
Time bar (total: 7.1s)
| 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)
| 559.0ms | 7 191× | 1 | valid |
| 95.0ms | 548× | 2 | valid |
| 22.0ms | 517× | 0 | valid |
ival-sin: 218.0ms (46.3% of total)adjust: 104.0ms (22.1% of total)ival-sub: 85.0ms (18.1% of total)ival-<: 39.0ms (8.3% of total)ival-and: 11.0ms (2.3% of total)exact: 11.0ms (2.3% of total)ival-assert: 3.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 93 | 0 | - | 0 | - | (-.f64 (sin.f64 x) x) |
| 0 | 0 | - | 0 | - | (sin.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (sin.f64 x) x) | cancellation | 93 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 93 | 0 |
| - | 0 | 163 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 93 | 0 | 0 |
| - | 0 | 0 | 163 |
| number | freq |
|---|---|
| 0 | 163 |
| 1 | 93 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 34.0ms | 448× | 1 | valid |
| 6.0ms | 44× | 2 | valid |
| 1.0ms | 20× | 0 | valid |
Compiled 22 to 13 computations (40.9% saved)
ival-sin: 13.0ms (53.2% of total)adjust: 6.0ms (24.6% of total)ival-sub: 5.0ms (20.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 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 |
|---|---|---|
| ▶ | 67.8% | (-.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 | 20.57773670375313 | (-.f64 (sin.f64 x) x) |
| 17.0ms | 224× | 1 | valid |
| 3.0ms | 22× | 2 | valid |
| 0.0ms | 10× | 0 | valid |
Compiled 9 to 5 computations (44.4% saved)
ival-sin: 6.0ms (46.5% of total)adjust: 4.0ms (31% of total)ival-sub: 3.0ms (23.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ()) |
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1/6 (pow x 2)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ (sin x) x) 1)) (taylor inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ (sin x) x) 1)) (taylor inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ (sin x) x) 1)) (taylor inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | ((- (sin x) x) (sin x)) |
| 0.0ms | x | @ | inf | ((- (sin x) x) (sin x)) |
| 0.0ms | x | @ | -inf | ((- (sin x) x) (sin x)) |
| 1× | egg-herbie |
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)
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 186 | 11 | 197 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 186 | 12 | 198 |
| Status | Accuracy | Program |
|---|---|---|
| 2.9% | (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 (sin.f64 x) x) x) (-.f64 (*.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) | |
| 5.0% | (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) | |
| ▶ | 67.9% | (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) |
| 67.8% | (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (sin.f64 x) x) #s(literal -1 binary64))) | |
| ▶ | 5.0% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
| 5.0% | (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) | |
| 23.3% | (-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (+.f64 (sin.f64 x) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (+.f64 (sin.f64 x) x))) | |
| ✓ | 67.8% | (-.f64 (sin.f64 x) x) |
| ▶ | 99.1% | #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)))) |
| ▶ | 98.7% | #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
| 98.3% | #s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) | |
| ▶ | 6.3% | #s(approx (- (sin x) x) (neg.f64 x)) |
Compiled 466 to 247 computations (47% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 (sin.f64 x) x) | |
| cost-diff | 0 | (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) | |
| cost-diff | 0 | (pow.f64 (sin.f64 x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) | |
| cost-diff | 14208 | (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 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: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 273 |
| 0 | 62 | 273 |
| 1 | 111 | 273 |
| 2 | 247 | 271 |
| 3 | 628 | 271 |
| 4 | 1684 | 261 |
| 5 | 4755 | 261 |
| 0 | 8205 | 261 |
| 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 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) |
(-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(*.f64 x x) |
x |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(sin.f64 x) |
#s(literal 2 binary64) |
(-.f64 (neg.f64 x) (sin.f64 x)) |
(neg.f64 x) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) |
(+.f64 (sin.f64 x) x) |
(sin.f64 x) |
x |
(fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(pow.f64 (sin.f64 x) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(pow.f64 x #s(literal 4 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 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) |
(-.f64 (sin.f64 x) x) |
(-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(*.f64 x x) |
x |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(sin.f64 x) |
#s(literal 2 binary64) |
(-.f64 (neg.f64 x) (sin.f64 x)) |
(neg.f64 (+.f64 (sin.f64 x) x)) |
(neg.f64 x) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x)) |
(+.f64 (sin.f64 x) x) |
(sin.f64 x) |
x |
(fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(pow.f64 (sin.f64 x) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.10546875 | (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) | |
| accuracy | 0.606320082321176 | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) | |
| accuracy | 10.862721928054832 | (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 49.17216491660806 | (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) | |
| accuracy | 0.01171875 | (-.f64 (neg.f64 x) (sin.f64 x)) | |
| accuracy | 0.015625 | (pow.f64 (sin.f64 x) #s(literal 2 binary64)) | |
| accuracy | 5.623689701854351 | (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) | |
| accuracy | 14.757573746912357 | (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.0078125 | (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) | |
| accuracy | 0.1328125 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 0.6869056487807796 | #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 | 59.9553624895047 | #s(approx (- (sin x) x) (neg.f64 x)) | |
| accuracy | 0.00390625 | (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)) | |
| accuracy | 0.0078125 | (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 | 0.13671875 | (*.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 | 0.48160700444809523 | #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)))) |
| 166.0ms | 146× | 2 | valid |
| 56.0ms | 81× | 1 | valid |
| 31.0ms | 22× | 3 | valid |
| 2.0ms | 7× | 0 | valid |
Compiled 255 to 38 computations (85.1% saved)
ival-sin: 52.0ms (25.9% of total)adjust: 35.0ms (17.4% of total)ival-mult: 30.0ms (14.9% of total)const: 21.0ms (10.4% of total)ival-add: 15.0ms (7.5% of total)ival-pow: 14.0ms (7% of total)ival-sub: 13.0ms (6.5% of total)ival-div: 9.0ms (4.5% of total)ival-pow2: 8.0ms (4% of total)exact: 1.0ms (0.5% of total)ival-neg: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 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 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) (patch (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (patch (-.f64 (*.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 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (patch (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (patch (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (+.f64 (sin.f64 x) x) (patch (+.f64 (sin.f64 x) x) #<representation binary64>) () ()) |
#s(alt (-.f64 (neg.f64 x) (sin.f64 x)) (patch (-.f64 (neg.f64 x) (sin.f64 x)) #<representation binary64>) () ()) |
#s(alt (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (patch (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 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 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) (patch (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) (patch (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.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 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) (patch (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.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 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) (patch (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (pow x 4)) (taylor 0 x) (#s(alt (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (patch (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/3 (* -2/45 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (patch (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45)))) (taylor 0 x) (#s(alt (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (patch (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 1/315 (* -2/14175 (pow x 2)))) 2/45)))) (taylor 0 x) (#s(alt (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (patch (-.f64 (*.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 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 3) x)) (+ (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x) (/ (pow (sin x) 3) x))) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x)) (* -1 (sin x))) x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) #<representation binary64>) () ())) ()) |
