11 | 1233 | 13 |
| 0 | 1233 | 13 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Outputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))))) |
(negabs x)
Compiled 14 to 7 computations (50% saved)
Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 10.8% | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
Compiled 14 to 7 computations (50% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (exp.f64 (neg.f64 x)) | |
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) | |
| cost-diff | 11648 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 528× | lower-fma.f64 |
| 528× | lower-fma.f32 |
| 336× | lower-*.f64 |
| 336× | lower-*.f32 |
| 224× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 33 |
| 0 | 13 | 33 |
| 1 | 25 | 33 |
| 2 | 42 | 33 |
| 3 | 67 | 33 |
| 4 | 122 | 33 |
| 5 | 276 | 33 |
| 6 | 462 | 33 |
| 7 | 682 | 33 |
| 8 | 905 | 33 |
| 9 | 1058 | 33 |
| 10 | 1186 | 33 |
| 11 | 1233 | 33 |
| 0 | 1233 | 33 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(exp.f64 x) |
x |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Outputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(exp.f64 x) |
x |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (exp.f64 x) | |
| accuracy | 0.00390625 | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) | |
| accuracy | 0.9804797542033008 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) | |
| accuracy | 56.12405984393877 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 33.0ms | 83× | 2 | valid |
| 27.0ms | 154× | 1 | valid |
| 1.0ms | 19× | 0 | valid |
Compiled 35 to 9 computations (74.3% saved)
ival-exp: 36.0ms (72% of total)adjust: 5.0ms (10% of total)ival-div: 3.0ms (6% of total)ival-add: 2.0ms (4% of total)ival-sub: 2.0ms (4% of total)ival-neg: 1.0ms (2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ()) |
#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp x) (exp (neg x))) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp x) (exp (neg x))) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp x) (exp (neg x))) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp x) (exp (neg x))) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* 1/2 x) 1))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (neg x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (neg x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (neg x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (neg x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor 0 x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) (taylor 0 x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) (taylor 0 x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp x) (exp (neg x))) (taylor inf x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp x) (exp (neg x))) (taylor inf x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp x) (exp (neg x))) (taylor inf x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp x) (exp (neg x))) (taylor inf x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
| 1.0ms | x | @ | inf | (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
| 0.0ms | x | @ | 0 | (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
| 0.0ms | x | @ | 0 | (- (exp x) (exp (neg x))) |
| 0.0ms | x | @ | 0 | (+ (exp x) (exp (neg x))) |
| 1× | egg-herbie |
| 12 890× | lower-fma.f64 |
| 12 890× | lower-fma.f32 |
| 4 156× | lower-*.f64 |
| 4 156× | lower-*.f32 |
| 2 544× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 425 |
| 1 | 259 | 424 |
| 2 | 604 | 414 |
| 3 | 1659 | 414 |
| 4 | 2630 | 414 |
| 5 | 4160 | 414 |
| 6 | 4872 | 414 |
| 7 | 6500 | 414 |
| 0 | 8123 | 386 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(* 2 x) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) |
(- (exp x) (exp (neg x))) |
(- (exp x) (exp (neg x))) |
(- (exp x) (exp (neg x))) |
(- (exp x) (exp (neg x))) |
(- (exp x) (exp (* -1 x))) |
(- (exp x) (exp (* -1 x))) |
(- (exp x) (exp (* -1 x))) |
(- (exp x) (exp (* -1 x))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
2 |
(+ 2 (pow x 2)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) |
(+ (exp x) (exp (neg x))) |
(+ (exp x) (exp (neg x))) |
(+ (exp x) (exp (neg x))) |
(+ (exp x) (exp (neg x))) |
(+ (exp x) (exp (* -1 x))) |
(+ (exp x) (exp (* -1 x))) |
(+ (exp x) (exp (* -1 x))) |
(+ (exp x) (exp (* -1 x))) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 2 x) |
(+.f64 x x) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
(- (exp x) (exp (neg x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (exp (neg x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (exp (neg x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (exp (neg x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (exp (* -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (exp (* -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (exp (* -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (exp (* -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
2 |
#s(literal 2 binary64) |
(+ 2 (pow x 2)) |
(fma.f64 x x #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) |
(fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 2 binary64)) |
(+ (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(+ (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(+ (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(+ (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(+ (exp x) (exp (* -1 x))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(+ (exp x) (exp (* -1 x))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(+ (exp x) (exp (* -1 x))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(+ (exp x) (exp (* -1 x))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 3 904× | lower-*.f64 |
| 3 904× | lower-*.f32 |
| 3 826× | lower-/.f32 |
| 3 824× | lower-/.f64 |
| 2 870× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 30 |
| 0 | 13 | 15 |
| 1 | 55 | 15 |
| 2 | 424 | 15 |
| 3 | 7080 | 15 |
| 0 | 8062 | 15 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(exp.f64 x) |
(exp.f64 (neg.f64 x)) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (neg.f64 (exp.f64 (neg.f64 x))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 2 binary64)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) |
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))) |
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (tanh.f64 x)) (exp.f64 (+.f64 x x))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (tanh.f64 x)) (expm1.f64 (-.f64 (neg.f64 x) x)))) |
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (tanh.f64 x)) (expm1.f64 (-.f64 (neg.f64 x) x))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (tanh.f64 x)) (exp.f64 (+.f64 x x)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (exp.f64 (+.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (tanh.f64 x))) (*.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (tanh.f64 x)))) |
(+.f64 (*.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (tanh.f64 x))) (*.f64 (exp.f64 (+.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (tanh.f64 x)))) |
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 x))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (tanh.f64 x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 2 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (cosh.f64 x) #s(literal -2 binary64))) (neg.f64 (tanh.f64 x))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)))) (/.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 (tanh.f64 x) (tanh.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 (tanh.f64 x) (tanh.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64)))))) |
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(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 3 binary64)))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (cosh.f64 x) #s(literal -2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) #s(literal 1 binary64))) |
(*.f64 #s(literal -2 binary64) (neg.f64 (cosh.f64 x))) |
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal -2 binary64)))) |
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)) (tanh.f64 x))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 3 binary64))))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 3 binary64))))) (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sinh.f64 x)) (sinh.f64 x)) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 3 binary64)))))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 (cosh.f64 x) #s(literal -2 binary64))) |
(*.f64 (/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))) (*.f64 (cosh.f64 x) #s(literal -2 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 3 binary64)))))) (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 1/2 binary64))) (cosh.f64 x)) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (pow.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) #s(literal 3 binary64)))) (fma.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (-.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))) (exp.f64 (fma.f64 x #s(literal 2 binary64) (+.f64 x x))))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)))) (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) #s(literal 1 binary64))) |
Compiled 17 893 to 1 744 computations (90.3% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 743 | 4 | 747 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 744 | 4 | 748 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (tanh.f64 x) |
| ▶ | 96.2% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
| ▶ | 96.4% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
| ▶ | 95.7% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) |
Compiled 48 to 26 computations (45.8% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (tanh.f64 x) | |
| cost-diff | 0 | (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) | |
| cost-diff | 0 | (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) | |
| cost-diff | 0 | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) | |
| cost-diff | 0 | (*.f64 x #s(literal 2/15 binary64)) | |
| cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) | |
| cost-diff | 0 | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) | |
| cost-diff | 0 | (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) | |
| cost-diff | 0 | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) |
| 11 956× | lower-fma.f32 |
| 11 944× | lower-fma.f64 |
| 3 772× | lower-*.f32 |
| 3 760× | lower-*.f64 |
| 1 684× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 193 |
| 0 | 45 | 148 |
| 1 | 104 | 146 |
| 2 | 209 | 146 |
| 3 | 399 | 146 |
| 4 | 799 | 146 |
| 5 | 1306 | 146 |
| 6 | 2033 | 146 |
| 7 | 3085 | 146 |
| 8 | 5376 | 146 |
| 0 | 8223 | 144 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) |
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
x |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
#s(literal -1/3 binary64) |
(*.f64 x x) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
x |
(*.f64 x #s(literal 2/15 binary64)) |
#s(literal 2/15 binary64) |
#s(literal -1/3 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) |
