
Time bar (total: 6.7s)
| 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)
| 668.0ms | 7 232× | 1 | valid |
| 177.0ms | 513× | 2 | valid |
| 24.0ms | 511× | 0 | valid |
ival-sin: 240.0ms (43.2% of total)ival-sub: 134.0ms (24.1% of total)adjust: 115.0ms (20.7% of total)ival-<: 41.0ms (7.4% of total)ival-and: 12.0ms (2.2% of total)exact: 10.0ms (1.8% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 84 | 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 | 84 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 84 | 0 |
| - | 0 | 172 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 84 | 0 | 0 |
| - | 0 | 0 | 172 |
| number | freq |
|---|---|
| 0 | 172 |
| 1 | 84 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 67.0ms | 470× | 1 | valid |
| 3.0ms | 26× | 2 | valid |
| 1.0ms | 16× | 0 | valid |
Compiled 22 to 13 computations (40.9% saved)
ival-sub: 39.0ms (68.3% of total)ival-sin: 11.0ms (19.3% of total)adjust: 6.0ms (10.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 13 |
| 1 | 7 | 13 |
| 2 | 14 | 13 |
| 3 | 22 | 13 |
| 4 | 34 | 13 |
| 5 | 56 | 13 |
| 6 | 78 | 13 |
| 7 | 131 | 13 |
| 8 | 209 | 13 |
| 9 | 359 | 13 |
| 10 | 964 | 13 |
| 11 | 4232 | 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 |
|---|---|---|
| ▶ | 70.4% | (-.f64 (sin.f64 x) x) |
Compiled 4 to 3 computations (25% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (-.f64 (sin.f64 x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 7 |
| 0 | 5 | 7 |
| 0 | 5 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (sin.f64 x) x) |
(sin.f64 x) |
x |
| Outputs |
|---|
(-.f64 (sin.f64 x) x) |
(sin.f64 x) |
x |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sin.f64 x) | |
| accuracy | 18.959144952507557 | (-.f64 (sin.f64 x) x) |
| 16.0ms | 235× | 1 | valid |
| 2.0ms | 13× | 2 | valid |
| 0.0ms | 8× | 0 | valid |
Compiled 9 to 5 computations (44.4% saved)
ival-sin: 6.0ms (54.2% of total)adjust: 3.0ms (27.1% of total)ival-sub: 2.0ms (18.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (sin.f64 x) x) |
(sin.f64 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 | @ | 0 | ((- (sin x) x) (sin x)) |
| 0.0ms | x | @ | inf | ((- (sin x) x) (sin x)) |
| 0.0ms | x | @ | -inf | ((- (sin x) x) (sin x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 122 |
| 1 | 130 | 116 |
| 2 | 373 | 116 |
| 3 | 1349 | 108 |
| 4 | 3167 | 108 |
| 5 | 6680 | 108 |
| 0 | 8587 | 102 |
| 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 (-.f64 (*.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 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.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 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #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 (-.f64 (*.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 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #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 | 6 |
| 0 | 5 | 6 |
| 1 | 18 | 6 |
| 2 | 128 | 6 |
| 3 | 1310 | 6 |
| 0 | 9927 | 6 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (sin.f64 x) x) |
(sin.f64 x) |
| Outputs |
|---|
(*.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 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (sin.f64 x) x) x) #s(literal 2 binary64))))) (/.f64 (-.f64 (sin.f64 x) (neg.f64 x)) (fma.f64 x (-.f64 x (sin.f64 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) (-.f64 (*.f64 (-.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))))) |
(*.f64 (/.f64 (+.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 x (-.f64 x (sin.f64 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 (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 x (-.f64 x (sin.f64 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)) (-.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)) x) (fma.f64 x (-.f64 x (sin.f64 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 x (-.f64 x (sin.f64 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)) 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 x (-.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) |
(*.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) (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (sin.f64 x) x) x) #s(literal 2 binary64))))) (/.f64 (-.f64 (neg.f64 (sin.f64 x)) x) (fma.f64 x (-.f64 x (sin.f64 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 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (sin.f64 x) x) x) #s(literal 2 binary64))))) (/.f64 (-.f64 (neg.f64 (sin.f64 x)) (neg.f64 x)) (fma.f64 x (-.f64 x (sin.f64 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 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (sin.f64 x) x) x) #s(literal 2 binary64))))) (/.f64 (-.f64 (sin.f64 x) x) (fma.f64 x (-.f64 x (sin.f64 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)) x) (fma.f64 (*.f64 (-.f64 (sin.f64 x) x) x) (-.f64 (*.f64 (-.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))))) |
(*.f64 (/.f64 (-.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) (-.f64 (*.f64 (-.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))))) |
(*.f64 (/.f64 (-.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) (-.f64 (*.f64 (-.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))))) |
(*.f64 (/.f64 (-.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 (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 (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) 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 (sin.f64 x) x) (fma.f64 x (-.f64 x (sin.f64 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 x (-.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (fma.f64 x (-.f64 x (sin.f64 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 x (-.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (fma.f64 x (-.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (-.f64 (sin.f64 x) x) (/.f64 (-.f64 (sin.f64 x) x) (fma.f64 x (-.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) |
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(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (sin.f64 x) x))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (sin.f64 x) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 (sin.f64 x) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (sin.f64 x) x)) (*.f64 x (/.f64 x (-.f64 (sin.f64 x) x))))))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (sin.f64 x) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 (sin.f64 x) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (sin.f64 x) x)) (*.f64 x (/.f64 x (-.f64 (sin.f64 x) x)))))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (sin.f64 x) x)) (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 (sin.f64 x) x) (*.f64 x x)) (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (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 (pow.f64 (sin.f64 x) #s(literal 9 binary64)) (*.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))) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 9 binary64)) (*.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))) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 2 binary64))) (-.f64 (sin.f64 x) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 2 binary64))) (-.f64 (sin.f64 x) x))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 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 (pow.f64 x #s(literal 6 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 6 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 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)))) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 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)))) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) |
