
Time bar (total: 5.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 50.4% | 49.6% | 0% | 0% | 0% | 0 |
| 100% | 50.4% | 0% | 49.6% | 0% | 0% | 0% | 1 |
Compiled 12 to 9 computations (25% saved)
| 536.0ms | 7 232× | 1 | valid |
| 83.0ms | 534× | 2 | valid |
| 24.0ms | 490× | 0 | valid |
ival-sin: 216.0ms (47.3% of total)adjust: 95.0ms (20.8% of total)ival-sub: 81.0ms (17.7% of total)ival-<: 41.0ms (9% of total)ival-and: 11.0ms (2.4% of total)exact: 10.0ms (2.2% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 90 | 0 | - | 0 | - | (-.f64 (sin.f64 x) x) |
| 0 | 0 | - | 0 | - | (sin.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (sin.f64 x) x) | cancellation | 90 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 90 | 0 |
| - | 0 | 166 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 90 | 0 | 0 |
| - | 0 | 0 | 166 |
| number | freq |
|---|---|
| 0 | 166 |
| 1 | 90 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 35.0ms | 454× | 1 | valid |
| 4.0ms | 26× | 2 | valid |
| 1.0ms | 32× | 0 | valid |
Compiled 22 to 13 computations (40.9% saved)
ival-sin: 12.0ms (53.7% of total)adjust: 5.0ms (22.4% of total)ival-sub: 5.0ms (22.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 80× | lower-fma.f64 |
| 80× | lower-fma.f32 |
| 48× | lower-*.f64 |
| 48× | lower-*.f32 |
| 32× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 13 |
| 1 | 15 | 11 |
| 2 | 46 | 8 |
| 3 | 103 | 8 |
| 4 | 135 | 8 |
| 5 | 137 | 8 |
| 0 | 3 | 4 |
| 0 | 5 | 4 |
| 1 | 7 | 4 |
| 2 | 12 | 4 |
| 3 | 18 | 4 |
| 4 | 26 | 4 |
| 5 | 41 | 4 |
| 6 | 74 | 4 |
| 7 | 100 | 4 |
| 8 | 143 | 4 |
| 9 | 160 | 4 |
| 10 | 172 | 4 |
| 0 | 172 | 4 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (sin.f64 x) x) |
| Outputs |
|---|
(-.f64 (sin.f64 x) x) |
(negabs x)
Compiled 4 to 3 computations (25% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 68.5% | (-.f64 (sin.f64 x) x) |
Compiled 4 to 3 computations (25% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (-.f64 (sin.f64 x) x) |
| 80× | lower-fma.f64 |
| 80× | lower-fma.f32 |
| 48× | lower-*.f64 |
| 48× | lower-*.f32 |
| 32× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 7 |
| 0 | 5 | 7 |
| 1 | 7 | 7 |
| 2 | 12 | 7 |
| 3 | 18 | 7 |
| 4 | 26 | 7 |
| 5 | 41 | 7 |
| 6 | 74 | 7 |
| 7 | 100 | 7 |
| 8 | 143 | 7 |
| 9 | 160 | 7 |
| 10 | 172 | 7 |
| 0 | 172 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (sin.f64 x) x) |
(sin.f64 x) |
x |
| Outputs |
|---|
(-.f64 (sin.f64 x) x) |
(sin.f64 x) |
x |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sin.f64 x) | |
| accuracy | 20.143983579653142 | (-.f64 (sin.f64 x) x) |
| 16.0ms | 227× | 1 | valid |
| 4.0ms | 13× | 2 | valid |
| 1.0ms | 16× | 0 | valid |
Compiled 9 to 5 computations (44.4% saved)
ival-sin: 8.0ms (56.3% of total)adjust: 4.0ms (28.1% of total)ival-sub: 2.0ms (14.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ()) |
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1/6 (pow x 2)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ (sin x) x) 1)) (taylor inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ (sin x) x) 1)) (taylor inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ (sin x) x) 1)) (taylor inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | ((- (sin x) x) (sin x)) |
| 0.0ms | x | @ | inf | ((- (sin x) x) (sin x)) |
| 0.0ms | x | @ | -inf | ((- (sin x) x) (sin x)) |
| 1× | egg-herbie |
| 12 140× | lower-fma.f64 |
| 12 140× | lower-fma.f32 |
| 3 244× | lower-*.f64 |
| 3 244× | lower-*.f32 |
| 2 514× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 170 |
| 1 | 121 | 164 |
| 2 | 313 | 164 |
| 3 | 939 | 152 |
| 4 | 2033 | 140 |
| 5 | 3880 | 140 |
| 0 | 8027 | 128 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
| Outputs |
|---|
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
| 4 646× | lower-/.f64 |
| 4 646× | lower-/.f32 |
| 4 252× | lower-fma.f64 |
| 4 252× | lower-fma.f32 |
| 3 550× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 6 |
| 0 | 5 | 6 |
| 1 | 20 | 6 |
| 2 | 148 | 6 |
| 3 | 1494 | 6 |
| 0 | 8322 | 6 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (sin.f64 x) x) |
(sin.f64 x) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 x) x) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 x) x) (-.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (sin.f64 x) x) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (+.f64 (sin.f64 x) x) x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 (sin.f64 x) x) x) (-.f64 (*.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (+.f64 (sin.f64 x) x) #s(literal -1 binary64)) (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 #s(literal 1 binary64) (-.f64 (sin.f64 x) x)) |
(*.f64 (neg.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (+.f64 (sin.f64 x) x)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (sin.f64 x) x) (/.f64 (-.f64 (sin.f64 x) x) (+.f64 (sin.f64 x) x))) |
(*.f64 (+.f64 (sin.f64 x) x) (*.f64 (-.f64 (sin.f64 x) x) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (-.f64 (sin.f64 x) x) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (-.f64 (sin.f64 x) x) (pow.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (-.f64 (sin.f64 x) x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 x) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 x) #s(literal 0 binary64)) (+.f64 (sin.f64 x) #s(literal 0 binary64)) (fma.f64 x x (*.f64 (+.f64 (sin.f64 x) #s(literal 0 binary64)) x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x)))))) |
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal 3 binary64))) (pow.f64 (neg.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x)))) (neg.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)) (neg.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x)))))))) |
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(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (sin.f64 x) x)) (-.f64 (sin.f64 x) x))) |
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (sin.f64 x) x))) |
(neg.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (+.f64 (sin.f64 x) x)))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) |
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (sin.f64 x) x) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (+.f64 (sin.f64 x) x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) |
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 (sin.f64 x) x) x) (-.f64 (*.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) |
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))))) |
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (sin.f64 x) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))))) |
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3/2 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) |
(fma.f64 #s(literal -1 binary64) x (sin.f64 x)) |
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 x) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) |
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))))) |
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) |
(fma.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) |
(fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (sin.f64 x) x)) (neg.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))))) |
(fma.f64 x #s(literal -1 binary64) (sin.f64 x)) |
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)) #s(literal 2 binary64)) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (sin.f64 x) x)) (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))))) (/.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))) #s(literal 2 binary64)) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (sin.f64 x) x)) (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x)))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 (neg.f64 x) (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (neg.f64 x) (sin.f64 x)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)) (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))))))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)) (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x)))))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (*.f64 x x)) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (*.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 9 binary64)) (*.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64))))) (/.f64 (pow.f64 x #s(literal 9 binary64)) (*.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (+.f64 (sin.f64 x) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (+.f64 (sin.f64 x) x))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) (+.f64 (sin.f64 x) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) (+.f64 (sin.f64 x) x))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (sin.f64 x))))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (sin.f64 x)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 x x (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (sin.f64 x))))) (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 x x (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (sin.f64 x)))))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (sin.f64 x))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (sin.f64 x)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (sin.f64 x) x))) (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (+.f64 (sin.f64 x) x)))) |
(-.f64 (+.f64 (sin.f64 x) #s(literal 0 binary64)) x) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 x) x)) (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (sin.f64 x) x))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 x) x)) (/.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) (+.f64 (sin.f64 x) x))) |
(-.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)) (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x)))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) |
(-.f64 (sin.f64 x) x) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (sin.f64 x) x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)) (neg.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) |
(+.f64 (neg.f64 x) (sin.f64 x)) |
(+.f64 (sin.f64 x) (neg.f64 x)) |
(pow.f64 (sin.f64 x) #s(literal 1 binary64)) |
(sin.f64 x) |
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (sin.f64 x))) |
Compiled 6 095 to 589 computations (90.3% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 193 | 4 | 197 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 193 | 5 | 198 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 68.5% | (-.f64 (sin.f64 x) x) |
| ▶ | 99.1% | #s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
| ▶ | 98.9% | #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
| ▶ | 98.2% | #s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
| ▶ | 6.4% | #s(approx (- (sin x) x) (neg.f64 x)) |
Compiled 40 to 32 computations (20% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) | |
| cost-diff | 0 | (pow.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (neg.f64 x)) |
| 5 480× | lower-fma.f32 |
| 5 474× | lower-fma.f64 |
| 2 152× | lower-*.f32 |
| 2 144× | lower-*.f64 |
| 1 964× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 135 |
| 0 | 32 | 135 |
| 1 | 54 | 135 |
| 2 | 110 | 135 |
| 3 | 253 | 135 |
| 4 | 528 | 135 |