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#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (patch (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ (sin x) (/ (pow (sin x) 2) x)) x)) 1))) (taylor -inf x) (#s(alt (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (patch (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt x (taylor -inf x) (#s(alt (+.f64 (sin.f64 x) x) (patch (+.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (/ (sin x) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (sin.f64 x) x) (patch (+.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (sin x) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (sin.f64 x) x) (patch (+.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 (neg.f64 x) (sin.f64 x)) (patch (-.f64 (neg.f64 x) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (/ (sin x) x)))) (taylor -inf x) (#s(alt (-.f64 (neg.f64 x) (sin.f64 x)) (patch (-.f64 (neg.f64 x) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (/ (sin x) x)))) (taylor -inf x) (#s(alt (-.f64 (neg.f64 x) (sin.f64 x)) (patch (-.f64 (neg.f64 x) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (/ (sin x) x)))) (taylor -inf x) (#s(alt (-.f64 (neg.f64 x) (sin.f64 x)) (patch (-.f64 (neg.f64 x) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 4)) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (patch (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1)) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (patch (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1)) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (patch (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1)) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (patch (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 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) (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (- (* x x) (pow (sin x) 2)) (pow (sin x) 2) (/ 1 (/ (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (- (pow (sin x) 4) (pow x 4)))) (/ (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (- (pow (sin x) 4) (pow x 4))) (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (+ (sin x) x) (- (neg x) (sin x)) (- (pow (sin x) 4) (pow x 4))) |
| 4.0ms | 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) (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (- (* x x) (pow (sin x) 2)) (pow (sin x) 2) (/ 1 (/ (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (- (pow (sin x) 4) (pow x 4)))) (/ (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (- (pow (sin x) 4) (pow x 4))) (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (+ (sin x) x) (- (neg x) (sin x)) (- (pow (sin x) 4) (pow x 4))) |
| 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) (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (- (* x x) (pow (sin x) 2)) (pow (sin x) 2) (/ 1 (/ (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (- (pow (sin x) 4) (pow x 4)))) (/ (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (- (pow (sin x) 4) (pow x 4))) (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (+ (sin x) x) (- (neg x) (sin x)) (- (pow (sin x) 4) (pow x 4))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 324 | 2207 |
| 1 | 913 | 2194 |
| 2 | 2817 | 2132 |
| 3 | 7390 | 2132 |
| 0 | 8333 | 2019 |
| 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) (+ 1/3 (* -2/45 (pow x 2)))) |
(* (pow x 4) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45)))) |
(* (pow x 4) (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 1/315 (* -2/14175 (pow x 2)))) 2/45)))) |
(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)) |
(/ -6 (pow x 3)) |
(/ (- (* -3/10 (pow x 2)) 6) (pow x 3)) |
(/ (- (* (pow x 2) (- (* -11/1400 (pow x 2)) 3/10)) 6) (pow x 3)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -17/126000 (pow x 2)) 11/1400)) 3/10)) 6) (pow x 3)) |
(* 4 (pow x 3)) |
(* (pow x 3) (+ 4 (* -1 (pow x 2)))) |
(* (pow x 3) (+ 4 (* (pow x 2) (- (* 29/180 (pow x 2)) 1)))) |
(* (pow x 3) (+ 4 (* (pow x 2) (- (* (pow x 2) (+ 29/180 (* -16/945 (pow x 2)))) 1)))) |
(* 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)))) |
(* -2 x) |
(* x (- (* 1/6 (pow x 2)) 2)) |
(* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 2)) |
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 2)) |
(* -2/3 (pow x 6)) |
(* (pow x 6) (- (* 1/5 (pow x 2)) 2/3)) |
(* (pow x 6) (- (* (pow x 2) (+ 1/5 (* -34/945 (pow x 2)))) 2/3)) |
(* (pow x 6) (- (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* 62/14175 (pow x 2)) 34/945)))) 2/3)) |
(* -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)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2))))) |
(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 (/ (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2)) (pow x 2))) (+ 1 (* -1 (/ (sin x) x))))) |
(* x (- (* -1 (/ (+ (* -1 (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2)))) (+ (* -1 (pow (sin x) 3)) (pow (sin x) 3))) (pow x 3))) (+ 1 (+ (* -1 (/ (sin x) x)) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (/ (pow (sin x) 2) (pow x 2))))))) |
(/ -1 x) |
(/ (- (* -1 (/ (sin x) x)) 1) x) |
(/ (- (+ (* -1 (/ (sin x) x)) (* -1 (/ (pow (sin x) 2) (pow x 2)))) 1) x) |
(/ (- (+ (* -1 (/ (sin x) x)) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (* -1 (/ (pow (sin x) 3) (pow x 3))))) 1) x) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ (sin x) x))) |
(* (pow x 3) (+ 1 (+ (/ (sin x) x) (/ (pow (sin x) 2) (pow x 2))))) |
(* (pow x 3) (+ 1 (+ (/ (sin x) x) (+ (/ (pow (sin x) 2) (pow x 2)) (/ (pow (sin x) 3) (pow x 3)))))) |
x |
(* x (+ 1 (/ (sin x) x))) |
(* x (+ 1 (/ (sin x) x))) |
(* x (+ 1 (/ (sin x) x))) |
(* -1 x) |
(* x (- (* -1 (/ (sin x) x)) 1)) |
(* x (- (* -1 (/ (sin x) x)) 1)) |
(* x (- (* -1 (/ (sin x) x)) 1)) |
(* -1 (pow x 4)) |
(* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1)) |
(* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1)) |
(* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1)) |
(* -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))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2))))) |
(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 (/ (- (+ (* -1 (/ (pow (sin x) 3) x)) (+ (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x) (/ (pow (sin x) 3) x))) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x)) (* -1 (sin x))) x))))) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ (sin x) x)) x)) |
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (pow (sin x) 2) x))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (+ (/ (pow (sin x) 3) x) (pow (sin x) 2)) x))) x))) x)) |
(pow x 3) |
(* -1 (* (pow x 3) (- (* -1 (/ (sin x) x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (sin x) (/ (pow (sin x) 2) x)) x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (sin x) (* -1 (/ (+ (* -1 (/ (pow (sin x) 3) x)) (* -1 (pow (sin x) 2))) x))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (sin x) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin x) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin x) x)) 1))) |
(* -1 x) |
(* -1 (* x (+ 1 (/ (sin x) x)))) |
(* -1 (* x (+ 1 (/ (sin x) x)))) |
(* -1 (* x (+ 1 (/ (sin x) x)))) |
(* -1 (pow x 4)) |
(* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1)) |
(* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1)) |
(* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 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)) |
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)) |
(* (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) (+ 1/3 (* -2/45 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45)))) |
(*.f64 (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.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 1/315 (* -2/14175 (pow x 2)))) 2/45)))) |
(*.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))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) |
(fma.f64 (fma.f64 #s(literal 2/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)))) |
(fma.f64 (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.f64 x #s(literal 4 binary64)) (*.f64 x x)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 #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))) |
(/ -6 (pow x 3)) |
(/.f64 #s(literal -6 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* -3/10 (pow x 2)) 6) (pow x 3)) |
(-.f64 (/.f64 #s(literal -3/10 binary64) x) (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/ (- (* (pow x 2) (- (* -11/1400 (pow x 2)) 3/10)) 6) (pow x 3)) |
(/.f64 (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.f64 x #s(literal 3 binary64))) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -17/126000 (pow x 2)) 11/1400)) 3/10)) 6) (pow x 3)) |
(/.f64 (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))) |
(* 4 (pow x 3)) |
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 4 (* -1 (pow x 2)))) |
(*.f64 (fma.f64 (neg.f64 x) x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 4 (* (pow x 2) (- (* 29/180 (pow x 2)) 1)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 29/180 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 4 (* (pow x 2) (- (* (pow x 2) (+ 29/180 (* -16/945 (pow x 2)))) 1)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -16/945 binary64) (*.f64 x x) #s(literal 29/180 binary64)) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (* -1/6 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(*.f64 (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)) (*.f64 x x) #s(literal 2 binary64)) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* x (- (* 1/6 (pow x 2)) 2)) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -2 binary64)) x) |
(* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 2)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) |
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 2)) |
(*.f64 (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)) (*.f64 x x) #s(literal -2 binary64)) x) |
(* -2/3 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -2/3 binary64)) |
(* (pow x 6) (- (* 1/5 (pow x 2)) 2/3)) |
(*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal -2/3 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* (pow x 2) (+ 1/5 (* -34/945 (pow x 2)))) 2/3)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -34/945 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal -2/3 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* 62/14175 (pow x 2)) 34/945)))) 2/3)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/14175 binary64) (*.f64 x x) #s(literal -34/945 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal -2/3 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ (sin x) x) 1)) |
(fma.f64 (/.f64 (sin.f64 x) x) x (neg.f64 x)) |
(* x (- (/ (sin x) x) 1)) |