x |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) |
(fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) |
(*.f64 x #s(literal -17/315 binary64)) |
#s(literal -17/315 binary64) |
#s(literal 2/15 binary64) |
#s(literal -1/3 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(tanh.f64 x) |
x |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) |
x |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 x #s(literal -1/3 binary64))) |
#s(literal -1/3 binary64) |
(*.f64 x x) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
x |
(*.f64 x #s(literal 2/15 binary64)) |
#s(literal 2/15 binary64) |
#s(literal -1/3 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
x |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) |
(fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) |
(*.f64 x #s(literal -17/315 binary64)) |
#s(literal -17/315 binary64) |
#s(literal 2/15 binary64) |
#s(literal -1/3 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(tanh.f64 x) |
x |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.015625 | (tanh.f64 x) | |
| accuracy | 0.07421875 | (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) | |
| accuracy | 0.09765625 | (*.f64 x (*.f64 x x)) | |
| accuracy | 0.30859375 | (*.f64 x #s(literal -17/315 binary64)) | |
| accuracy | 2.4478142227959956 | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) | |
| accuracy | 0.017910009768442016 | (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) | |
| accuracy | 0.07421875 | (*.f64 x #s(literal 2/15 binary64)) | |
| accuracy | 0.09765625 | (*.f64 x (*.f64 x x)) | |
| accuracy | 2.295050055134132 | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.01171875 | (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) | |
| accuracy | 0.19921875 | (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) | |
| accuracy | 2.7223119874549933 | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) |
| 82.0ms | 154× | 1 | valid |
| 64.0ms | 83× | 2 | valid |
| 4.0ms | 19× | 0 | valid |
Compiled 164 to 31 computations (81.1% saved)
ival-exp: 40.0ms (31.9% of total)ival-mult: 29.0ms (23.2% of total)adjust: 17.0ms (13.6% of total)const: 15.0ms (12% of total)ival-add: 13.0ms (10.4% of total)ival-div: 6.0ms (4.8% of total)ival-sub: 3.0ms (2.4% of total)ival-tanh: 1.0ms (0.8% of total)ival-neg: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) (patch (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (patch (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) (patch (fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 2/15 binary64)) (patch (*.f64 x #s(literal 2/15 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) (patch (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (patch (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #<representation binary64>) () ()) |
#s(alt (tanh.f64 x) (patch (tanh.f64 x) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal -17/315 binary64)) (patch (*.f64 x #s(literal -17/315 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) (patch (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) (patch (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) (patch (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) (patch (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (pow x 3)) (taylor inf x) (#s(alt (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) (patch (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) (taylor inf x) (#s(alt (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) (patch (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) (taylor inf x) (#s(alt (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) (patch (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) (taylor inf x) (#s(alt (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) (patch (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (pow x 3)) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) (patch (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) (patch (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) (patch (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) (patch (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (patch (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (patch (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (patch (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (patch (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (pow x 2)) (taylor inf x) (#s(alt (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (patch (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (pow x 2)) (taylor inf x) (#s(alt (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (patch (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (pow x 2)) (taylor inf x) (#s(alt (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (patch (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (pow x 2)) (taylor inf x) (#s(alt (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (patch (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (patch (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (patch (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (patch (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (patch (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ())) ()) |
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#s(alt (* -17/315 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -17/315 binary64)) (patch (*.f64 x #s(literal -17/315 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -17/315 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -17/315 binary64)) (patch (*.f64 x #s(literal -17/315 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -17/315 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -17/315 binary64)) (patch (*.f64 x #s(literal -17/315 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -17/315 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -17/315 binary64)) (patch (*.f64 x #s(literal -17/315 binary64)) #<representation binary64>) () ())) ()) |
45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (* -1/3 (* x x)) |
| 1.0ms | x | @ | -inf | (* x (+ (* x (* x -17/315)) 2/15)) |
| 1.0ms | x | @ | inf | (tanh x) |
| 1.0ms | x | @ | -inf | (tanh x) |
| 1.0ms | x | @ | inf | (+ (* x (* -1/3 (* x x))) x) |
| 1× | egg-herbie |
| 8 442× | lower-fma.f64 |
| 8 442× | lower-fma.f32 |
| 3 504× | lower-*.f64 |
| 3 504× | lower-*.f32 |
| 1 462× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 1496 |
| 1 | 270 | 1442 |
| 2 | 714 | 1442 |
| 3 | 2272 | 1442 |
| 4 | 6341 | 1442 |
| 0 | 8476 | 1369 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* -1/3 (pow x 3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(* -1/3 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* 2/15 (pow x 5)) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* 2/15 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
-1/3 |
(- (* 2/15 (pow x 2)) 1/3) |
(- (* 2/15 (pow x 2)) 1/3) |
(- (* 2/15 (pow x 2)) 1/3) |
(* 2/15 (pow x 2)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* 2/15 (pow x 2)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(* -17/315 (pow x 7)) |
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* -17/315 (pow x 7)) |
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
-1/3 |
(- (* 2/15 (pow x 2)) 1/3) |
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3) |
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3) |
(* -17/315 (pow x 4)) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* -17/315 (pow x 4)) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* 2/15 x) |
(* x (+ 2/15 (* -17/315 (pow x 2)))) |
(* x (+ 2/15 (* -17/315 (pow x 2)))) |
(* x (+ 2/15 (* -17/315 (pow x 2)))) |
(* -17/315 (pow x 3)) |
(* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* -17/315 (pow x 3)) |
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2)))))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* -17/315 x) |
(* -17/315 x) |
(* -17/315 x) |
(* -17/315 x) |
(* -17/315 x) |
(* -17/315 x) |
(* -17/315 x) |
(* -17/315 x) |
(* -17/315 x) |
(* -17/315 x) |
(* -17/315 x) |
(* -17/315 x) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) |
(* -1/3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/3 binary64))) |
(* -1/3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/3 binary64))) |
(* -1/3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/3 binary64))) |
(* -1/3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/3 binary64))) |
(* -1/3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/3 binary64))) |
(* -1/3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/3 binary64))) |
(* -1/3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/3 binary64))) |
(* -1/3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/3 binary64))) |
(* -1/3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/3 binary64))) |
(* -1/3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/3 binary64))) |
(* -1/3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/3 binary64))) |
(* -1/3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/3 binary64))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) |
(* 2/15 (pow x 5)) |
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* 2/15 (pow x 5)) |
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
-1/3 |
#s(literal -1/3 binary64) |
(- (* 2/15 (pow x 2)) 1/3) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(- (* 2/15 (pow x 2)) 1/3) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(- (* 2/15 (pow x 2)) 1/3) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(* -17/315 (pow x 7)) |
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x)))) |
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* -17/315 (pow x 7)) |
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
-1/3 |
#s(literal -1/3 binary64) |
(- (* 2/15 (pow x 2)) 1/3) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) |
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) |
(* -17/315 (pow x 4)) |
(*.f64 x (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* -17/315 (pow x 4)) |
(*.f64 x (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* x (+ 2/15 (* -17/315 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) |
(* x (+ 2/15 (* -17/315 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) |
(* x (+ 2/15 (* -17/315 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) |
(* -17/315 (pow x 3)) |
(*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) |
(* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) |
(* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) |
(* -17/315 (pow x 3)) |
(*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) |
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) |
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* -17/315 x) |
(*.f64 x #s(literal -17/315 binary64)) |
(* -17/315 x) |
(*.f64 x #s(literal -17/315 binary64)) |
(* -17/315 x) |
(*.f64 x #s(literal -17/315 binary64)) |
(* -17/315 x) |
(*.f64 x #s(literal -17/315 binary64)) |
(* -17/315 x) |
(*.f64 x #s(literal -17/315 binary64)) |
(* -17/315 x) |
(*.f64 x #s(literal -17/315 binary64)) |
(* -17/315 x) |
(*.f64 x #s(literal -17/315 binary64)) |