| 5 | 738 | 135 |
| 6 | 906 | 135 |
| 7 | 1125 | 135 |
| 8 | 1173 | 135 |
| 9 | 1333 | 135 |
| 10 | 3241 | 135 |
| 11 | 4146 | 135 |
| 12 | 4260 | 135 |
| 13 | 4282 | 135 |
| 14 | 4310 | 135 |
| 15 | 4310 | 135 |
| 16 | 4310 | 135 |
| 17 | 5370 | 135 |
| 18 | 5862 | 135 |
| 19 | 5862 | 135 |
| 20 | 5862 | 135 |
| 21 | 5862 | 135 |
| 22 | 5866 | 135 |
| 0 | 5866 | 135 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (sin x) x) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal -1/6 binary64) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
(*.f64 x x) |
x |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
| Outputs |
|---|
#s(approx (- (sin x) x) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
#s(approx (- (sin x) x) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal -1/6 binary64) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
(*.f64 x x) |
x |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.015625 | (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) | |
| accuracy | 0.13671875 | (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 0.4450361778544229 | #s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.015625 | (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) | |
| accuracy | 0.140625 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 0.5822108824970945 | #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) | |
| accuracy | 0 | (pow.f64 x #s(literal 3 binary64)) | |
| accuracy | 0.1484375 | (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) | |
| accuracy | 1.05910645392057 | #s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 59.8840051004264 | #s(approx (- (sin x) x) (neg.f64 x)) |
| 73.0ms | 227× | 1 | valid |
| 6.0ms | 13× | 2 | valid |
| 3.0ms | 16× | 0 | valid |
Compiled 108 to 21 computations (80.6% saved)
ival-mult: 17.0ms (27.5% of total)const: 15.0ms (24.2% of total)adjust: 9.0ms (14.5% of total)ival-sin: 7.0ms (11.3% of total)ival-add: 6.0ms (9.7% of total)ival-pow: 5.0ms (8.1% of total)ival-sub: 3.0ms (4.8% of total)ival-neg: 1.0ms (1.6% 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 (- (sin x) x) (neg.f64 x)) (patch #s(approx (- (sin x) x) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) (patch #s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (patch (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (neg.f64 x)) (patch #s(approx (- (sin x) x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (neg.f64 x)) (patch #s(approx (- (sin x) x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (neg.f64 x)) (patch #s(approx (- (sin x) x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (neg.f64 x)) (patch #s(approx (- (sin x) x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) (patch #s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) (patch #s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) (patch #s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) (patch #s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (patch (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (patch (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (patch (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (patch (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -1/6 (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1/5040 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/5040 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((- (sin x) x) (neg x) (- (sin x) x) (* (pow x 3) -1/6) (pow x 3) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (* x x) (- (sin x) x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120)) |
| 2.0ms | x | @ | inf | ((- (sin x) x) (neg x) (- (sin x) x) (* (pow x 3) -1/6) (pow x 3) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (* x x) (- (sin x) x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120)) |
| 2.0ms | x | @ | 0 | ((- (sin x) x) (neg x) (- (sin x) x) (* (pow x 3) -1/6) (pow x 3) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (* x x) (- (sin x) x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120)) |
| 1× | egg-herbie |
| 15 754× | lower-fma.f64 |
| 15 754× | lower-fma.f32 |
| 3 762× | lower-*.f64 |
| 3 762× | lower-*.f32 |
| 2 802× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 1118 |
| 1 | 174 | 1118 |
| 2 | 504 | 1118 |
| 3 | 1594 | 1070 |
| 4 | 3890 | 1022 |
| 5 | 6159 | 1022 |
| 0 | 8378 | 957 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
-1/6 |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* 1/120 (pow x 2)) 1/6) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
-1/6 |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
1/120 |
(+ 1/120 (* -1/5040 (pow x 2))) |
(+ 1/120 (* -1/5040 (pow x 2))) |
(+ 1/120 (* -1/5040 (pow x 2))) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* -1/5040 (pow x 7)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 4)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* 1/120 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1/5040 (pow x 7)) |
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(* -1/5040 (pow x 4)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
| Outputs |
|---|
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/120 (pow x 2)) 1/6) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(- (* 1/120 (pow x 2)) 1/6) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(- (* 1/120 (pow x 2)) 1/6) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 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) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/120 (pow x 2)) 1/6) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* -1/5040 (pow x 2))) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
(+ 1/120 (* -1/5040 (pow x 2))) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
(+ 1/120 (* -1/5040 (pow x 2))) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* 1/120 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 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) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* -1/5040 (pow x 7)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64))) |
(* -1/5040 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
(* -1/5040 (pow x 2)) |
(*.f64 #s(literal -1/5040 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* 1/120 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 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) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -1/5040 (pow x 7)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64)) |
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64))) |
(* -1/5040 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
(* -1/5040 (pow x 2)) |
(*.f64 #s(literal -1/5040 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
| 7 466× | lower-fma.f32 |
| 7 460× | lower-fma.f64 |
| 5 232× | lower-*.f32 |
| 5 224× | lower-*.f64 |
| 3 060× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 113 |
| 0 | 32 | 113 |
| 1 | 111 | 113 |
| 2 | 717 | 113 |
| 3 | 7448 | 113 |
| 0 | 8398 | 113 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (sin x) x) (neg.f64 x)) |
(neg.f64 x) |
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(*.f64 x x) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
| Outputs |
|---|
#s(approx (- (sin x) x) (neg.f64 x)) |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 0 binary64) (neg.f64 x))) |
(/.f64 (*.f64 (neg.f64 x) x) x) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(/.f64 (*.f64 x x) (neg.f64 x)) |
(neg.f64 x) |
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64)) |
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
(+.f64 (neg.f64 x) #s(literal 0 binary64)) |
#s(approx (- (sin x) x) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 x x) x) |
(*.f64 x (*.f64 x x)) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(exp.f64 (fma.f64 #s(literal 3/2 binary64) (log.f64 x) (*.f64 #s(literal 3/2 binary64) (log.f64 x)))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/36 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/2985984000000 binary64) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/36 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/36 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/36 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64))) (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/36 binary64)))) |
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(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64))) |
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(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64))) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/604800 binary64) #s(literal 1/14400 binary64))))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)))) |
(neg.f64 (/.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/604800 binary64) #s(literal 1/14400 binary64)))))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/1728000 binary64))) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/604800 binary64) (*.f64 x x) #s(literal 1/14400 binary64))) (neg.f64 (/.f64 #s(literal -1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/14400 binary64))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (neg.f64 (/.f64 #s(literal -1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 x x)) x) (/.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64))) (neg.f64 (/.f64 #s(literal -1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) (/.f64 #s(literal -1/5040 binary64) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64))) (neg.f64 (/.f64 #s(literal -1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 x x)) (/.f64 (*.f64 x x) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64))) (neg.f64 (/.f64 #s(literal -1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))))) |
(fma.f64 #s(literal 1/25401600 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64))) (neg.f64 (/.f64 #s(literal -1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/25401600 binary64) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64))) (neg.f64 (/.f64 #s(literal -1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))))) |
(fma.f64 (*.f64 #s(literal -1/5040 binary64) x) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64))) (neg.f64 (/.f64 #s(literal -1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))))) |
(fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))))) |
(fma.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64))) (neg.f64 (/.f64 #s(literal -1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))))) |
(fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64))) (neg.f64 (/.f64 #s(literal -1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))))) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64))) (neg.f64 (/.f64 #s(literal -1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))))) |
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(fma.f64 x (*.f64 #s(literal -1/5040 binary64) x) #s(literal 1/120 binary64)) |
(-.f64 (/.f64 #s(literal 1/14400 binary64) (-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))) |