(fma.f64 (/.f64 (sin.f64 x) x) x (neg.f64 x)) |
(* x (- (/ (sin x) x) 1)) |
(fma.f64 (/.f64 (sin.f64 x) x) x (neg.f64 x)) |
(* 1/362880 (pow x 9)) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/362880 binary64)) |
(* (pow x 9) (- 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 9 binary64))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 9 binary64))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (/.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)) |
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(* -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) |
(neg.f64 x) |
(* -1 (* x (+ 1 (/ (sin x) x)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)) x) |
(* -1 (* x (+ 1 (/ (sin x) x)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)) x) |
(* -1 (* x (+ 1 (/ (sin x) x)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)) x) |
(* -1 (pow x 4)) |
(neg.f64 (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1)) |
(*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1)) |
(*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1)) |
(*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 214 |
| 0 | 62 | 205 |
| 1 | 259 | 170 |
| 2 | 1929 | 170 |
| 0 | 8250 | 170 |
| 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 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) |
(-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) |
(+.f64 (sin.f64 x) x) |
(-.f64 (neg.f64 x) (sin.f64 x)) |
(-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) |
| Outputs |
|---|
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Compiled 37 814 to 3 385 computations (91% saved)
21 alts after pruning (18 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 275 | 18 | 1 293 |
| Fresh | 6 | 0 | 6 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 284 | 21 | 1 305 |
| Status | Accuracy | Program |
|---|---|---|
| 50.8% | (/.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (*.f64 x x)) (-.f64 (neg.f64 x) (sin.f64 x))) | |
| 67.9% | (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (sin.f64 x) x)) | |
| 23.3% | (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (-.f64 (neg.f64 x) (sin.f64 x))) | |
| ▶ | 50.5% | (/.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) |
| 2.1% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (sin.f64 x) x)) (/.f64 (*.f64 x x) (-.f64 (sin.f64 x) x))) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) | |
| 5.1% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) (neg.f64 (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))))) | |
| 5.0% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) | |
| 67.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 x) x))) | |
| 6.3% | (/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (- (pow (sin x) 4) (pow x 4))) (/.f64 #s(literal -1 binary64) x))) | |
| 97.6% | (/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (- (pow (sin x) 4) (pow x 4))) (/.f64 #s(literal -6 binary64) (pow.f64 x #s(literal 3 binary64))))) | |
| ✓ | 67.8% | (-.f64 (sin.f64 x) x) |
| ▶ | 98.3% | #s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
| ▶ | 47.8% | #s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) |
| 98.7% | #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)))) | |
| ✓ | 99.1% | #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)))) |
| ▶ | 99.0% | #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))) |
| 98.7% | #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)) | |
| 98.7% | #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))) | |
| ▶ | 52.5% | #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)))) |
| ✓ | 6.3% | #s(approx (- (sin x) x) (neg.f64 x)) |
| 40.8% | #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 628 to 401 computations (36.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (log.f64 x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) | |
| cost-diff | 12800 | (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) | |
| cost-diff | 14208 | (/.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) | |
| cost-diff | 0 | (*.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))) | |
| cost-diff | 0 | #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)))) | |
| cost-diff | 448 | (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) | |
| cost-diff | 704 | (*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x) | |
| cost-diff | 0 | (pow.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) | |
| cost-diff | 64 | (-.f64 #s(literal 0 binary64) (*.f64 x x)) | |
| cost-diff | 192 | (+.f64 #s(literal 0 binary64) x) | |
| cost-diff | 1024 | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) | |
| 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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 339 |
| 0 | 78 | 324 |
| 1 | 143 | 324 |
| 2 | 353 | 312 |
| 3 | 1065 | 302 |
| 4 | 2275 | 274 |
| 5 | 4930 | 274 |
| 6 | 6949 | 274 |
| 0 | 8526 | 266 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 x x)) |
#s(literal 0 binary64) |
(*.f64 x x) |
x |
(+.f64 #s(literal 0 binary64) x) |
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal -1/6 binary64) |
#s(approx (- (sin x) x) (*.f64 #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)))) |
(*.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 (+ (* (* 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)) |
(*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) |
(-.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 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) |
(-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (log.f64 x) #s(literal 2 binary64)) |
(log.f64 x) |
x |
#s(literal 2 binary64) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(sin.f64 x) |
(-.f64 (neg.f64 x) (sin.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
#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 (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)))) |
(*.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 (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))) |
(*.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) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) |
#s(approx (- (sin x) x) (neg.f64 x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) |
(neg.f64 x) |
(-.f64 #s(literal 0 binary64) (*.f64 x x)) |
(*.f64 (neg.f64 x) x) |
#s(literal 0 binary64) |
(*.f64 x x) |
x |
(+.f64 #s(literal 0 binary64) x) |
x |
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal -1/6 binary64) |
#s(approx (- (sin x) x) (*.f64 #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 #s(approx (+ (* (* x x) 1/120) -1/6) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))) |
(*.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))) |
(*.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (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) (*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x)) |
#s(approx (+ (* (* x x) 1/120) -1/6) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) |
(fma.f64 #s(literal 1/120 binary64) x (/.f64 #s(literal -1/6 binary64) x)) |
(-.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 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) |
(-.f64 (sin.f64 x) x) |
(-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 x x) |
(*.f64 (log.f64 x) #s(literal 2 binary64)) |
(log.f64 x) |
x |
#s(literal 2 binary64) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(sin.f64 x) |
(-.f64 (neg.f64 x) (sin.f64 x)) |
(neg.f64 (+.f64 (sin.f64 x) x)) |
(neg.f64 x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.015625 | (pow.f64 (sin.f64 x) #s(literal 2 binary64)) | |
| accuracy | 3.059282059500503 | (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) | |
| accuracy | 5.623689701854351 | (/.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) | |
| accuracy | 14.757573746912357 | (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) | |
| accuracy | 0.1953125 | (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) | |
| accuracy | 0.3046875 | (*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x) | |
| accuracy | 0.6869056487807796 | #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)))) | |
| accuracy | 27.675561984390388 | (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) | |
| accuracy | 0 | (pow.f64 x #s(literal 3 binary64)) | |
| accuracy | 0.13671875 | (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) | |
| accuracy | 0.93551791694476 | #s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) | |
| accuracy | 0 | (+.f64 #s(literal 0 binary64) x) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 27.081389884726793 | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) | |
| accuracy | 59.9553624895047 | #s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) | |
| accuracy | 0.0078125 | (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 | 0.1171875 | (*.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 | 0.3203125 | (*.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 | 0.48160700444809523 | #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))) |
| 233.0ms | 230× | 1 | valid |
| 15.0ms | 15× | 2 | valid |
| 4.0ms | 11× | 0 | valid |
Compiled 266 to 44 computations (83.5% saved)
ival-mult: 35.0ms (20.9% of total)const: 27.0ms (16.1% of total)adjust: 21.0ms (12.5% of total)ival-sub: 19.0ms (11.4% of total)ival-div: 17.0ms (10.2% of total)ival-log: 11.0ms (6.6% of total)ival-add: 10.0ms (6% of total)ival-exp: 9.0ms (5.4% of total)ival-sin: 7.0ms (4.2% of total)ival-pow2: 5.0ms (3% of total)ival-pow: 3.0ms (1.8% 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 #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 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.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 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 0 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) (patch #s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) (patch #s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (patch (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x) (patch (*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) (patch (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) #<representation binary64>) () ()) |
