
Time bar (total: 3.4s)
| 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)
| 746.0ms | 7 112× | 1 | valid |
| 127.0ms | 801× | 2 | valid |
| 23.0ms | 343× | 0 | valid |
ival-sin: 334.0ms (49.8% of total)adjust: 152.0ms (22.7% of total)ival-sub: 108.0ms (16.1% of total)ival-<: 50.0ms (7.5% of total)ival-and: 12.0ms (1.8% of total)exact: 11.0ms (1.6% of total)ival-assert: 4.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 87 | 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 | 87 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 87 | 0 |
| - | 0 | 169 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 87 | 0 | 0 |
| - | 0 | 0 | 169 |
| number | freq |
|---|---|
| 0 | 169 |
| 1 | 87 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 40.0ms | 448× | 1 | valid |
| 8.0ms | 44× | 2 | valid |
| 1.0ms | 20× | 0 | valid |
Compiled 22 to 13 computations (40.9% saved)
ival-sin: 20.0ms (57.8% of total)adjust: 9.0ms (26% of total)ival-sub: 5.0ms (14.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 13 |
| 1 | 7 | 13 |
| 2 | 14 | 13 |
| 3 | 22 | 13 |
| 4 | 35 | 13 |
| 5 | 63 | 13 |
| 6 | 122 | 13 |
| 7 | 366 | 13 |
| 8 | 1428 | 13 |
| 9 | 5197 | 13 |
| 0 | 3 | 4 |
| 0 | 5 | 4 |
| 0 | 5 | 4 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (sin.f64 x) x) |
| Outputs |
|---|
(-.f64 (sin.f64 x) x) |
Compiled 4 to 3 computations (25% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 69.8% | (-.f64 (sin.f64 x) x) |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(-.f64 (sin.f64 x) x) |
(sin.f64 x) |
x |
| Outputs |
|---|
(* -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)) |
(sin x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | ((- (sin x) x) (sin x) x) |
| 0.0ms | x | @ | -inf | ((- (sin x) x) (sin x) x) |
| 0.0ms | x | @ | 0 | ((- (sin x) x) (sin x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 122 |
| 1 | 130 | 116 |
| 2 | 389 | 116 |
| 3 | 1500 | 108 |
| 4 | 6237 | 108 |
| 0 | 8446 | 96 |
| 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)) |
(sin x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
| Outputs |
|---|
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
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) |
(sin x) |
(sin.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 7 |
| 0 | 5 | 7 |
| 1 | 18 | 7 |
| 2 | 128 | 7 |
| 3 | 1313 | 7 |
| 0 | 9762 | 7 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (sin.f64 x) x) |
(sin.f64 x) |
x |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (-.f64 (neg.f64 (sin.f64 x)) x) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (+.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64))))) (/.f64 (-.f64 (neg.f64 (sin.f64 x)) x) (fma.f64 (*.f64 (-.f64 (sin.f64 x) x) x) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))))) |
(*.f64 (/.f64 (+.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (-.f64 (sin.f64 x) (neg.f64 x)) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (+.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64))))) (/.f64 (-.f64 (sin.f64 x) (neg.f64 x)) (fma.f64 (*.f64 (-.f64 (sin.f64 x) x) x) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))))) |
(*.f64 (/.f64 (+.f64 (neg.f64 (sin.f64 x)) x) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (-.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (-.f64 (sin.f64 x) x) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (+.f64 (sin.f64 x) (neg.f64 x)) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (-.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (-.f64 (sin.f64 x) x) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (sin.f64 x) x) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (sin.f64 x) x) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) (-.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (sin.f64 x) x) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (sin.f64 x) x) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 2 binary64)) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 x) x) #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 x) x) #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (-.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (+.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 2 binary64)) (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 2 binary64)))) (/.f64 (-.f64 (neg.f64 (sin.f64 x)) x) (-.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (+.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (-.f64 (neg.f64 (sin.f64 x)) x) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (+.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 2 binary64)) (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 2 binary64)))) (/.f64 (-.f64 (sin.f64 x) (neg.f64 x)) (-.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (+.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (-.f64 (sin.f64 x) (neg.f64 x)) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (-.f64 (neg.f64 (sin.f64 x)) (neg.f64 x)) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (-.f64 (sin.f64 x) x) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (-.f64 (neg.f64 (sin.f64 x)) (neg.f64 x)) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (-.f64 (sin.f64 x) x) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64))))) (/.f64 (-.f64 (neg.f64 (sin.f64 x)) (neg.f64 x)) (fma.f64 (*.f64 (-.f64 (sin.f64 x) x) x) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))))) |
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64))))) (/.f64 (-.f64 (sin.f64 x) x) (fma.f64 (*.f64 (-.f64 (sin.f64 x) x) x) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))))) |
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 2 binary64)) (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 2 binary64)))) (/.f64 (-.f64 (neg.f64 (sin.f64 x)) (neg.f64 x)) (-.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 2 binary64)) (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 2 binary64)))) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (+.f64 (neg.f64 (sin.f64 x)) x) (-.f64 (sin.f64 x) x)) (/.f64 (-.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 (+.f64 (sin.f64 x) (neg.f64 x)) (-.f64 (sin.f64 x) x)) (/.f64 (-.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (-.f64 (neg.f64 (sin.f64 x)) (neg.f64 x)) (/.f64 (-.f64 (sin.f64 x) x) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (-.f64 (sin.f64 x) x) (/.f64 (-.f64 (sin.f64 x) x) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (sin.f64 x) x)) (/.f64 (-.f64 (neg.f64 (sin.f64 x)) (neg.f64 x)) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (sin.f64 x) x)) (/.f64 (-.f64 (sin.f64 x) x) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (sin.f64 x) x) x) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 2 binary64)) (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 2 binary64))) (-.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (-.f64 (sin.f64 x) x) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (sin.f64 x) x) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (sin.f64 x) x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (sin.f64 x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (sin.f64 x) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 x (-.f64 (sin.f64 x) x))) #s(literal 2 binary64)))) (-.f64 (sin.f64 x) x)) |
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(-.f64 (sin.f64 x) x) |