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/25401600 binary64) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64)))) (/.f64 #s(literal -1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/25401600 binary64) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64)))) (neg.f64 (/.f64 #s(literal -1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))))) |
(+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)) #s(literal 1/120 binary64)) |
(+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) |
Compiled 16 939 to 2 271 computations (86.6% saved)
15 alts after pruning (12 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 760 | 12 | 772 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 1 | 1 |
| Total | 762 | 15 | 777 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 68.5% | (-.f64 (sin.f64 x) x) |
| ▶ | 99.1% | #s(approx (- (sin x) x) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)))) |
| 98.9% | #s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) | |
| 98.1% | #s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64))) | |
| ✓ | 98.2% | #s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
| 99.0% | #s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))) | |
| 98.0% | #s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))))) | |
| 99.1% | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) | |
| ▶ | 98.9% | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
| 98.9% | #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x) x)) | |
| ▶ | 98.1% | #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) |
| 98.2% | #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) | |
| ▶ | 98.1% | #s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x))) |
| ✓ | 6.4% | #s(approx (- (sin x) x) (neg.f64 x)) |
| ▶ | 39.2% | #s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) |
Compiled 335 to 240 computations (28.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) | |
| cost-diff | 0 | (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) | |
| cost-diff | 0 | #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))) | |
| cost-diff | 0 | #s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) | |
| cost-diff | -5824 | (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) | |
| cost-diff | -5824 | (*.f64 (*.f64 x x) x) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) | |
| cost-diff | -5824 | (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(literal -1/6 binary64) x) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x))) | |
| cost-diff | 0 | (*.f64 #s(literal -1/6 binary64) x) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)))) | |
| cost-diff | 320 | (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)) |
| 7 536× | lower-fma.f32 |
| 7 530× | lower-fma.f64 |
| 2 906× | lower-*.f32 |
| 2 886× | lower-*.f64 |
| 1 160× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 272 |
| 0 | 57 | 253 |
| 1 | 97 | 253 |
| 2 | 173 | 247 |
| 3 | 353 | 247 |
| 4 | 690 | 247 |
| 5 | 1426 | 245 |
| 6 | 2912 | 245 |
| 7 | 4553 | 245 |
| 8 | 5957 | 245 |
| 0 | 8134 | 243 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (sin x) x) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x))) |
(*.f64 x x) |
x |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 x x) |
x |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
x |
#s(literal -1/6 binary64) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 x x) |
x |
#s(literal -1/6 binary64) |
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) |
#s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
#s(literal 1/120 binary64) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
#s(literal 1/6 binary64) |
(*.f64 x x) |
x |
(pow.f64 x #s(literal 5 binary64)) |
#s(literal 5 binary64) |
| Outputs |
|---|
#s(approx (- (sin x) x) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)))) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x (/.f64 #s(literal -1/6 binary64) x)) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x (/.f64 #s(literal -1/6 binary64) x)) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 x x) |
x |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x))) |
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(*.f64 x x) |
x |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) |
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 x x) x) |
(pow.f64 x #s(literal 3 binary64)) |
(*.f64 x x) |
x |
#s(literal -1/6 binary64) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(fma.f64 #s(literal -1/6 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 x x) |
x |
#s(literal -1/6 binary64) |
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) |
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))))) |
#s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))) |
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
#s(literal 1/120 binary64) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
#s(literal 1/6 binary64) |
(*.f64 x x) |
x |
(pow.f64 x #s(literal 5 binary64)) |
#s(literal 5 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) | |
| accuracy | 0.2265625 | (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) | |
| accuracy | 0.5822108824970945 | #s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) | |
| accuracy | 37.88186963693572 | (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) | |
| accuracy | 0.015625 | (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) | |
| accuracy | 0.13671875 | (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) | |
| accuracy | 0.33203125 | (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) | |
| accuracy | 0.5822108824970945 | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.0859375 | (*.f64 (*.f64 x x) x) | |
| accuracy | 0.1484375 | (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)) | |
| accuracy | 1.05910645392057 | #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.15625 | (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x)) | |
| accuracy | 0.328125 | (*.f64 #s(literal -1/6 binary64) x) | |
| accuracy | 1.05910645392057 | #s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x))) | |
| accuracy | 0.1015625 | (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) | |
| accuracy | 0.13671875 | (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x))) | |
| accuracy | 0.328125 | (*.f64 #s(literal -1/6 binary64) x) | |
| accuracy | 0.4450361778544229 | #s(approx (- (sin x) x) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)))) |
| 117.0ms | 227× | 1 | valid |
| 9.0ms | 13× | 2 | valid |
| 6.0ms | 16× | 0 | valid |
Compiled 197 to 35 computations (82.2% saved)
ival-mult: 34.0ms (32.6% of total)const: 24.0ms (23% of total)adjust: 15.0ms (14.4% of total)ival-add: 8.0ms (7.7% of total)ival-pow: 8.0ms (7.7% of total)ival-sin: 7.0ms (6.7% of total)ival-sub: 5.0ms (4.8% of total)ival-div: 3.0ms (2.9% 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 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)) (patch (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (sin x) x) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)))) (patch #s(approx (- (sin x) x) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/6 binary64) x) (patch (*.f64 #s(literal -1/6 binary64) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x))) (patch #s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x)) (patch (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) (patch #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) (patch #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) (patch (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) (patch #s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))) (patch #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (patch (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x))) (patch (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) (patch (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/120 (pow x 5)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)) (patch (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 5) (+ 1/120 (* -1/5040 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)) (patch (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 5) (+ 1/120 (* -1/5040 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)) (patch (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 5) (+ 1/120 (* -1/5040 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)) (patch (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)))) (patch #s(approx (- (sin x) x) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)))) (patch #s(approx (- (sin x) x) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)))) (patch #s(approx (- (sin x) x) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)))) (patch #s(approx (- (sin x) x) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) 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 (* -1/6 x) (taylor 0 x) (#s(alt (*.f64 #s(literal -1/6 binary64) x) (patch (*.f64 #s(literal -1/6 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 x) (taylor 0 x) (#s(alt (*.f64 #s(literal -1/6 binary64) x) (patch (*.f64 #s(literal -1/6 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 x) (taylor 0 x) (#s(alt (*.f64 #s(literal -1/6 binary64) x) (patch (*.f64 #s(literal -1/6 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 x) (taylor 0 x) (#s(alt (*.f64 #s(literal -1/6 binary64) x) (patch (*.f64 #s(literal -1/6 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x))) (patch #s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x))) (patch #s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x))) (patch #s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x))) (patch #s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x)) (patch (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x)) (patch (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x)) (patch (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x)) (patch (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) (patch #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) (patch #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) (patch #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) (patch #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) (patch (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) (patch (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) (patch (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) (patch #s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt #s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) (patch #s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt #s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) (patch #s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt #s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) (patch #s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 (pow x 5)) (taylor -inf x) (#s(alt #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))) (patch #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))) (patch #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))) (patch #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))) (patch #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt 1/120 (taylor -inf x) (#s(alt (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (patch (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (- 1/120 (* 1/6 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (patch (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (- 1/120 (* 1/6 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (patch (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (- 1/120 (* 1/6 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (patch (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/5040 (pow x 7)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x))) (patch (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x))) (patch (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x))) (patch (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x))) (patch (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/5040 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 (pow x 5)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) (patch (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) (patch (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) (patch (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) (patch (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | x | @ | inf | ((* (pow x 4) (* (+ (* -1/5040 (* x x)) 1/120) x)) (- (sin x) x) (* x x) (* -1/6 x) (- (sin x) x) (* (* x x) (* -1/6 x)) (- (sin x) x) (* (* (* x x) x) -1/6) (* (* x x) x) (- (sin x) x) (+ (* 1/120 (* x x)) -1/6) (* (* (+ (* 1/120 (* x x)) -1/6) x) (* x x)) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (- 1/120 (/ 1/6 (* x x))) (/ 1/6 (* x x)) (+ (* (* x x) (* -1/6 x)) (* (pow x 4) (* (+ (* -1/5040 (* x x)) 1/120) x))) (* (+ (* -1/5040 (* x x)) 1/120) x) (* (+ (* 1/120 (* x x)) -1/6) x) (* (- 1/120 (/ 1/6 (* x x))) (pow x 5))) |