(-.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 (sin.f64 x) x)) (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 (sin.f64 x) x))) |
(-.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 (sin.f64 x) x)) (/.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (sin.f64 x) x))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (sin.f64 x) x)) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) 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 (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 x (-.f64 x (sin.f64 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 (*.f64 (neg.f64 x) x) x) (fma.f64 x (-.f64 x (sin.f64 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))) (neg.f64 (fma.f64 x (-.f64 x (sin.f64 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 (*.f64 (neg.f64 x) x) x) (neg.f64 (fma.f64 x (-.f64 x (sin.f64 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 (sin.f64 x) x) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (*.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 (sin.f64 x) x))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.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 (sin.f64 x) x)))) |
(+.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 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (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 (*.f64 (*.f64 (neg.f64 x) x) x) (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 x (-.f64 x (sin.f64 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 (*.f64 (neg.f64 x) x) x) (fma.f64 x (-.f64 x (sin.f64 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 (neg.f64 (sin.f64 x)) 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)))) |
Compiled 10 106 to 710 computations (93% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 287 | 5 | 292 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 287 | 6 | 293 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 4.7% | (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (sin.f64 x)) |
| ✓ | 70.4% | (-.f64 (sin.f64 x) x) |
| ▶ | 99.4% | #s(approx (- (sin x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))) |
| ▶ | 98.8% | #s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
| ▶ | 99.3% | #s(approx (- (sin x) x) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
| ▶ | 6.4% | #s(approx (- (sin x) x) (neg.f64 x)) |
Compiled 130 to 95 computations (26.9% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (sqrt.f64 (neg.f64 x)) | |
| cost-diff | 5 | (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (sin.f64 x)) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) | |
| cost-diff | 0 | (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) | |
| cost-diff | 0 | (pow.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (neg.f64 x)) | |
| cost-diff | 0 | (pow.f64 x #s(literal 4 binary64)) | |
| cost-diff | 0 | (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 173 |
| 0 | 41 | 169 |
| 1 | 62 | 169 |
| 2 | 167 | 168 |
| 3 | 774 | 168 |
| 4 | 2388 | 168 |
| 5 | 4504 | 168 |
| 6 | 7902 | 168 |
| 7 | 7974 | 168 |
| 0 | 8022 | 168 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (sin x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal -1/5040 binary64) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(*.f64 x x) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (- (sin x) x) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal -1/6 binary64) |
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 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 x x) #s(literal 1/120 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (sin.f64 x)) |
(sqrt.f64 (neg.f64 x)) |
(neg.f64 x) |
x |
(sin.f64 x) |
| Outputs |
|---|
#s(approx (- (sin x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 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 binary64)) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal -1/5040 binary64) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(*.f64 x x) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (- (sin x) x) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
#s(approx (- (sin x) x) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal -1/6 binary64) |
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.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 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))) |
(*.f64 (-.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 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #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) (*.f64 x x)) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (sin.f64 x)) |
(-.f64 (sin.f64 x) x) |
(sqrt.f64 (neg.f64 x)) |
(neg.f64 x) |
x |
(sin.f64 x) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sqrt.f64 (neg.f64 x)) | |
| accuracy | 0.0 | (sin.f64 x) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 30.498459336676436 | (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (sin.f64 x)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.05859375 | (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 0.06640625 | (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) | |
| accuracy | 0.1279140641200473 | #s(approx (- (sin x) x) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) | |
| accuracy | 0.0 | (pow.f64 x #s(literal 3 binary64)) | |
| accuracy | 0.05859375 | (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) | |
| accuracy | 0.19303684817572558 | #s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 31.37294803142639 | #s(approx (- (sin x) x) (neg.f64 x)) | |
| accuracy | 0.00390625 | (pow.f64 x #s(literal 4 binary64)) | |
| accuracy | 0.0546875 | (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 0.06640625 | (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) | |
| accuracy | 0.08377537594102727 | #s(approx (- (sin x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))) |
| 56.0ms | 122× | 1 | valid |
| 25.0ms | 122× | 0 | invalid |
| 4.0ms | 8× | 2 | valid |
| 1.0ms | 4× | 0 | valid |
Compiled 140 to 25 computations (82.1% saved)
const: 14.0ms (22.6% of total)ival-pow: 13.0ms (21% of total)ival-mult: 12.0ms (19.4% of total)adjust: 6.0ms (9.7% of total)ival-sin: 5.0ms (8.1% of total)ival-sub: 4.0ms (6.5% of total)ival-sqrt: 3.0ms (4.9% of total)ival-add: 3.0ms (4.9% of total)ival-neg: 1.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (sin x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
#s(approx (- (sin x) x) (neg.f64 x)) |
(neg.f64 x) |
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 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 x x) #s(literal 1/120 binary64)) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (sin.f64 x)) |
(sqrt.f64 (neg.f64 x)) |
(sin.f64 x) |
(*.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)) |
-1/6 |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
(pow x 4) |
(* -1 x) |
(pow x 3) |
(* 1/120 (pow x 2)) |
(* x (+ 1 (pow (sqrt -1) 2))) |
(* x (+ 1 (+ (* -1/6 (pow x 2)) (pow (sqrt -1) 2)))) |
(* x (+ 1 (+ (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (pow (sqrt -1) 2)))) |