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(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (sin.f64 x) x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (sin.f64 x) x))))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (sin.f64 x) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (sin.f64 x) x))))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 3 binary64)))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (*.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (sin.f64 x) x))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (sin.f64 x) x)) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (-.f64 (sin.f64 x) x))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (sin.f64 x) x)) (*.f64 x (/.f64 x (-.f64 (sin.f64 x) x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) |
(+.f64 (neg.f64 x) (neg.f64 (sin.f64 x))) |
(+.f64 (neg.f64 (sin.f64 x)) (neg.f64 x)) |
(+.f64 (sin.f64 x) x) |
(+.f64 x (sin.f64 x)) |
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 (neg.f64 (neg.f64 (sin.f64 x))))) |
(*.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x)))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x))) |
(pow.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sin.f64 x) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (sqrt.f64 #s(literal -2 binary64))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (sqrt.f64 #s(literal 2 binary64))) |
(sin.f64 x) |
(sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(fabs.f64 (neg.f64 (neg.f64 (sin.f64 x)))) |
(fabs.f64 (neg.f64 (sin.f64 x))) |
(fabs.f64 (sin.f64 x)) |
(exp.f64 (/.f64 (log.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (sin.f64 x))) |
(+.f64 (cosh.f64 (log.f64 (sin.f64 x))) (sinh.f64 (log.f64 (sin.f64 x)))) |
x |
Compiled 7 467 to 580 computations (92.2% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 220 | 4 | 224 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 220 | 5 | 225 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 69.8% | (-.f64 (sin.f64 x) x) |
| ▶ | 99.0% | #s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
| ▶ | 98.8% | #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)))) |
| ▶ | 98.6% | #s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
| ▶ | 6.4% | #s(approx (- (sin x) x) (neg.f64 x)) |
Compiled 56 to 40 computations (28.6% saved)
| Inputs |
|---|
#s(approx (- (sin x) x) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal -1/6 binary64) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(*.f64 x x) |
#s(literal 1/120 binary64) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
| Outputs |
|---|
(* -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) |
x |
(pow x 3) |
-1/6 |
(- (* 1/120 (pow x 2)) 1/6) |
(pow x 2) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
1/120 |
(+ 1/120 (* -1/5040 (pow x 2))) |
(* x (- (/ (sin x) x) 1)) |
(* 1/120 (pow x 5)) |
(* (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))))) |
(* -1/5040 (pow x 7)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 4)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | ((- (sin x) x) (neg x) x (- (sin x) x) (* (pow x 3) -1/6) (pow x 3) 3 -1/6 (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (* x x) 1/120 (- (sin x) x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120) -1/5040) |
| 2.0ms | x | @ | -inf | ((- (sin x) x) (neg x) x (- (sin x) x) (* (pow x 3) -1/6) (pow x 3) 3 -1/6 (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (* x x) 1/120 (- (sin x) x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120) -1/5040) |
| 2.0ms | x | @ | 0 | ((- (sin x) x) (neg x) x (- (sin x) x) (* (pow x 3) -1/6) (pow x 3) 3 -1/6 (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (* x x) 1/120 (- (sin x) x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120) -1/5040) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 259 |
| 1 | 168 | 259 |
| 2 | 513 | 259 |
| 3 | 2084 | 251 |
| 4 | 6996 | 251 |
| 0 | 8613 | 240 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* -1 x) |
x |
(pow x 3) |
-1/6 |
(- (* 1/120 (pow x 2)) 1/6) |
(pow x 2) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
1/120 |
(+ 1/120 (* -1/5040 (pow x 2))) |
(* x (- (/ (sin x) x) 1)) |
(* 1/120 (pow x 5)) |
(* (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))))) |
(* -1/5040 (pow x 7)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 4)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
| Outputs |
|---|
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 x) |
(neg.f64 x) |
x |
(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)) |
(pow x 2) |
(*.f64 x x) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* -1/5040 (pow x 2))) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* 1/120 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(* -1/5040 (pow x 7)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/5040 binary64)) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))) |
(* -1/5040 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64))) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/5040 binary64)) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* -1/5040 (pow x 2)) |
(*.f64 #s(literal -1/5040 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) x) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -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 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/5040 binary64)) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 118 |
| 0 | 32 | 118 |
| 1 | 109 | 118 |
| 0 | 789 | 118 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (sin x) x) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal -1/6 binary64) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(*.f64 x x) |
#s(literal 1/120 binary64) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
| Outputs |
|---|
#s(approx (- (sin x) x) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (- (sin x) x) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) |
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(*.f64 (*.f64 x (fabs.f64 x)) (fabs.f64 x)) |
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#s(literal 3 binary64) |
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(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64)))) |
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64)))) |
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(+.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) |
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(+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
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(fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)) |
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(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(fma.f64 x (*.f64 #s(literal 1/120 binary64) x) #s(literal -1/6 binary64)) |
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(-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x))) |
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(-.f64 #s(literal -1/6 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/120 binary64) x))) |
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(+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal -1/6 binary64)) |
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(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x))) |
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) (pow.f64 x #s(literal 3 binary64)))) |
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) (pow.f64 x #s(literal 3 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) (pow.f64 x #s(literal 3 binary64)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x))) |
(+.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) (pow.f64 x #s(literal 3 binary64)))) |
(+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x))) |