#s(alt #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)))) (patch #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)))) #<representation binary64>) () ()) |
#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) (patch (/.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) #<representation binary64>) () ()) |
#s(alt (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (patch (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (patch (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (log.f64 x) #s(literal 2 binary64)) (patch (*.f64 (log.f64 x) #s(literal 2 binary64)) #<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 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (patch (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 (*.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 (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#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 (* (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 (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 (* (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 (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 (* -1/6 x) (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)) 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 (* x (- (* 1/120 (pow x 2)) 1/6)) (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)) 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 (* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (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)) 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 (* x (- (* (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 (*.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 -1/6 (taylor 0 x) (#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 (- (* 1/120 (pow x 2)) 1/6) (taylor 0 x) (#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 (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) (taylor 0 x) (#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 (- (* (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 (*.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 1/120 (taylor 0 x) (#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>) () ())) ()) |
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#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (/.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) (patch (/.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) #<representation binary64>) () ())) ()) |
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#s(alt (pow x 2) (taylor -inf x) (#s(alt (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (patch (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (patch (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (pow x 2) (taylor -inf x) (#s(alt (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (patch (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2))))) (taylor -inf x) (#s(alt (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (patch (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (*.f64 (log.f64 x) #s(literal 2 binary64)) (patch (*.f64 (log.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (*.f64 (log.f64 x) #s(literal 2 binary64)) (patch (*.f64 (log.f64 x) #s(literal 2 binary64)) #<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>) () ())) ()) |
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#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow (sin x) 2) (taylor -inf 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 (sin x) 2) (taylor -inf 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 (sin x) 2) (taylor -inf 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 (sin x) 2) (taylor -inf x) (#s(alt (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 34.0ms | x | @ | 0 | ((- (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) (/ (- 0 (* x x)) (+ 0 x)) (+ 0 x) (- 0 (* x x)) (- (sin x) x) (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (* (pow x 3) -1/6) (pow x 3) (* (* (- 1/120 (/ 1/6 (* x x))) x) x) (* (- 1/120 (/ 1/6 (* x x))) x) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (/ (- (exp (* (log x) 2)) (pow (sin x) 2)) (- (neg x) (sin x))) (exp (* (log x) 2)) (- (exp (* (log x) 2)) (pow (sin x) 2)) (* (log x) 2) (* (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (* x x)) (* x x) (/ 1/6 (* x x)) (pow (sin x) 2)) |
| 24.0ms | x | @ | -inf | ((- (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) (/ (- 0 (* x x)) (+ 0 x)) (+ 0 x) (- 0 (* x x)) (- (sin x) x) (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (* (pow x 3) -1/6) (pow x 3) (* (* (- 1/120 (/ 1/6 (* x x))) x) x) (* (- 1/120 (/ 1/6 (* x x))) x) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (/ (- (exp (* (log x) 2)) (pow (sin x) 2)) (- (neg x) (sin x))) (exp (* (log x) 2)) (- (exp (* (log x) 2)) (pow (sin x) 2)) (* (log x) 2) (* (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (* x x)) (* x x) (/ 1/6 (* x x)) (pow (sin x) 2)) |
| 9.0ms | x | @ | inf | ((- (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) (/ (- 0 (* x x)) (+ 0 x)) (+ 0 x) (- 0 (* x x)) (- (sin x) x) (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (* (pow x 3) -1/6) (pow x 3) (* (* (- 1/120 (/ 1/6 (* x x))) x) x) (* (- 1/120 (/ 1/6 (* x x))) x) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (/ (- (exp (* (log x) 2)) (pow (sin x) 2)) (- (neg x) (sin x))) (exp (* (log x) 2)) (- (exp (* (log x) 2)) (pow (sin x) 2)) (* (log x) 2) (* (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (* x x)) (* x x) (/ 1/6 (* x x)) (pow (sin x) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 163 | 2054 |
| 1 | 416 | 2044 |
| 2 | 1168 | 2038 |
| 3 | 3888 | 1930 |
| 4 | 7881 | 1924 |
| 0 | 8245 | 1832 |
| 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 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 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
x |
x |
x |
x |
(* -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 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
-1/6 |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* 1/120 (pow x 2)) 1/6) |
(/ -1/6 x) |
(/ (- (* 1/120 (pow x 2)) 1/6) x) |
(/ (- (* 1/120 (pow x 2)) 1/6) x) |
(/ (- (* 1/120 (pow x 2)) 1/6) x) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* -1/6 (pow x 3)) |
(* (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)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/3 (pow x 4)) |
(* (pow x 4) (+ 1/3 (* -2/45 (pow x 2)))) |
(* (pow x 4) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45)))) |
(* (pow x 4) (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 1/315 (* -2/14175 (pow x 2)))) 2/45)))) |
(* 2 (log x)) |
(* 2 (log x)) |
(* 2 (log x)) |
(* 2 (log 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)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (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 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 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
x |
x |
x |
x |
(* -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 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 x) |
(* x (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* x (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* x (- 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 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2))))) |
(* -2 (log (/ 1 x))) |
(* -2 (log (/ 1 x))) |
(* -2 (log (/ 1 x))) |
(* -2 (log (/ 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)))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
(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 (/ (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 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
x |
x |
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 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 x) |
(* -1 (* x (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* x (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* x (- (* 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 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2))))) |
(* 2 (+ (log -1) (* -1 (log (/ -1 x))))) |
(* 2 (+ (log -1) (* -1 (log (/ -1 x))))) |
(* 2 (+ (log -1) (* -1 (log (/ -1 x))))) |
(* 2 (+ (log -1) (* -1 (log (/ -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)))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
(pow (sin x) 2) |
(pow (sin x) 2) |
(pow (sin x) 2) |
(pow (sin x) 2) |
| 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 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 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
x |
x |
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 (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 (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 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/120 (pow x 2)) 1/6) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(- (* 1/120 (pow x 2)) 1/6) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(- (* 1/120 (pow x 2)) 1/6) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(/ -1/6 x) |
(/.f64 #s(literal -1/6 binary64) x) |
(/ (- (* 1/120 (pow x 2)) 1/6) x) |
(fma.f64 #s(literal 1/120 binary64) x (/.f64 #s(literal -1/6 binary64) x)) |
(/ (- (* 1/120 (pow x 2)) 1/6) x) |
(fma.f64 #s(literal 1/120 binary64) x (/.f64 #s(literal -1/6 binary64) x)) |
(/ (- (* 1/120 (pow x 2)) 1/6) x) |
(fma.f64 #s(literal 1/120 binary64) x (/.f64 #s(literal -1/6 binary64) x)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 #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) (- (* (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))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 1/3 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3 binary64)) |