| 3.0ms | x | @ | -inf | ((* (pow x 4) (* (+ (* -1/5040 (* x x)) 1/120) x)) (- (sin x) x) (* x x) (* -1/6 x) (- (sin x) x) (* (* x x) (* -1/6 x)) (- (sin x) x) (* (* (* x x) x) -1/6) (* (* x x) x) (- (sin x) x) (+ (* 1/120 (* x x)) -1/6) (* (* (+ (* 1/120 (* x x)) -1/6) x) (* x x)) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (- 1/120 (/ 1/6 (* x x))) (/ 1/6 (* x x)) (+ (* (* x x) (* -1/6 x)) (* (pow x 4) (* (+ (* -1/5040 (* x x)) 1/120) x))) (* (+ (* -1/5040 (* x x)) 1/120) x) (* (+ (* 1/120 (* x x)) -1/6) x) (* (- 1/120 (/ 1/6 (* x x))) (pow x 5))) |
| 2.0ms | x | @ | 0 | ((* (pow x 4) (* (+ (* -1/5040 (* x x)) 1/120) x)) (- (sin x) x) (* x x) (* -1/6 x) (- (sin x) x) (* (* x x) (* -1/6 x)) (- (sin x) x) (* (* (* x x) x) -1/6) (* (* x x) x) (- (sin x) x) (+ (* 1/120 (* x x)) -1/6) (* (* (+ (* 1/120 (* x x)) -1/6) x) (* x x)) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (- 1/120 (/ 1/6 (* x x))) (/ 1/6 (* x x)) (+ (* (* x x) (* -1/6 x)) (* (pow x 4) (* (+ (* -1/5040 (* x x)) 1/120) x))) (* (+ (* -1/5040 (* x x)) 1/120) x) (* (+ (* 1/120 (* x x)) -1/6) x) (* (- 1/120 (/ 1/6 (* x x))) (pow x 5))) |
| 1× | egg-herbie |
| 11 276× | lower-fma.f64 |
| 11 276× | lower-fma.f32 |
| 4 160× | lower-*.f64 |
| 4 160× | lower-*.f32 |
| 1 346× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 1802 |
| 1 | 212 | 1802 |
| 2 | 634 | 1766 |
| 3 | 2114 | 1706 |
| 4 | 5971 | 1646 |
| 0 | 8197 | 1572 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/120 (pow x 5)) |
(* (pow x 5) (+ 1/120 (* -1/5040 (pow x 2)))) |
(* (pow x 5) (+ 1/120 (* -1/5040 (pow x 2)))) |
(* (pow x 5) (+ 1/120 (* -1/5040 (pow x 2)))) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
-1/6 |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* 1/120 (pow x 2)) 1/6) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(/ -1/6 (pow x 2)) |
(/ (- (* 1/120 (pow x 2)) 1/6) (pow x 2)) |
(/ (- (* 1/120 (pow x 2)) 1/6) (pow x 2)) |
(/ (- (* 1/120 (pow x 2)) 1/6) (pow x 2)) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* 1/120 x) |
(* x (+ 1/120 (* -1/5040 (pow x 2)))) |
(* x (+ 1/120 (* -1/5040 (pow x 2)))) |
(* x (+ 1/120 (* -1/5040 (pow x 2)))) |
(* -1/6 x) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* -1/5040 (pow x 7)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
1/120 |
(- 1/120 (* 1/6 (/ 1 (pow x 2)))) |
(- 1/120 (* 1/6 (/ 1 (pow x 2)))) |
(- 1/120 (* 1/6 (/ 1 (pow x 2)))) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
(* -1/5040 (pow x 7)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* 1/120 (pow x 3)) |
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* -1/5040 (pow x 7)) |
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* 1/120 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
1/120 |
(- 1/120 (* 1/6 (/ 1 (pow x 2)))) |
(- 1/120 (* 1/6 (/ 1 (pow x 2)))) |
(- 1/120 (* 1/6 (/ 1 (pow x 2)))) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
(* -1/5040 (pow x 7)) |
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(* -1/5040 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* 1/120 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* 1/120 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
| Outputs |
|---|
(* 1/120 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 5) (+ 1/120 (* -1/5040 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 1/120 (* -1/5040 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 1/120 (* -1/5040 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 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) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/120 (pow x 2)) 1/6) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(- (* 1/120 (pow x 2)) 1/6) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(- (* 1/120 (pow x 2)) 1/6) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ -1/6 (pow x 2)) |
(/.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(/ (- (* 1/120 (pow x 2)) 1/6) (pow x 2)) |
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(/ (- (* 1/120 (pow x 2)) 1/6) (pow x 2)) |
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(/ (- (* 1/120 (pow x 2)) 1/6) (pow x 2)) |
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(/ 1/6 (pow x 2)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(/ 1/6 (pow x 2)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(/ 1/6 (pow x 2)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(/ 1/6 (pow x 2)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* x (+ 1/120 (* -1/5040 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) |
(* x (+ 1/120 (* -1/5040 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) |
(* x (+ 1/120 (* -1/5040 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1/5040 (pow x 7)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(* 1/120 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* 1/120 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
1/120 |
#s(literal 1/120 binary64) |
(- 1/120 (* 1/6 (/ 1 (pow x 2)))) |
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(- 1/120 (* 1/6 (/ 1 (pow x 2)))) |
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(- 1/120 (* 1/6 (/ 1 (pow x 2)))) |
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(/ 1/6 (pow x 2)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(/ 1/6 (pow x 2)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(/ 1/6 (pow x 2)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(/ 1/6 (pow x 2)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* -1/5040 (pow x 7)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 7 binary64))) |
(* -1/5040 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) |
(* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) |
(* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) |
(* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) |
(* 1/120 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) |
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) |
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) |
(* 1/120 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1/5040 (pow x 7)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64)) |
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(* 1/120 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* 1/120 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
1/120 |
#s(literal 1/120 binary64) |
(- 1/120 (* 1/6 (/ 1 (pow x 2)))) |
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(- 1/120 (* 1/6 (/ 1 (pow x 2)))) |
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(- 1/120 (* 1/6 (/ 1 (pow x 2)))) |
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(/ 1/6 (pow x 2)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(/ 1/6 (pow x 2)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(/ 1/6 (pow x 2)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(/ 1/6 (pow x 2)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* -1/5040 (pow x 7)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64)) |
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 7 binary64))) |
(* -1/5040 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) |
(* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) |
(* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) |
(* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) |
(* 1/120 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) |
(* 1/120 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
| 8 578× | lower-fma.f32 |
| 8 572× | lower-fma.f64 |
| 4 724× | lower-*.f32 |
| 4 704× | lower-*.f64 |
| 3 574× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 229 |
| 0 | 57 | 211 |
| 1 | 197 | 211 |
| 2 | 1170 | 205 |
| 0 | 8330 | 199 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)) |
#s(approx (- (sin x) x) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)))) |
(*.f64 x x) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 x x) x) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) |
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) |
#s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))) |
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x))) |
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64))) x) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x)) |
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) x) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64))) x (*.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) x)) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) x (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64))) x)) |
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) x (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64)) x)) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64)) x (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) x)) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) x) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) x) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) x) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))) |
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))) |
(fma.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 5 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/120 binary64) x))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/120 binary64) x))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/120 binary64) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) x))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/120 binary64) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) |