(* x (+ 1 (+ (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (pow (sqrt -1) 2)))) |
(* (sqrt x) (sqrt -1)) |
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)))) |
(pow x 2) |
(* 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 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))))) |
(* 1/120 (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))))) |
(* x (pow (sqrt -1) 2)) |
(* x (+ (/ (sin x) x) (pow (sqrt -1) 2))) |
(sin x) |
(* -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) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (sqrt x) (sqrt -1))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | ((- (sin x) x) (* (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (pow x 3)) (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (pow x 4) (- (sin x) x) (neg x) (- (sin x) x) (* (pow x 3) -1/6) (pow x 3) (- (sin x) x) (* (- (* (* x x) 1/120) 1/6) (pow x 3)) (- (* (* x x) 1/120) 1/6) (* (* x x) 1/120) (+ (* (sqrt (neg x)) (sqrt (neg x))) (sin x)) (sqrt (neg x)) (sin x) (* x x)) |
| 3.0ms | x | @ | -inf | ((- (sin x) x) (* (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (pow x 3)) (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (pow x 4) (- (sin x) x) (neg x) (- (sin x) x) (* (pow x 3) -1/6) (pow x 3) (- (sin x) x) (* (- (* (* x x) 1/120) 1/6) (pow x 3)) (- (* (* x x) 1/120) 1/6) (* (* x x) 1/120) (+ (* (sqrt (neg x)) (sqrt (neg x))) (sin x)) (sqrt (neg x)) (sin x) (* x x)) |
| 3.0ms | x | @ | 0 | ((- (sin x) x) (* (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (pow x 3)) (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (pow x 4) (- (sin x) x) (neg x) (- (sin x) x) (* (pow x 3) -1/6) (pow x 3) (- (sin x) x) (* (- (* (* x x) 1/120) 1/6) (pow x 3)) (- (* (* x x) 1/120) 1/6) (* (* x x) 1/120) (+ (* (sqrt (neg x)) (sqrt (neg x))) (sin x)) (sqrt (neg x)) (sin x) (* x x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 98 | 350 |
| 1 | 265 | 339 |
| 2 | 793 | 337 |
| 3 | 2492 | 323 |
| 0 | 8331 | 305 |
| 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 |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
(pow x 4) |
(* -1 x) |
(pow x 3) |
(* 1/120 (pow x 2)) |
(* x (+ 1 (pow (sqrt -1) 2))) |
(* x (+ 1 (+ (* -1/6 (pow x 2)) (pow (sqrt -1) 2)))) |
(* x (+ 1 (+ (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (pow (sqrt -1) 2)))) |
(* x (+ 1 (+ (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (pow (sqrt -1) 2)))) |
(* (sqrt x) (sqrt -1)) |
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)))) |
(pow x 2) |
(* 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 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))))) |
(* 1/120 (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))))) |
(* x (pow (sqrt -1) 2)) |
(* x (+ (/ (sin x) x) (pow (sqrt -1) 2))) |
(sin x) |
(* -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) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (sqrt x) (sqrt -1))) |
| Outputs |
|---|
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (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 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (pow.f64 x #s(literal 3 binary64))) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/120 (pow x 2)) 1/6) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* -1 x) |
(neg.f64 x) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* x (+ 1 (pow (sqrt -1) 2))) |
#s(literal 0 binary64) |
(* x (+ 1 (+ (* -1/6 (pow x 2)) (pow (sqrt -1) 2)))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* x (+ 1 (+ (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (pow (sqrt -1) 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* x (+ 1 (+ (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (pow (sqrt -1) 2)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* (sqrt x) (sqrt -1)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 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 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (pow.f64 x #s(literal 3 binary64)) x) |
(pow x 2) |
(*.f64 x x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* -1/5040 (pow x 7)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (-.f64 (-.f64 (/.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 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))) |
(* 1/120 (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)) |
(* x (pow (sqrt -1) 2)) |
(neg.f64 x) |
(* x (+ (/ (sin x) x) (pow (sqrt -1) 2))) |
(-.f64 (sin.f64 x) x) |
(sin x) |
(sin.f64 x) |
(* -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 -1/6 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 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/120 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (sqrt x) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal -1 binary64))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 135 |
| 0 | 41 | 131 |
| 1 | 125 | 131 |
| 2 | 814 | 127 |
| 0 | 8902 | 127 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (sin x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
#s(approx (- (sin x) x) (neg.f64 x)) |
(neg.f64 x) |
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 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 x x) #s(literal 1/120 binary64)) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (sin.f64 x)) |
(sqrt.f64 (neg.f64 x)) |
(sin.f64 x) |
(*.f64 x x) |
| Outputs |
|---|
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #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 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x)) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #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 (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x) x) x) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) (*.f64 x (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))) |
(*.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 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 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 #s(literal -1/14400 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/36 binary64))) (fma.f64 (*.f64 #s(literal -1/120 binary64) x) x (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 8 binary64))))) (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 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 (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (*.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)) (-.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/14400 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1/120 binary64) (*.f64 x x))) #s(literal 1/6 binary64))))) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) x) x (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64))))) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 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 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 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 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 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 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 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 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 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 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 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 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 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 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 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 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 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(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) x) x (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64))))) |