(/.f64 (-.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 2 binary64))) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal -1/6 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1/216 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal -1/6 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal -1/6 binary64))) |
(/.f64 (+.f64 #s(literal -1/216 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/36 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) (*.f64 x #s(literal -1/6 binary64)))))) |
(/.f64 (+.f64 #s(literal -1/216 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 3 binary64))) (fma.f64 #s(literal -1/6 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (fabs.f64 x)) (fabs.f64 x) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (neg.f64 x)) (neg.f64 x) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) |
(fma.f64 x (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) #s(literal -1/6 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal -1/6 binary64)))) |
(-.f64 #s(literal -1/6 binary64) (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)) x)) |
(-.f64 #s(literal -1/6 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x))) |
(-.f64 #s(literal -1/6 binary64) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 2 binary64)))) (/.f64 #s(literal -1/216 binary64) (fma.f64 #s(literal -1/6 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal -1/6 binary64)) |
(+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x)) |
(/.f64 (-.f64 #s(literal 1/14400 binary64) (pow.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)) #s(literal 2 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/14400 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)) #s(literal 1/120 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/1728000 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/14400 binary64)) (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)) #s(literal 1/120 binary64))) |
(/.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/1728000 binary64)) (+.f64 #s(literal 1/14400 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64))))) |
(/.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/1728000 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/5040 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 #s(literal -1/5040 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64)) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(fma.f64 x (*.f64 #s(literal -1/5040 binary64) x) #s(literal 1/120 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)) #s(literal 1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)) #s(literal 1/120 binary64)))) |
(-.f64 #s(literal 1/120 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/5040 binary64) x)) x)) |
(-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1/120 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/5040 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64)))) (/.f64 #s(literal 1/1728000 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64))))) |
(+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)) #s(literal 1/120 binary64)) |
(+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) |
#s(literal -1/5040 binary64) |
Compiled 6 145 to 875 computations (85.8% saved)
12 alts after pruning (9 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 268 | 9 | 277 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 1 | 1 |
| Total | 270 | 12 | 282 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 69.8% | (-.f64 (sin.f64 x) x) |
| 98.7% | #s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) | |
| ▶ | 98.7% | #s(approx (- (sin x) x) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/36 binary64))) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal -1/6 binary64)))) |
| ▶ | 98.8% | #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) x))) |
| ✓ | 98.6% | #s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
| ▶ | 99.0% | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
| 98.8% | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) | |
| ▶ | 98.6% | #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) |
| 98.6% | #s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))) | |
| ▶ | 98.6% | #s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
| ✓ | 6.4% | #s(approx (- (sin x) x) (neg.f64 x)) |
| 37.2% | #s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) |
Compiled 379 to 248 computations (34.6% saved)
| Inputs |
|---|
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) |
(*.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) |
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
(*.f64 x x) |
x |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 x x) x) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) x))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) x)) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/36 binary64))) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/36 binary64))) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal -1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/36 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(-.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) |
(pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
#s(literal 2 binary64) |
#s(literal 1/36 binary64) |
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal -1/6 binary64)) |
| Outputs |
|---|
(* -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)) |
-1/6 |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
1/120 |
(+ 1/120 (* -1/5040 (pow x 2))) |
(pow x 2) |
x |
(* -1/6 (pow x 2)) |
(pow x 3) |
(* -1/36 (pow x 3)) |
(* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) |
-1/36 |
(- (* 1/14400 (pow x 4)) 1/36) |
(* 1/14400 (pow x 4)) |
(* 1/120 (pow x 2)) |
1/6 |
(+ 1/6 (* 1/120 (pow x 2))) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* -1/5040 (pow x 7)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 5)) |
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 4)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/14400 (pow x 7)) |
(* (pow x 7) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))) |
(* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 1/14400))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | ((- (sin x) x) (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (* x x)) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120) -1/5040 (* x x) x 1/120 -1/6 (- (sin x) x) (* (* -1/6 (* x x)) x) (* -1/6 (* x x)) (- (sin x) x) (* (* (* x x) x) -1/6) (* (* x x) x) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (* (* x x) x)) (+ (* (* x x) 1/120) -1/6) (- (sin x) x) (/ (* (pow x 3) (- (pow (* 1/120 (* x x)) 2) 1/36)) (- (* 1/120 (* x x)) -1/6)) (* (pow x 3) (- (pow (* 1/120 (* x x)) 2) 1/36)) (pow x 3) 3 (- (pow (* 1/120 (* x x)) 2) 1/36) (pow (* 1/120 (* x x)) 2) (* 1/120 (* x x)) 2 1/36 (- (* 1/120 (* x x)) -1/6)) |
| 4.0ms | x | @ | inf | ((- (sin x) x) (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (* x x)) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120) -1/5040 (* x x) x 1/120 -1/6 (- (sin x) x) (* (* -1/6 (* x x)) x) (* -1/6 (* x x)) (- (sin x) x) (* (* (* x x) x) -1/6) (* (* x x) x) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (* (* x x) x)) (+ (* (* x x) 1/120) -1/6) (- (sin x) x) (/ (* (pow x 3) (- (pow (* 1/120 (* x x)) 2) 1/36)) (- (* 1/120 (* x x)) -1/6)) (* (pow x 3) (- (pow (* 1/120 (* x x)) 2) 1/36)) (pow x 3) 3 (- (pow (* 1/120 (* x x)) 2) 1/36) (pow (* 1/120 (* x x)) 2) (* 1/120 (* x x)) 2 1/36 (- (* 1/120 (* x x)) -1/6)) |