(* -17/315 x) |
(*.f64 x #s(literal -17/315 binary64)) |
(* -17/315 x) |
(*.f64 x #s(literal -17/315 binary64)) |
(* -17/315 x) |
(*.f64 x #s(literal -17/315 binary64)) |
(* -17/315 x) |
(*.f64 x #s(literal -17/315 binary64)) |
(* -17/315 x) |
(*.f64 x #s(literal -17/315 binary64)) |
| 5 014× | lower-fma.f32 |
| 5 002× | lower-fma.f64 |
| 4 596× | lower-/.f64 |
| 4 596× | lower-/.f32 |
| 3 826× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 166 |
| 0 | 45 | 123 |
| 1 | 200 | 121 |
| 2 | 1471 | 121 |
| 0 | 8589 | 119 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) |
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(*.f64 x x) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(*.f64 x #s(literal 2/15 binary64)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) |
(tanh.f64 x) |
(*.f64 x (*.f64 x x)) |
(*.f64 x #s(literal -17/315 binary64)) |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) |
(+.f64 x (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x) |
(+.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))) (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (-.f64 x (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))))) |
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)) x) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) x) |
(fma.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)))) |
(fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))))) (fma.f64 x (*.f64 x x) (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))) |
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(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))))) (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) |
(*.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal -2 binary64))))) (tanh.f64 x)) (cosh.f64 x)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal -2 binary64))))) (tanh.f64 x)) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal -2 binary64))))))) |
(*.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal -2 binary64))))) (tanh.f64 x)) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) |
(*.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal -2 binary64))))) (tanh.f64 x)) #s(literal 1 binary64)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(*.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal -2 binary64))))) (tanh.f64 x)) (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))))) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) |
(*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) |
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) |
(tanh.f64 x) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 x #s(literal -17/315 binary64)) |
(*.f64 #s(literal -17/315 binary64) x) |
Compiled 19 478 to 1 315 computations (93.2% saved)
19 alts after pruning (16 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 625 | 16 | 641 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 0 | 0 |
| Total | 626 | 19 | 645 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (tanh.f64 x) |
| 96.4% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) | |
| ✓ | 96.2% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
| ▶ | 96.4% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (-.f64 (fma.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))) (*.f64 x (*.f64 x x)) x)) |
| 96.4% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -2/45 binary64))))) (*.f64 x (*.f64 x x)) x)) | |
| 96.4% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (/.f64 (fma.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) (*.f64 x (*.f64 x x)) x)) | |
| 96.4% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 x (*.f64 x x)) x)) | |
| 96.4% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))) (*.f64 x (*.f64 x x)) x)) | |
| 96.4% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))) x)) | |
| ▶ | 96.4% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (*.f64 x x) x)) |
| 95.7% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) x)) | |
| 95.7% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)) x)) | |
| 95.0% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (+ (* x (* x (+ (* x (* x -17/315)) 2/15))) -1/3) (*.f64 x (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)) x)) | |
| 95.3% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (+ (* x (* x 2/15)) -1/3) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x)) x)) | |
| ✓ | 95.7% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) |
| ▶ | 96.1% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)))) |
| ▶ | 95.7% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)) |
| 95.7% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)) | |
| ▶ | 4.7% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))))) |
Compiled 723 to 338 computations (53.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (-.f64 (fma.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))) | |
| cost-diff | 0 | (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (-.f64 (fma.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))) (*.f64 x (*.f64 x x)) x) | |
| cost-diff | 0 | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (-.f64 (fma.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))) (*.f64 x (*.f64 x x)) x)) | |
| cost-diff | 768 | (-.f64 (fma.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal -2/45 binary64))) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)) | |
| cost-diff | 0 | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x))) | |
| cost-diff | 0 | (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) | |
| cost-diff | 0 | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)) | |
| cost-diff | 128 | (+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x) | |
| cost-diff | 0 | (*.f64 x (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) | |
| cost-diff | 0 | #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) | |
| cost-diff | 0 | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))))) | |
| cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) | |
| cost-diff | 0 | (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) | |
| cost-diff | 0 | (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (*.f64 x x) x) | |
| cost-diff | 0 | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (*.f64 x x) x)) |
| 7 240× | lower-fma.f32 |
| 7 228× | lower-fma.f64 |
| 4 402× | lower-*.f32 |
| 4 382× | lower-*.f64 |
| 1 278× | lower-neg.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 471 |
| 0 | 73 | 411 |
| 1 | 151 | 379 |
| 2 | 325 | 379 |
| 3 | 589 | 379 |
| 4 | 987 | 379 |
| 5 | 1591 | 379 |
| 6 | 2912 | 379 |
| 7 | 6297 | 379 |
| 0 | 8053 | 361 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (*.f64 x x) x)) |
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (*.f64 x x) x) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) |
x |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(*.f64 x #s(literal 2/15 binary64)) |
#s(literal 2/15 binary64) |
#s(literal -1/3 binary64) |
(*.f64 x x) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))))) |
#s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
#s(literal -1/3 binary64) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)) |
(+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x) |
(*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) |
x |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
#s(literal -1/3 binary64) |
(*.f64 x x) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) |
(*.f64 x x) |
x |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(*.f64 x #s(literal 2/15 binary64)) |
#s(literal 2/15 binary64) |
#s(literal -1/3 binary64) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (-.f64 (fma.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (-.f64 (fma.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))) (*.f64 x (*.f64 x x)) x) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (-.f64 (fma.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) |
#s(literal 8/3375 binary64) |
#s(literal -1/27 binary64) |
(-.f64 (fma.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal -2/45 binary64))) |
(fma.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)) |
#s(literal 4/225 binary64) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
#s(literal 1/9 binary64) |
(*.f64 (*.f64 x x) #s(literal -2/45 binary64)) |
#s(literal -2/45 binary64) |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (*.f64 x x) x) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) |
x |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(*.f64 x #s(literal 2/15 binary64)) |
#s(literal 2/15 binary64) |
#s(literal -1/3 binary64) |
(*.f64 x x) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))))) |
#s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
#s(literal -1/3 binary64) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x) |
(*.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
x |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 x #s(literal -1/3 binary64))) |
#s(literal -1/3 binary64) |
(*.f64 x x) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)))) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(*.f64 x x) |
x |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(*.f64 x #s(literal 2/15 binary64)) |
#s(literal 2/15 binary64) |
#s(literal -1/3 binary64) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (-.f64 (fma.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))) (*.f64 x (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (fma.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/27 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)) #s(literal 1/9 binary64))) x)) |
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (-.f64 (fma.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (fma.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/27 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)) #s(literal 1/9 binary64))) x) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (-.f64 (fma.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))) |
(/.f64 (fma.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/27 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)) #s(literal 1/9 binary64))) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) |
(fma.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/27 binary64)) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 8/3375 binary64))) |
#s(literal 8/3375 binary64) |
#s(literal -1/27 binary64) |
(-.f64 (fma.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal -2/45 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)) #s(literal 1/9 binary64)) |
(fma.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)) |
#s(literal 4/225 binary64) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
#s(literal 1/9 binary64) |
(*.f64 (*.f64 x x) #s(literal -2/45 binary64)) |
(*.f64 x (*.f64 x #s(literal -2/45 binary64))) |
#s(literal -2/45 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09765625 | (*.f64 x (*.f64 x x)) | |
| accuracy | 0.15462875976844204 | (*.f64 (*.f64 x x) (*.f64 x x)) | |
| accuracy | 0.1875 | (*.f64 (*.f64 x x) #s(literal -2/45 binary64)) | |