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(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) |
(+.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) x) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) x)) |
(+.f64 (*.f64 x (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 x (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))) |
(+.f64 (neg.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))) (neg.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))) |
#s(approx (- (sin x) x) x) |
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 x)) |
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 x #s(literal 1 binary64)) |
(neg.f64 x) |
(sqrt.f64 (*.f64 x x)) |
(fabs.f64 x) |
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1/2 binary64))) |
(exp.f64 (log.f64 x)) |
(+.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x))) |
x |
#s(approx (- (sin x) x) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x)) |
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))) |
(*.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(neg.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(fma.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal -1/6 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))) |
(+.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64)) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64))) |
(+.f64 (*.f64 #s(literal -1/6 binary64) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal -1/6 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (*.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 x (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 6 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 6 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) x)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x x))) |
(*.f64 (*.f64 x x) x) |
(*.f64 x (*.f64 x x)) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 6 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/4 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.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))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.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))))))) |
(neg.f64 (pow.f64 x #s(literal 3 binary64))) |
(sqrt.f64 (pow.f64 x #s(literal 6 binary64))) |
(fabs.f64 (pow.f64 x #s(literal 3 binary64))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3/2 binary64) (*.f64 (log.f64 x) #s(literal 3/2 binary64)))) |
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 6 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(+.f64 (neg.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (sinh.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)))) |
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #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 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x)) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 #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 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x) x) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))) |
(*.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) |
(*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (*.f64 x x) (*.f64 x (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))) |
(*.f64 x (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 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 x #s(literal 3 binary64)) (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 (*.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64)) (pow.f64 x #s(literal 3 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 (*.f64 (-.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64)) (pow.f64 x #s(literal 3 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 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 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 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 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 x #s(literal 3 binary64)) (-.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 (*.f64 (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)))) |
(neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))) |
(fma.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))) |
(+.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))) |
(+.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) |
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(+.f64 x (sin.f64 x)) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) |
(pow.f64 x #s(literal 1/2 binary64)) |
(neg.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
(fabs.f64 (sqrt.f64 x)) |
(exp.f64 (/.f64 (log.f64 x) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1/4 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 x))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x)))) |
(neg.f64 (sin.f64 x)) |
(sin.f64 (+.f64 x (PI.f64))) |
(sin.f64 x) |
(cos.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 x x) |
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 x x)) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (+.f64 (log.f64 x) (log.f64 x))) |
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
Compiled 18 141 to 2 114 computations (88.3% saved)
20 alts after pruning (16 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 657 | 16 | 673 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 659 | 20 | 679 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 4.7% | (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (sin.f64 x)) |
| ✓ | 70.4% | (-.f64 (sin.f64 x) x) |
| ▶ | 98.7% | #s(approx (- (sin x) x) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
| 99.3% | #s(approx (- (sin x) x) (/.f64 (*.f64 (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))))) | |
| 47.1% | #s(approx (- (sin x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 6 binary64)))) | |
| ▶ | 99.4% | #s(approx (- (sin x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x))) |
| ▶ | 99.3% | #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)))) |
| 46.7% | #s(approx (- (sin x) x) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal 6 binary64)) #s(literal -1/6 binary64))) | |
| ✓ | 98.8% | #s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
| 47.0% | #s(approx (- (sin x) x) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 6 binary64)))) | |
| 99.2% | #s(approx (- (sin x) x) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) | |
| 46.8% | #s(approx (- (sin x) x) (*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal -1/6 binary64))) | |
| 46.8% | #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/6 binary64))) | |
| ▶ | 98.8% | #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) |
| 98.7% | #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x)) | |
| 98.8% | #s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))) | |
| 98.8% | #s(approx (- (sin x) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) | |
