
Time bar (total: 5.1s)
| 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)
| 488.0ms | 7 239× | 1 | valid |
| 74.0ms | 534× | 2 | valid |
| 19.0ms | 483× | 0 | valid |
ival-sin: 191.0ms (46.5% of total)adjust: 89.0ms (21.7% of total)ival-sub: 74.0ms (18% of total)ival-<: 35.0ms (8.5% of total)ival-and: 10.0ms (2.4% of total)exact: 10.0ms (2.4% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 89 | 164 | (-1.1506073322431458e-220) | 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 | 253 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 89 | 0 |
| - | 164 | 3 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 89 | 0 | 0 |
| - | 164 | 1 | 2 |
| number | freq |
|---|---|
| 0 | 3 |
| 1 | 253 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 29.0ms | 450× | 1 | valid |
| 4.0ms | 30× | 2 | valid |
| 1.0ms | 32× | 0 | valid |
Compiled 43 to 22 computations (48.8% saved)
ival-sin: 11.0ms (53.4% of total)adjust: 5.0ms (24.3% of total)ival-sub: 5.0ms (24.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
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 |
|---|---|---|
| ▶ | 69.4% | (-.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) |
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 | 19.593731653026104 | (-.f64 (sin.f64 x) x) |
| 14.0ms | 225× | 1 | valid |
| 2.0ms | 15× | 2 | valid |
| 1.0ms | 16× | 0 | valid |
Compiled 16 to 8 computations (50% saved)
ival-sin: 5.0ms (50.2% of total)adjust: 2.0ms (20.1% of total)ival-sub: 2.0ms (20.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 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 |
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) |
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 |
|---|
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Compiled 6 095 to 589 computations (90.3% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 187 | 10 | 197 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 187 | 11 | 198 |
| Status | Accuracy | Program |
|---|---|---|
| 5.0% | (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)))))) | |
| 4.1% | (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)))))) | |
| ▶ | 58.2% | (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x)) |
| 58.2% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 x) x) (*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))) | |
| ▶ | 19.0% | (-.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))))) |
| ✓ | 69.4% | (-.f64 (sin.f64 x) x) |
| ▶ | 98.9% | #s(approx (- (sin x) x) (*.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)))) |
| 98.8% | #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)))) | |
| ▶ | 98.4% | #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)))) |
| 97.9% | #s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) | |
| ▶ | 6.5% | #s(approx (- (sin x) x) (neg.f64 x)) |
Compiled 394 to 211 computations (46.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (pow.f64 (sin.f64 x) #s(literal 3 binary64)) | |
| cost-diff | 0 | (/.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)))) | |
| cost-diff | 0 | (-.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))))) | |
| cost-diff | 0 | (pow.f64 (sin.f64 x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) | |
| cost-diff | 14080 | (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x)) | |
| 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 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (neg.f64 x)) | |
| cost-diff | 0 | (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)) | |
| cost-diff | 0 | (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)) | |
| cost-diff | 0 | (*.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))) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (*.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)))) |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 265 |
| 0 | 56 | 265 |
| 1 | 92 | 265 |
| 2 | 180 | 265 |
| 3 | 445 | 265 |
| 4 | 1214 | 265 |
| 5 | 2687 | 258 |
| 6 | 4641 | 256 |
| 7 | 5831 | 256 |
| 0 | 8033 | 256 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (sin x) x) (*.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)))) |
(*.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))) |
(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)) |
(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)) |
(fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) |
#s(literal 1/362880 binary64) |
(*.f64 x x) |
x |
#s(literal -1/5040 binary64) |
#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) (neg.f64 x)) |
(neg.f64 x) |
x |
#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) |
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x)) |
(fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(neg.f64 x) |
x |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(sin.f64 x) |
#s(literal 2 binary64) |
(+.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 (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 (sin.f64 x) #s(literal 3 binary64)) |
(sin.f64 x) |
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) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
#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)))) |
(pow.f64 x #s(literal 3 binary64)) |
| Outputs |
|---|
#s(approx (- (sin x) x) (*.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)))) |
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.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))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
(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)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
(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)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) |
(fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) |
#s(literal 1/362880 binary64) |
(*.f64 x x) |
x |
#s(literal -1/5040 binary64) |
#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) (neg.f64 x)) |
(neg.f64 x) |
x |
#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) |
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x)) |
(-.f64 (sin.f64 x) x) |
(fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(neg.f64 x) |
x |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(sin.f64 x) |
#s(literal 2 binary64) |
(+.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 (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 (sin.f64 x) #s(literal 3 binary64)) |
(sin.f64 x) |
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) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
#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)))) |
(pow.f64 x #s(literal 3 binary64)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.06640625 | (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) | |
| accuracy | 19.577047498065117 | (-.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))))) | |
| accuracy | 40.46679553307275 | (/.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)))) | |
| accuracy | 40.47460803307275 | (/.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)))) | |
| accuracy | 0.00390625 | (pow.f64 (sin.f64 x) #s(literal 2 binary64)) | |
| accuracy | 0.01171875 | (+.f64 (sin.f64 x) x) | |
| accuracy | 5.439556854875571 | (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x)) | |
| accuracy | 25.852120811183006 | (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) | |
| accuracy | 0.00390625 | (pow.f64 x #s(literal 3 binary64)) | |
| accuracy | 0.01171875 | (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) | |
| accuracy | 0.15234375 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 0.856434056113439 | #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 | (neg.f64 x) | |
| accuracy | 59.83690388001973 | #s(approx (- (sin x) x) (neg.f64 x)) | |
| accuracy | 0.0078125 | (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) | |
| accuracy | 0.01171875 | (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)) | |
| accuracy | 0.14453125 | (*.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))) | |
| accuracy | 0.5660246448401456 | #s(approx (- (sin x) x) (*.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)))) |
| 115.0ms | 225× | 1 | valid |
| 11.0ms | 15× | 2 | valid |
| 4.0ms | 16× | 0 | valid |
Compiled 503 to 64 computations (87.3% saved)
ival-mult: 21.0ms (20.5% of total)const: 19.0ms (18.5% of total)adjust: 16.0ms (15.6% of total)ival-add: 14.0ms (13.7% of total)ival-pow: 9.0ms (8.8% of total)ival-div: 8.0ms (7.8% of total)ival-sin: 6.0ms (5.9% of total)ival-pow2: 4.0ms (3.9% of total)ival-sub: 4.0ms (3.9% of total)ival-neg: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (- (sin x) x) (*.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)))) (patch #s(approx (- (sin x) x) (*.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)))) #<representation binary64>) () ()) |
#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ()) |
#s(alt (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)) (patch (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)) #<representation binary64>) () ()) |
#s(alt (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)) (patch (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)) #<representation binary64>) () ()) |
#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 (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 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x)) (patch (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (patch (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.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))))) (patch (-.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))))) #<representation binary64>) () ()) |
#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (patch (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (patch (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 (sin.f64 x) x) (patch (+.f64 (sin.f64 x) x) #<representation binary64>) () ()) |
#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (patch (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.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)))) (patch #s(approx (- (sin x) x) (*.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)))) #<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 (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)))) (patch #s(approx (- (sin x) x) (*.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)))) #<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 (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)))) (patch #s(approx (- (sin x) x) (*.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)))) #<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 (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)))) (patch #s(approx (- (sin x) x) (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (*.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))) (patch (*.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))) #<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 (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))) (patch (*.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))) #<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 (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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt -1/6 (taylor 0 x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/120 (pow x 2)) 1/6) (taylor 0 x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) (taylor 0 x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6) (taylor 0 x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt 1/120 (taylor 0 x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/120 (* -1/5040 (pow x 2))) (taylor 0 x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))) (taylor 0 x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))) (taylor 0 x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
#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 (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>) () ())) ()) |
#s(alt (- (* 1/120 (pow x 2)) 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>) () ())) ()) |
#s(alt (- (* 1/120 (pow x 2)) 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>) () ())) ()) |
#s(alt (- (* 1/120 (pow x 2)) 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>) () ())) ()) |
#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 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x)) (patch (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.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 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x)) (patch (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.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 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x)) (patch (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.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 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x)) (patch (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (pow x 4)) (taylor 0 x) (#s(alt (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (patch (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (- (* 2/45 (pow x 2)) 1/3)) (taylor 0 x) (#s(alt (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (patch (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)) (taylor 0 x) (#s(alt (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (patch (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (- (* (pow x 2) (+ 2/45 (* (pow x 2) (- (* 2/14175 (pow x 2)) 1/315)))) 1/3)) (taylor 0 x) (#s(alt (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (patch (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) (taylor 0 x) (#s(alt (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (-.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))))) (patch (-.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))))) #<representation binary64>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | inf | ((- (sin x) x) (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (- (sin x) x) (neg x) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (* x x) (/ (+ (* (neg x) x) (pow (sin x) 2)) (+ (sin x) x)) (+ (* (neg x) x) (pow (sin x) 2)) (pow (sin x) 2) (- (/ (pow (sin x) 3) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (/ (pow x 3) (+ (* (+ (sin x) x) x) (pow (sin x) 2)))) (/ (pow (sin x) 3) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (pow (sin x) 3) (sin x) (+ (* 1/362880 (* x x)) -1/5040) (pow x 3) (+ (sin x) x) (/ (pow x 3) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) |