(fma.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 x (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(fma.f64 x (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(fma.f64 x (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) (*.f64 x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64)))) |
(fma.f64 x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) x) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (pow.f64 x #s(literal 4 binary64)))) |
(+.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (pow.f64 x #s(literal 4 binary64)))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) x) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) x) (pow.f64 x #s(literal 4 binary64)))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) x) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64))) x) (*.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) x)) |
(+.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64))) x)) |
(+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) x) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64)) x)) |
(+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64)) x) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) x)) |
(+.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/120 binary64) x))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/120 binary64) x))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) x))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) |
(+.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(+.f64 (*.f64 x (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(+.f64 (*.f64 x (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))) (*.f64 x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64)))) |
(+.f64 (*.f64 x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64))) (*.f64 x (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) |
(+.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 5 binary64)))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))) |
#s(approx (- (sin x) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) |
(*.f64 (neg.f64 (neg.f64 x)) x) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x (neg.f64 (neg.f64 x))) |
(*.f64 x x) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) |
(/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) |
(/.f64 (*.f64 x x) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 #s(literal -1/6 binary64) x) |
(*.f64 x #s(literal -1/6 binary64)) |
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 x x)) |
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 x (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) |
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 x x)) |
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 x (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 x x) x) |
(*.f64 x (*.f64 x x)) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3/2 binary64) (*.f64 (log.f64 x) #s(literal 3/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))) |
(*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) (pow.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) |
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(/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) (*.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64))))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) |
(fma.f64 #s(literal -1/6 binary64) x (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x)) |
(fma.f64 #s(literal -1/6 binary64) x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(fma.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) (*.f64 #s(literal -1/6 binary64) x)) |
(fma.f64 x #s(literal -1/6 binary64) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x)) |
(fma.f64 x #s(literal -1/6 binary64) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x) (*.f64 #s(literal -1/6 binary64) x)) |
(+.f64 (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 #s(literal -1/6 binary64) x)) |
(+.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x)) |
(+.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal 1/120 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/1728000 binary64) (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/216 binary64))) (pow.f64 x #s(literal 5 binary64))) (pow.f64 (+.f64 (fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/14400 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal 1/120 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/1728000 binary64) (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/216 binary64)))) (pow.f64 (+.f64 (fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/14400 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/6 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 5/2 binary64))) (pow.f64 x #s(literal 5/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (*.f64 (pow.f64 x #s(literal 5/2 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/6 binary64) #s(literal 1/120 binary64)))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/6 binary64) #s(literal 1/120 binary64))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/6 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 5 binary64))))) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/6 binary64))) (*.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/6 binary64))))) (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/6 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 5 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)) (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/6 binary64))) (*.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/6 binary64)))) (*.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/6 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/6 binary64) #s(literal -1/120 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/1728000 binary64) (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/216 binary64))) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (+.f64 (fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/14400 binary64)))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/6 binary64) #s(literal -1/120 binary64))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/1728000 binary64) (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/216 binary64))))) (neg.f64 (+.f64 (fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/14400 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal 1/120 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/1728000 binary64) (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/216 binary64))) (pow.f64 x #s(literal 5 binary64))) (+.f64 (fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/14400 binary64))) |
(/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal 1/120 binary64))) |
(/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/1728000 binary64) (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/216 binary64)))) (+.f64 (fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/14400 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal 1/120 binary64)) (*.f64 (-.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/14400 binary64)) (*.f64 (-.f64 #s(literal 1/1728000 binary64) (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/216 binary64))) (pow.f64 x #s(literal 5 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal 1/120 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/14400 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/1728000 binary64) (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/216 binary64)))))) |
(/.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/6 binary64) #s(literal 1/120 binary64)))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/6 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))) |
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/6 binary64)))) |
(fma.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 5 binary64)))) |
(+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(+.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 5 binary64)))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/6 binary64))) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/6 binary64)))) |
Compiled 18 519 to 2 424 computations (86.9% saved)
19 alts after pruning (15 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 907 | 11 | 918 |
| Fresh | 3 | 4 | 7 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 2 | 3 |
| Total | 914 | 19 | 933 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 68.5% | (-.f64 (sin.f64 x) x) |
| 98.9% | #s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) | |
| ▶ | 98.9% | #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) |
| 98.1% | #s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64))) | |
| 98.8% | #s(approx (- (sin x) x) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x) (*.f64 #s(literal -1/6 binary64) x))) (*.f64 x x))) | |
| 98.9% | #s(approx (- (sin x) x) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 x x))) | |
| ▶ | 98.9% | #s(approx (- (sin x) x) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x))) |
| ▶ | 98.1% | #s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 #s(literal -1/6 binary64) x))) |
| 99.1% | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) | |
| 98.9% | #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)) | |
| ✓ | 98.1% | #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) |
| 98.2% | #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) | |
| ▶ | 98.2% | #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x)) |
| 99.1% | #s(approx (- (sin x) x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))) | |
| ✓ | 98.1% | #s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x))) |
| ▶ | 99.1% | #s(approx (- (sin x) x) (*.f64 x (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64)))))) |
| ✓ | 6.4% | #s(approx (- (sin x) x) (neg.f64 x)) |
| 39.1% | #s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64))))) | |
| 38.5% | #s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 #s(approx (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) |
Compiled 495 to 332 computations (32.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 x #s(literal -2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 #s(literal -1/6 binary64) x))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 #s(literal -1/6 binary64) x)) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x))) | |
| cost-diff | 1088 | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) | |
| cost-diff | 320 | (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) | |
| cost-diff | -5824 | (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x) | |
| cost-diff | 0 | (*.f64 #s(literal -1/6 binary64) x) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal -1/6 binary64) x) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (*.f64 x (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64)))))) | |
| cost-diff | 6144 | (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
| 5 656× | lower-fma.f32 |
| 5 648× | lower-fma.f64 |
| 2 328× | lower-*.f32 |
| 2 310× | lower-*.f64 |
| 1 398× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 272 |
| 0 | 54 | 260 |
| 1 | 99 | 244 |
| 2 | 177 | 242 |
| 3 | 347 | 242 |
| 4 | 647 | 242 |