| ✓ | 6.4% | #s(approx (- (sin x) x) (neg.f64 x)) |
| 34.9% | #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))))) | |
| ▶ | 68.8% | #s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (sin x)) #s(literal 0 binary64)) |
Compiled 588 to 419 computations (28.7% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))) | |
| cost-diff | 0 | (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) | |
| cost-diff | 2 | (*.f64 (*.f64 x x) x) | |
| cost-diff | 0 | #s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (sin x)) #s(literal 0 binary64)) | |
| cost-diff | 0 | (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x))) | |
| cost-diff | 1 | (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x)) | |
| cost-diff | 2 | (*.f64 (*.f64 x x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 250 |
| 0 | 56 | 233 |
| 1 | 93 | 233 |
| 2 | 252 | 232 |
| 3 | 1314 | 232 |
| 4 | 3139 | 232 |
| 5 | 5491 | 232 |
| 0 | 8530 | 230 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (sin x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x)) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal -1/5040 binary64) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(*.f64 x x) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
(*.f64 (*.f64 x x) x) |
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (sin x)) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
x |
#s(literal -1/6 binary64) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 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 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
(-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) |
(*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) |
#s(literal 1/14400 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 1/36 binary64) |
(fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
#s(literal -1/120 binary64) |
(*.f64 x x) |
#s(literal 1/6 binary64) |
| Outputs |
|---|
#s(approx (- (sin x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal -1/5040 binary64) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(*.f64 x x) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
(*.f64 (*.f64 x x) x) |
(pow.f64 x #s(literal 3 binary64)) |
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (sin x)) #s(literal 0 binary64)) |
#s(approx (- (sin x) x) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) |
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 x x) x) |
(pow.f64 x #s(literal 3 binary64)) |
(*.f64 x x) |
x |
#s(literal -1/6 binary64) |
#s(approx (- (sin x) x) (*.f64 (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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 (fma.f64 (*.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 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
(-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) |
(*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) |
#s(literal 1/14400 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 1/36 binary64) |
(fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
#s(literal -1/120 binary64) |
(*.f64 x x) |
#s(literal 1/6 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.03125 | (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 0.0625 | (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))) | |
| accuracy | 0.07488251953688403 | (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) | |
| accuracy | 0.20085126458278876 | #s(approx (- (sin x) x) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) | |
| accuracy | 0.0 | (pow.f64 x #s(literal 3 binary64)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.05859375 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 0.1279140641200473 | #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.046875 | (*.f64 (*.f64 x x) x) | |
| accuracy | 0.05859375 | (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)) | |
| accuracy | 0.19303684817572558 | #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) | |
| accuracy | 11.492930034304848 | #s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (sin x)) #s(literal 0 binary64)) | |
| accuracy | 0.046875 | (*.f64 (*.f64 x x) x) | |
| accuracy | 0.0546875 | (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x)) | |
| accuracy | 0.06640625 | (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) | |
| accuracy | 0.08377537594102727 | #s(approx (- (sin x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x))) |
| 93.0ms | 122× | 1 | valid |
| 70.0ms | 122× | 0 | invalid |
| 6.0ms | 8× | 2 | valid |
| 1.0ms | 4× | 0 | valid |
Compiled 199 to 37 computations (81.4% saved)
adjust: 35.0ms (31.9% of total)const: 24.0ms (21.9% of total)ival-mult: 19.0ms (17.3% of total)ival-pow: 8.0ms (7.3% of total)ival-add: 6.0ms (5.5% of total)ival-sub: 5.0ms (4.6% of total)ival-sin: 5.0ms (4.6% of total)ival-sqrt: 3.0ms (2.7% of total)ival-div: 2.0ms (1.8% of total)ival-neg: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 x x) x) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.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 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (sin x)) #s(literal 0 binary64)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)) |
(*.f64 x x) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 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 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) |
| Outputs |
|---|
(pow x 3) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
-1/6 |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
(* x (+ 1 (pow (sqrt -1) 2))) |
(* x (+ 1 (+ (* -1/6 (pow x 2)) (pow (sqrt -1) 2)))) |
(* x (+ 1 (+ (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (pow (sqrt -1) 2)))) |
(* x (+ 1 (+ (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (pow (sqrt -1) 2)))) |
(pow x 2) |
(* (pow x 3) (- (* -1/120 (pow x 2)) 1/6)) |
(* -1/36 (pow x 3)) |
(* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) |
(* 1/120 (pow x 2)) |
(* 1/14400 (pow x 4)) |
(* -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 x) |
(* x (- (/ (sin x) x) 1)) |
(* -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))))) |
(* x (pow (sqrt -1) 2)) |
(* x (+ (/ (sin x) x) (pow (sqrt -1) 2))) |
(* 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))))) |
(* -1/120 (pow x 5)) |
(* -1 (* (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 (* (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 (* 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))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | ((* (* x x) x) (* (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (* (* x x) x)) (- (sin x) x) (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (+ (* (sqrt (neg x)) (sqrt (neg x))) (sin x)) (- (sin x) x) (* (* (* x x) x) -1/6) (* x x) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (- (sin x) x) (/ (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (+ (* -1/120 (* x x)) 1/6)) (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (pow x 3) (* (* x x) 1/120) (* 1/14400 (pow x 4))) |
| 3.0ms | x | @ | -inf | ((* (* x x) x) (* (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (* (* x x) x)) (- (sin x) x) (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (+ (* (sqrt (neg x)) (sqrt (neg x))) (sin x)) (- (sin x) x) (* (* (* x x) x) -1/6) (* x x) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (- (sin x) x) (/ (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (+ (* -1/120 (* x x)) 1/6)) (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (pow x 3) (* (* x x) 1/120) (* 1/14400 (pow x 4))) |