| 5.0ms | x | @ | -inf | ((- (sin x) x) (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (- (sin x) x) (neg x) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (* x x) (/ (+ (* (neg x) x) (pow (sin x) 2)) (+ (sin x) x)) (+ (* (neg x) x) (pow (sin x) 2)) (pow (sin x) 2) (- (/ (pow (sin x) 3) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (/ (pow x 3) (+ (* (+ (sin x) x) x) (pow (sin x) 2)))) (/ (pow (sin x) 3) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (pow (sin x) 3) (sin x) (+ (* 1/362880 (* x x)) -1/5040) (pow x 3) (+ (sin x) x) (/ (pow x 3) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) |
| 3.0ms | x | @ | 0 | ((- (sin x) x) (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (- (sin x) x) (neg x) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (* x x) (/ (+ (* (neg x) x) (pow (sin x) 2)) (+ (sin x) x)) (+ (* (neg x) x) (pow (sin x) 2)) (pow (sin x) 2) (- (/ (pow (sin x) 3) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (/ (pow x 3) (+ (* (+ (sin x) x) x) (pow (sin x) 2)))) (/ (pow (sin x) 3) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (pow (sin x) 3) (sin x) (+ (* 1/362880 (* x x)) -1/5040) (pow x 3) (+ (sin x) x) (/ (pow x 3) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 344 | 2462 |
| 1 | 1038 | 2412 |
| 2 | 3283 | 2302 |
| 0 | 8399 | 2184 |
| 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)) |
(* -1/6 (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) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
(- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6) |
1/120 |
(+ 1/120 (* -1/5040 (pow x 2))) |
(+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))) |
(+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))) |
(* -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)) |
(* (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)) |
(* -1/3 (pow x 4)) |
(* (pow x 4) (- (* 2/45 (pow x 2)) 1/3)) |
(* (pow x 4) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)) |
(* (pow x 4) (- (* (pow x 2) (+ 2/45 (* (pow x 2) (- (* 2/14175 (pow x 2)) 1/315)))) 1/3)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)))) |
(* -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)) |
(* 1/3 x) |
(* x (+ 1/3 (* -1/9 (pow x 2)))) |
(* x (+ 1/3 (* (pow x 2) (- (* 19/1620 (pow x 2)) 1/9)))) |
(* x (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 19/1620 (* -2/8505 (pow x 2)))) 1/9)))) |
(pow x 3) |
(* (pow x 3) (+ 1 (* -1/2 (pow x 2)))) |
(* (pow x 3) (+ 1 (* (pow x 2) (- (* 13/120 (pow x 2)) 1/2)))) |
(* (pow x 3) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 13/120 (* -41/3024 (pow x 2)))) 1/2)))) |
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)))) |
-1/5040 |
(- (* 1/362880 (pow x 2)) 1/5040) |
(- (* 1/362880 (pow x 2)) 1/5040) |
(- (* 1/362880 (pow x 2)) 1/5040) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 2 x) |
(* x (+ 2 (* -1/6 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(* 1/3 x) |
(* x (+ 1/3 (* 1/18 (pow x 2)))) |
(* x (+ 1/3 (* (pow x 2) (+ 1/18 (* 11/3240 (pow x 2)))))) |
(* x (+ 1/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 11/3240 (* -1/27216 (pow x 2)))))))) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -1/2 (pow x 2)))) |
(* (pow x 2) (+ 3 (* (pow x 2) (- (* 19/360 (pow x 2)) 1/2)))) |
(* (pow x 2) (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 19/360 (* -17/5040 (pow x 2)))) 1/2)))) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* 1/362880 (pow x 9)) |
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/362880 (pow x 6)) |
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/362880 (pow x 4)) |
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (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)) |
(* 1/120 (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 (pow x 2)) |
(* (pow x 2) (- (/ (pow (sin x) 2) (pow x 2)) 1)) |
(* (pow x 2) (- (/ (pow (sin x) 2) (pow x 2)) 1)) |
(* (pow x 2) (- (/ (pow (sin x) 2) (pow x 2)) 1)) |
(pow (sin x) 2) |
(pow (sin x) 2) |
(pow (sin x) 2) |
(pow (sin x) 2) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ (sin x) x) (/ (pow (sin x) 2) (pow x 2)))) 1)) |
(* x (- (+ (* -1 (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) (pow x 3))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (* -1 (/ (pow (sin x) 3) (pow x 3))) (+ (/ (sin x) x) (+ (/ (pow (sin x) 2) (pow x 2)) (/ (pow (sin x) 3) (pow x 3))))))) 1)) |
(/ (pow (sin x) 3) (pow x 2)) |
(/ (+ (* -1 (/ (pow (sin x) 4) x)) (pow (sin x) 3)) (pow x 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (pow (sin x) 5)) (pow (sin x) 5)) (pow x 2))) (pow (sin x) 3)) (/ (pow (sin x) 4) x)) (pow x 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sin x) (+ (* -1 (pow (sin x) 5)) (pow (sin x) 5)))) (* -1 (pow (sin x) 6))) (pow x 3))) (pow (sin x) 3)) (+ (* -1 (/ (pow (sin x) 5) (pow x 2))) (+ (/ (pow (sin x) 4) x) (/ (pow (sin x) 5) (pow x 2))))) (pow x 2)) |
(pow (sin x) 3) |
(pow (sin x) 3) |
(pow (sin x) 3) |
(pow (sin x) 3) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(* 1/362880 (pow x 2)) |
(* (pow x 2) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
x |
(* x (+ 1 (/ (sin x) x))) |
(* x (+ 1 (/ (sin x) x))) |
(* x (+ 1 (/ (sin x) x))) |
x |
(* x (+ 1 (* -1 (/ (sin x) x)))) |
(* x (- (+ 1 (* -1 (/ (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2)) (pow x 2)))) (/ (sin x) x))) |
(* x (- (+ 1 (* -1 (/ (+ (* -1 (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2)))) (* -1 (pow (sin x) 3))) (pow x 3)))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ (sin x) x) (/ (pow (sin x) 2) (pow x 2)))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ (sin x) x))) |
(* (pow x 2) (+ 1 (+ (/ (sin x) x) (/ (pow (sin x) 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (/ (sin x) x) (/ (pow (sin 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))))) |
(* 1/362880 (pow x 9)) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* 1/362880 (pow x 6)) |
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/362880 (pow x 4)) |
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 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))))) |
(* -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))))) |
(* 1/120 (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 (pow x 2)) |
(* (pow x 2) (- (/ (pow (sin x) 2) (pow x 2)) 1)) |
(* (pow x 2) (- (/ (pow (sin x) 2) (pow x 2)) 1)) |
(* (pow x 2) (- (/ (pow (sin x) 2) (pow x 2)) 1)) |
(pow (sin x) 2) |
(pow (sin x) 2) |
(pow (sin x) 2) |
(pow (sin x) 2) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 2) x)) (/ (pow (sin x) 2) x)) (* -1 (sin x))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x)) (* -1 (sin x))) x))))) |
(/ (pow (sin x) 3) (pow x 2)) |
(/ (+ (* -1 (/ (pow (sin x) 4) x)) (pow (sin x) 3)) (pow x 2)) |
(/ (+ (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 5) x)) (/ (pow (sin x) 5) x)) (* -1 (pow (sin x) 4))) x)) (pow (sin x) 3)) (pow x 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* (sin x) (+ (* -1 (pow (sin x) 5)) (pow (sin x) 5))) x) (/ (pow (sin x) 6) x)) (+ (* -1 (pow (sin x) 5)) (pow (sin x) 5))) x)) (* -1 (pow (sin x) 4))) x)) (pow (sin x) 3)) (pow x 2)) |
(pow (sin x) 3) |
(pow (sin x) 3) |
(pow (sin x) 3) |
(pow (sin x) 3) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(* 1/362880 (pow x 2)) |
(* (pow x 2) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
x |
(* -1 (* x (- (* -1 (/ (sin x) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin x) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin x) x)) 1))) |
x |
(* -1 (* x (- (/ (sin x) x) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 2) x)) (/ (pow (sin x) 2) x)) (sin x)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 3) x)) (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x)) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x)) (sin x)) x)) 1))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ (sin x) x))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (pow (sin x) 2) x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (pow (sin x) 2) x))) 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))) |
(* -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 |
#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 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6) |
(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)) |
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 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))) |
(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)) |
(+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))) |
(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)) |
(* -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)) |
(* (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)) |
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(* x (+ 1 (/ (sin x) x))) |
(fma.f64 (/.f64 (sin.f64 x) x) x x) |
x |
(* x (+ 1 (* -1 (/ (sin x) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x) |
(* x (- (+ 1 (* -1 (/ (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2)) (pow x 2)))) (/ (sin x) x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x) |
(* x (- (+ 1 (* -1 (/ (+ (* -1 (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2)))) (* -1 (pow (sin x) 3))) (pow x 3)))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ (sin x) x) (/ (pow (sin x) 2) (pow x 2)))))) |
(fma.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 x) x) #s(literal 3 binary64)) (/.f64 (sin.f64 x) x)) x x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ (sin x) x))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) x x) x) |
(* (pow x 2) (+ 1 (+ (/ (sin x) x) (/ (pow (sin x) 2) (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 (+.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (+ (/ (sin x) x) (/ (pow (sin x) 2) (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 (+.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) |
(* 1/362880 (pow x 9)) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/362880 binary64)) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(*.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 9 binary64))) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) #s(literal 1/362880 binary64))) (pow.f64 x #s(literal 9 binary64))) |
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) #s(literal 1/362880 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 9 binary64))) |
(* 1/362880 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/362880 binary64)) |
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) #s(literal 1/362880 binary64)))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) #s(literal 1/362880 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) |
(* 1/362880 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/362880 binary64)) |
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) #s(literal 1/362880 binary64)))) |
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) #s(literal 1/362880 binary64)))) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) 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 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 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))) |
(* 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))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) 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 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (/ (pow (sin x) 2) (pow x 2)) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) x) #s(literal -1 binary64)) x) x) |
(* (pow x 2) (- (/ (pow (sin x) 2) (pow x 2)) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) x) #s(literal -1 binary64)) x) x) |
(* (pow x 2) (- (/ (pow (sin x) 2) (pow x 2)) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) x) #s(literal -1 binary64)) x) x) |
(pow (sin x) 2) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(pow (sin x) 2) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(pow (sin x) 2) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(pow (sin x) 2) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 2) x)) (/ (pow (sin x) 2) x)) (* -1 (sin x))) x))))) |
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x)) (* -1 (sin x))) x))))) |
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) |
(/ (pow (sin x) 3) (pow x 2)) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) x) x) |
(/ (+ (* -1 (/ (pow (sin x) 4) x)) (pow (sin x) 3)) (pow x 2)) |
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) x)) (*.f64 x x)) |
(/ (+ (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 5) x)) (/ (pow (sin x) 5) x)) (* -1 (pow (sin x) 4))) x)) (pow (sin x) 3)) (pow x 2)) |