| accuracy | 2.295050055134132 | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (-.f64 (fma.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))) (*.f64 x (*.f64 x x)) x)) | |
| accuracy | 0.07421875 | (*.f64 x #s(literal 2/15 binary64)) | |
| accuracy | 0.20703125 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x))) | |
| accuracy | 0.3515625 | (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) | |
| accuracy | 2.295050055134132 | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)))) | |
| accuracy | 0.015625 | (+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x) | |
| accuracy | 0.125 | (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) | |
| accuracy | 0.19921875 | (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) | |
| accuracy | 2.7223119874549933 | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)) | |
| accuracy | 0.09765625 | (*.f64 x (*.f64 x x)) | |
| accuracy | 0.14453125 | (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) | |
| accuracy | 2.7223119874549933 | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))))) | |
| accuracy | 59.91265830007943 | #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) | |
| accuracy | 0.017910009768442016 | (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) | |
| accuracy | 0.07421875 | (*.f64 x #s(literal 2/15 binary64)) | |
| accuracy | 0.3515625 | (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) | |
| accuracy | 2.295050055134132 | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (*.f64 x x) x)) |
| 106.0ms | 154× | 1 | valid |
| 102.0ms | 83× | 2 | valid |
| 6.0ms | 19× | 0 | valid |
Compiled 386 to 44 computations (88.6% saved)
ival-exp: 38.0ms (22.1% of total)ival-mult: 38.0ms (22.1% of total)const: 37.0ms (21.6% of total)adjust: 24.0ms (14% of total)ival-add: 16.0ms (9.3% of total)ival-div: 12.0ms (7% of total)ival-sub: 5.0ms (2.9% of total)ival-neg: 1.0ms (0.6% 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 #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (*.f64 x x) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (*.f64 x x) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (*.f64 x x) x) (patch (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (*.f64 x x) x) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))))) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) (patch #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) (patch (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x) (patch (+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (patch (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (patch (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)))) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) (patch (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) #<representation binary64>) () ()) |
#s(alt (-.f64 (fma.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal -2/45 binary64))) (patch (-.f64 (fma.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal -2/45 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (-.f64 (fma.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (-.f64 (fma.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (-.f64 (fma.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))) (*.f64 x (*.f64 x x)) x) (patch (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (-.f64 (fma.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))) (*.f64 x (*.f64 x x)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (-.f64 (fma.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))) (patch (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (-.f64 (fma.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 2/15 binary64)) (patch (*.f64 x #s(literal 2/15 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) #s(literal -2/45 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -2/45 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) (*.f64 x x)) (patch (*.f64 (*.f64 x x) (*.f64 x x)) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt (pow x 4) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 x x)) (patch (*.f64 (*.f64 x x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 x x)) (patch (*.f64 (*.f64 x x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 x x)) (patch (*.f64 (*.f64 x x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 x x)) (patch (*.f64 (*.f64 x x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 x x)) (patch (*.f64 (*.f64 x x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 x x)) (patch (*.f64 (*.f64 x x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 x x)) (patch (*.f64 (*.f64 x x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (+ (* (/ (+ (* (* x (* x x)) (* (* x (* x x)) 8/3375)) -1/27) (- (+ (* 4/225 (* (* x x) (* x x))) 1/9) (* (* x x) -2/45))) (* x (* x x))) x) |
| 1.0ms | x | @ | inf | (/ (+ (* (* x (* x x)) (* (* x (* x x)) 8/3375)) -1/27) (- (+ (* 4/225 (* (* x x) (* x x))) 1/9) (* (* x x) -2/45))) |
| 1.0ms | x | @ | -inf | (+ (* (/ (+ (* (* x (* x x)) (* (* x (* x x)) 8/3375)) -1/27) (- (+ (* 4/225 (* (* x x) (* x x))) 1/9) (* (* x x) -2/45))) (* x (* x x))) x) |
| 0.0ms | x | @ | inf | (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) |
| 0.0ms | x | @ | 0 | (+ (* (/ (+ (* (* x (* x x)) (* (* x (* x x)) 8/3375)) -1/27) (- (+ (* 4/225 (* (* x x) (* x x))) 1/9) (* (* x x) -2/45))) (* x (* x x))) x) |
| 1× | egg-herbie |
| 7 166× | lower-fma.f64 |
| 7 166× | lower-fma.f32 |
| 3 062× | lower-*.f64 |
| 3 062× | lower-*.f32 |
| 1 610× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 137 | 2364 |
| 1 | 346 | 2273 |
| 2 | 852 | 2272 |
| 3 | 2411 | 2272 |
| 4 | 5730 | 2272 |
| 0 | 8309 | 2156 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* 2/15 (pow x 5)) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* 2/15 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(* -1/3 x) |
(* x (- (* 2/15 (pow x 2)) 1/3)) |
(* x (- (* 2/15 (pow x 2)) 1/3)) |
(* x (- (* 2/15 (pow x 2)) 1/3)) |
(* 2/15 (pow x 3)) |
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* 2/15 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
-1/3 |
(- (* 2/15 (pow x 2)) 1/3) |
(- (* 2/15 (pow x 2)) 1/3) |
(- (* 2/15 (pow x 2)) 1/3) |
(* 2/15 (pow x 2)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* 2/15 (pow x 2)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* -1/3 (pow x 3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(* -1/3 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* -1/3 (pow x 3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(* -1/3 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* 2/15 (pow x 5)) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* 2/15 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ 1 x) |
(/ (+ 1 (* 1/3 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x) |
(/ (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* -7/135 (pow x 2)) 1/45))))) x) |
(/ 15/2 (pow x 5)) |
(/ (+ 15/2 (* 75/4 (/ 1 (pow x 2)))) (pow x 5)) |
(/ (- (+ 15/2 (* 75/4 (/ 1 (pow x 2)))) (/ 75/8 (pow x 4))) (pow x 5)) |
(/ (+ 15/2 (+ (* -1 (/ (+ 75/8 (* 2625/16 (/ 1 (pow x 2)))) (pow x 4))) (* 75/4 (/ 1 (pow x 2))))) (pow x 5)) |
(/ 15/2 (pow x 5)) |
(/ (+ 15/2 (* 75/4 (/ 1 (pow x 2)))) (pow x 5)) |
(* -1 (/ (- (/ 75/8 (pow x 4)) (+ 15/2 (* 75/4 (/ 1 (pow x 2))))) (pow x 5))) |
(* -1 (/ (- (+ (* 2625/16 (/ 1 (pow x 6))) (/ 75/8 (pow x 4))) (+ 15/2 (* 75/4 (/ 1 (pow x 2))))) (pow x 5))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* 2/15 (pow x 5)) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* 2/15 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
1/9 |
(+ 1/9 (* 2/45 (pow x 2))) |
(+ 1/9 (* (pow x 2) (+ 2/45 (* 4/225 (pow x 2))))) |
(+ 1/9 (* (pow x 2) (+ 2/45 (* 4/225 (pow x 2))))) |
(* 4/225 (pow x 4)) |
(* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 4/225 (+ (/ 1/9 (pow x 4)) (* 2/45 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 4/225 (+ (/ 1/9 (pow x 4)) (* 2/45 (/ 1 (pow x 2)))))) |
(* 4/225 (pow x 4)) |
(* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 4/225 (+ (/ 1/9 (pow x 4)) (* 2/45 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 4/225 (+ (/ 1/9 (pow x 4)) (* 2/45 (/ 1 (pow x 2)))))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* 2/15 (pow x 5)) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* 2/15 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
-1/3 |
(- (* 2/15 (pow x 2)) 1/3) |
(- (* 2/15 (pow x 2)) 1/3) |
(- (* 2/15 (pow x 2)) 1/3) |
(* 2/15 (pow x 2)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* 2/15 (pow x 2)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* 2/15 x) |
(* -2/45 (pow x 2)) |
(* -2/45 (pow x 2)) |
(* -2/45 (pow x 2)) |
(* -2/45 (pow x 2)) |
(* -2/45 (pow x 2)) |
(* -2/45 (pow x 2)) |
(* -2/45 (pow x 2)) |
(* -2/45 (pow x 2)) |
(* -2/45 (pow x 2)) |
(* -2/45 (pow x 2)) |
(* -2/45 (pow x 2)) |
(* -2/45 (pow x 2)) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) |
(* 2/15 (pow x 5)) |
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* 2/15 (pow x 5)) |
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
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(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/3 (pow x 2))) x) |
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/45 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* -7/135 (pow x 2)) 1/45))))) x) |
(/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -7/135 binary64) #s(literal -1/45 binary64)) #s(literal 1/3 binary64))) #s(literal 1 binary64)) x) |
(/ 15/2 (pow x 5)) |
(/.f64 #s(literal 15/2 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ (+ 15/2 (* 75/4 (/ 1 (pow x 2)))) (pow x 5)) |
(/.f64 (+.f64 #s(literal 15/2 binary64) (/.f64 #s(literal 75/4 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(/ (- (+ 15/2 (* 75/4 (/ 1 (pow x 2)))) (/ 75/8 (pow x 4))) (pow x 5)) |
(/.f64 (+.f64 #s(literal 15/2 binary64) (+.f64 (/.f64 #s(literal 75/4 binary64) (*.f64 x x)) (/.f64 #s(literal -75/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 5 binary64))) |
(/ (+ 15/2 (+ (* -1 (/ (+ 75/8 (* 2625/16 (/ 1 (pow x 2)))) (pow x 4))) (* 75/4 (/ 1 (pow x 2))))) (pow x 5)) |
(/.f64 (+.f64 #s(literal 15/2 binary64) (+.f64 (/.f64 #s(literal 75/4 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal -75/8 binary64) (/.f64 #s(literal -2625/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 5 binary64))) |
(/ 15/2 (pow x 5)) |
(/.f64 #s(literal 15/2 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ (+ 15/2 (* 75/4 (/ 1 (pow x 2)))) (pow x 5)) |
(/.f64 (+.f64 #s(literal 15/2 binary64) (/.f64 #s(literal 75/4 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (/ (- (/ 75/8 (pow x 4)) (+ 15/2 (* 75/4 (/ 1 (pow x 2))))) (pow x 5))) |
(/.f64 (+.f64 #s(literal 15/2 binary64) (+.f64 (/.f64 #s(literal 75/4 binary64) (*.f64 x x)) (/.f64 #s(literal -75/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (/ (- (+ (* 2625/16 (/ 1 (pow x 6))) (/ 75/8 (pow x 4))) (+ 15/2 (* 75/4 (/ 1 (pow x 2))))) (pow x 5))) |