| 2.0ms | x | @ | 0 | ((* (* x x) x) (* (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (* (* x x) x)) (- (sin x) x) (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (+ (* (sqrt (neg x)) (sqrt (neg x))) (sin x)) (- (sin x) x) (* (* (* x x) x) -1/6) (* x x) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (- (sin x) x) (/ (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (+ (* -1/120 (* x x)) 1/6)) (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (pow x 3) (* (* x x) 1/120) (* 1/14400 (pow x 4))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 112 | 365 |
| 1 | 280 | 360 |
| 2 | 875 | 357 |
| 3 | 2750 | 343 |
| 0 | 8305 | 331 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 3) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
-1/6 |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
(* x (+ 1 (pow (sqrt -1) 2))) |
(* x (+ 1 (+ (* -1/6 (pow x 2)) (pow (sqrt -1) 2)))) |
(* x (+ 1 (+ (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (pow (sqrt -1) 2)))) |
(* x (+ 1 (+ (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (pow (sqrt -1) 2)))) |
(pow x 2) |
(* (pow x 3) (- (* -1/120 (pow x 2)) 1/6)) |
(* -1/36 (pow x 3)) |
(* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) |
(* 1/120 (pow x 2)) |
(* 1/14400 (pow x 4)) |
(* -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 x) |
(* x (- (/ (sin x) x) 1)) |
(* -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))))) |
(* x (pow (sqrt -1) 2)) |
(* x (+ (/ (sin x) x) (pow (sqrt -1) 2))) |
(* 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))))) |
(* -1/120 (pow x 5)) |
(* -1 (* (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 (* (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 (* 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))) |
| Outputs |
|---|
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (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 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (pow.f64 x #s(literal 3 binary64))) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/120 (pow x 2)) 1/6) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(* x (+ 1 (pow (sqrt -1) 2))) |
#s(literal 0 binary64) |
(* x (+ 1 (+ (* -1/6 (pow x 2)) (pow (sqrt -1) 2)))) |
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* x (+ 1 (+ (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (pow (sqrt -1) 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* x (+ 1 (+ (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (pow (sqrt -1) 2)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 3) (- (* -1/120 (pow x 2)) 1/6)) |
(*.f64 (-.f64 (*.f64 #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 (-.f64 (*.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))) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/14400 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 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 x) |
(neg.f64 x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* -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))) |
(* x (pow (sqrt -1) 2)) |
(neg.f64 x) |
(* x (+ (/ (sin x) x) (pow (sqrt -1) 2))) |
(-.f64 (sin.f64 x) x) |
(* 1/120 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(* -1/120 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/120 binary64)) |
(* -1 (* (pow x 5) (+ 1/120 (* 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))) |
(* 1/14400 (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 (* (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))) |
(* -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 (neg.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))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 188 |
| 0 | 56 | 173 |
| 1 | 194 | 159 |
| 2 | 1326 | 158 |
| 0 | 9052 | 158 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 x x) x) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.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 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (sin x)) #s(literal 0 binary64)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)) |
(*.f64 x x) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 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 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) |
| Outputs |
|---|
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 6 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 6 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 x x) x) |
(*.f64 x (*.f64 x x)) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 6 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/4 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.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))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.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))))))) |
(neg.f64 (pow.f64 x #s(literal 3 binary64))) |
(sqrt.f64 (pow.f64 x #s(literal 6 binary64))) |
(fabs.f64 (pow.f64 x #s(literal 3 binary64))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3/2 binary64) (*.f64 (log.f64 x) #s(literal 3/2 binary64)))) |
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 6 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #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 (fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x) x) x) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))) |
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))) |
(*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (-.f64 (*.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))))) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/6 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64))))) (neg.f64 (+.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/6 binary64)))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/6 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 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 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/6 binary64))) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))))) |
(fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))) |
(fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 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 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64))))) |
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#s(approx (- (sin x) x) #s(literal 0 binary64)) |
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(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)) |
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(*.f64 x x) |
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(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 x x)) |
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(*.f64 (*.f64 (fma.f64 #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))) |
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(fabs.f64 (neg.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(fabs.f64 (neg.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)))) |
(fabs.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x))) |
(fabs.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) |
(*.f64 (pow.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))) |
(*.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x))))) |