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) x)) (*.f64 x x)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* (sin x) (+ (* -1 (pow (sin x) 5)) (pow (sin x) 5))) x) (/ (pow (sin x) 6) x)) (+ (* -1 (pow (sin x) 5)) (pow (sin x) 5))) x)) (* -1 (pow (sin x) 4))) x)) (pow (sin x) 3)) (pow x 2)) |
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) x)) (*.f64 x x)) |
(pow (sin x) 3) |
(pow.f64 (sin.f64 x) #s(literal 3 binary64)) |
(pow (sin x) 3) |
(pow.f64 (sin.f64 x) #s(literal 3 binary64)) |
(pow (sin x) 3) |
(pow.f64 (sin.f64 x) #s(literal 3 binary64)) |
(pow (sin x) 3) |
(pow.f64 (sin.f64 x) #s(literal 3 binary64)) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(* 1/362880 (pow x 2)) |
(*.f64 #s(literal 1/362880 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) x) x) |
(* (pow x 2) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) x) x) |
(* (pow x 2) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) x) x) |
(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)) |
x |
(* -1 (* x (- (* -1 (/ (sin x) x)) 1))) |
(fma.f64 (/.f64 (sin.f64 x) x) x x) |
(* -1 (* x (- (* -1 (/ (sin x) x)) 1))) |
(fma.f64 (/.f64 (sin.f64 x) x) x x) |
(* -1 (* x (- (* -1 (/ (sin x) x)) 1))) |
(fma.f64 (/.f64 (sin.f64 x) x) x x) |
x |
(* -1 (* x (- (/ (sin x) x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 2) x)) (/ (pow (sin x) 2) x)) (sin x)) x)) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 3) x)) (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x)) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x)) (sin x)) x)) 1))) |
(fma.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 x) x) #s(literal 3 binary64)) (/.f64 (sin.f64 x) x)) x x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ (sin x) x))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) x x) x) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (pow (sin x) 2) x))) x)))) |
(*.f64 (*.f64 (fma.f64 (+.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (pow (sin x) 2) x))) x)))) |
(*.f64 (*.f64 (fma.f64 (+.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 228 |
| 0 | 56 | 211 |
| 1 | 234 | 193 |
| 2 | 1898 | 193 |
| 0 | 8433 | 193 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (sin x) x) (*.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)))) |
(*.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))) |
(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)) |
(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)) |
#s(approx (- (sin x) x) (neg.f64 x)) |
(neg.f64 x) |
#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) |
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x)) |
(fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(pow.f64 (sin.f64 x) #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 (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 (sin.f64 x) #s(literal 3 binary64)) |
(sin.f64 x) |
(fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(+.f64 (sin.f64 x) x) |
(/.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 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
| Outputs |
|---|
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Compiled 48 163 to 2 725 computations (94.3% saved)
20 alts after pruning (18 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 376 | 17 | 1 393 |
| Fresh | 4 | 1 | 5 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 384 | 20 | 1 404 |
| Status | Accuracy | Program |
|---|---|---|
| 4.0% | (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 x) x) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) (-.f64 (*.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) | |
| 2.8% | (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 x (sin.f64 x)))) | |
| 55.0% | (/.f64 (fma.f64 (neg.f64 x) x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 (sin.f64 x) x)) | |
| 58.2% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 x) x) (*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))) | |
| ✓ | 69.4% | (-.f64 (sin.f64 x) x) |
| 97.9% | #s(approx (/ (+ (* (neg x) x) (pow (sin x) 2)) (+ (sin x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) | |
| ▶ | 98.4% | #s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 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)))) |
| ▶ | 53.4% | #s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))) |
| 98.9% | #s(approx (- (sin x) x) (*.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)) (*.f64 (*.f64 x x) x))) | |
| 98.4% | #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)))) | |
| 98.4% | #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) x))) | |
| 98.4% | #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 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) | |
| 98.9% | #s(approx (- (sin x) x) (*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #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 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 x #s(literal 3 binary64)))) |
| ▶ | 98.9% | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #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))) |
| 98.4% | #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)) | |
| 98.4% | #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))) | |
| 44.9% | #s(approx (- (sin x) x) (*.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x)) (pow.f64 x #s(literal 3 binary64)))) | |
| ✓ | 6.5% | #s(approx (- (sin x) x) (neg.f64 x)) |
| ▶ | 34.0% | #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))))) |
Compiled 725 to 432 computations (40.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) | |
| cost-diff | 0 | (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 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))) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 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)))) | |
| 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 | 512 | (*.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 | (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #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 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #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))) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) x) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))) | |
| cost-diff | 192 | (+.f64 #s(literal 0 binary64) x) | |
| cost-diff | 1024 | (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 x #s(literal 3 binary64))) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 x #s(literal 3 binary64)))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 543 |
| 0 | 85 | 529 |
| 1 | 144 | 523 |
| 2 | 397 | 519 |
| 3 | 1487 | 519 |
| 4 | 3461 | 519 |
| 5 | 5256 | 519 |
| 6 | 7374 | 519 |
| 0 | 8041 | 514 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/362880 binary64) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
(fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) |
(pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal -1/36 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))) |
(/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
x |
(+.f64 #s(literal 0 binary64) x) |
#s(literal 0 binary64) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #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))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #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)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/362880 binary64) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#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) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 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)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 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))) |
(*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) |
#s(literal 1/14400 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal -1/36 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 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) |
| Outputs |
|---|
#s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64)) #s(literal -1/36 binary64)) (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))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64)) #s(literal -1/36 binary64)) (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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64)) #s(literal -1/36 binary64)) (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))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) |
(/.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)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64)) #s(literal -1/36 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(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)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) |
(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)) |
(fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) |
(fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/362880 binary64) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
(fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64)) #s(literal -1/36 binary64)) |
(pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) |
(pow.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)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal -1/36 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))) |
#s(approx (- (sin x) x) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) |
(neg.f64 x) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
x |
(+.f64 #s(literal 0 binary64) x) |
x |
#s(literal 0 binary64) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #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 (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)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #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)) |
(*.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))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(*.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)) x) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
(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)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) |
(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)) |
(fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) |
(fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/362880 binary64) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#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)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 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)) (*.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 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 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) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 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)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 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))) |
(*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) |
#s(literal 1/14400 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal -1/36 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 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) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.015625 | (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) | |
| accuracy | 0.13347626953688405 | (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 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))) | |
| accuracy | 0.13671875 | (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 0.856434056113439 | #s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 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)))) | |
| accuracy | 0.0078125 | (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) | |
| accuracy | 0.203125 | (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) | |
| accuracy | 0.856434056113439 | #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 | 40.781174453892206 | (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) | |
| accuracy | 0.01171875 | (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) | |
| accuracy | 0.11328125 | (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #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)) | |
| accuracy | 0.35546875 | (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) | |
| accuracy | 0.5660246448401456 | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #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))) | |
| accuracy | 0 | (*.f64 (neg.f64 x) x) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 30.71827657666793 | (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) | |
| accuracy | 59.83690388001973 | #s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))) | |
| accuracy | 0.01953125 | (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) | |
| accuracy | 0.0234375 | (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) | |
| accuracy | 0.14453125 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 0.5660246448401456 | #s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 x #s(literal 3 binary64)))) |
| 181.0ms | 225× | 1 | valid |
| 15.0ms | 15× | 2 | valid |
| 7.0ms | 16× | 0 | valid |
Compiled 964 to 99 computations (89.7% saved)