| 2.0ms | x | @ | 0 | ((- (sin x) x) (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (* x x)) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120) -1/5040 (* x x) x 1/120 -1/6 (- (sin x) x) (* (* -1/6 (* x x)) x) (* -1/6 (* x x)) (- (sin x) x) (* (* (* x x) x) -1/6) (* (* x x) x) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (* (* x x) x)) (+ (* (* x x) 1/120) -1/6) (- (sin x) x) (/ (* (pow x 3) (- (pow (* 1/120 (* x x)) 2) 1/36)) (- (* 1/120 (* x x)) -1/6)) (* (pow x 3) (- (pow (* 1/120 (* x x)) 2) 1/36)) (pow x 3) 3 (- (pow (* 1/120 (* x x)) 2) 1/36) (pow (* 1/120 (* x x)) 2) (* 1/120 (* x x)) 2 1/36 (- (* 1/120 (* x x)) -1/6)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 101 | 431 |
| 1 | 240 | 431 |
| 2 | 719 | 431 |
| 3 | 2841 | 423 |
| 4 | 7849 | 423 |
| 0 | 8022 | 404 |
| 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)) |
-1/6 |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
1/120 |
(+ 1/120 (* -1/5040 (pow x 2))) |
(pow x 2) |
x |
(* -1/6 (pow x 2)) |
(pow x 3) |
(* -1/36 (pow x 3)) |
(* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) |
-1/36 |
(- (* 1/14400 (pow x 4)) 1/36) |
(* 1/14400 (pow x 4)) |
(* 1/120 (pow x 2)) |
1/6 |
(+ 1/6 (* 1/120 (pow x 2))) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* -1/5040 (pow x 7)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 5)) |
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 4)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/14400 (pow x 7)) |
(* (pow x 7) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))) |
(* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 1/14400))) |
| 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 #s(literal -1/6 binary64) x) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) |
(* x (- (* (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) |
-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)) |
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)) |
(pow x 2) |
(*.f64 x x) |
x |
(* -1/6 (pow x 2)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) x) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* -1/36 (pow x 3)) |
(*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) |
-1/36 |
#s(literal -1/36 binary64) |
(- (* 1/14400 (pow x 4)) 1/36) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) |
(* 1/14400 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/120 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* -1/5040 (pow x 7)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 7 binary64))) |
(* -1/5040 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/5040 binary64)) |
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x)))) |
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64))) |
(* -1/5040 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* -1/5040 (pow x 2)) |
(*.f64 #s(literal -1/5040 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) x) x) |
(* 1/120 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(* 1/14400 (pow x 7)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/14400 binary64)) |
(* (pow x 7) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))) |
(*.f64 (-.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 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 7) (- (* 1/36 (/ 1 (pow x 4))) 1/14400))) |
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/14400 binary64))) (pow.f64 x #s(literal 7 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 253 |
| 0 | 53 | 213 |
| 1 | 190 | 207 |
| 0 | 1184 | 205 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) |
(*.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) |
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
(*.f64 x x) |
x |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 x x) x) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) x))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) x)) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/36 binary64))) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/36 binary64))) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal -1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/36 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(-.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) |
(pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
#s(literal 2 binary64) |
#s(literal 1/36 binary64) |
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal -1/6 binary64)) |
| Outputs |
|---|
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) x) |
(*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) x) |
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(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fabs.f64 x)) (fabs.f64 x) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) #s(literal -1/6 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal -1/6 binary64)))) |
(-.f64 #s(literal -1/6 binary64) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x)) x)) |
(-.f64 #s(literal -1/6 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x))) |
(-.f64 #s(literal -1/6 binary64) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 2 binary64)))) (/.f64 #s(literal -1/216 binary64) (fma.f64 #s(literal -1/6 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal -1/6 binary64)) |
(+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x)) |
(/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/14400 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/1728000 binary64))) (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/14400 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) |
(/.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/1728000 binary64)) (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64))))) |
(/.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64))))) |
(fma.f64 (*.f64 #s(literal -1/5040 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 #s(literal -1/5040 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
(fma.f64 x (*.f64 #s(literal -1/5040 binary64) x) #s(literal 1/120 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) |
(-.f64 #s(literal 1/120 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/5040 binary64) x)) x)) |
(-.f64 #s(literal 1/120 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/5040 binary64))) |
(-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 x x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64))))) (/.f64 #s(literal 1/1728000 binary64) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64)))))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) |
#s(literal -1/5040 binary64) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) x) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 x x) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 x (neg.f64 x))) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
x |
#s(literal 1/120 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 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 #s(literal -1/6 binary64) x))) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 #s(literal -1/6 binary64) x))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) x) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1/6 binary64))) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/6 binary64))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) x)) |
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) |
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(*.f64 (*.f64 #s(literal 1/120 binary64) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/120 binary64)) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 1/120 binary64) x) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1/120 binary64) x) x) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/120 binary64))) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/120 binary64))) |