(*.f64 (fabs.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/120 binary64))) (*.f64 x x)) |
(*.f64 (fabs.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) (*.f64 x x))) #s(literal 1/120 binary64)) |
(*.f64 (fabs.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x)) (fabs.f64 (*.f64 #s(literal 1/120 binary64) x))) |
(*.f64 (fabs.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) (*.f64 #s(literal -1/120 binary64) x))) x) |
(*.f64 (fabs.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal -1/120 binary64))) (*.f64 x x)) |
(*.f64 (fabs.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) (*.f64 x x))) #s(literal 1/120 binary64)) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 x x))) (*.f64 x x)) |
(*.f64 (fabs.f64 (*.f64 #s(literal -1/120 binary64) x)) (fabs.f64 (*.f64 x (*.f64 #s(literal -1/120 binary64) (*.f64 x x))))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/120 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) (*.f64 x x)) #s(literal 1/120 binary64)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/120 binary64) x)) |
(*.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) (*.f64 #s(literal -1/120 binary64) x)) x) |
(*.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal -1/120 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) (*.f64 x x)) #s(literal -1/120 binary64)) |
(*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (neg.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (neg.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(*.f64 (neg.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x))) (neg.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)))) |
(*.f64 (*.f64 #s(literal -1/120 binary64) x) (*.f64 x (*.f64 #s(literal -1/120 binary64) (*.f64 x x)))) |
(*.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) (*.f64 #s(literal -1/120 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/120 binary64) (*.f64 x x)))) |
(*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/120 binary64) (fabs.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal -1/120 binary64) (*.f64 x x))))) |
(*.f64 #s(literal 1/120 binary64) (fabs.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))) |
(*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) |
(*.f64 (*.f64 x x) (fabs.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 x x)))) |
(*.f64 (*.f64 x x) (fabs.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))) |
(*.f64 (*.f64 x x) (fabs.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x))))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal -1/120 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x)))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/14400 binary64) (*.f64 x x))) |
(*.f64 x (fabs.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))) |
(*.f64 x (*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(pow.f64 (neg.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 #s(literal 1/207360000 binary64) (pow.f64 x #s(literal 8 binary64)))) |
(fabs.f64 (neg.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(fabs.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) #s(literal 2 binary64))) |
Compiled 15 517 to 1 973 computations (87.3% saved)
20 alts after pruning (13 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 496 | 8 | 504 |
| Fresh | 6 | 5 | 11 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 504 | 20 | 524 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 4.7% | (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (sin.f64 x)) |
| ✓ | 70.4% | (-.f64 (sin.f64 x) x) |
| ▶ | 98.7% | #s(approx (- (sin x) x) (/.f64 #s(approx (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
| 99.3% | #s(approx (- (sin x) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 (neg.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x))) | |
| ▶ | 99.4% | #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x))) |
| ✓ | 99.3% | #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)))) |
| 46.7% | #s(approx (- (sin x) x) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal 6 binary64)) #s(literal -1/6 binary64))) | |
| ✓ | 98.8% | #s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
| ▶ | 99.4% | #s(approx (- (sin x) x) (*.f64 (-.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) |
| 98.8% | #s(approx (- (sin x) x) (*.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))) | |
| 99.3% | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)) | |
| 46.8% | #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/6 binary64))) | |
| ✓ | 98.8% | #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) |
| 98.7% | #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x)) | |
| 98.8% | #s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))) | |
| ▶ | 98.8% | #s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
| ▶ | 99.2% | #s(approx (- (sin x) x) (*.f64 #s(approx (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 (*.f64 x x) x))) |
| ✓ | 6.4% | #s(approx (- (sin x) x) (neg.f64 x)) |
| 34.9% | #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))))) | |
| ✓ | 68.8% | #s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (sin x)) #s(literal 0 binary64)) |
Compiled 597 to 408 computations (31.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 3 binary64))) | |
| cost-diff | 0 | #s(approx (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 3 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(approx (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (/.f64 #s(approx (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x)) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x))) | |
| cost-diff | 2 | (*.f64 (*.f64 x x) x) | |
| cost-diff | 4 | (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 (*.f64 x x) x)) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (*.f64 #s(approx (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 (*.f64 x x) x))) | |
| cost-diff | 2 | (*.f64 (*.f64 x x) x) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) | |
| cost-diff | 2 | (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) | |
| cost-diff | 0 | (-.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/6 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x)) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (*.f64 (-.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) | |
| cost-diff | 2 | (*.f64 (*.f64 x x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 393 |
| 0 | 74 | 356 |
| 1 | 134 | 356 |
| 2 | 364 | 356 |
| 3 | 1572 | 356 |
| 4 | 3272 | 356 |
| 5 | 4753 | 356 |
| 6 | 6025 | 356 |
| 0 | 8325 | 356 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (sin x) x) (*.f64 (-.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x)) |
(-.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))) |
#s(literal 1/120 binary64) |
(*.f64 x x) |
x |
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64))) |
#s(literal -1/5040 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 1/6 binary64) |
(*.f64 (*.f64 x x) x) |
#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(literal -1/6 binary64) |
(*.f64 x x) |
x |
#s(approx (- (sin x) x) (*.f64 #s(approx (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 (*.f64 x x) x))) |
(*.f64 #s(approx (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 (*.f64 x x) x)) |