(* (pow x 4) (+ 1/3 (* -2/45 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45)))) |
(*.f64 (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.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 1/315 (* -2/14175 (pow x 2)))) 2/45)))) |
(*.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))) |
(* 2 (log x)) |
(*.f64 (log.f64 x) #s(literal 2 binary64)) |
(* 2 (log x)) |
(*.f64 (log.f64 x) #s(literal 2 binary64)) |
(* 2 (log x)) |
(*.f64 (log.f64 x) #s(literal 2 binary64)) |
(* 2 (log x)) |
(*.f64 (log.f64 x) #s(literal 2 binary64)) |
(* -1/6 (pow x 3)) |
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(fma.f64 (sin.f64 x) #s(literal 1 binary64) (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(fma.f64 (sin.f64 x) #s(literal 1 binary64) (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(fma.f64 (sin.f64 x) #s(literal 1 binary64) (neg.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 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(fma.f64 (sin.f64 x) #s(literal 1 binary64) (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(fma.f64 (sin.f64 x) #s(literal 1 binary64) (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(fma.f64 (sin.f64 x) #s(literal 1 binary64) (neg.f64 x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2))))) |
(-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2))))) |
(-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2))))) |
(-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(* 2 (+ (log -1) (* -1 (log (/ -1 x))))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) |
(* 2 (+ (log -1) (* -1 (log (/ -1 x))))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) |
(* 2 (+ (log -1) (* -1 (log (/ -1 x))))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) |
(* 2 (+ (log -1) (* -1 (log (/ -1 x))))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) |
(* 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))))) |
(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 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)) |
(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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 271 |
| 0 | 78 | 259 |
| 1 | 292 | 227 |
| 2 | 2356 | 211 |
| 0 | 9198 | 205 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) |
(+.f64 #s(literal 0 binary64) x) |
(-.f64 #s(literal 0 binary64) (*.f64 x x)) |
#s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) |
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) |
#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)))) |
(*.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))) |
(/.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(*.f64 (log.f64 x) #s(literal 2 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 x x) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
| Outputs |
|---|
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Compiled 36 349 to 5 201 computations (85.7% saved)
26 alts after pruning (21 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 642 | 11 | 1 653 |
| Fresh | 3 | 10 | 13 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 2 | 3 |
| Total | 1 648 | 26 | 1 674 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 50.8% | (/.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (*.f64 x x)) (-.f64 (neg.f64 x) (sin.f64 x))) |
| 67.9% | (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (sin.f64 x) x)) | |
| 23.3% | (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (-.f64 (neg.f64 x) (sin.f64 x))) | |
| ✓ | 50.5% | (/.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) |
| 2.1% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (sin.f64 x) x)) (/.f64 (*.f64 x x) (-.f64 (sin.f64 x) x))) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) | |
| 5.1% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) (neg.f64 (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))))) | |
| 5.0% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) | |
| 67.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 x) x))) | |
| 6.3% | (/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (- (pow (sin x) 4) (pow x 4))) (/.f64 #s(literal -1 binary64) x))) | |
| 97.6% | (/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (- (pow (sin x) 4) (pow x 4))) (/.f64 #s(literal -6 binary64) (pow.f64 x #s(literal 3 binary64))))) | |
| ✓ | 67.8% | (-.f64 (sin.f64 x) x) |
| ✓ | 98.3% | #s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
| 42.0% | #s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 x x)) #s(literal -1/6 binary64))) | |
| 98.3% | #s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) | |
| 98.3% | #s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))) | |
| 98.3% | #s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) | |
| ▶ | 99.0% | #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) |
| ✓ | 99.0% | #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))) |
| ▶ | 99.0% | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
| 98.9% | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(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))) | |
| 98.7% | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) | |
| ▶ | 98.7% | #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)) |
| 99.0% | #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)) | |
| 52.5% | #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)) (*.f64 (*.f64 x x) x))) | |
| ✓ | 6.3% | #s(approx (- (sin x) x) (neg.f64 x)) |
| ▶ | 4.8% | #s(approx (- (sin x) x) x) |
Compiled 740 to 453 computations (38.8% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 (sin.f64 x)) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 128 | (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (*.f64 x x)) | |
| cost-diff | 14336 | (/.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (*.f64 x x)) (-.f64 (neg.f64 x) (sin.f64 x))) | |
| cost-diff | 0 | (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) 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 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) | |
| cost-diff | 128 | (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)) | |
| cost-diff | 0 | #s(approx (- (sin x) x) x) | |
| cost-diff | 0 | (*.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)) x) | |
| cost-diff | 0 | (*.f64 (*.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)) x) x) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) | |
| cost-diff | 320 | (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 358 |
| 0 | 63 | 347 |
| 1 | 118 | 335 |
| 2 | 212 | 335 |
| 3 | 510 | 335 |
| 4 | 1253 | 327 |
| 5 | 2989 | 324 |
| 6 | 4129 | 324 |
| 7 | 7090 | 324 |
| 0 | 8041 | 324 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) |
(*.f64 (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)) |
(fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 (*.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)) x) x) |
(*.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)) x) |
(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) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
#s(approx (- (sin x) 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)) (*.f64 x x)) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 x x) |
x |
#s(literal -1/6 binary64) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
(*.f64 (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) |
(*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) |
(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) |
(/.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (*.f64 x x)) (-.f64 (neg.f64 x) (sin.f64 x))) |
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (*.f64 x x)) |
(sin.f64 x) |
x |
(neg.f64 (sin.f64 x)) |
(*.f64 x x) |
(-.f64 (neg.f64 x) (sin.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) x) x #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) x) x #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) x) x #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(*.f64 (*.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)) x) x) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) x) x #s(literal 1/120 binary64)) (*.f64 x x)) |
(*.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)) x) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) x) x #s(literal 1/120 binary64)) x) |
(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 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) 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) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
#s(approx (- (sin x) 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)) (*.f64 x x)) x)) |
#s(approx (- (sin x) x) (*.f64 (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 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x) |
(*.f64 (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 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 x x) |
x |
#s(literal -1/6 binary64) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) 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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) x) x #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) x) x #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) x) x #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) x) x #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) x) x #s(literal 1/120 binary64)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) x) |
(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) |
(/.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (*.f64 x x)) (-.f64 (neg.f64 x) (sin.f64 x))) |
(-.f64 (sin.f64 x) x) |
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 x (sin.f64 x)) (+.f64 (sin.f64 x) x)) |
(sin.f64 x) |
x |
(neg.f64 (sin.f64 x)) |
(*.f64 x x) |
(-.f64 (neg.f64 x) (sin.f64 x)) |
(neg.f64 (+.f64 (sin.f64 x) x)) |