| 5 | 789 | 242 |
| 6 | 932 | 242 |
| 7 | 1193 | 242 |
| 8 | 1478 | 242 |
| 9 | 1705 | 242 |
| 10 | 3556 | 242 |
| 11 | 4781 | 242 |
| 12 | 5130 | 242 |
| 13 | 5325 | 242 |
| 14 | 5517 | 242 |
| 15 | 5814 | 242 |
| 16 | 6154 | 242 |
| 17 | 6169 | 242 |
| 18 | 6169 | 242 |
| 19 | 6169 | 242 |
| 20 | 6169 | 242 |
| 21 | 6707 | 242 |
| 22 | 6941 | 242 |
| 23 | 6941 | 242 |
| 24 | 6941 | 242 |
| 25 | 6941 | 242 |
| 26 | 6941 | 242 |
| 27 | 6941 | 242 |
| 28 | 6941 | 242 |
| 29 | 6947 | 242 |
| 0 | 6947 | 240 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (sin x) x) (*.f64 x (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64)))))) |
(*.f64 x (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
x |
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(*.f64 x x) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x)) |
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) x) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
x |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
#s(literal 1/120 binary64) |
(*.f64 x x) |
x |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
#s(approx (- (sin x) x) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x))) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x)) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 x x) |
#s(literal -1/6 binary64) |
#s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 #s(literal -1/6 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 #s(literal -1/6 binary64) x)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 x #s(literal -2 binary64)) |
x |
#s(literal -2 binary64) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
| Outputs |
|---|
#s(approx (- (sin x) x) (*.f64 x (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64)))))) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 x (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
x |
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) (*.f64 x x)) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
(*.f64 x x) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x)) |
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) x) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
x |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) |
#s(approx (- (sin x) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
#s(literal 1/120 binary64) |
(*.f64 x x) |
x |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
#s(approx (- (sin x) x) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x))) |
#s(approx (- (sin x) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 x x) |
#s(literal -1/6 binary64) |
#s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 #s(literal -1/6 binary64) x))) |
#s(approx (- (sin x) x) (*.f64 (/.f64 x (pow.f64 x #s(literal -2 binary64))) #s(literal -1/6 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 (/.f64 x (pow.f64 x #s(literal -2 binary64))) #s(literal -1/6 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 x #s(literal -2 binary64)) |
x |
#s(literal -2 binary64) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.15625 | (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 #s(literal -1/6 binary64) x)) | |
| accuracy | 0.328125 | (*.f64 #s(literal -1/6 binary64) x) | |
| accuracy | 0.8796087572659882 | (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) | |
| accuracy | 1.05910645392057 | #s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 #s(literal -1/6 binary64) x))) | |
| accuracy | 0.015625 | (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) | |
| accuracy | 0.0234375 | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) | |
| accuracy | 0.13671875 | (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x)) | |
| accuracy | 0.5822108824970945 | #s(approx (- (sin x) x) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x))) | |
| accuracy | 0.1328125 | (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) | |
| accuracy | 0.13671875 | (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)) | |
| accuracy | 0.328125 | (*.f64 #s(literal -1/6 binary64) x) | |
| accuracy | 0.5822108824970945 | #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) | |
| accuracy | 0.078125 | (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x) | |
| accuracy | 0.125 | (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) | |
| accuracy | 0.328125 | (*.f64 #s(literal -1/6 binary64) x) | |
| accuracy | 1.05910645392057 | #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x)) | |
| accuracy | 0.109375 | (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 0.1328125 | (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64)))) | |
| accuracy | 0.328125 | (*.f64 #s(literal -1/6 binary64) x) | |
| accuracy | 0.4450361778544229 | #s(approx (- (sin x) x) (*.f64 x (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64)))))) |
| 110.0ms | 227× | 1 | valid |
| 10.0ms | 13× | 2 | valid |
| 4.0ms | 16× | 0 | valid |
Compiled 220 to 32 computations (85.5% saved)
ival-mult: 35.0ms (37.1% of total)const: 15.0ms (15.9% of total)adjust: 12.0ms (12.7% of total)ival-div: 8.0ms (8.5% of total)ival-add: 8.0ms (8.5% of total)ival-sin: 7.0ms (7.4% of total)ival-pow: 6.0ms (6.4% of total)ival-sub: 3.0ms (3.2% 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 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64)))) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (sin x) x) (*.f64 x (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (patch #s(approx (- (sin x) x) (*.f64 x (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/6 binary64) x) (patch (*.f64 #s(literal -1/6 binary64) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64))) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x)) (patch #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) (patch (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x) (patch (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) (patch (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) (patch #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (sin x) x) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x))) (patch #s(approx (- (sin x) x) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 #s(literal -1/6 binary64) x)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 #s(literal -1/6 binary64) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 #s(literal -1/6 binary64) x))) (patch #s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 #s(literal -1/6 binary64) x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal -2 binary64)) (patch (pow.f64 x #s(literal -2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x)) (patch (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1/6 (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64)))) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64)))) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64)))) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64)))) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 x (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (patch #s(approx (- (sin x) x) (*.f64 x (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 x (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (patch #s(approx (- (sin x) x) (*.f64 x (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 x (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (patch #s(approx (- (sin x) x) (*.f64 x (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 x (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (patch #s(approx (- (sin x) x) (*.f64 x (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 x) (taylor 0 x) (#s(alt (*.f64 #s(literal -1/6 binary64) x) (patch (*.f64 #s(literal -1/6 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 x) (taylor 0 x) (#s(alt (*.f64 #s(literal -1/6 binary64) x) (patch (*.f64 #s(literal -1/6 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 x) (taylor 0 x) (#s(alt (*.f64 #s(literal -1/6 binary64) x) (patch (*.f64 #s(literal -1/6 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 x) (taylor 0 x) (#s(alt (*.f64 #s(literal -1/6 binary64) x) (patch (*.f64 #s(literal -1/6 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 (pow x 4)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64))) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/120 (* -1/5040 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64))) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/120 (* -1/5040 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64))) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/120 (* -1/5040 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64))) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x)) (patch #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x)) (patch #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x)) (patch #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x)) (patch #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) (patch (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) (patch (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) (patch (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) (patch (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x) (patch (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x) (patch (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x) (patch (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x) (patch (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 x) (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) (patch (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) (patch (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) (patch (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) (patch (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) (patch #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) (patch #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) (patch #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) (patch #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 1/120 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 (* -1/6 x) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x))) (patch #s(approx (- (sin x) x) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x))) (patch #s(approx (- (sin x) x) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x))) (patch #s(approx (- (sin x) x) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x))) (patch #s(approx (- (sin x) x) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt -6 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -3/10 (pow x 2)) 6) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow x 2) (- (* -3/200 (pow x 2)) 3/10)) 6) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow x 2) (- (* (pow x 2) (- (* -3/4000 (pow x 2)) 3/200)) 3/10)) 6) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -1/6 (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt #s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 #s(literal -1/6 binary64) x))) (patch #s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 #s(literal -1/6 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt #s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 #s(literal -1/6 binary64) x))) (patch #s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 #s(literal -1/6 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt #s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 #s(literal -1/6 binary64) x))) (patch #s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 #s(literal -1/6 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (pow.f64 x #s(literal -2 binary64)) (patch (pow.