(*.f64 #s(literal 1/120 binary64) (pow.f64 (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) x)) |
(pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) #s(literal 1 binary64))) |
#s(literal 2 binary64) |
#s(literal 1/36 binary64) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal -1/6 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 3 binary64)) #s(literal -1/216 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/36 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 4 binary64)) #s(literal 1/1296 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 6 binary64)) #s(literal 1/46656 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 4 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 3 binary64)) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/36 binary64)))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/36 binary64)))) (/.f64 #s(literal -1/216 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/36 binary64))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) |
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal -1/6 binary64)) |
Compiled 12 920 to 1 888 computations (85.4% saved)
12 alts after pruning (5 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 521 | 4 | 525 |
| Fresh | 3 | 1 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 525 | 12 | 537 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 69.8% | (-.f64 (sin.f64 x) x) |
| ▶ | 98.7% | #s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))) |
| ▶ | 98.8% | #s(approx (- (sin x) x) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (pow (* 1/120 (* x x)) 2) 1/36) #s(literal -1/36 binary64))) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal -1/6 binary64)))) |
| ✓ | 98.8% | #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) x))) |
| ✓ | 98.6% | #s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
| ✓ | 99.0% | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
| ▶ | 98.8% | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
| ✓ | 98.6% | #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) |
| ▶ | 98.6% | #s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
| ✓ | 98.6% | #s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
| ✓ | 6.4% | #s(approx (- (sin x) x) (neg.f64 x)) |
| ▶ | 37.2% | #s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) |
Compiled 358 to 248 computations (30.7% saved)
| Inputs |
|---|
#s(approx (- (sin x) x) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (pow (* 1/120 (* x x)) 2) 1/36) #s(literal -1/36 binary64))) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (pow (* 1/120 (* x x)) 2) 1/36) #s(literal -1/36 binary64))) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal -1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (pow (* 1/120 (* x x)) 2) 1/36) #s(literal -1/36 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(approx (- (pow (* 1/120 (* x x)) 2) 1/36) #s(literal -1/36 binary64)) |
#s(literal -1/36 binary64) |
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal -1/6 binary64)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
#s(literal 1/120 binary64) |
(*.f64 x x) |
#s(literal -1/6 binary64) |
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
(*.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)) |
(*.f64 #s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) |
#s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
(*.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) |
(*.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) |
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) |
#s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
#s(literal 1/6 binary64) |
(pow.f64 x #s(literal 5 binary64)) |
#s(literal 5 binary64) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3 binary64)) |
#s(literal 1/1728000 binary64) |
#s(literal -1/216 binary64) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 1/14400 binary64) |
(-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) |
#s(literal 1/36 binary64) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
#s(literal -1/720 binary64) |
| Outputs |
|---|
(* -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)) |
(* -1/36 (pow x 3)) |
(* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) |
(pow x 3) |
x |
-1/36 |
(- (* 1/14400 (pow x 4)) 1/36) |
1/6 |
(+ 1/6 (* 1/120 (pow x 2))) |
(* 1/120 (pow x 2)) |
(pow x 2) |
(* -1/6 x) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
-1/6 |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
1/120 |
(+ 1/120 (* -1/5040 (pow x 2))) |
(/ -1/6 (pow x 2)) |
(/ (- (* 1/120 (pow x 2)) 1/6) (pow x 2)) |
(/ 1/6 (pow x 2)) |
(pow x 5) |
(* -1/216 (pow x 3)) |
(* (pow x 3) (- (* 1/1728000 (pow x 6)) 1/216)) |
-1/216 |
(- (* 1/1728000 (pow x 6)) 1/216) |
(pow x 6) |
1/36 |
(+ 1/36 (* 1/720 (pow x 2))) |
(+ 1/36 (* (pow x 2) (+ 1/720 (* 1/14400 (pow x 2))))) |
(pow x 4) |
(* -1/720 (pow x 2)) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/14400 (pow x 7)) |
(* (pow x 7) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))) |
(* 1/14400 (pow x 4)) |
(* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* -1/5040 (pow x 7)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 5)) |
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 4)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(- 1/120 (* 1/6 (/ 1 (pow x 2)))) |
(* 1/1728000 (pow x 9)) |
(* (pow x 9) (- 1/1728000 (* 1/216 (/ 1 (pow x 6))))) |
(* 1/1728000 (pow x 6)) |
(* (pow x 6) (- 1/1728000 (* 1/216 (/ 1 (pow x 6))))) |
(* (pow x 4) (+ 1/14400 (* 1/720 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/14400 (+ (/ 1/36 (pow x 4)) (* 1/720 (/ 1 (pow x 2)))))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/36 (/ 1 (pow x 2))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 1/14400))) |
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 9) (- (* 1/216 (/ 1 (pow x 6))) 1/1728000))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | x | @ | inf | ((- (sin x) x) (/ (* (pow x 3) (- (pow (* 1/120 (* x x)) 2) 1/36)) (- (* 1/120 (* x x)) -1/6)) (* (pow x 3) (- (pow (* 1/120 (* x x)) 2) 1/36)) (pow x 3) x 3 (- (pow (* 1/120 (* x x)) 2) 1/36) -1/36 (- (* 1/120 (* x x)) -1/6) (* 1/120 (* x x)) 1/120 (* x x) -1/6 (- (sin x) x) (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (* x x)) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (- (sin x) x) (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (* x x)) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (* (- 1/120 (/ 1/6 (* x x))) (pow x 5)) (- 1/120 (/ 1/6 (* x x))) (/ 1/6 (* x x)) 1/6 (pow x 5) 5 (- (sin x) x) (/ (* (+ (* (pow (* x x) 3) 1/1728000) -1/216) (pow x 3)) (+ (* (pow x 4) 1/14400) (- 1/36 (* (* x x) -1/720)))) (* (+ (* (pow (* x x) 3) 1/1728000) -1/216) (pow x 3)) (+ (* (pow (* x x) 3) 1/1728000) -1/216) (pow (* x x) 3) 1/1728000 -1/216 (+ (* (pow x 4) 1/14400) (- 1/36 (* (* x x) -1/720))) (pow x 4) 4 1/14400 (- 1/36 (* (* x x) -1/720)) 1/36 (* (* x x) -1/720) -1/720) |
| 6.0ms | x | @ | -inf | ((- (sin x) x) (/ (* (pow x 3) (- (pow (* 1/120 (* x x)) 2) 1/36)) (- (* 1/120 (* x x)) -1/6)) (* (pow x 3) (- (pow (* 1/120 (* x x)) 2) 1/36)) (pow x 3) x 3 (- (pow (* 1/120 (* x x)) 2) 1/36) -1/36 (- (* 1/120 (* x x)) -1/6) (* 1/120 (* x x)) 1/120 (* x x) -1/6 (- (sin x) x) (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (* x x)) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (- (sin x) x) (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (* x x)) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (* (- 1/120 (/ 1/6 (* x x))) (pow x 5)) (- 1/120 (/ 1/6 (* x x))) (/ 1/6 (* x x)) 1/6 (pow x 5) 5 (- (sin x) x) (/ (* (+ (* (pow (* x x) 3) 1/1728000) -1/216) (pow x 3)) (+ (* (pow x 4) 1/14400) (- 1/36 (* (* x x) -1/720)))) (* (+ (* (pow (* x x) 3) 1/1728000) -1/216) (pow x 3)) (+ (* (pow (* x x) 3) 1/1728000) -1/216) (pow (* x x) 3) 1/1728000 -1/216 (+ (* (pow x 4) 1/14400) (- 1/36 (* (* x x) -1/720))) (pow x 4) 4 1/14400 (- 1/36 (* (* x x) -1/720)) 1/36 (* (* x x) -1/720) -1/720) |