(neg.f64 x) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.01171875 | (-.f64 (neg.f64 x) (sin.f64 x)) | |
| accuracy | 5.623689701854351 | (/.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (*.f64 x x)) (-.f64 (neg.f64 x) (sin.f64 x))) | |
| accuracy | 29.701236585103345 | (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (*.f64 x x)) | |
| accuracy | 0.1171875 | (*.f64 (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) | |
| accuracy | 0.125 | (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) | |
| accuracy | 0.3203125 | (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) | |
| accuracy | 0.48160700444809523 | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) | |
| accuracy | 0.0078125 | (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) | |
| accuracy | 0.09765625 | (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x) | |
| accuracy | 0.23046875 | (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) | |
| accuracy | 0.6869056487807796 | #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)) | |
| accuracy | 60.89960934825823 | #s(approx (- (sin x) x) x) | |
| accuracy | 0.1171875 | (*.f64 (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)) | |
| accuracy | 0.12890625 | (*.f64 (*.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)) x) x) | |
| accuracy | 0.31640625 | (*.f64 #s(literal -1/6 binary64) x) | |
| accuracy | 0.48160700444809523 | #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) |
| 159.0ms | 231× | 1 | valid |
| 10.0ms | 13× | 2 | valid |
| 3.0ms | 12× | 0 | valid |
Compiled 324 to 37 computations (88.6% saved)
ival-mult: 52.0ms (37.9% of total)adjust: 29.0ms (21.1% of total)const: 23.0ms (16.8% of total)ival-add: 15.0ms (10.9% of total)ival-sin: 7.0ms (5.1% of total)ival-sub: 5.0ms (3.6% of total)ival-div: 3.0ms (2.2% of total)ival-neg: 3.0ms (2.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (patch (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) (patch #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.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)) x) x) (patch (*.f64 (*.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)) x) x) #<representation binary64>) () ()) |
#s(alt (*.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)) x) (patch (*.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)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (sin x) x) x) (patch #s(approx (- (sin x) x) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)) (patch #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) (patch (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (patch (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) 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 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) 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 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (patch (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (*.f64 x x)) (-.f64 (neg.f64 x) (sin.f64 x))) (patch (/.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (*.f64 x x)) (-.f64 (neg.f64 x) (sin.f64 x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (*.f64 x x)) (patch (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ()) |
#s(alt (neg.f64 (sin.f64 x)) (patch (neg.f64 (sin.f64 x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/6 binary64) x) (patch (*.f64 #s(literal -1/6 binary64) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)) (patch (*.f64 (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x) (patch (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) (patch (*.f64 (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (-.f64 (neg.f64 x) (sin.f64 x)) (patch (-.f64 (neg.f64 x) (sin.f64 x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
| Outputs |
|---|
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | ((+ (* (* (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) x) x) (* -1/6 x)) (- (sin x) x) (* (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) x) (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (- (sin x) x) (- (sin x) x) (* (+ (* 1/120 (* x x)) -1/6) (* x x)) (+ (* 1/120 (* x x)) -1/6) (* x x) (+ (* (* (+ (* 1/362880 (* x x)) -1/5040) x) x) 1/120) (- (sin x) x) (* (+ (* (+ (* (* (+ (* 1/362880 (* x x)) -1/5040) x) x) 1/120) (* x x)) -1/6) x) (+ (* (+ (* (* (+ (* 1/362880 (* x x)) -1/5040) x) x) 1/120) (* x x)) -1/6) (/ (+ (* (sin x) (neg (sin x))) (* x x)) (- (neg x) (sin x))) (+ (* (sin x) (neg (sin x))) (* x x)) (sin x) (neg (sin x)) (* -1/6 x) (* (+ (* (* (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) x) x) (* -1/6 x)) (* x x)) (* (* (+ (* 1/120 (* x x)) -1/6) (* x x)) x) (* (* (+ (* 1/362880 (* x x)) -1/5040) x) x) (* (* (+ (* (+ (* (* (+ (* 1/362880 (* x x)) -1/5040) x) x) 1/120) (* x x)) -1/6) x) (* x x)) (- (neg x) (sin x)) (neg x)) |
| 3.0ms | x | @ | -inf | ((+ (* (* (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) x) x) (* -1/6 x)) (- (sin x) x) (* (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) x) (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (- (sin x) x) (- (sin x) x) (* (+ (* 1/120 (* x x)) -1/6) (* x x)) (+ (* 1/120 (* x x)) -1/6) (* x x) (+ (* (* (+ (* 1/362880 (* x x)) -1/5040) x) x) 1/120) (- (sin x) x) (* (+ (* (+ (* (* (+ (* 1/362880 (* x x)) -1/5040) x) x) 1/120) (* x x)) -1/6) x) (+ (* (+ (* (* (+ (* 1/362880 (* x x)) -1/5040) x) x) 1/120) (* x x)) -1/6) (/ (+ (* (sin x) (neg (sin x))) (* x x)) (- (neg x) (sin x))) (+ (* (sin x) (neg (sin x))) (* x x)) (sin x) (neg (sin x)) (* -1/6 x) (* (+ (* (* (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) x) x) (* -1/6 x)) (* x x)) (* (* (+ (* 1/120 (* x x)) -1/6) (* x x)) x) (* (* (+ (* 1/362880 (* x x)) -1/5040) x) x) (* (* (+ (* (+ (* (* (+ (* 1/362880 (* x x)) -1/5040) x) x) 1/120) (* x x)) -1/6) x) (* x x)) (- (neg x) (sin x)) (neg x)) |
| 2.0ms | x | @ | 0 | ((+ (* (* (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) x) x) (* -1/6 x)) (- (sin x) x) (* (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) x) (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (- (sin x) x) (- (sin x) x) (* (+ (* 1/120 (* x x)) -1/6) (* x x)) (+ (* 1/120 (* x x)) -1/6) (* x x) (+ (* (* (+ (* 1/362880 (* x x)) -1/5040) x) x) 1/120) (- (sin x) x) (* (+ (* (+ (* (* (+ (* 1/362880 (* x x)) -1/5040) x) x) 1/120) (* x x)) -1/6) x) (+ (* (+ (* (* (+ (* 1/362880 (* x x)) -1/5040) x) x) 1/120) (* x x)) -1/6) (/ (+ (* (sin x) (neg (sin x))) (* x x)) (- (neg x) (sin x))) (+ (* (sin x) (neg (sin x))) (* x x)) (sin x) (neg (sin x)) (* -1/6 x) (* (+ (* (* (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) x) x) (* -1/6 x)) (* x x)) (* (* (+ (* 1/120 (* x x)) -1/6) (* x x)) x) (* (* (+ (* 1/362880 (* x x)) -1/5040) x) x) (* (* (+ (* (+ (* (* (+ (* 1/362880 (* x x)) -1/5040) x) x) 1/120) (* x x)) -1/6) x) (* x x)) (- (neg x) (sin x)) (neg x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 177 | 2677 |
| 1 | 465 | 2665 |
| 2 | 1289 | 2653 |
| 3 | 4046 | 2479 |
| 0 | 8356 | 2365 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -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 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) |
(* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) |
(* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) |
(* 1/120 x) |
(* x (+ 1/120 (* -1/5040 (pow x 2)))) |
(* x (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) |
(* x (+ 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) (- (* (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)) |
(* (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)) |
-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) |
1/120 |
(+ 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 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) |
(* -1/6 (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) (+ 1/3 (* -2/45 (pow x 2)))) |
(* (pow x 4) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45)))) |
(* (pow x 4) (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 1/315 (* -2/14175 (pow x 2)))) 2/45)))) |
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 (- (* 1/6 (pow x 2)) 1)) |
(* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)) |
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1)) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* -1/5040 (pow x 2)) |
(* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)) |
(* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)) |
(* (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)) |
(* -2 x) |
(* x (- (* 1/6 (pow x 2)) 2)) |
(* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 2)) |
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 2)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* 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 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))))) |
(* 1/362880 (pow x 5)) |
(* (pow x 5) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 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) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 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) |
(* 1/362880 (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)) |
(* 1/362880 (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 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2))))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(* -1 (sin x)) |
(* -1 (sin x)) |
(* -1 (sin x)) |
(* -1 (sin x)) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 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)))))) |
(* 1/120 (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))))) |
(* 1/362880 (pow x 4)) |
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (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 (- (* -1 (/ (sin x) x)) 1)) |
(* x (- (* -1 (/ (sin x) x)) 1)) |
(* x (- (* -1 (/ (sin x) x)) 1)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 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 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))))) |