ival-mult: 39.0ms (24.8% of total)const: 36.0ms (22.9% of total)adjust: 21.0ms (13.4% of total)ival-add: 20.0ms (12.7% of total)ival-div: 14.0ms (8.9% of total)ival-pow: 8.0ms (5.1% of total)ival-sin: 7.0ms (4.5% of total)ival-sub: 5.0ms (3.2% of total)ival-pow2: 5.0ms (3.2% of total)exact: 1.0ms (0.6% of total)ival-neg: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 x #s(literal 3 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) (patch (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 0 binary64) x) (patch (+.f64 #s(literal 0 binary64) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))) (patch #s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #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))) (patch #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #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))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #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 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #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 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #<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>) () ()) |
#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 #s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 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)))) (patch #s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 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)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 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))) (patch (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 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))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (patch (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #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)) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #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)) #<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>) () ()) |
| Outputs |
|---|
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#s(alt (- (* 1/120 (pow x 2)) 1/6) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 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 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 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 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 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 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 x #s(literal 3 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 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 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 x #s(literal 3 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 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 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 x #s(literal 3 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 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 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 x #s(literal 3 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -6 (taylor 0 x) (#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -3/10 (pow x 2)) 6) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow x 2) (- (* -11/1400 (pow x 2)) 3/10)) 6) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow x 2) (- (* (pow x 2) (- (* -17/126000 (pow x 2)) 11/1400)) 3/10)) 6) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) (patch (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) (patch (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) (patch (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) (patch (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 1/14400))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 1/14400))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/14400 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (patch (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (patch (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (patch (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (patch (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/131681894400 (pow x 8)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 8) (- 1/131681894400 (* 1/914457600 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 8) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (* 1/914457600 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 8) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (+ (* 1/914457600 (/ 1 (pow x 2))) (* 1/302400 (/ 1 (pow x 6)))))) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/362880 (pow x 9)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #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)) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #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)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #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)) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #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)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #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)) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #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)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #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)) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #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)) #<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>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | inf | ((/ 1 (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36))) (- (sin x) x) (* (/ 1 (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36))) (pow x 3)) (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (/ (* (neg x) x) (+ 0 x)) (+ 0 x) (- (sin x) x) (* (neg x) x) (- (sin x) x) (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* (- 1/120 (/ 1/6 (* x x))) (pow x 5)) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (- 1/120 (/ 1/6 (* x x))) (- (sin x) x) (/ (* (+ (* 1/14400 (pow x 4)) -1/36) (pow x 3)) (+ (* 1/120 (* x x)) 1/6)) (* (+ (* 1/14400 (pow x 4)) -1/36) (pow x 3)) (+ (* 1/14400 (pow x 4)) -1/36) (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (neg x) (* (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (* x x)) (/ 1/6 (* x x))) |
| 4.0ms | x | @ | -inf | ((/ 1 (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36))) (- (sin x) x) (* (/ 1 (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36))) (pow x 3)) (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (/ (* (neg x) x) (+ 0 x)) (+ 0 x) (- (sin x) x) (* (neg x) x) (- (sin x) x) (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* (- 1/120 (/ 1/6 (* x x))) (pow x 5)) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (- 1/120 (/ 1/6 (* x x))) (- (sin x) x) (/ (* (+ (* 1/14400 (pow x 4)) -1/36) (pow x 3)) (+ (* 1/120 (* x x)) 1/6)) (* (+ (* 1/14400 (pow x 4)) -1/36) (pow x 3)) (+ (* 1/14400 (pow x 4)) -1/36) (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (neg x) (* (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (* x x)) (/ 1/6 (* x x))) |
| 4.0ms | x | @ | 0 | ((/ 1 (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36))) (- (sin x) x) (* (/ 1 (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36))) (pow x 3)) (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (/ (* (neg x) x) (+ 0 x)) (+ 0 x) (- (sin x) x) (* (neg x) x) (- (sin x) x) (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* (- 1/120 (/ 1/6 (* x x))) (pow x 5)) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (- 1/120 (/ 1/6 (* x x))) (- (sin x) x) (/ (* (+ (* 1/14400 (pow x 4)) -1/36) (pow x 3)) (+ (* 1/120 (* x x)) 1/6)) (* (+ (* 1/14400 (pow x 4)) -1/36) (pow x 3)) (+ (* 1/14400 (pow x 4)) -1/36) (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (neg x) (* (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (* x x)) (/ 1/6 (* x x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 184 | 2582 |
| 1 | 435 | 2582 |
| 2 | 1208 | 2546 |
| 3 | 3617 | 2486 |
| 4 | 7244 | 2456 |
| 0 | 8066 | 2352 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-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 (* (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 (* (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 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
-6 |
(- (* -3/10 (pow x 2)) 6) |
(- (* (pow x 2) (- (* -11/1400 (pow x 2)) 3/10)) 6) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/126000 (pow x 2)) 11/1400)) 3/10)) 6) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
x |
x |
x |
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 (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) (- (* (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) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* x (- (* (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) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
(- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6) |
1/120 |
(+ 1/120 (* -1/5040 (pow x 2))) |
(+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))) |
(+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))) |
(* -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 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)) |
(* -1/36 (pow x 3)) |
(* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) |
(* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) |
(* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) |
-1/36 |
(- (* 1/14400 (pow x 4)) 1/36) |
(- (* 1/14400 (pow x 4)) 1/36) |
(- (* 1/14400 (pow x 4)) 1/36) |
1/14400 |
(+ 1/14400 (* -1/302400 (pow x 2))) |
(+ 1/14400 (* (pow x 2) (- (* 13/152409600 (pow x 2)) 1/302400))) |
(+ 1/14400 (* (pow x 2) (- (* (pow x 2) (+ 13/152409600 (* -1/914457600 (pow x 2)))) 1/302400))) |
(* -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 2)) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
(* 1/362880 (pow x 6)) |
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* 1/362880 (pow x 9)) |
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(/ 362880 (pow x 6)) |
(/ (+ 362880 (* 26127360 (/ 1 (pow x 2)))) (pow x 6)) |
(/ (+ 362880 (+ (* 26127360 (/ 1 (pow x 2))) (/ 783820800 (pow x 4)))) (pow x 6)) |
(/ (- (+ 362880 (+ (* 26127360 (/ 1 (pow x 2))) (/ 783820800 (pow x 4)))) (* 627056640 (/ 1 (pow x 6)))) (pow x 6)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
x |
x |
x |
x |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* 1/362880 (pow x 7)) |
(* (pow x 7) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/362880 (pow x 6)) |
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/362880 (pow x 4)) |
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 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 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))))) |
(* 1/14400 (pow x 7)) |
(* (pow x 7) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))) |
(* (pow x 7) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))) |
(* (pow x 7) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))) |
(* 1/14400 (pow x 4)) |
(* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))) |
(* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))) |
(* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))) |
(* 1/131681894400 (pow x 8)) |
(* (pow x 8) (- 1/131681894400 (* 1/914457600 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (* 1/914457600 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (+ (* 1/914457600 (/ 1 (pow x 2))) (* 1/302400 (/ 1 (pow x 6)))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* 1/362880 (pow x 9)) |
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
(* 1/362880 (pow x 6)) |
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* 1/362880 (pow x 9)) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(/ 362880 (pow x 6)) |
(/ (+ 362880 (* 26127360 (/ 1 (pow x 2)))) (pow x 6)) |
(/ (+ 362880 (+ (* 26127360 (/ 1 (pow x 2))) (/ 783820800 (pow x 4)))) (pow x 6)) |
(/ (- (+ 362880 (+ (* 26127360 (/ 1 (pow x 2))) (/ 783820800 (pow x 4)))) (* 627056640 (/ 1 (pow x 6)))) (pow x 6)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
x |
x |
x |
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 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -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))))) |
(* 1/362880 (pow x 7)) |
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* -1 (* (pow x 7) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* 1/362880 (pow x 6)) |
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/362880 (pow x 4)) |
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 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 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))) |
(* 1/14400 (pow x 7)) |
(* -1 (* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 1/14400))) |
(* -1 (* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 1/14400))) |
(* -1 (* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 1/14400))) |
(* 1/14400 (pow x 4)) |
(* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))) |
(* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))) |
(* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))) |
(* 1/131681894400 (pow x 8)) |
(* (pow x 8) (- 1/131681894400 (* 1/914457600 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (* 1/914457600 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (+ (* 1/914457600 (/ 1 (pow x 2))) (* 1/302400 (/ 1 (pow x 6)))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* 1/362880 (pow x 9)) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
| Outputs |
|---|
-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 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6) |