| 4.0ms | x | @ | 0 | ((- (sin x) x) (/ (* (pow x 3) (- (pow (* 1/120 (* x x)) 2) 1/36)) (- (* 1/120 (* x x)) -1/6)) (* (pow x 3) (- (pow (* 1/120 (* x x)) 2) 1/36)) (pow x 3) x 3 (- (pow (* 1/120 (* x x)) 2) 1/36) -1/36 (- (* 1/120 (* x x)) -1/6) (* 1/120 (* x x)) 1/120 (* x x) -1/6 (- (sin x) x) (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (* x x)) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (- (sin x) x) (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (* x x)) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (* (- 1/120 (/ 1/6 (* x x))) (pow x 5)) (- 1/120 (/ 1/6 (* x x))) (/ 1/6 (* x x)) 1/6 (pow x 5) 5 (- (sin x) x) (/ (* (+ (* (pow (* x x) 3) 1/1728000) -1/216) (pow x 3)) (+ (* (pow x 4) 1/14400) (- 1/36 (* (* x x) -1/720)))) (* (+ (* (pow (* x x) 3) 1/1728000) -1/216) (pow x 3)) (+ (* (pow (* x x) 3) 1/1728000) -1/216) (pow (* x x) 3) 1/1728000 -1/216 (+ (* (pow x 4) 1/14400) (- 1/36 (* (* x x) -1/720))) (pow x 4) 4 1/14400 (- 1/36 (* (* x x) -1/720)) 1/36 (* (* x x) -1/720) -1/720) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 141 | 602 |
| 1 | 352 | 602 |
| 2 | 1055 | 592 |
| 3 | 4408 | 590 |
| 0 | 8448 | 568 |
| 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)) |
(* -1/36 (pow x 3)) |
(* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) |
(pow x 3) |
x |
-1/36 |
(- (* 1/14400 (pow x 4)) 1/36) |
1/6 |
(+ 1/6 (* 1/120 (pow x 2))) |
(* 1/120 (pow x 2)) |
(pow x 2) |
(* -1/6 x) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
-1/6 |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
1/120 |
(+ 1/120 (* -1/5040 (pow x 2))) |
(/ -1/6 (pow x 2)) |
(/ (- (* 1/120 (pow x 2)) 1/6) (pow x 2)) |
(/ 1/6 (pow x 2)) |
(pow x 5) |
(* -1/216 (pow x 3)) |
(* (pow x 3) (- (* 1/1728000 (pow x 6)) 1/216)) |
-1/216 |
(- (* 1/1728000 (pow x 6)) 1/216) |
(pow x 6) |
1/36 |
(+ 1/36 (* 1/720 (pow x 2))) |
(+ 1/36 (* (pow x 2) (+ 1/720 (* 1/14400 (pow x 2))))) |
(pow x 4) |
(* -1/720 (pow x 2)) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/14400 (pow x 7)) |
(* (pow x 7) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))) |
(* 1/14400 (pow x 4)) |
(* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* -1/5040 (pow x 7)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 5)) |
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 4)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(- 1/120 (* 1/6 (/ 1 (pow x 2)))) |
(* 1/1728000 (pow x 9)) |
(* (pow x 9) (- 1/1728000 (* 1/216 (/ 1 (pow x 6))))) |
(* 1/1728000 (pow x 6)) |
(* (pow x 6) (- 1/1728000 (* 1/216 (/ 1 (pow x 6))))) |
(* (pow x 4) (+ 1/14400 (* 1/720 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/14400 (+ (/ 1/36 (pow x 4)) (* 1/720 (/ 1 (pow x 2)))))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/36 (/ 1 (pow x 2))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 1/14400))) |
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 9) (- (* 1/216 (/ 1 (pow x 6))) 1/1728000))) |
| 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 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (*.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))) |
(* -1/36 (pow x 3)) |
(*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
x |
-1/36 |
#s(literal -1/36 binary64) |
(- (* 1/14400 (pow x 4)) 1/36) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/120 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) |
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) 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 (*.f64 x x) #s(literal -1/5040 binary64) #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 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(/ -1/6 (pow x 2)) |
(/.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(/ (- (* 1/120 (pow x 2)) 1/6) (pow x 2)) |
(-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64)) |
(/ 1/6 (pow x 2)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(* -1/216 (pow x 3)) |
(*.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* 1/1728000 (pow x 6)) 1/216)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) (pow.f64 x #s(literal 3 binary64))) |
-1/216 |
#s(literal -1/216 binary64) |
(- (* 1/1728000 (pow x 6)) 1/216) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) |
(pow x 6) |
(pow.f64 x #s(literal 6 binary64)) |
1/36 |
#s(literal 1/36 binary64) |
(+ 1/36 (* 1/720 (pow x 2))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/36 binary64)) |
(+ 1/36 (* (pow x 2) (+ 1/720 (* 1/14400 (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal 1/36 binary64))) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* -1/720 (pow x 2)) |
(*.f64 #s(literal -1/720 binary64) (*.f64 x x)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ (sin x) x) 1)) |
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) |
(* 1/120 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* 1/14400 (pow x 7)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/14400 binary64)) |
(* (pow x 7) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))) |
(*.f64 (-.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 7 binary64))) |
(* 1/14400 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) |
(* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))) |
(*.f64 (-.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(* -1/5040 (pow x 7)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 7 binary64))) |
(* -1/5040 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/5040 binary64)) |
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64))) |
(* -1/5040 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* -1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) x) x) |
(- 1/120 (* 1/6 (/ 1 (pow x 2)))) |
(-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64)) |
(* 1/1728000 (pow x 9)) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/1728000 binary64)) |
(* (pow x 9) (- 1/1728000 (* 1/216 (/ 1 (pow x 6))))) |
(*.f64 (-.f64 #s(literal 1/1728000 binary64) (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 9 binary64))) |
(* 1/1728000 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) |
(* (pow x 6) (- 1/1728000 (* 1/216 (/ 1 (pow x 6))))) |
(*.f64 (-.f64 #s(literal 1/1728000 binary64) (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 4) (+ 1/14400 (* 1/720 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/14400 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1/14400 (+ (/ 1/36 (pow x 4)) (* 1/720 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (-.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/720 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* 1/720 (pow x 2)) |
(*.f64 #s(literal 1/720 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/720 (* 1/36 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/36 binary64)) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) |
(* -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 7) (- (* 1/36 (/ 1 (pow x 4))) 1/14400))) |
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/14400 binary64))) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal -1/5040 binary64))) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal -1/5040 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 9) (- (* 1/216 (/ 1 (pow x 6))) 1/1728000))) |