(* 1/362880 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(* -1 (* (pow x 5) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/5040 (/ 1 (pow x 2))) (+ 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 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 4)) |
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 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) |
(* 1/362880 (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))))) |
(* 1/362880 (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 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2))))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(* -1 (sin x)) |
(* -1 (sin x)) |
(* -1 (sin x)) |
(* -1 (sin x)) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 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)))))) |
(* 1/120 (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))) |
(* 1/362880 (pow x 4)) |
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (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 (/ (sin x) x)))) |
(* -1 (* x (+ 1 (/ (sin x) x)))) |
(* -1 (* x (+ 1 (/ (sin x) x)))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
| Outputs |
|---|
(* -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)) |
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(* (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 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) #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))) (* 1/6 (/ 1 (pow x 6)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/362880 binary64)) (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) (/.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))))) |
(-.f64 (sin.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2))))) |
(-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2))))) |
(-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2))))) |
(-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(* -1 (sin x)) |
(neg.f64 (sin.f64 x)) |
(* -1 (sin x)) |
(neg.f64 (sin.f64 x)) |
(* -1 (sin x)) |
(neg.f64 (sin.f64 x)) |
(* -1 (sin x)) |
(neg.f64 (sin.f64 x)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* 1/362880 (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 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/362880 binary64)) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/362880 binary64)) (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(* 1/120 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* 1/362880 (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 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- 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 4 binary64))) |
(* (pow x 4) (- 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 4 binary64))) |
(* 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 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/362880 binary64)) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/362880 binary64)) (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (/ (sin x) x)))) |
(neg.f64 (+.f64 (sin.f64 x) x)) |
(* -1 (* x (+ 1 (/ (sin x) x)))) |
(neg.f64 (+.f64 (sin.f64 x) x)) |
(* -1 (* x (+ 1 (/ (sin x) x)))) |
(neg.f64 (+.f64 (sin.f64 x) x)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 303 |
| 0 | 63 | 292 |
| 1 | 240 | 268 |
| 2 | 1524 | 268 |
| 0 | 8430 | 268 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) |
(*.f64 (*.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)) x) x) |
(*.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)) x) |
#s(approx (- (sin 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)) (*.f64 x x)) x)) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
(*.f64 x x) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
(*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
(/.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (*.f64 x x)) (-.f64 (neg.f64 x) (sin.f64 x))) |
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (*.f64 x x)) |
(sin.f64 x) |
(neg.f64 (sin.f64 x)) |
(*.f64 #s(literal -1/6 binary64) x) |
(*.f64 (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) |
(*.f64 (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) |
(-.f64 (neg.f64 x) (sin.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
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Compiled 44 835 to 4 140 computations (90.8% saved)
29 alts after pruning (22 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 408 | 9 | 1 417 |
| Fresh | 3 | 13 | 16 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 4 | 5 |
| Total | 1 414 | 29 | 1 443 |
| Status | Accuracy | Program |
|---|---|---|
| 7.4% | (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x) (sin.f64 x)) | |
| 21.8% | (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (-.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 x x))))) (-.f64 (neg.f64 x) (sin.f64 x))) | |
| 2.0% | (/.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (*.f64 x x)) (-.f64 (/.f64 (*.f64 x x) (-.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (sin.f64 x) x)))) | |
| 23.3% | (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (-.f64 (neg.f64 x) (sin.f64 x))) | |
| 23.3% | (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) x) (sin.f64 x)) (*.f64 x (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (*.f64 (sin.f64 x) x)) | |
| 5.1% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) (neg.f64 (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))))) | |
| 5.0% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) | |
| 6.3% | (/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (- (pow (sin x) 4) (pow x 4))) (/.f64 #s(literal -1 binary64) x))) | |
| 97.6% | (/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (- (pow (sin x) 4) (pow x 4))) (/.f64 #s(literal -6 binary64) (pow.f64 x #s(literal 3 binary64))))) | |
| ✓ | 67.8% | (-.f64 (sin.f64 x) x) |
| ✓ | 98.3% | #s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
| 42.0% | #s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 x x)) #s(literal -1/6 binary64))) | |
| 98.3% | #s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) | |
| 98.3% | #s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))) | |
| 98.3% | #s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) | |
| ✓ | 99.0% | #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) |
| 98.9% | #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) | |
| 98.7% | #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (*.f64 #s(literal 1/120 binary64) x)) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) | |
| 98.7% | #s(approx (- (sin x) x) (*.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x)) | |
| 99.1% | #s(approx (- (sin x) x) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) x) x #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x))) | |
| ✓ | 99.0% | #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))) |
| ✓ | 99.0% | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
| 98.9% | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(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))) | |
| 98.7% | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) | |
| 99.0% | #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)) | |
| 98.7% | #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x) x)) | |
| 52.5% | #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)) (*.f64 (*.f64 x x) x))) | |
| ✓ | 6.3% | #s(approx (- (sin x) x) (neg.f64 x)) |
| ✓ | 4.8% | #s(approx (- (sin x) x) x) |
Compiled 1 357 to 519 computations (61.8% saved)
| Inputs |
|---|
#s(approx (- (sin x) x) x) |
#s(approx (- (sin x) x) (neg.f64 x)) |
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))) |
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) |
#s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (- (pow (sin x) 4) (pow x 4))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) #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 #s(approx (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (*.f64 #s(literal 1/120 binary64) x)) x) x (*.f64 #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 (*.f64 #s(approx (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x)) |
#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)) (*.f64 (*.f64 x x) 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 (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 (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) 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 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) x) x #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x))) |
(-.f64 (sin.f64 x) x) |
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin 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 (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 x x)) #s(literal -1/6 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (- (pow (sin x) 4) (pow x 4))) (/.f64 #s(literal -6 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x) (sin.f64 x)) |
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 x) x))) |
#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)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (sin.f64 x) x) #s(literal -1 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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (sin.f64 x) x)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) |
(/.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (*.f64 x x)) (-.f64 (neg.f64 x) (sin.f64 x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) x) (sin.f64 x)) (*.f64 x (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (*.f64 (sin.f64 x) x)) |
(/.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) (neg.f64 (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (*.f64 x x)) (-.f64 (/.f64 (*.f64 x x) (-.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (sin.f64 x) x)))) |