(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)) |
(* -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 (*.f64 x x) #s(literal 1/120 binary64) #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 (pow.f64 x #s(literal 3 binary64)) (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))) |
(* -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 (*.f64 x x) #s(literal 1/120 binary64) #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 (pow.f64 x #s(literal 3 binary64)) (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))) |
-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) (- (* -11/1400 (pow x 2)) 3/10)) 6) |
(fma.f64 (fma.f64 #s(literal -11/1400 binary64) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/126000 (pow x 2)) 11/1400)) 3/10)) 6) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
x |
x |
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 (*.f64 x x) #s(literal 1/120 binary64) #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 (pow.f64 x #s(literal 3 binary64)) (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))) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.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 (*.f64 x x) #s(literal 1/120 binary64) #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 (pow.f64 x #s(literal 3 binary64)) (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))) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* 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 (- (* (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)) x) |
(* x (- (* (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)) x) |
-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 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6) |
(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)) |
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 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))) |
(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)) |
(+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))) |
(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)) |
(* -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 (*.f64 x x) #s(literal 1/120 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 (*.f64 x x) #s(literal 1/120 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 (*.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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #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 (pow.f64 x #s(literal 3 binary64)) (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))) |
(* -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 (*.f64 x x) #s(literal 1/120 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 (*.f64 x x) #s(literal 1/120 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 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 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 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64)) |
(/ (- (* 1/120 (pow x 2)) 1/6) (pow x 2)) |
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(*.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(/ 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)) |
(* 1/362880 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/362880 binary64)) |
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(neg.f64 (-.f64 x (sin.f64 x))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(neg.f64 (-.f64 x (sin.f64 x))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(neg.f64 (-.f64 x (sin.f64 x))) |
(* 1/362880 (pow x 9)) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/362880 binary64)) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(/ 362880 (pow x 6)) |
(/.f64 #s(literal 362880 binary64) (pow.f64 x #s(literal 6 binary64))) |
(/ (+ 362880 (* 26127360 (/ 1 (pow x 2)))) (pow x 6)) |
(/.f64 (+.f64 (/.f64 #s(literal 26127360 binary64) (*.f64 x x)) #s(literal 362880 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(/ (+ 362880 (+ (* 26127360 (/ 1 (pow x 2))) (/ 783820800 (pow x 4)))) (pow x 6)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 783820800 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 362880 binary64)) (/.f64 #s(literal 26127360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(/ (- (+ 362880 (+ (* 26127360 (/ 1 (pow x 2))) (/ 783820800 (pow x 4)))) (* 627056640 (/ 1 (pow x 6)))) (pow x 6)) |
(/.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 783820800 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 362880 binary64)) (/.f64 #s(literal 26127360 binary64) (*.f64 x x))) (/.f64 #s(literal 627056640 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
x |
x |
x |
x |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(neg.f64 (-.f64 x (sin.f64 x))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(neg.f64 (-.f64 x (sin.f64 x))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(neg.f64 (-.f64 x (sin.f64 x))) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(neg.f64 (-.f64 x (sin.f64 x))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(neg.f64 (-.f64 x (sin.f64 x))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(neg.f64 (-.f64 x (sin.f64 x))) |
(* 1/362880 (pow x 7)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/362880 binary64)) |
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(* -1 (* (pow x 7) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(* 1/362880 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/362880 binary64)) |
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) |
(* 1/362880 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/362880 binary64)) |
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) |
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/362880 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/362880 binary64)) (pow.f64 x #s(literal 4 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 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(neg.f64 (-.f64 x (sin.f64 x))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(neg.f64 (-.f64 x (sin.f64 x))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(neg.f64 (-.f64 x (sin.f64 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 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64))) |
1/120 |
#s(literal 1/120 binary64) |
(- 1/120 (* 1/6 (/ 1 (pow x 2)))) |
(-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64)) |
(- 1/120 (* 1/6 (/ 1 (pow x 2)))) |
(-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64)) |
(- 1/120 (* 1/6 (/ 1 (pow x 2)))) |
(-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(neg.f64 (-.f64 x (sin.f64 x))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(neg.f64 (-.f64 x (sin.f64 x))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(neg.f64 (-.f64 x (sin.f64 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 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* 1/14400 (pow x 7)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/14400 binary64)) |
(* -1 (* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 1/14400))) |
(*.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 7 binary64))) |
(* -1 (* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 1/14400))) |
(*.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 7 binary64))) |
(* -1 (* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 1/14400))) |
(*.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 7 binary64))) |
(* 1/14400 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) |
(* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) |
(* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) |
(* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) |
(* 1/131681894400 (pow x 8)) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/131681894400 binary64)) |
(* (pow x 8) (- 1/131681894400 (* 1/914457600 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/131681894400 binary64) (/.f64 #s(literal 1/914457600 binary64) (*.f64 x x))) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (* 1/914457600 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 13/152409600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/131681894400 binary64)) (/.f64 #s(literal 1/914457600 binary64) (*.f64 x x))) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (+ (* 1/914457600 (/ 1 (pow x 2))) (* 1/302400 (/ 1 (pow x 6)))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 13/152409600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/131681894400 binary64)) (/.f64 #s(literal 1/914457600 binary64) (*.f64 x x))) (/.f64 #s(literal 1/302400 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 8 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* 1/362880 (pow x 9)) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/362880 binary64)) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(/ 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 425 |
| 0 | 85 | 474 |
| 1 | 335 | 315 |
| 2 | 2729 | 315 |
| 0 | 8283 | 307 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) |
#s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) |
(/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) |
(+.f64 #s(literal 0 binary64) x) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))) |
(*.f64 (neg.f64 x) x) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #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))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #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))) |
#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))) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 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)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 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))) |
(*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) |
(pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) |
(neg.f64 x) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #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)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
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|---|
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Compiled 39 862 to 4 055 computations (89.8% saved)
20 alts after pruning (18 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 230 | 10 | 1 240 |
| Fresh | 5 | 8 | 13 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 240 | 20 | 1 260 |
| Status | Accuracy | Program |
|---|---|---|
| 4.0% | (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 x) x) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) (-.f64 (*.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) | |
| 2.8% | (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 x (sin.f64 x)))) | |
| ▶ | 55.0% | (/.f64 (fma.f64 (neg.f64 x) x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 (sin.f64 x) x)) |
| 58.2% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 x) x) (*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))) | |
| ✓ | 69.4% | (-.f64 (sin.f64 x) x) |
| 97.9% | #s(approx (/ (+ (* (neg x) x) (pow (sin x) 2)) (+ (sin x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) | |
| 66.5% | #s(approx (- (sin x) x) (/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) (neg.f64 x)) (+.f64 #s(literal 0 binary64) x))) | |
| 98.4% | #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)) (*.f64 x x)) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) | |
| 98.6% | #s(approx (- (sin x) x) (/.f64 (*.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #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)))) | |
| 6.5% | #s(approx (- (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) | |
| 98.4% | #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)))) | |
| 98.4% | #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) x))) | |
| 98.9% | #s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 #s(approx (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (fma.f64 (fma.f64 #s(literal 13/152409600 binary64) (*.f64 x x) #s(literal -1/302400 binary64)) (*.f64 x x) #s(literal 1/14400 binary64))) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 x #s(literal 3 binary64)))) | |
| ▶ | 99.0% | #s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (pow.f64 x #s(literal 3 binary64)))) |
| ▶ | 98.8% | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (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))) |
| 98.4% | #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)) | |
| 98.9% | #s(approx (- (sin x) x) (*.f64 (*.f64 (*.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)) x) x) x)) | |
| ▶ | 97.9% | #s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
| ✓ | 6.5% | #s(approx (- (sin x) x) (neg.f64 x)) |
| ▶ | 33.6% | #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 420 computations (36.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (fma.f64 (neg.f64 x) x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) | |
| cost-diff | 0 | (/.f64 (fma.f64 (neg.f64 x) x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 (sin.f64 x) x)) | |
| cost-diff | 128 | (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) | |
| cost-diff | 0 | #s(approx (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) | |
| cost-diff | 0 | (*.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))) | |
| cost-diff | 0 | #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)))) | |
| cost-diff | 0 | #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))))) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (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 | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (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))) | |