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/1728000 binary64))) (pow.f64 x #s(literal 9 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 455 |
| 0 | 90 | 447 |
| 1 | 321 | 405 |
| 0 | 2319 | 384 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (sin x) x) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (pow (* 1/120 (* x x)) 2) 1/36) #s(literal -1/36 binary64))) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (pow (* 1/120 (* x x)) 2) 1/36) #s(literal -1/36 binary64))) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal -1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (pow (* 1/120 (* x x)) 2) 1/36) #s(literal -1/36 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(approx (- (pow (* 1/120 (* x x)) 2) 1/36) #s(literal -1/36 binary64)) |
#s(literal -1/36 binary64) |
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal -1/6 binary64)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
#s(literal 1/120 binary64) |
(*.f64 x x) |
#s(literal -1/6 binary64) |
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
(*.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)) |
(*.f64 #s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) |
#s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
(*.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) |
(*.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) |
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) |
#s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
#s(literal 1/6 binary64) |
(pow.f64 x #s(literal 5 binary64)) |
#s(literal 5 binary64) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3 binary64)) |
#s(literal 1/1728000 binary64) |
#s(literal -1/216 binary64) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 1/14400 binary64) |
(-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) |
#s(literal 1/36 binary64) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
#s(literal -1/720 binary64) |
| Outputs |
|---|
#s(approx (- (sin x) x) (/.f64 (*.f64 #s(approx (- (pow (* 1/120 (* x x)) 2) 1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (* 1/120 (* x x)) 2) 1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1/216 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/36 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (* 1/120 (* x x)) 2) 1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(*.f64 (/.f64 #s(approx (- (pow (* 1/120 (* x x)) 2) 1/36) #s(literal -1/36 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 #s(approx (- (pow (* 1/120 (* x x)) 2) 1/36) #s(literal -1/36 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(*.f64 (*.f64 x x) (*.f64 x (/.f64 #s(approx (- (pow (* 1/120 (* x x)) 2) 1/36) #s(literal -1/36 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(*.f64 #s(approx (- (pow (* 1/120 (* x x)) 2) 1/36) #s(literal -1/36 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(approx (- (pow (* 1/120 (* x x)) 2) 1/36) #s(literal -1/36 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 (*.f64 x x) (/.f64 #s(approx (- (pow (* 1/120 (* x x)) 2) 1/36) #s(literal -1/36 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 #s(approx (- (pow (* 1/120 (* x x)) 2) 1/36) #s(literal -1/36 binary64))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 (neg.f64 #s(approx (- (pow (* 1/120 (* x x)) 2) 1/36) #s(literal -1/36 binary64))) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 #s(approx (- (pow (* 1/120 (* x x)) 2) 1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 #s(approx (- (pow (* 1/120 (* x x)) 2) 1/36) #s(literal -1/36 binary64))) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(neg.f64 (/.f64 (*.f64 #s(approx (- (pow (* 1/120 (* x x)) 2) 1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(*.f64 (*.f64 #s(approx (- (pow (* 1/120 (* x x)) 2) 1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 #s(approx (- (pow (* 1/120 (* x x)) 2) 1/36) #s(literal -1/36 binary64)) (*.f64 x x)) x) |
(*.f64 (*.f64 #s(approx (- (pow (* 1/120 (* x x)) 2) 1/36) #s(literal -1/36 binary64)) x) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(approx (- (pow (* 1/120 (* x x)) 2) 1/36) #s(literal -1/36 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 x #s(approx (- (pow (* 1/120 (* x x)) 2) 1/36) #s(literal -1/36 binary64)))) |
(*.f64 #s(approx (- (pow (* 1/120 (* x x)) 2) 1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (pow (* 1/120 (* x x)) 2) 1/36) #s(literal -1/36 binary64))) |
(*.f64 x (*.f64 (*.f64 x x) #s(approx (- (pow (* 1/120 (* x x)) 2) 1/36) #s(literal -1/36 binary64)))) |
(*.f64 (*.f64 x (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (pow.f64 (*.f64 x x) #s(literal 3/4 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/4 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x (*.f64 x x)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) |
x |
#s(literal 3 binary64) |
#s(approx (- (pow (* 1/120 (* x x)) 2) 1/36) #s(literal -1/36 binary64)) |
#s(literal -1/36 binary64) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1/216 binary64))) (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/36 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 4 binary64)) #s(literal 1/1296 binary64)) (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1/216 binary64)) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/36 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/2985984000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/46656 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/1296 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/36 binary64)))) (/.f64 #s(literal -1/216 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/36 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 #s(literal 1/120 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 1/120 binary64) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 1/120 binary64) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/120 binary64)) |
(*.f64 (*.f64 #s(literal 1/120 binary64) x) x) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/120 binary64))) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/120 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(*.f64 #s(literal 1/120 binary64) (pow.f64 (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) x)) |
(pow.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/120 binary64))) #s(literal 1 binary64))) |
#s(literal 1/120 binary64) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) x) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 x x) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
#s(literal -1/6 binary64) |
#s(approx (- (sin x) x) (*.f64 #s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64))) x) |
(*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 #s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x))) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 #s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x))) |
(*.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)) |
(*.f64 #s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (*.f64 x x) (*.f64 #s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64))) |
(*.f64 x (*.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) x)) |
(*.f64 #s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) |
(*.f64 x #s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64))) |
#s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
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#s(literal 1/6 binary64) |