(/.f64 (+.f64 (/.f64 #s(literal 75/4 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -75/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 15/2 binary64) (/.f64 #s(literal -2625/16 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 5 binary64))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) |
(* 2/15 (pow x 5)) |
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* 2/15 (pow x 5)) |
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
1/9 |
#s(literal 1/9 binary64) |
(+ 1/9 (* 2/45 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 2/45 binary64)) #s(literal 1/9 binary64)) |
(+ 1/9 (* (pow x 2) (+ 2/45 (* 4/225 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 4/225 binary64)) #s(literal 2/45 binary64)) #s(literal 1/9 binary64)) |
(+ 1/9 (* (pow x 2) (+ 2/45 (* 4/225 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 4/225 binary64)) #s(literal 2/45 binary64)) #s(literal 1/9 binary64)) |
(* 4/225 (pow x 4)) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 4/225 binary64))) |
(* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 4/225 binary64)) #s(literal 2/45 binary64))) |
(* (pow x 4) (+ 4/225 (+ (/ 1/9 (pow x 4)) (* 2/45 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 4/225 binary64)) #s(literal 2/45 binary64)) #s(literal 1/9 binary64)) |
(* (pow x 4) (+ 4/225 (+ (/ 1/9 (pow x 4)) (* 2/45 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 4/225 binary64)) #s(literal 2/45 binary64)) #s(literal 1/9 binary64)) |
(* 4/225 (pow x 4)) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 4/225 binary64))) |
(* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 4/225 binary64)) #s(literal 2/45 binary64))) |
(* (pow x 4) (+ 4/225 (+ (/ 1/9 (pow x 4)) (* 2/45 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 4/225 binary64)) #s(literal 2/45 binary64)) #s(literal 1/9 binary64)) |
(* (pow x 4) (+ 4/225 (+ (/ 1/9 (pow x 4)) (* 2/45 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 4/225 binary64)) #s(literal 2/45 binary64)) #s(literal 1/9 binary64)) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) |
(* 2/15 (pow x 5)) |
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* 2/15 (pow x 5)) |
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
-1/3 |
#s(literal -1/3 binary64) |
(- (* 2/15 (pow x 2)) 1/3) |
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) |
(- (* 2/15 (pow x 2)) 1/3) |
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) |
(- (* 2/15 (pow x 2)) 1/3) |
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* 2/15 x) |
(*.f64 x #s(literal 2/15 binary64)) |
(* -2/45 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2/45 binary64))) |
(* -2/45 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2/45 binary64))) |
(* -2/45 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2/45 binary64))) |
(* -2/45 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2/45 binary64))) |
(* -2/45 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2/45 binary64))) |
(* -2/45 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2/45 binary64))) |
(* -2/45 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2/45 binary64))) |
(* -2/45 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2/45 binary64))) |
(* -2/45 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2/45 binary64))) |
(* -2/45 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2/45 binary64))) |
(* -2/45 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2/45 binary64))) |
(* -2/45 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2/45 binary64))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
| 5 756× | lower-fma.f32 |
| 5 744× | lower-fma.f64 |
| 4 318× | lower-*.f32 |
| 4 298× | lower-*.f64 |
| 3 844× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 386 |
| 0 | 73 | 226 |
| 1 | 295 | 206 |
| 2 | 2134 | 206 |
| 0 | 8308 | 201 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (*.f64 x x) x)) |
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (*.f64 x x) x) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))))) |
#s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
(+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)) |
(*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x))) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) |
(-.f64 (fma.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal -2/45 binary64))) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (-.f64 (fma.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (-.f64 (fma.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))) (*.f64 x (*.f64 x x)) x) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (-.f64 (fma.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))) |
(*.f64 x #s(literal 2/15 binary64)) |
(*.f64 (*.f64 x x) #s(literal -2/45 binary64)) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)))) x)) |
(+.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)))))) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))))) x) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)))))) (*.f64 #s(literal 1 binary64) x)) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))))) #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) |
(exp.f64 (log.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)))) x))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)))) x)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)))) x) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))))))) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)))) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)))) (neg.f64 x)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))))))) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)))) (neg.f64 x))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)))) (neg.f64 x))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))))))) (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)))) (neg.f64 x)))) (/.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)))) (neg.f64 x))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))))))) (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))))))) (-.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)))))))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))))) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)))) x) |
(fma.f64 (*.f64 x (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x x) x) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) x) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))))) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8/3375 binary64))) #s(literal -1/27 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 2/45 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)))) (*.f64 x (*.f64 x x))) x) |
(fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8/3375 binary64))) #s(literal -1/27 binary64)) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 2/45 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)))) x) |
(fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))))) #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 2/45 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)))) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8/3375 binary64))) #s(literal -1/27 binary64)))) x) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)))) x x) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8/3375 binary64))) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 2/45 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)))) x) |
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8/3375 binary64))) #s(literal -1/27 binary64)) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 8/91125 binary64)))) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -2/45 binary64)) (fma.f64 (*.f64 x x) #s(literal -2/45 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64))))))) x) |
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8/3375 binary64))) #s(literal -1/27 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -2/45 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64))) (fma.f64 (*.f64 x x) #s(literal 2/45 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64))))) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -2/45 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64))))) x) |
(fma.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -2/45 binary64)) (fma.f64 (*.f64 x x) #s(literal -2/45 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)))))) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -2/45 binary64)) (fma.f64 (*.f64 x x) #s(literal -2/45 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64))))) x) |
(fma.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -2/45 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)))) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) (fma.f64 (*.f64 x x) #s(literal -2/45 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64))) x) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 2/45 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8/3375 binary64))) #s(literal -1/27 binary64)))) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 2/45 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 512/38443359375 binary64))) #s(literal -1/19683 binary64)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 64/11390625 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 8/91125 binary64))))) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 2/45 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64))) (fma.f64 (*.f64 #s(literal 64/11390625 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 8/3375 binary64)))) #s(literal 1/27 binary64))) x) |
(fma.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8/3375 binary64))) #s(literal -1/27 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 2/45 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)))) x) |
(fma.f64 (/.f64 x (fma.f64 (*.f64 x x) #s(literal 2/45 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8/3375 binary64))) #s(literal -1/27 binary64)))) x) |
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/45 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8/3375 binary64))) #s(literal -1/27 binary64)))) x) |
(fma.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 2/45 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 512/38443359375 binary64))) #s(literal -1/19683 binary64)))) (/.f64 (*.f64 x x) (fma.f64 #s(literal 64/11390625 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 8/91125 binary64))))) x) |
(fma.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 2/45 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64))) (fma.f64 (*.f64 #s(literal 64/11390625 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64)))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 8/3375 binary64)))) #s(literal 1/27 binary64))) x) |
(fma.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 2/45 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 512/38443359375 binary64))) #s(literal -1/19683 binary64)))) (/.f64 x (fma.f64 #s(literal 64/11390625 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 8/91125 binary64))))) x) |