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (-.f64 (neg.f64 x) (sin.f64 x))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (-.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 x x))))) (-.f64 (neg.f64 x) (sin.f64 x))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (+.f64 (sin.f64 x) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (+.f64 (sin.f64 x) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (sin.f64 x) x)) (/.f64 (*.f64 x x) (-.f64 (sin.f64 x) x))) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 (sin.f64 x) x) x) (-.f64 (*.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) |
| Outputs |
|---|
#s(approx (- (sin x) x) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) x) x #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x))) |
2 calls:
| 18.0ms | x |
| 11.0ms | (-.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) x) |
#s(approx (- (sin x) x) (neg.f64 x)) |
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))) |
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) |
#s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (- (pow (sin x) 4) (pow x 4))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) #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 #s(approx (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (*.f64 #s(literal 1/120 binary64) x)) x) x (*.f64 #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 (*.f64 #s(approx (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x)) |
#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)) (*.f64 (*.f64 x x) 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 (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 (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) 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 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) |
2 calls:
| 9.0ms | x |
| 5.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 1 | x |
| 99.0% | 1 | (-.f64 (sin.f64 x) x) |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (- (sin x) x) x) |
#s(approx (- (sin x) x) (neg.f64 x)) |
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))) |
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) |
#s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (- (pow (sin x) 4) (pow x 4))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) #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 #s(approx (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (*.f64 #s(literal 1/120 binary64) x)) x) x (*.f64 #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 (*.f64 #s(approx (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x)) |
#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)) (*.f64 (*.f64 x x) 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 (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 (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) 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 (*.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:
| 6.0ms | x |
| 5.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 1 | x |
| 99.0% | 1 | (-.f64 (sin.f64 x) x) |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (- (sin x) x) x) |
#s(approx (- (sin x) x) (neg.f64 x)) |
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))) |
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) |
#s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (- (pow (sin x) 4) (pow x 4))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) #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 #s(approx (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (*.f64 #s(literal 1/120 binary64) x)) x) x (*.f64 #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 (*.f64 #s(approx (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x)) |
#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)) (*.f64 (*.f64 x x) x))) |
| Outputs |
|---|
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) |
2 calls:
| 7.0ms | x |
| 4.0ms | (-.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) x) |
#s(approx (- (sin x) x) (neg.f64 x)) |
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))) |
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) |
#s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (- (pow (sin x) 4) (pow x 4))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) #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 #s(approx (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (*.f64 #s(literal 1/120 binary64) x)) x) x (*.f64 #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))) |
| 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 |
|---|---|---|
| 98.9% | 1 | x |
| 98.9% | 1 | (-.f64 (sin.f64 x) x) |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (- (sin x) x) x) |
#s(approx (- (sin x) x) (neg.f64 x)) |
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))) |
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) |
#s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (- (pow (sin x) 4) (pow x 4))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) #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 #s(approx (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (*.f64 #s(literal 1/120 binary64) x)) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (*.f64 #s(literal 1/120 binary64) x)) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) |
2 calls:
| 4.0ms | x |
| 3.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 1 | x |
| 98.7% | 1 | (-.f64 (sin.f64 x) x) |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (- (sin x) x) x) |
#s(approx (- (sin x) x) (neg.f64 x)) |
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))) |
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) |
#s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (- (pow (sin x) 4) (pow x 4))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) #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 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x) x)) |
2 calls:
| 6.0ms | x |
| 3.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 1 | x |
| 98.7% | 1 | (-.f64 (sin.f64 x) x) |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (- (sin x) x) x) |
#s(approx (- (sin x) x) (neg.f64 x)) |
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))) |
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) |
#s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (- (pow (sin x) 4) (pow x 4))) (/.f64 #s(literal -1 binary64) x))) |
| Outputs |
|---|
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))) |
2 calls:
| 3.0ms | x |
| 2.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 1 | x |
| 98.3% | 1 | (-.f64 (sin.f64 x) x) |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (- (sin x) x) x) |
#s(approx (- (sin x) x) (neg.f64 x)) |
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
| Outputs |
|---|
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
2 calls:
| 2.0ms | x |
| 1.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 1 | x |
| 98.3% | 1 | (-.f64 (sin.f64 x) x) |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (- (sin x) x) x) |
#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 |
|---|---|---|
| 6.3% | 1 | x |
| 6.3% | 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) x) |
| Outputs |
|---|
#s(approx (- (sin x) x) x) |
2 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 4.8% | 1 | x |
| 4.8% | 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 | 78 | 270 |
| 1 | 107 | 270 |
| 2 | 109 | 270 |
| 3 | 110 | 270 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (- (sin x) x) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) x) x #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x 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 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)) x) x (*.f64 #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 (*.f64 #s(approx (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (*.f64 #s(literal 1/120 binary64) x)) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x) x)) |
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))) |
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
#s(approx (- (sin x) x) (neg.f64 x)) |
#s(approx (- (sin x) x) x) |
| Outputs |
|---|
#s(approx (- (sin x) x) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) x) x #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x 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 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)) x) x (*.f64 #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 (*.f64 #s(approx (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (*.f64 #s(literal 1/120 binary64) x)) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x) x)) |
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))) |
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 x x))) |
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
#s(approx (- (sin x) x) (neg.f64 x)) |
#s(approx (- (sin x) x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 303 |
| 0 | 63 | 292 |
| 1 | 240 | 268 |
| 2 | 1524 | 268 |
| 0 | 8430 | 268 |
| 0 | 324 | 2207 |
| 1 | 913 | 2194 |
| 2 | 2817 | 2132 |
| 3 | 7390 | 2132 |
| 0 | 8333 | 2019 |
| 0 | 177 | 2677 |
| 1 | 465 | 2665 |
| 2 | 1289 | 2653 |
| 3 | 4046 | 2479 |
| 0 | 8356 | 2365 |
| 0 | 49 | 271 |
| 0 | 78 | 259 |
| 1 | 292 | 227 |
| 2 | 2356 | 211 |
| 0 | 9198 | 205 |
| 0 | 36 | 214 |
| 0 | 62 | 205 |
| 1 | 259 | 170 |
| 2 | 1929 | 170 |
| 0 | 8250 | 170 |
| 0 | 47 | 170 |
| 1 | 121 | 164 |
| 2 | 313 | 164 |
| 3 | 939 | 152 |
| 4 | 2033 | 140 |
| 5 | 3880 | 140 |
| 0 | 8027 | 128 |
| 0 | 3 | 6 |
| 0 | 5 | 6 |
| 1 | 20 | 6 |
| 2 | 148 | 6 |
| 3 | 1494 | 6 |
| 0 | 8322 | 6 |
| 0 | 163 | 2054 |
| 1 | 416 | 2044 |
| 2 | 1168 | 2038 |
| 3 | 3888 | 1930 |
| 4 | 7881 | 1924 |
| 0 | 8245 | 1832 |
| 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× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 538 to 301 computations (44.1% saved)
(negabs x)
Compiled 488 to 228 computations (53.3% saved)
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