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(pow.f64 (exp.f64 (log.f64 x)) #s(literal 5 binary64)) |
(pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 5/2 binary64)) |
(pow.f64 x #s(literal 5 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 5 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 5 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 5 binary64)))) |
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(+.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) |
(+.f64 #s(literal 1/36 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal -1/720 binary64) x))) |
(+.f64 #s(literal 1/36 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) |
(+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1/720 binary64))) |
#s(literal 1/36 binary64) |
(*.f64 (*.f64 #s(literal -1/720 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal -1/720 binary64) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 (*.f64 #s(literal -1/720 binary64) x) x) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1/720 binary64))) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/720 binary64))) |
(*.f64 #s(literal -1/720 binary64) (*.f64 x x)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 x (*.f64 (*.f64 #s(literal 1/120 binary64) x) #s(literal -1/6 binary64))) |
(*.f64 x (*.f64 #s(literal -1/720 binary64) x)) |
(neg.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
#s(literal -1/720 binary64) |
Compiled 19 560 to 2 364 computations (87.9% saved)
14 alts after pruning (5 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 591 | 5 | 596 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 7 | 7 |
| Total | 594 | 14 | 608 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 69.8% | (-.f64 (sin.f64 x) x) |
| 98.5% | #s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(approx (+ (* (pow x 4) 1/14400) (- 1/36 (* (* x x) -1/720))) #s(literal 1/36 binary64)))) | |
| 98.8% | #s(approx (- (sin x) x) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(approx (- (pow (* 1/120 (* x x)) 2) 1/36) #s(literal -1/36 binary64))) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal -1/6 binary64)))) | |
| 98.8% | #s(approx (- (sin x) x) (/.f64 (*.f64 (*.f64 #s(approx (- (pow (* 1/120 (* x x)) 2) 1/36) #s(literal -1/36 binary64)) (*.f64 x x)) x) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal -1/6 binary64)))) | |
| ✓ | 98.8% | #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) x))) |
| ✓ | 98.6% | #s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
| 69.8% | #s(approx (- (sin x) x) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)) | |
| ✓ | 99.0% | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
| ✓ | 98.8% | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
| ✓ | 98.6% | #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) |
| ✓ | 98.6% | #s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
| ✓ | 98.6% | #s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
| ✓ | 6.4% | #s(approx (- (sin x) x) (neg.f64 x)) |
| 37.0% | #s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 #s(approx (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) |
Compiled 759 to 324 computations (57.3% saved)
| Inputs |
|---|
#s(approx (- (sin x) x) (neg.f64 x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* -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 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (*.f64 #s(approx (- (pow (* 1/120 (* x x)) 2) 1/36) #s(literal -1/36 binary64)) (*.f64 x x)) x) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal -1/6 binary64)))) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(approx (- (pow (* 1/120 (* x x)) 2) 1/36) #s(literal -1/36 binary64))) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal -1/6 binary64)))) |
(-.f64 (sin.f64 x) x) |
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- (sin x) x) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)) |
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 #s(approx (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) |
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (pow (* 1/120 (* x x)) 2) 1/36) #s(literal -1/36 binary64))) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal -1/6 binary64)))) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(approx (+ (* (pow x 4) 1/14400) (- 1/36 (* (* x x) -1/720))) #s(literal 1/36 binary64)))) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/36 binary64))) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal -1/6 binary64)))) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) |
| Outputs |
|---|
#s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
2 calls:
| 7.0ms | x |
| 4.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 1 | (-.f64 (sin.f64 x) x) |
| 99.0% | 1 | x |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (- (sin x) x) (neg.f64 x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* -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 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (*.f64 #s(approx (- (pow (* 1/120 (* x x)) 2) 1/36) #s(literal -1/36 binary64)) (*.f64 x x)) x) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal -1/6 binary64)))) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(approx (- (pow (* 1/120 (* x x)) 2) 1/36) #s(literal -1/36 binary64))) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal -1/6 binary64)))) |
(-.f64 (sin.f64 x) x) |
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- (sin x) x) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)) |
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 #s(approx (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) |
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) |
| Outputs |
|---|
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
2 calls:
| 5.0ms | x |
| 3.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 1 | (-.f64 (sin.f64 x) x) |
| 99.0% | 1 | x |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (- (sin x) x) (neg.f64 x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* -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 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) x))) |
| Outputs |
|---|
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
2 calls:
| 4.0ms | x |
| 2.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 1 | (-.f64 (sin.f64 x) x) |
| 98.8% | 1 | x |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (- (sin x) x) (neg.f64 x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) |
| Outputs |
|---|
#s(approx (- (sin x) 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 |
|---|---|---|
| 98.6% | 1 | (-.f64 (sin.f64 x) x) |
| 98.6% | 1 | x |
Compiled 5 to 4 computations (20% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (- (sin x) x) (neg.f64 x)) |
| Outputs |
|---|
#s(approx (- (sin x) x) (neg.f64 x)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 6.4% | 1 | (-.f64 (sin.f64 x) x) |
| 6.4% | 1 | x |
Compiled 5 to 4 computations (20% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 78 |
| 1 | 30 | 78 |
| 2 | 31 | 78 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (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 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
#s(approx (- (sin x) x) (neg.f64 x)) |
| Outputs |
|---|
#s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (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 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
#s(approx (- (sin x) x) (neg.f64 x)) |
| 1× | fuel |
Compiled 78 to 25 computations (67.9% saved)
Compiled 218 to 100 computations (54.1% saved)
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