| cost-diff | 320 | (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (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)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))) | |
| cost-diff | 0 | #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (pow.f64 x #s(literal 3 binary64)))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 724 |
| 0 | 107 | 716 |
| 1 | 190 | 712 |
| 2 | 353 | 712 |
| 3 | 860 | 695 |
| 4 | 2494 | 695 |
| 5 | 5171 | 695 |
| 6 | 6923 | 695 |
| 0 | 8035 | 661 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) |
#s(literal 1 binary64) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)) |
(fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) |
(fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) |
#s(literal -17/126000 binary64) |
(*.f64 x x) |
x |
#s(literal -11/1400 binary64) |
#s(literal -3/10 binary64) |
#s(literal -6 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
(*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)) |
(*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) |
#s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
x |
(*.f64 x x) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (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))) |
(*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (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)) |
(*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (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 (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (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)) |
#s(literal -1/5040 binary64) |
(*.f64 x x) |
x |
#s(literal 1/120 binary64) |
#s(literal -1/6 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 (* (+ (* (* 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)))) |
(*.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 (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(/.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) |
(/.f64 (fma.f64 (neg.f64 x) x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 (sin.f64 x) x)) |
(fma.f64 (neg.f64 x) x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) |
(neg.f64 x) |
x |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) |
(cos.f64 (+.f64 x x)) |
(+.f64 x x) |
(+.f64 (sin.f64 x) x) |
(sin.f64 x) |
| Outputs |
|---|
#s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/126000 binary64) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/126000 binary64) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/126000 binary64) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) |
#s(literal 1 binary64) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/126000 binary64) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/126000 binary64) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)) |
(fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/126000 binary64) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) |
(fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -17/126000 binary64) #s(literal -11/1400 binary64)) |
#s(literal -17/126000 binary64) |
(*.f64 x x) |
x |
#s(literal -11/1400 binary64) |
#s(literal -3/10 binary64) |
#s(literal -6 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)) |
(*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) |
#s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
x |
(*.f64 x x) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (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 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (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 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (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)) |
(*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (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 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -1/6 binary64) x)) |
(fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (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 (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (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)) |
#s(literal -1/5040 binary64) |
(*.f64 x x) |
x |
#s(literal 1/120 binary64) |
#s(literal -1/6 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) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(approx (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 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 (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(approx (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))) |
(*.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))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(approx (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
#s(approx (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(/.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) |
(/.f64 (fma.f64 (neg.f64 x) x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 (sin.f64 x) x)) |
(/.f64 (fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1/2 binary64))) (neg.f64 (+.f64 (sin.f64 x) x))) |
(fma.f64 (neg.f64 x) x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1/2 binary64))) |
(neg.f64 x) |
x |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) |
(*.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(cos.f64 (+.f64 x x)) |
(cos.f64 (*.f64 x #s(literal -2 binary64))) |
(+.f64 x x) |
(*.f64 #s(literal 2 binary64) x) |
(+.f64 (sin.f64 x) x) |
(sin.f64 x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (+.f64 (sin.f64 x) x) | |
| accuracy | 5.439556854875571 | (/.f64 (fma.f64 (neg.f64 x) x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 (sin.f64 x) x)) | |
| accuracy | 25.852120811183006 | (fma.f64 (neg.f64 x) x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) | |
| accuracy | 27.405360703815663 | (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) | |
| accuracy | 0.203125 | (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) | |
| accuracy | 0.856434056113439 | #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))))) | |
| accuracy | 1.2537640284580605 | #s(approx (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) | |
| accuracy | 40.781174453892206 | (*.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))) | |
| accuracy | 0.11328125 | (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (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)) | |
| accuracy | 0.35546875 | (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) x) | |
| accuracy | 0.5660246448401456 | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (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))) | |
| accuracy | 0.8210313323380249 | #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) | |
| accuracy | 0.11328125 | (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)) | |
| accuracy | 0.35546875 | (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) | |
| accuracy | 0.5660246448401456 | #s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))) | |
| accuracy | 1.245481519063376 | #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) | |
| accuracy | 0.01171875 | (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) | |
| accuracy | 0.14453125 | (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 0.5660246448401456 | #s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (pow.f64 x #s(literal 3 binary64)))) | |
| accuracy | 0.5795331780923407 | #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64))) |
| 270.0ms | 238× | 1 | valid |
| 15.0ms | 12× | 2 | valid |
| 3.0ms | 6× | 0 | valid |
Compiled 821 to 109 computations (86.7% saved)
ival-mult: 49.0ms (20.1% of total)const: 49.0ms (20.1% of total)ival-cos: 40.0ms (16.4% of total)ival-add: 30.0ms (12.3% of total)adjust: 29.0ms (11.9% of total)ival-div: 17.0ms (7% of total)ival-sub: 8.0ms (3.3% of total)ival-pow: 8.0ms (3.3% of total)ival-sin: 7.0ms (2.9% of total)ival-pow2: 5.0ms (2% of total)exact: 1.0ms (0.4% of total)ival-neg: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (pow.f64 x #s(literal 3 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64))) (patch #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))) (patch #s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (patch (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) (patch #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (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)) (patch (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (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)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (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))) (patch #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (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))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (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 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (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 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (patch #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) #<representation binary64>) () ()) |
#s(alt #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))))) (patch #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))))) #<representation binary64>) () ()) |
#s(alt #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)))) (patch #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)))) #<representation binary64>) () ()) |
#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (patch #s(approx (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (patch (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (neg.f64 x) x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 (sin.f64 x) x)) (patch (/.f64 (fma.f64 (neg.f64 x) x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 (sin.f64 x) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 x) x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (patch (fma.f64 (neg.f64 x) x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (patch (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)) (patch (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) x) (patch (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) 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 (+.f64 (sin.f64 x) x) (patch (+.f64 (sin.f64 x) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (pow.f64 x #s(literal 3 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -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 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (pow.f64 x #s(literal 3 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -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 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (pow.f64 x #s(literal 3 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -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 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (pow.f64 x #s(literal 3 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (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 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -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 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -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 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -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 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt -1/6 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/120 (pow x 2)) 1/6) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) #<representation binary64>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | ((* (/ 1 (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36))) (pow x 3)) (- (sin x) x) (/ 1 (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36))) (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (- (sin x) x) (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (* x x) (* (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (* x x)) (- (sin x) x) (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (* (- 1/120 (/ 1/6 (* x x))) (pow x 5)) (- 1/120 (/ 1/6 (* x x))) (- 1/2 (* 1/2 (cos (+ x x)))) (/ (+ (* (neg x) x) (- 1/2 (* 1/2 (cos (+ x x))))) (+ (sin x) x)) (+ (* (neg x) x) (- 1/2 (* 1/2 (cos (+ x x))))) (neg x) (+ (* (+ (* -17/126000 (* x x)) -11/1400) (* x x)) -3/10) (* (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (* x x)) (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (/ -1/6 (* x x)) (+ (sin x) x)) |
| 4.0ms | x | @ | -inf | ((* (/ 1 (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36))) (pow x 3)) (- (sin x) x) (/ 1 (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36))) (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (- (sin x) x) (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (* x x) (* (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (* x x)) (- (sin x) x) (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (* (- 1/120 (/ 1/6 (* x x))) (pow x 5)) (- 1/120 (/ 1/6 (* x x))) (- 1/2 (* 1/2 (cos (+ x x)))) (/ (+ (* (neg x) x) (- 1/2 (* 1/2 (cos (+ x x))))) (+ (sin x) x)) (+ (* (neg x) x) (- 1/2 (* 1/2 (cos (+ x x))))) (neg x) (+ (* (+ (* -17/126000 (* x x)) -11/1400) (* x x)) -3/10) (* (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (* x x)) (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (/ -1/6 (* x x)) (+ (sin x) x)) |