(fma.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 2/45 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64))) (fma.f64 (*.f64 #s(literal 64/11390625 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64)))) (/.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 8/3375 binary64)))) #s(literal 1/27 binary64))) x) |
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(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8/3375 binary64))) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 2/45 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 2/45 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8/3375 binary64))) #s(literal -1/27 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 2/45 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8/3375 binary64))) #s(literal -1/27 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8/3375 binary64))) #s(literal -1/27 binary64)) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 8/91125 binary64)))) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -2/45 binary64)) (fma.f64 (*.f64 x x) #s(literal -2/45 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8/3375 binary64))) #s(literal -1/27 binary64)) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 8/91125 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -2/45 binary64)) (fma.f64 (*.f64 x x) #s(literal -2/45 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)))))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8/3375 binary64))) #s(literal -1/27 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -2/45 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64))) (fma.f64 (*.f64 x x) #s(literal 2/45 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64))))) (fma.f64 (*.f64 x x) #s(literal -2/45 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8/3375 binary64))) #s(literal -1/27 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -2/45 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64))) (fma.f64 (*.f64 x x) #s(literal 2/45 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -2/45 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2/45 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 512/38443359375 binary64))) #s(literal -1/19683 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 64/11390625 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 8/91125 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2/45 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64))) (fma.f64 (*.f64 #s(literal 64/11390625 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 8/3375 binary64)))) #s(literal 1/27 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 512/38443359375 binary64))) #s(literal -1/19683 binary64)) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 8/91125 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 64/11390625 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 8/91125 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -2/45 binary64)) (fma.f64 (*.f64 x x) #s(literal -2/45 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)))))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 512/38443359375 binary64))) #s(literal -1/19683 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -2/45 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64))) (fma.f64 (*.f64 x x) #s(literal 2/45 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 64/11390625 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 8/91125 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -2/45 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 64/11390625 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64)) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 8/91125 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 8/3375 binary64)))) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -2/45 binary64)) (fma.f64 (*.f64 x x) #s(literal -2/45 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)))))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 64/11390625 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -2/45 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64))) (fma.f64 (*.f64 x x) #s(literal 2/45 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 8/3375 binary64)))) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -2/45 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)))))) |
(*.f64 x #s(literal 2/15 binary64)) |
(*.f64 #s(literal 2/15 binary64) x) |
(*.f64 x (*.f64 x #s(literal -2/45 binary64))) |
(*.f64 x (*.f64 (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) |
(*.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 x #s(literal -1/3 binary64))) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) |
(*.f64 (*.f64 x x) #s(literal -2/45 binary64)) |
(*.f64 #s(literal -2/45 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) |
(*.f64 (*.f64 x #s(literal -2/45 binary64)) x) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) |
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 (*.f64 x x)))) |
(pow.f64 x #s(literal 4 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 (*.f64 x (*.f64 x x)) x) |
Compiled 54 482 to 2 052 computations (96.2% saved)
15 alts after pruning (10 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 237 | 7 | 1 244 |
| Fresh | 8 | 3 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 248 | 15 | 1 263 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (tanh.f64 x) |
| ▶ | 96.4% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
| ✓ | 96.2% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
| 95.7% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) x)) | |
| ▶ | 95.7% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) #s(literal -1/3 binary64))) (*.f64 x x) x)) |
| ✓ | 95.7% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) |
| 95.8% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/45 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)))) | |
| 96.0% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)))) | |
| ▶ | 95.1% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) (/.f64 #s(literal 1 binary64) x)))) |
| ✓ | 95.7% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)) |
| 95.7% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)) | |
| ▶ | 4.7% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64))))) |
| 4.7% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x))) | |
| ▶ | 4.7% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))) |
| ✓ | 4.7% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))))) |
Compiled 284 to 147 computations (48.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | #s(approx (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) (/.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) (/.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 0 | #s(approx (+ (* x (* x 2/15)) -1/3) #s(literal -1/3 binary64)) | |
| cost-diff | 0 | (*.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) #s(literal -1/3 binary64))) | |
| cost-diff | 0 | (fma.f64 (*.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) #s(literal -1/3 binary64))) (*.f64 x x) x) | |
| cost-diff | 0 | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) #s(literal -1/3 binary64))) (*.f64 x x) x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64))))) | |
| cost-diff | 0 | (*.f64 x (*.f64 x #s(literal -1/3 binary64))) | |
| cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) | |
| cost-diff | 0 | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) | |
| cost-diff | 0 | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
| 15 666× | lower-fma.f32 |
| 15 660× | lower-fma.f64 |
| 3 454× | lower-*.f32 |
| 3 440× | lower-*.f64 |
| 2 432× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 342 |
| 0 | 58 | 300 |
| 1 | 114 | 298 |
| 2 | 178 | 298 |
| 3 | 266 | 298 |
| 4 | 353 | 298 |
| 5 | 519 | 298 |
| 6 | 913 | 298 |
| 7 | 1400 | 298 |
| 8 | 2262 | 298 |
| 9 | 3766 | 298 |
| 10 | 5432 | 298 |
| 11 | 6877 | 298 |
| 0 | 8020 | 292 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) |
(*.f64 x x) |
x |
#s(literal 2/15 binary64) |
#s(literal -1/3 binary64) |
(*.f64 x (*.f64 x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))) |
#s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) |
x |
(*.f64 x (*.f64 x #s(literal -1/3 binary64))) |
(*.f64 x #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64))))) |
#s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64))) |
(*.f64 x x) |
x |
(*.f64 x #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) #s(literal -1/3 binary64))) (*.f64 x x) x)) |
(fma.f64 (*.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) #s(literal -1/3 binary64))) (*.f64 x x) x) |
(*.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) #s(literal -1/3 binary64))) |
x |
#s(approx (+ (* x (* x 2/15)) -1/3) #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
(*.f64 x x) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) (/.f64 #s(literal 1 binary64) x))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
x |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) x)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) x) |
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(*.f64 x x) |
x |
#s(literal 2/15 binary64) |
#s(literal -1/3 binary64) |
(*.f64 x (*.f64 x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))) |
#s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) |
x |
(*.f64 x (*.f64 x #s(literal -1/3 binary64))) |
(*.f64 x #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64))))) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))) |
#s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)))) |
#s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) |
(*.f64 x x) |
x |
(*.f64 x #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) #s(literal -1/3 binary64))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x 2/15)) -1/3) #s(literal -1/3 binary64)) x)) |
(fma.f64 (*.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) #s(literal -1/3 binary64))) (*.f64 x x) x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x 2/15)) -1/3) #s(literal -1/3 binary64)) x) |
(*.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) #s(literal -1/3 binary64))) |
x |
#s(approx (+ (* x (* x 2/15)) -1/3) #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
(*.f64 x x) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) (/.f64 #s(literal 1 binary64) x))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.20703125 | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 2.295050055134132 | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) (/.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 2.9819455182984522 | #s(approx (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.01171875 | (fma.f64 (*.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) #s(literal -1/3 binary64))) (*.f64 x x) x) | |
| accuracy | 0.3515625 | (*.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) #s(literal -1/3 binary64))) | |
| accuracy | 2.295050055134132 | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) #s(literal -1/3 binary64))) (*.f64 x x) x)) | |
| accuracy | 3.2181692941443067 | #s(approx (+ (* x (* x 2/15)) -1/3) #s(literal -1/3 binary64)) | |