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (pow.f64 x #s(literal -2 binary64)) (patch (pow.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (pow.f64 x #s(literal -2 binary64)) (patch (pow.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (pow.f64 x #s(literal -2 binary64)) (patch (pow.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 (pow x 5)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 (pow x 5)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x)) (patch (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x)) (patch (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x)) (patch (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x)) (patch (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x)) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | ((+ (* (* -1/6 x) x) (* (+ (* (* x x) -1/5040) 1/120) (pow x 4))) (- (sin x) x) (* -1/6 x) (* (+ (* (* x x) -1/5040) 1/120) (pow x 4)) (- (sin x) x) (* (* -1/6 x) x) (* (* (* -1/6 x) x) x) (+ (* (* 1/120 (* x x)) x) (* -1/6 x)) (- (sin x) x) (* 1/120 (* x x)) (* x x) (/ x (/ 1 (+ (* 1/120 (* x x)) -1/6))) (- (sin x) x) (/ 1 (+ (* 1/120 (* x x)) -1/6)) (+ (* 1/120 (* x x)) -1/6) (* (/ 1 (pow x -2)) (* -1/6 x)) (- (sin x) x) (/ 1 (pow x -2)) (pow x -2) (* (+ (* (* 1/120 (* x x)) x) (* -1/6 x)) (* x x)) (* (/ x (/ 1 (+ (* 1/120 (* x x)) -1/6))) (* x x))) |
| 3.0ms | x | @ | -inf | ((+ (* (* -1/6 x) x) (* (+ (* (* x x) -1/5040) 1/120) (pow x 4))) (- (sin x) x) (* -1/6 x) (* (+ (* (* x x) -1/5040) 1/120) (pow x 4)) (- (sin x) x) (* (* -1/6 x) x) (* (* (* -1/6 x) x) x) (+ (* (* 1/120 (* x x)) x) (* -1/6 x)) (- (sin x) x) (* 1/120 (* x x)) (* x x) (/ x (/ 1 (+ (* 1/120 (* x x)) -1/6))) (- (sin x) x) (/ 1 (+ (* 1/120 (* x x)) -1/6)) (+ (* 1/120 (* x x)) -1/6) (* (/ 1 (pow x -2)) (* -1/6 x)) (- (sin x) x) (/ 1 (pow x -2)) (pow x -2) (* (+ (* (* 1/120 (* x x)) x) (* -1/6 x)) (* x x)) (* (/ x (/ 1 (+ (* 1/120 (* x x)) -1/6))) (* x x))) |
| 2.0ms | x | @ | 0 | ((+ (* (* -1/6 x) x) (* (+ (* (* x x) -1/5040) 1/120) (pow x 4))) (- (sin x) x) (* -1/6 x) (* (+ (* (* x x) -1/5040) 1/120) (pow x 4)) (- (sin x) x) (* (* -1/6 x) x) (* (* (* -1/6 x) x) x) (+ (* (* 1/120 (* x x)) x) (* -1/6 x)) (- (sin x) x) (* 1/120 (* x x)) (* x x) (/ x (/ 1 (+ (* 1/120 (* x x)) -1/6))) (- (sin x) x) (/ 1 (+ (* 1/120 (* x x)) -1/6)) (+ (* 1/120 (* x x)) -1/6) (* (/ 1 (pow x -2)) (* -1/6 x)) (- (sin x) x) (/ 1 (pow x -2)) (pow x -2) (* (+ (* (* 1/120 (* x x)) x) (* -1/6 x)) (* x x)) (* (/ x (/ 1 (+ (* 1/120 (* x x)) -1/6))) (* x x))) |
| 1× | egg-herbie |
| 15 576× | lower-fma.f64 |
| 15 576× | lower-fma.f32 |
| 3 710× | lower-*.f64 |
| 3 710× | lower-*.f32 |
| 2 460× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 1854 |
| 1 | 240 | 1854 |
| 2 | 625 | 1854 |
| 3 | 1843 | 1794 |
| 4 | 4099 | 1734 |
| 5 | 6944 | 1734 |
| 0 | 8175 | 1657 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (+ 1/120 (* -1/5040 (pow x 2)))) |
(* (pow x 4) (+ 1/120 (* -1/5040 (pow x 2)))) |
(* (pow x 4) (+ 1/120 (* -1/5040 (pow x 2)))) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 x) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -1/6 x) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
-6 |
(- (* -3/10 (pow x 2)) 6) |
(- (* (pow x 2) (- (* -3/200 (pow x 2)) 3/10)) 6) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -3/4000 (pow x 2)) 3/200)) 3/10)) 6) |
-1/6 |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* 1/120 (pow x 2)) 1/6) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* -1/5040 (pow x 6)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/5040 (pow x 6)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/120 (pow x 3)) |
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(/ 120 (pow x 2)) |
(/ (+ 120 (* 2400 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 120 (+ (* 2400 (/ 1 (pow x 2))) (/ 48000 (pow x 4)))) (pow x 2)) |
(/ (+ 120 (+ (* 2400 (/ 1 (pow x 2))) (+ (* 960000 (/ 1 (pow x 6))) (/ 48000 (pow x 4))))) (pow x 2)) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* -1/5040 (pow x 6)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/5040 (pow x 6)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/120 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(/ 120 (pow x 2)) |
(/ (+ 120 (* 2400 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 120 (+ (* 2400 (/ 1 (pow x 2))) (/ 48000 (pow x 4)))) (pow x 2)) |
(/ (+ 120 (+ (* 2400 (/ 1 (pow x 2))) (+ (* 960000 (/ 1 (pow x 6))) (/ 48000 (pow x 4))))) (pow x 2)) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(* 1/120 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* 1/120 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
| Outputs |
|---|
(* -1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* 1/120 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 4) (+ 1/120 (* -1/5040 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5040 binary64))) |
(* (pow x 4) (+ 1/120 (* -1/5040 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5040 binary64))) |
(* (pow x 4) (+ 1/120 (* -1/5040 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5040 binary64))) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* 1/120 (pow x 2)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(* 1/120 (pow x 2)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(* 1/120 (pow x 2)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(* 1/120 (pow x 2)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
-6 |
#s(literal -6 binary64) |
(- (* -3/10 (pow x 2)) 6) |
(fma.f64 #s(literal -3/10 binary64) (*.f64 x x) #s(literal -6 binary64)) |
(- (* (pow x 2) (- (* -3/200 (pow x 2)) 3/10)) 6) |
(fma.f64 (fma.f64 #s(literal -3/200 binary64) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -3/4000 (pow x 2)) 3/200)) 3/10)) 6) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -3/4000 binary64) (*.f64 x x) #s(literal -3/200 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/120 (pow x 2)) 1/6) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
(- (* 1/120 (pow x 2)) 1/6) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
(- (* 1/120 (pow x 2)) 1/6) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 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) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
(* -1/5040 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5040 binary64)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/5040 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5040 binary64)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* -1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* 1/120 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* 1/120 (pow x 2)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(* 1/120 (pow x 2)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(* 1/120 (pow x 2)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(* 1/120 (pow x 2)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 1/120 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(/ 120 (pow x 2)) |
(/.f64 #s(literal 120 binary64) (*.f64 x x)) |
(/ (+ 120 (* 2400 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2400 binary64) (*.f64 x x)) #s(literal 120 binary64)) x) x) |
(/ (+ 120 (+ (* 2400 (/ 1 (pow x 2))) (/ 48000 (pow x 4)))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 48000 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 120 binary64)) (/.f64 #s(literal 2400 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (+ 120 (+ (* 2400 (/ 1 (pow x 2))) (+ (* 960000 (/ 1 (pow x 6))) (/ 48000 (pow x 4))))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 960000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 120 binary64)) (+.f64 (/.f64 #s(literal 48000 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2400 binary64) (*.f64 x x)))) (*.f64 x x)) |
(* 1/120 (pow x 2)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* 1/120 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* 1/120 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* -1/5040 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5040 binary64)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/5040 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5040 binary64)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* 1/120 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* 1/120 (pow x 2)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(* 1/120 (pow x 2)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(* 1/120 (pow x 2)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(* 1/120 (pow x 2)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 1/120 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(/ 120 (pow x 2)) |
(/.f64 #s(literal 120 binary64) (*.f64 x x)) |
(/ (+ 120 (* 2400 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2400 binary64) (*.f64 x x)) #s(literal 120 binary64)) x) x) |
(/ (+ 120 (+ (* 2400 (/ 1 (pow x 2))) (/ 48000 (pow x 4)))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 48000 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 120 binary64)) (/.f64 #s(literal 2400 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (+ 120 (+ (* 2400 (/ 1 (pow x 2))) (+ (* 960000 (/ 1 (pow x 6))) (/ 48000 (pow x 4))))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 960000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 120 binary64)) (+.f64 (/.f64 #s(literal 48000 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2400 binary64) (*.f64 x x)))) (*.f64 x x)) |
(* 1/120 (pow x 2)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* 1/120 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* 1/120 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
| 7 476× | lower-fma.f32 |
| 7 468× | lower-fma.f64 |
| 4 518× | lower-*.f32 |
| 4 500× | lower-*.f64 |
| 3 394× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 213 |
| 0 | 54 | 195 |
| 1 | 197 | 179 |
| 2 | 1334 | 178 |
| 0 | 8368 | 177 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (sin x) x) (*.f64 x (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64)))))) |
(*.f64 #s(literal -1/6 binary64) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) x) |
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(*.f64 x x) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) |
#s(approx (- (sin x) x) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 #s(literal -1/6 binary64) x)) |
#s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 #s(literal -1/6 binary64) x))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)))) |
(*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64) (*.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64) (*.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64) (*.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))) |