| 3.0ms | x | @ | 0 | ((* (/ 1 (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36))) (pow x 3)) (- (sin x) x) (/ 1 (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36))) (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (- (sin x) x) (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (* x x) (* (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (* x x)) (- (sin x) x) (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (* (- 1/120 (/ 1/6 (* x x))) (pow x 5)) (- 1/120 (/ 1/6 (* x x))) (- 1/2 (* 1/2 (cos (+ x x)))) (/ (+ (* (neg x) x) (- 1/2 (* 1/2 (cos (+ x x))))) (+ (sin x) x)) (+ (* (neg x) x) (- 1/2 (* 1/2 (cos (+ x x))))) (neg x) (+ (* (+ (* -17/126000 (* x x)) -11/1400) (* x x)) -3/10) (* (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (* x x)) (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (/ -1/6 (* x x)) (+ (sin x) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 255 | 3259 |
| 1 | 704 | 3250 |
| 2 | 2016 | 3168 |
| 3 | 6553 | 3142 |
| 0 | 8109 | 2990 |
| 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)) |
(* -1/6 (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) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
(- (* (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) (- (* -11/1400 (pow x 2)) 3/10)) 6) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/126000 (pow x 2)) 11/1400)) 3/10)) 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) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* x (- (* (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) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
(- (* (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 (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 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 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 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6) |
1/120 |
(+ 1/120 (* -1/5040 (pow x 2))) |
(+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))) |
(+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))) |
(* -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 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)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)))) |
(* -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)) |
(* -1/3 (pow x 4)) |
(* (pow x 4) (- (* 2/45 (pow x 2)) 1/3)) |
(* (pow x 4) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)) |
(* (pow x 4) (- (* (pow x 2) (+ 2/45 (* (pow x 2) (- (* 2/14175 (pow x 2)) 1/315)))) 1/3)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
-3/10 |
(- (* -11/1400 (pow x 2)) 3/10) |
(- (* (pow x 2) (- (* -17/126000 (pow x 2)) 11/1400)) 3/10) |
(- (* (pow x 2) (- (* -17/126000 (pow x 2)) 11/1400)) 3/10) |
(* -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) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* x (- (* (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)) |
(* 2 x) |
(* x (+ 2 (* -1/6 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(* 1/362880 (pow x 9)) |
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* 1/362880 (pow x 6)) |
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(/ 362880 (pow x 6)) |
(/ (+ 362880 (* 26127360 (/ 1 (pow x 2)))) (pow x 6)) |
(/ (+ 362880 (+ (* 26127360 (/ 1 (pow x 2))) (/ 783820800 (pow x 4)))) (pow x 6)) |
(/ (- (+ 362880 (+ (* 26127360 (/ 1 (pow x 2))) (/ 783820800 (pow x 4)))) (* 627056640 (/ 1 (pow x 6)))) (pow x 6)) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* 1/362880 (pow x 7)) |
(* (pow x 7) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/362880 (pow x 6)) |
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/362880 (pow x 9)) |
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* 1/362880 (pow x 6)) |
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/362880 (pow x 4)) |
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 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 (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)))) |
(- 1/2 (* 1/2 (cos (* 2 x)))) |
(- 1/2 (* 1/2 (cos (* 2 x)))) |
(- 1/2 (* 1/2 (cos (* 2 x)))) |
(- 1/2 (* 1/2 (cos (* 2 x)))) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ 1/2 (pow x 2)) (+ 1 (+ (* -1 (/ (sin x) x)) (+ (* 1/2 (/ (cos (* 2 x)) (pow x 2))) (/ (pow (sin x) 2) (pow x 2))))))) |
(* x (- (+ (* -1 (/ (* (sin x) (- 1/2 (+ (* 1/2 (cos (* 2 x))) (pow (sin x) 2)))) (pow x 3))) (/ 1/2 (pow x 2))) (+ 1 (+ (* -1 (/ (sin x) x)) (+ (* 1/2 (/ (cos (* 2 x)) (pow x 2))) (/ (pow (sin x) 2) (pow x 2))))))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2)))))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2)))))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2)))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -17/126000 (pow x 4)) |
(* -1 (* (pow x 4) (+ 17/126000 (* 11/1400 (/ 1 (pow x 2)))))) |
(* (pow x 4) (- (* -1 (/ (+ 11/1400 (* 3/10 (/ 1 (pow x 2)))) (pow x 2))) 17/126000)) |
(* (pow x 4) (- (* -1 (/ (+ 11/1400 (* 3/10 (/ 1 (pow x 2)))) (pow x 2))) 17/126000)) |
(* 1/362880 (pow x 9)) |
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/362880 (pow x 7)) |
(* (pow x 7) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(/ -1/6 (pow x 2)) |
(/ -1/6 (pow x 2)) |
(/ -1/6 (pow x 2)) |
(/ -1/6 (pow x 2)) |
x |
(* x (+ 1 (/ (sin x) x))) |
(* x (+ 1 (/ (sin x) x))) |
(* x (+ 1 (/ (sin x) x))) |
(* 1/362880 (pow x 9)) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (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))))) |
(* 1/362880 (pow x 6)) |
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(/ 362880 (pow x 6)) |
(/ (+ 362880 (* 26127360 (/ 1 (pow x 2)))) (pow x 6)) |
(/ (+ 362880 (+ (* 26127360 (/ 1 (pow x 2))) (/ 783820800 (pow x 4)))) (pow x 6)) |
(/ (- (+ 362880 (+ (* 26127360 (/ 1 (pow x 2))) (/ 783820800 (pow x 4)))) (* 627056640 (/ 1 (pow x 6)))) (pow x 6)) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* 1/362880 (pow x 7)) |
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* -1 (* (pow x 7) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* 1/362880 (pow x 6)) |
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/362880 (pow x 9)) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (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))))) |
(* 1/362880 (pow x 6)) |
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/362880 (pow x 4)) |
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 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))))) |
(* 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))) |
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)))) |
(- 1/2 (* 1/2 (cos (neg (* -2 x))))) |
(- 1/2 (* 1/2 (cos (neg (* -2 x))))) |
(- 1/2 (* 1/2 (cos (neg (* -2 x))))) |
(- 1/2 (* 1/2 (cos (neg (* -2 x))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (* -1 (pow (sin x) 2))) x)) (* -1 (sin x))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (* -1 (/ (* (sin x) (- (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (* -1 (pow (sin x) 2)))) x))) (* -1 (pow (sin x) 2))) x)) (* -1 (sin x))) x))))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (pow x 2)))))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (pow x 2)))))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (pow x 2)))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -17/126000 (pow x 4)) |
(* -1 (* (pow x 4) (+ 17/126000 (* 11/1400 (/ 1 (pow x 2)))))) |
(* (pow x 4) (- (* -1 (/ (+ 11/1400 (* 3/10 (/ 1 (pow x 2)))) (pow x 2))) 17/126000)) |
(* (pow x 4) (- (* -1 (/ (+ 11/1400 (* 3/10 (/ 1 (pow x 2)))) (pow x 2))) 17/126000)) |
(* 1/362880 (pow x 9)) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* 1/362880 (pow x 7)) |
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* -1 (* (pow x 7) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(/ -1/6 (pow x 2)) |
(/ -1/6 (pow x 2)) |
(/ -1/6 (pow x 2)) |
(/ -1/6 (pow x 2)) |
x |
(* -1 (* x (- (* -1 (/ (sin x) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin x) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin x) x)) 1))) |
| 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))) |
(* -1/6 (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 |
#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 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6) |
(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)) |
-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) (- (* -11/1400 (pow x 2)) 3/10)) 6) |
(fma.f64 (fma.f64 #s(literal -11/1400 binary64) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/126000 (pow x 2)) 11/1400)) 3/10)) 6) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -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 #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 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* 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 (- (* (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)) x) |
(* x (- (* (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)) x) |
-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 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6) |
(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 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 (* (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)) |
(- (* (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 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6) |
(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)) |
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 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))) |
(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)) |
(+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))) |
(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)) |
(* -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 (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))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) x) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 x x) #s(literal 2/45 binary64)) (*.f64 x x) #s(literal -1/3 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 (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))) |
(* -1/3 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64)) |
(* (pow x 4) (- (* 2/45 (pow x 2)) 1/3)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 2/45 binary64) (*.f64 x x) #s(literal -1/3 binary64))) |
(* (pow x 4) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 x x) #s(literal 2/45 binary64)) (*.f64 x x) #s(literal -1/3 binary64))) |
(* (pow x 4) (- (* (pow x 2) (+ 2/45 (* (pow x 2) (- (* 2/14175 (pow x 2)) 1/315)))) 1/3)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/14175 binary64) (*.f64 x x) #s(literal -1/315 binary64)) (*.f64 x x) #s(literal 2/45 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
-3/10 |
#s(literal -3/10 binary64) |
(- (* -11/1400 (pow x 2)) 3/10) |
(fma.f64 #s(literal -11/1400 binary64) (*.f64 x x) #s(literal -3/10 binary64)) |
(- (* (pow x 2) (- (* -17/126000 (pow x 2)) 11/1400)) 3/10) |
(fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) |
(- (* (pow x 2) (- (* -17/126000 (pow x 2)) 11/1400)) 3/10) |
(fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 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)) |
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(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(* -1 (* (pow x 7) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(/ -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)) |
x |
(* -1 (* x (- (* -1 (/ (sin x) x)) 1))) |
(fma.f64 (/.f64 (sin.f64 x) x) x x) |
(* -1 (* x (- (* -1 (/ (sin x) x)) 1))) |
(fma.f64 (/.f64 (sin.f64 x) x) x x) |
(* -1 (* x (- (* -1 (/ (sin x) x)) 1))) |
(fma.f64 (/.f64 (sin.f64 x) x) x x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 648 |
| 0 | 107 | 640 |
| 1 | 445 | 535 |
| 2 | 3098 | 535 |
| 0 | 8755 | 495 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
#s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
(*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) |
#s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) |
(*.f64 x x) |
(*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (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 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (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))) |
(fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (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 (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 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 (* (+ (* (* 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)))) |
(*.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 (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) |
(/.f64 (fma.f64 (neg.f64 x) x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 (sin.f64 x) x)) |
(fma.f64 (neg.f64 x) x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) |
(neg.f64 x) |
(fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) |
(*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)) |
(*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (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 #s(literal -1/6 binary64) (*.f64 x x)) |
(+.f64 (sin.f64 x) x) |
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Compiled 16 592 to 2 038 computations (87.7% saved)
23 alts after pruning (17 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 776 | 6 | 782 |
| Fresh | 2 | 11 | 13 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 779 | 23 | 802 |
| Status | Accuracy | Program |
|---|---|---|
| 4.0% | (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 x) x) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) (-.f64 (*.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) | |