| accuracy | 0.12337875976844202 | (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64))) | |
| accuracy | 0.359375 | (*.f64 x #s(literal -1/3 binary64)) | |
| accuracy | 2.7223119874549933 | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64))))) | |
| accuracy | 59.91265830007943 | #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)))) | |
| accuracy | 0.1328125 | (*.f64 x (*.f64 x #s(literal -1/3 binary64))) | |
| accuracy | 0.359375 | (*.f64 x #s(literal -1/3 binary64)) | |
| accuracy | 2.7223119874549933 | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))) | |
| accuracy | 59.91265830007943 | #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) | |
| accuracy | 0.01171875 | (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) | |
| accuracy | 0.015625 | (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) | |
| accuracy | 0.09765625 | (*.f64 x (*.f64 x x)) | |
| accuracy | 2.295050055134132 | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
| 153.0ms | 83× | 2 | valid |
| 114.0ms | 154× | 1 | valid |
| 22.0ms | 19× | 0 | valid |
Compiled 227 to 36 computations (84.1% saved)
ival-mult: 97.0ms (38.6% of total)adjust: 51.0ms (20.3% of total)ival-exp: 41.0ms (16.3% of total)ival-add: 37.0ms (14.7% of total)ival-div: 11.0ms (4.4% of total)const: 10.0ms (4% of total)ival-sub: 3.0ms (1.2% of total)ival-neg: 1.0ms (0.4% 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 #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) (patch #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (patch (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (patch (*.f64 x (*.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64))))) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)))) (patch #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64))) (patch (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) #s(literal -1/3 binary64))) (*.f64 x x) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) #s(literal -1/3 binary64))) (*.f64 x x) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) #s(literal -1/3 binary64))) (*.f64 x x) x) (patch (fma.f64 (*.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) #s(literal -1/3 binary64))) (*.f64 x x) x) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) #s(literal -1/3 binary64))) (patch (*.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) #s(literal -1/3 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (* x 2/15)) -1/3) #s(literal -1/3 binary64)) (patch #s(approx (+ (* x (* x 2/15)) -1/3) #s(literal -1/3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) (/.f64 #s(literal 1 binary64) x)))) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) (/.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal -1/3 binary64)) (patch (*.f64 x #s(literal -1/3 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1/3 x) (taylor inf x) (#s(alt (*.f64 x #s(literal -1/3 binary64)) (patch (*.f64 x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 x) (taylor inf x) (#s(alt (*.f64 x #s(literal -1/3 binary64)) (patch (*.f64 x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -1/3 binary64)) (patch (*.f64 x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -1/3 binary64)) (patch (*.f64 x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -1/3 binary64)) (patch (*.f64 x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -1/3 binary64)) (patch (*.f64 x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (* x -1/3) |
| 0.0ms | x | @ | -inf | (/ 1 x) |
| 0.0ms | x | @ | inf | (* x -1/3) |
| 0.0ms | x | @ | -inf | (* x -1/3) |
| 0.0ms | x | @ | 0 | (/ 1 x) |
| 1× | egg-herbie |
| 8 434× | lower-fma.f64 |
| 8 434× | lower-fma.f32 |
| 3 068× | lower-*.f64 |
| 3 068× | lower-*.f32 |
| 1 746× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 117 | 2082 |
| 1 | 292 | 1997 |
| 2 | 735 | 1996 |
| 3 | 2171 | 1996 |
| 4 | 5395 | 1996 |
| 0 | 8308 | 1900 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* 2/15 (pow x 5)) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* 2/15 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
-1/3 |
(- (* 2/15 (pow x 2)) 1/3) |
(- (* 2/15 (pow x 2)) 1/3) |
(- (* 2/15 (pow x 2)) 1/3) |
(* 2/15 (pow x 2)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* 2/15 (pow x 2)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* -1/3 (pow x 3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(* -1/3 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* -1/3 (pow x 3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(* -1/3 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* 2/15 (pow x 5)) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* 2/15 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(* -1/3 x) |
(* x (- (* 2/15 (pow x 2)) 1/3)) |
(* x (- (* 2/15 (pow x 2)) 1/3)) |
(* x (- (* 2/15 (pow x 2)) 1/3)) |
(* 2/15 (pow x 3)) |
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* 2/15 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
-1/3 |
(- (* 2/15 (pow x 2)) 1/3) |
(- (* 2/15 (pow x 2)) 1/3) |
(- (* 2/15 (pow x 2)) 1/3) |
(* 2/15 (pow x 2)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* 2/15 (pow x 2)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* 2/15 (pow x 5)) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* 2/15 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(/ 1 x) |
(/ (+ 1 (* 1/3 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x) |
(/ (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* -7/135 (pow x 2)) 1/45))))) x) |
(/ 15/2 (pow x 5)) |
(/ (+ 15/2 (* 75/4 (/ 1 (pow x 2)))) (pow x 5)) |
(/ (- (+ 15/2 (* 75/4 (/ 1 (pow x 2)))) (/ 75/8 (pow x 4))) (pow x 5)) |
(/ (+ 15/2 (+ (* -1 (/ (+ 75/8 (* 2625/16 (/ 1 (pow x 2)))) (pow x 4))) (* 75/4 (/ 1 (pow x 2))))) (pow x 5)) |
(/ 15/2 (pow x 5)) |
(/ (+ 15/2 (* 75/4 (/ 1 (pow x 2)))) (pow x 5)) |
(* -1 (/ (- (/ 75/8 (pow x 4)) (+ 15/2 (* 75/4 (/ 1 (pow x 2))))) (pow x 5))) |
(* -1 (/ (- (+ (* 2625/16 (/ 1 (pow x 6))) (/ 75/8 (pow x 4))) (+ 15/2 (* 75/4 (/ 1 (pow x 2))))) (pow x 5))) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* -1/3 x) |
(* -1/3 x) |
(* -1/3 x) |
(* -1/3 x) |
(* -1/3 x) |
(* -1/3 x) |
(* -1/3 x) |
(* -1/3 x) |
(* -1/3 x) |
(* -1/3 x) |
(* -1/3 x) |
(* -1/3 x) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))) x) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) |
(* 2/15 (pow x 5)) |
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* 2/15 (pow x 5)) |
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
-1/3 |
#s(literal -1/3 binary64) |
(- (* 2/15 (pow x 2)) 1/3) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(- (* 2/15 (pow x 2)) 1/3) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(- (* 2/15 (pow x 2)) 1/3) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(* 2/15 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2/15 binary64))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(* 2/15 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2/15 binary64))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
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(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) |
(* 2/15 (pow x 5)) |
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* 2/15 (pow x 5)) |
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/3 (pow x 2))) x) |
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x) |
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/45 binary64)) #s(literal 1/3 binary64))) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* -7/135 (pow x 2)) 1/45))))) x) |
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -7/135 binary64) #s(literal -1/45 binary64))) #s(literal 1/3 binary64))) #s(literal 1 binary64)) x) |
(/ 15/2 (pow x 5)) |
(/.f64 #s(literal 15/2 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ (+ 15/2 (* 75/4 (/ 1 (pow x 2)))) (pow x 5)) |
(/.f64 (+.f64 #s(literal 15/2 binary64) (/.f64 #s(literal 75/4 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(/ (- (+ 15/2 (* 75/4 (/ 1 (pow x 2)))) (/ 75/8 (pow x 4))) (pow x 5)) |
(/.f64 (+.f64 (+.f64 #s(literal 15/2 binary64) (/.f64 #s(literal 75/4 binary64) (*.f64 x x))) (/.f64 #s(literal -75/8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 5 binary64))) |
(/ (+ 15/2 (+ (* -1 (/ (+ 75/8 (* 2625/16 (/ 1 (pow x 2)))) (pow x 4))) (* 75/4 (/ 1 (pow x 2))))) (pow x 5)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -75/4 binary64) (/.f64 (+.f64 #s(literal 75/8 binary64) (/.f64 #s(literal 2625/16 binary64) (*.f64 x x))) (*.f64 x x))) #s(literal 15/2 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(/ 15/2 (pow x 5)) |
(/.f64 #s(literal 15/2 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ (+ 15/2 (* 75/4 (/ 1 (pow x 2)))) (pow x 5)) |
(/.f64 (+.f64 #s(literal 15/2 binary64) (/.f64 #s(literal 75/4 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (/ (- (/ 75/8 (pow x 4)) (+ 15/2 (* 75/4 (/ 1 (pow x 2))))) (pow x 5))) |
(/.f64 (+.f64 (+.f64 #s(literal 15/2 binary64) (/.f64 #s(literal 75/4 binary64) (*.f64 x x))) (/.f64 #s(literal -75/8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (/ (- (+ (* 2625/16 (/ 1 (pow x 6))) (/ 75/8 (pow x 4))) (+ 15/2 (* 75/4 (/ 1 (pow x 2))))) (pow x 5))) |
(/.f64 (+.f64 (+.f64 #s(literal 15/2 binary64) (/.f64 #s(literal 75/4 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal -75/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -2625/16 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* -1/3 x) |
(*.f64 x #s(literal -1/3 binary64)) |
(* -1/3 x) |
(*.f64 x #s(literal -1/3 binary64)) |
(* -1/3 x) |
(*.f64 x #s(literal -1/3 binary64)) |
(* -1/3 x) |
(*.f64 x #s(literal -1/3 binary64)) |
(* -1/3 x) |
(*.f64 x #s(literal -1/3 binary64)) |
(* -1/3 x) |
(*.f64 x #s(literal -1/3 binary64)) |
(* -1/3 x) |
(*.f64 x #s(literal -1/3 binary64)) |
(* -1/3 x) |
(*.f64 x #s(literal -1/3 binary64)) |
(* -1/3 x) |
(*.f64 x #s(literal -1/3 binary64)) |
(* -1/3 x) |
(*.f64 x #s(literal -1/3 binary64)) |
(* -1/3 x) |
(*.f64 x #s(literal -1/3 binary64)) |
(* -1/3 x) |
(*.f64 x #s(literal -1/3 binary64)) |
| 7 656× | lower-fma.f32 |
| 7 650× | lower-fma.f64 |
| 4 374× | lower-*.f32 |
| 4 360× | lower-*.f64 |
| 3 952× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 322 |
| 0 | 58 | 225 |
| 1 | 231 | 223 |
| 2 | 1300 | 223 |
| 0 | 8316 | 217 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) |
(*.f64 x x) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))) |
#s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) |
(*.f64 x (*.f64 x #s(literal -1/3 binary64))) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64))))) |
#s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64))) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) #s(literal -1/3 binary64))) (*.f64 x x) x)) |
(fma.f64 (*.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) #s(literal -1/3 binary64))) (*.f64 x x) x) |
(*.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) #s(literal -1/3 binary64))) |
#s(approx (+ (* x (* x 2/15)) -1/3) #s(literal -1/3 binary64)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(*.f64 x (*.f64 x x)) |