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(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)) (*.f64 x x)))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64))))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)) (*.f64 x x))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64)))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x (*.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)) (*.f64 x x)))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64))))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)) (*.f64 x x))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x (*.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)))) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64)))) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)) (*.f64 x x)))) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64))))) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)))) |
(fma.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64)))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)) (*.f64 x x)))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64))))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)))) |
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x x) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64)))) |
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)) (*.f64 x x)))) |
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64))))) |
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x x) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)) (*.f64 x x))) |
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)) (*.f64 x x)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64))))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)) (*.f64 x x))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)))) |
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64)))) |
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)) (*.f64 x x)))) |
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64))))) |
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)) (*.f64 x x))) |
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) (/.f64 x (/.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/14400 binary64)) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) (pow.f64 x #s(literal -2 binary64))) (/.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (pow.f64 x #s(literal -2 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 (log.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
(+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/120 binary64) (*.f64 x x))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/6 binary64))) |
(+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/120 binary64) (*.f64 x x)))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)) (*.f64 x x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
(+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64)))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)) (*.f64 x x)))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64))))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)) (*.f64 x x))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)))) |
Compiled 31 862 to 3 309 computations (89.6% saved)
17 alts after pruning (11 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 566 | 7 | 1 573 |
| Fresh | 6 | 4 | 10 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 575 | 17 | 1 592 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 68.5% | (-.f64 (sin.f64 x) x) |
| 98.2% | #s(approx (- (sin x) x) (/.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) (/.f64 #s(literal -1 binary64) x))) | |
| 98.1% | #s(approx (- (sin x) x) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) x) #s(literal -6 binary64)))) | |
| ✓ | 98.9% | #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) |
| 98.2% | #s(approx (- (sin x) x) (*.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal -1 binary64) x)) x)) | |
| 98.1% | #s(approx (- (sin x) x) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* 1/120 (* x x)) -1/6)) #s(literal -6 binary64))) (*.f64 x x))) | |
| 98.1% | #s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1/6 binary64) x))) | |
| 99.1% | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) | |
| 98.9% | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)) | |
| ✓ | 98.1% | #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) |
| 98.2% | #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) | |
| ✓ | 98.2% | #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x)) |
| 99.1% | #s(approx (- (sin x) x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))) | |
| ✓ | 98.1% | #s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x))) |
| 99.1% | #s(approx (- (sin x) x) (*.f64 x (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) (*.f64 x x))))) | |
| ✓ | 6.4% | #s(approx (- (sin x) x) (neg.f64 x)) |
| 38.5% | #s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 #s(approx (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) |
Compiled 665 to 292 computations (56.1% saved)
| Inputs |
|---|
#s(approx (- (sin x) x) (neg.f64 x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) |
#s(approx (- (sin x) x) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* 1/120 (* x x)) -1/6)) #s(literal -6 binary64))) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal -1 binary64) x)) x)) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))) |
#s(approx (- (sin x) x) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 x (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) (*.f64 x x))))) |
#s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1/6 binary64) x))) |
#s(approx (- (sin x) x) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x) (*.f64 #s(literal -1/6 binary64) x))) (*.f64 x x))) |
(-.f64 (sin.f64 x) x) |
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 #s(approx (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) |
#s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 #s(literal -1/6 binary64) x))) |
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- (sin x) x) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) x) #s(literal -6 binary64)))) |
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64))))) |
#s(approx (- (sin x) x) (*.f64 x (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64)))))) |
#s(approx (- (sin x) x) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)))) |
#s(approx (- (sin x) x) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64))) |
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))))) |
| Outputs |
|---|
#s(approx (- (sin x) x) (*.f64 x (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) (*.f64 x x))))) |
2 calls:
| 13.0ms | x |
| 8.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | x |
| 99.1% | 1 | (-.f64 (sin.f64 x) x) |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (- (sin x) x) (neg.f64 x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) |
#s(approx (- (sin x) x) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* 1/120 (* x x)) -1/6)) #s(literal -6 binary64))) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal -1 binary64) x)) x)) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))) |
#s(approx (- (sin x) x) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))) |
2 calls:
| 5.0ms | x |
| 4.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | x |
| 99.1% | 1 | (-.f64 (sin.f64 x) x) |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (- (sin x) x) (neg.f64 x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) |
#s(approx (- (sin x) x) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* 1/120 (* x x)) -1/6)) #s(literal -6 binary64))) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal -1 binary64) x)) x)) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
2 calls:
| 4.0ms | x |
| 3.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | x |
| 99.1% | 1 | (-.f64 (sin.f64 x) x) |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (- (sin x) x) (neg.f64 x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) |
#s(approx (- (sin x) x) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* 1/120 (* x x)) -1/6)) #s(literal -6 binary64))) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal -1 binary64) x)) x)) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) (/.f64 #s(literal -1 binary64) x))) |
| Outputs |
|---|
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)) |
2 calls:
| 7.0ms | (-.f64 (sin.f64 x) x) |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 1 | x |
| 98.9% | 1 | (-.f64 (sin.f64 x) x) |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (- (sin x) x) (neg.f64 x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) |
#s(approx (- (sin x) x) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* 1/120 (* x x)) -1/6)) #s(literal -6 binary64))) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x)) |
2 calls:
| 2.0ms | x |
| 2.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 1 | x |
| 98.2% | 1 | (-.f64 (sin.f64 x) x) |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (- (sin x) x) (neg.f64 x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x))) |
| Outputs |
|---|
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x))) |
2 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 1 | x |
| 98.1% | 1 | (-.f64 (sin.f64 x) x) |
Compiled 5 to 4 computations (20% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (- (sin x) x) (neg.f64 x)) |
| Outputs |
|---|
#s(approx (- (sin x) x) (neg.f64 x)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 6.4% | 1 | x |
| 6.4% | 1 | (-.f64 (sin.f64 x) x) |
Compiled 5 to 4 computations (20% saved)
| 1× | egg-herbie |
| 28× | *-commutative-binary64-*.f64 |
| 2× | neg-sub0-binary64--.f64-neg.f64 |
| 2× | +-commutative-binary64-+.f64 |
| 2× | neg-mul-1-binary64-*.f64-neg.f64 |
| 2× | sub-neg-binary64-neg.f64-+.f64--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 120 |
| 1 | 51 | 120 |
| 2 | 53 | 120 |
| 3 | 54 | 120 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (- (sin x) x) (*.f64 x (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) (*.f64 x x))))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x))) |
#s(approx (- (sin x) x) (neg.f64 x)) |
| Outputs |
|---|
#s(approx (- (sin x) x) (*.f64 x (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) (*.f64 x x))))) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) (*.f64 x x))) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x))) |
#s(approx (- (sin x) x) (neg.f64 x)) |
| 12 140× | lower-fma.f64 |
| 12 140× | lower-fma.f32 |
| 8 578× | lower-fma.f32 |
| 8 572× | lower-fma.f64 |
| 7 476× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 213 |
| 0 | 54 | 195 |
| 1 | 197 | 179 |
| 2 | 1334 | 178 |
| 0 | 8368 | 177 |
| 0 | 47 | 170 |
| 1 | 121 | 164 |
| 2 | 313 | 164 |
| 3 | 939 | 152 |
| 4 | 2033 | 140 |
| 5 | 3880 | 140 |
| 0 | 8027 | 128 |
| 0 | 38 | 229 |
| 0 | 57 | 211 |
| 1 | 197 | 211 |
| 2 | 1170 | 205 |
| 0 | 8330 | 199 |
| 0 | 20 | 113 |
| 0 | 32 | 113 |
| 1 | 111 | 113 |
| 2 | 717 | 113 |
| 3 | 7448 | 113 |
| 0 | 8398 | 113 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 309 to 189 computations (38.8% saved)
(negabs x)
Compiled 422 to 210 computations (50.2% saved)
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