| 2.1% | (/.f64 (fma.f64 (neg.f64 x) x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 x (sin.f64 x)))) | |
| ✓ | 55.0% | (/.f64 (fma.f64 (neg.f64 x) x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 (sin.f64 x) x)) |
| 58.2% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 x) x) (*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))) | |
| ✓ | 69.4% | (-.f64 (sin.f64 x) x) |
| 97.9% | #s(approx (/ (+ (* (neg x) x) (pow (sin x) 2)) (+ (sin x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) | |
| 99.1% | #s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/126000 binary64) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64))))) | |
| 66.5% | #s(approx (- (sin x) x) (/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) (neg.f64 x)) (+.f64 #s(literal 0 binary64) x))) | |
| 98.4% | #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)) (*.f64 x x)) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) | |
| 98.6% | #s(approx (- (sin x) x) (/.f64 (*.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #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)))) | |
| 6.5% | #s(approx (- (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) | |
| 98.4% | #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)))) | |
| 98.4% | #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) x))) | |
| 98.9% | #s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 #s(approx (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (fma.f64 (fma.f64 #s(literal 13/152409600 binary64) (*.f64 x x) #s(literal -1/302400 binary64)) (*.f64 x x) #s(literal 1/14400 binary64))) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 x #s(literal 3 binary64)))) | |
| 98.9% | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (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)) x) (*.f64 x x))) | |
| 98.8% | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)) | |
| ✓ | 98.8% | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (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))) |
| 98.4% | #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)) | |
| 98.0% | #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x)) | |
| 97.9% | #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64))) x)) | |
| ✓ | 97.9% | #s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
| ✓ | 6.5% | #s(approx (- (sin x) x) (neg.f64 x)) |
| ✓ | 33.6% | #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 1 209 to 448 computations (62.9% saved)
| Inputs |
|---|
#s(approx (- (sin x) x) (neg.f64 x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64))) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x)) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))) |
#s(approx (- (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) 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 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (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 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #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 (*.f64 (neg.f64 x) x) (neg.f64 x)) (neg.f64 x)) (+.f64 #s(literal 0 binary64) x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.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)) x) x) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (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)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #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 (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)) (*.f64 (*.f64 x 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 (/ (+ (* (neg x) x) (pow (sin x) 2)) (+ (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 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/2 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) (*.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 (*.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #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 #s(approx (+ (* (* x x) 1/120) -1/6) (*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- (sin x) x) (*.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)))) |
#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)) (*.f64 x x)) x) (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 binary64)) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/126000 binary64) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64))))) |
#s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (pow.f64 x #s(literal 3 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 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) |
(/.f64 (fma.f64 (neg.f64 x) x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 (sin.f64 x) x)) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 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 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 #s(approx (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (fma.f64 (fma.f64 #s(literal 13/152409600 binary64) (*.f64 x x) #s(literal -1/302400 binary64)) (*.f64 x x) #s(literal 1/14400 binary64))) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 x) x) (*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))) |
#s(approx (- (sin x) x) (*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #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 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (fma.f64 (neg.f64 x) x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 x (sin.f64 x)))) |
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 x (sin.f64 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))))) |
(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 (/.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 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) (-.f64 (*.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) |
| Outputs |
|---|
#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/126000 binary64) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64))))) |
2 calls:
| 12.0ms | x |
| 10.0ms | (-.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 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64))) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x)) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))) |
#s(approx (- (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) 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 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (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 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #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 (*.f64 (neg.f64 x) x) (neg.f64 x)) (neg.f64 x)) (+.f64 #s(literal 0 binary64) x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.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)) x) x) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (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)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #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 (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)) (*.f64 (*.f64 x 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 (/ (+ (* (neg x) x) (pow (sin x) 2)) (+ (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 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/2 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) (*.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 (*.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #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 #s(approx (+ (* (* x x) 1/120) -1/6) (*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- (sin x) x) (*.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)))) |
#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)) (*.f64 x x)) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
| Outputs |
|---|
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.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)) x) x) x)) |
2 calls:
| 8.0ms | x |
| 7.0ms | (-.f64 (sin.f64 x) 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 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64))) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x)) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))) |
#s(approx (- (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) 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 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (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 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #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 (*.f64 (neg.f64 x) x) (neg.f64 x)) (neg.f64 x)) (+.f64 #s(literal 0 binary64) x))) |
| Outputs |
|---|
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)) |
2 calls:
| 4.0ms | x |
| 3.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 1 | x |
| 98.8% | 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 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64))) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x)) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))) |
#s(approx (- (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) 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 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (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 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (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 |
|---|---|---|
| 98.8% | 1 | x |
| 98.8% | 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 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64))) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x)) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))) |
#s(approx (- (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) 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 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) x))) |
| Outputs |
|---|
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) x))) |
2 calls:
| 4.0ms | x |
| 3.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 1 | (-.f64 (sin.f64 x) x) |
| 98.4% | 1 | x |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (- (sin x) x) (neg.f64 x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64))) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x)) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))) |
#s(approx (- (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) 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)) |
| Outputs |
|---|
#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))) |
2 calls:
| 3.0ms | x |
| 3.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 1 | x |
| 98.4% | 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 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64))) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x)) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))) |
#s(approx (- (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) |
| Outputs |
|---|
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x)) |
2 calls:
| 3.0ms | x |
| 2.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 1 | (-.f64 (sin.f64 x) x) |
| 98.0% | 1 | x |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (- (sin x) x) (neg.f64 x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64))) x)) |
| Outputs |
|---|
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
2 calls:
| 2.0ms | x |
| 2.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 1 | x |
| 97.9% | 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:
| 2.0ms | x |
| 1.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 6.5% | 1 | x |
| 6.5% | 1 | (-.f64 (sin.f64 x) x) |
Compiled 5 to 4 computations (20% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 271 |
| 1 | 89 | 271 |
| 2 | 91 | 271 |
| 3 | 92 | 271 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/126000 binary64) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64))))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.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)) x) x) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (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 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #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))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (neg.f64 x)) |
| Outputs |
|---|
#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/126000 binary64) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64))))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.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)) x) x) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (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 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #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) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (neg.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 184 | 2582 |
| 1 | 435 | 2582 |
| 2 | 1208 | 2546 |
| 3 | 3617 | 2486 |
| 4 | 7244 | 2456 |
| 0 | 8066 | 2352 |
| 0 | 53 | 425 |
| 0 | 85 | 474 |
| 1 | 335 | 315 |
| 2 | 2729 | 315 |
| 0 | 8283 | 307 |
| 0 | 31 | 228 |
| 0 | 56 | 211 |
| 1 | 234 | 193 |
| 2 | 1898 | 193 |
| 0 | 8433 | 193 |
| 0 | 72 | 648 |
| 0 | 107 | 640 |
| 1 | 445 | 535 |
| 2 | 3098 | 535 |
| 0 | 8755 | 495 |
| 0 | 47 | 170 |
| 1 | 121 | 164 |
| 2 | 313 | 164 |
| 3 | 939 | 152 |
| 4 | 2033 | 140 |
| 5 | 3880 | 140 |
| 0 | 8027 | 128 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 368 to 220 computations (40.2% saved)
(negabs x)
Compiled 410 to 208 computations (49.3% saved)
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