(*.f64 x #s(literal -1/3 binary64)) |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) x)) |
(+.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))))) |
(+.f64 x (neg.f64 (*.f64 (neg.f64 x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))))) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))) x) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))))) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) (neg.f64 x))))) |
(+.f64 (neg.f64 (*.f64 (neg.f64 x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))))) x) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) x)) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) x))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))))) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) (neg.f64 x)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))))) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) (neg.f64 x))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) (neg.f64 x))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))))) (-.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))))))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))))) |
(fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) x) |
(fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x x)) x) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))))) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (neg.f64 (*.f64 (neg.f64 x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) x) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))))) |
(fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (neg.f64 x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))))) |
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (*.f64 x x) x) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (neg.f64 (*.f64 (neg.f64 x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) (neg.f64 x))))) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) x x) |
(fma.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x x)) x x) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 8/3375 binary64) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64)))) x) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) x) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 8/3375 binary64) #s(literal -1/27 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64)))) x) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal -1/9 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) x) |
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(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (neg.f64 (*.f64 (neg.f64 x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) |
(/.f64 #s(approx (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 #s(approx (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) |
#s(approx (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) (/.f64 #s(literal 1 binary64) x)) |
(pow.f64 #s(approx (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(approx (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (neg.f64 #s(approx (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) x)) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 x)) |
(pow.f64 x #s(literal -1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(/.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x #s(literal -1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) x) |
Compiled 12 535 to 759 computations (93.9% saved)
15 alts after pruning (5 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 597 | 2 | 599 |
| Fresh | 2 | 3 | 5 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 5 | 5 |
| Total | 599 | 15 | 614 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (tanh.f64 x) |
| ✓ | 96.4% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
| ✓ | 96.2% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
| 95.7% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x 2/15)) -1/3) #s(literal -1/3 binary64)) x)) | |
| ✓ | 95.7% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) #s(literal -1/3 binary64))) (*.f64 x x) x)) |
| ✓ | 95.7% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) |
| 95.8% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/45 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)))) | |
| 96.0% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)))) | |
| ✓ | 95.1% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) (/.f64 #s(literal 1 binary64) x)))) |
| ✓ | 95.7% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)) |
| 95.7% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 2/15)) -1/3) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)) | |
| ✓ | 4.7% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64))))) |
| 4.7% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x))) | |
| ✓ | 4.7% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))) |
| ✓ | 4.7% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))))) |
Compiled 651 to 187 computations (71.3% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))))) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x))) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64))))) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 2/15)) -1/3) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) #s(literal -1/3 binary64))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x 2/15)) -1/3) #s(literal -1/3 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (+ (* x (* x 2/15)) -1/3) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)))) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (+ (* x (* x (+ (* x (* x -17/315)) 2/15))) -1/3) (*.f64 x (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/45 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)))) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)))) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (/.f64 (fma.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) (*.f64 x (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 x (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))) (*.f64 x (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (-.f64 (fma.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))) (*.f64 x (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -2/45 binary64))))) (*.f64 x (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))) x)) |
(tanh.f64 x) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Outputs |
|---|
(tanh.f64 x) |
2 calls:
| 9.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
Compiled 16 to 8 computations (50% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))))) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x))) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64))))) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 2/15)) -1/3) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) #s(literal -1/3 binary64))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x 2/15)) -1/3) #s(literal -1/3 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (+ (* x (* x 2/15)) -1/3) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)))) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (+ (* x (* x (+ (* x (* x -17/315)) 2/15))) -1/3) (*.f64 x (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/45 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)))) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)))) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (/.f64 (fma.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) (*.f64 x (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 x (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))) (*.f64 x (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (-.f64 (fma.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))) (*.f64 x (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -2/45 binary64))))) (*.f64 x (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))) x)) |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (*.f64 x x) x)) |
2 calls:
| 9.0ms | x |
| 6.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.4% | 1 | x |
| 96.4% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
Compiled 16 to 8 computations (50% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))))) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x))) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64))))) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 2/15)) -1/3) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) #s(literal -1/3 binary64))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x 2/15)) -1/3) #s(literal -1/3 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) (* x (+ (* x (* x 2/15)) -1/3))) x)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (+ (* x (* x 2/15)) -1/3) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x)) x)) |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) |
2 calls:
| 5.0ms | x |
| 3.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.7% | 1 | x |
| 95.7% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
Compiled 16 to 8 computations (50% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))))) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x))) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64))))) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 2/15)) -1/3) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)) |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)) |
2 calls:
| 2.0ms | x |
| 2.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.7% | 1 | x |
| 95.7% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
Compiled 16 to 8 computations (50% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))))) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x))) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64))))) |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))))) |
2 calls:
| 2.0ms | x |
| 2.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 4.7% | 1 | x |
| 4.7% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
Compiled 16 to 8 computations (50% saved)
| 1× | egg-herbie |
| 14× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 104 |
| 1 | 42 | 104 |
| 1× | saturated |
| Inputs |
|---|
(tanh.f64 x) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))))) |
| Outputs |
|---|
(tanh.f64 x) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))))) |
| 12 890× | lower-fma.f64 |
| 12 890× | lower-fma.f32 |
| 8 442× | lower-fma.f64 |
| 8 442× | lower-fma.f32 |
| 5 014× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 425 |
| 1 | 259 | 424 |
| 2 | 604 | 414 |
| 3 | 1659 | 414 |
| 4 | 2630 | 414 |
| 5 | 4160 | 414 |
| 6 | 4872 | 414 |
| 7 | 6500 | 414 |
| 0 | 8123 | 386 |
| 0 | 7 | 30 |
| 0 | 13 | 15 |
| 1 | 55 | 15 |
| 2 | 424 | 15 |
| 3 | 7080 | 15 |
| 0 | 8062 | 15 |
| 0 | 103 | 1496 |
| 1 | 270 | 1442 |
| 2 | 714 | 1442 |
| 3 | 2272 | 1442 |
| 4 | 6341 | 1442 |
| 0 | 8476 | 1369 |
| 0 | 26 | 166 |
| 0 | 45 | 123 |
| 1 | 200 | 121 |
| 2 | 1471 | 121 |
| 0 | 8589 | 119 |
| 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 |
Compiled 127 to 62 computations (51.2% saved)
(negabs x)
Compiled 128 to 56 computations (56.3% saved)
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