#s(approx (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(*.f64 (*.f64 x x) x) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x)) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) |
(*.f64 x x) |
x |
(*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) |
#s(literal -1/5040 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) |
#s(literal 1/6 binary64) |
(*.f64 (*.f64 x x) x) |
#s(approx (- (sin x) x) (/.f64 #s(approx (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
(/.f64 #s(approx (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 3 binary64))) |
#s(literal -1/36 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
(fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
#s(literal -1/120 binary64) |
(*.f64 x x) |
#s(literal 1/6 binary64) |
| Outputs |
|---|
#s(approx (- (sin x) x) (*.f64 (-.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) |
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/6 binary64)))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/6 binary64))) |
(-.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/6 binary64)) |
(-.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64))) |
#s(literal 1/120 binary64) |
(*.f64 x x) |
x |
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) |
#s(literal -1/5040 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 1/6 binary64) |
(*.f64 (*.f64 x x) x) |
(pow.f64 x #s(literal 3 binary64)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x 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) (*.f64 x x)) x) |
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
#s(literal -1/6 binary64) |
(*.f64 x x) |
x |
#s(approx (- (sin x) x) (*.f64 #s(approx (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (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 #s(approx (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 #s(approx (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 (*.f64 x x) x)) |
(*.f64 #s(approx (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (pow.f64 x #s(literal 3 binary64))) |
#s(approx (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(*.f64 (*.f64 x x) x) |
(pow.f64 x #s(literal 3 binary64)) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x))) |
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/6 binary64)))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) |
(-.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/6 binary64)) |
(*.f64 x x) |
x |
(*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) |
(*.f64 #s(literal -1/5040 binary64) (*.f64 x x)) |
#s(literal -1/5040 binary64) |
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
(*.f64 (*.f64 x x) x) |
(pow.f64 x #s(literal 3 binary64)) |
#s(approx (- (sin x) x) (/.f64 #s(approx (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
(/.f64 #s(approx (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 3 binary64))) |
#s(literal -1/36 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
(fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
#s(literal -1/120 binary64) |
(*.f64 x x) |
#s(literal 1/6 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.125 | (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 0.12566376953688402 | (/.f64 #s(approx (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) | |
| accuracy | 0.3494526343717537 | #s(approx (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 3 binary64)))) | |
| accuracy | 0.6957606418056965 | #s(approx (- (sin x) x) (/.f64 #s(approx (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) | |
| accuracy | 0.1171875 | (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x)) | |
| accuracy | 0.12109375 | (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) | |
| accuracy | 0.12890625 | (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) | |
| accuracy | 0.24268960598465722 | #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x))) | |
| accuracy | 0.08984375 | (*.f64 (*.f64 x x) x) | |
| accuracy | 0.1171875 | (*.f64 #s(approx (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 (*.f64 x x) x)) | |
| accuracy | 0.24268960598465722 | #s(approx (- (sin x) x) (*.f64 #s(approx (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 (*.f64 x x) x))) | |
| accuracy | 0.33723858228703635 | #s(approx (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0703125 | (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) | |
| accuracy | 0.15625 | (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) | |
| accuracy | 0.6686173430478419 | #s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) | |
| accuracy | 0.08984375 | (*.f64 (*.f64 x x) x) | |
| accuracy | 0.11328125 | (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))) | |
| accuracy | 0.1171875 | (*.f64 (-.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x)) | |
| accuracy | 0.24268960598465722 | #s(approx (- (sin x) x) (*.f64 (-.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) |
| 175.0ms | 235× | 1 | valid |
| 12.0ms | 13× | 2 | valid |
| 3.0ms | 8× | 0 | valid |
Compiled 275 to 44 computations (84% saved)
ival-mult: 43.0ms (29.6% of total)const: 36.0ms (24.8% of total)adjust: 22.0ms (15.1% of total)ival-sub: 14.0ms (9.6% of total)ival-add: 10.0ms (6.9% of total)ival-pow: 9.0ms (6.2% of total)ival-sin: 7.0ms (4.8% of total)ival-div: 3.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 x x) x) |
#s(approx (- (sin x) x) (*.f64 (-.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x)) |
(-.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(*.f64 x x) |
#s(approx (- (sin x) x) (*.f64 #s(approx (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 (*.f64 x x) x))) |
(*.f64 #s(approx (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 (*.f64 x x) x)) |
#s(approx (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x)) |
#s(approx (- (sin x) x) (/.f64 #s(approx (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
(/.f64 #s(approx (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
| Outputs |
|---|
(pow x 3) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
-1/6 |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
(* -1/6 (pow x 2)) |
(pow x 2) |
(* (pow x 3) (- (* -1/120 (pow x 2)) 1/6)) |
(* -1/36 (pow x 3)) |
(* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) |
(* -1/5040 (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 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))))) |
(* -1/120 (pow x 5)) |
(* -1 (* (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 (* 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 7) (- (* 1/36 (/ 1 (pow x 4))) 1/14400))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | ((* (* x x) x) (- (sin x) x) (* (- (+ (* 1/120 (* x x)) (* -1/5040 (pow x 4))) 1/6) (* (* x x) x)) (- (+ (* 1/120 (* x x)) (* -1/5040 (pow x 4))) 1/6) (* (* -1/6 (* x x)) x) (- (sin x) x) (* -1/6 (* x x)) (* x x) (- (sin x) x) (* (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (* (* x x) x)) (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (+ (* (* x x) (* (* x x) -1/5040)) (- (* 1/120 (* x x)) 1/6)) (- (sin x) x) (* (+ (* (* x x) (* (* x x) -1/5040)) (- (* 1/120 (* x x)) 1/6)) (* (* x x) x)) (- (sin x) x) (/ (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (+ (* -1/120 (* x x)) 1/6)) (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (* -1/36 (pow x 3)) (+ (* 1/120 (* x x)) (* -1/5040 (pow x 4))) (* (* x x) -1/5040) (* 1/120 (* x x))) |
| 3.0ms | x | @ | -inf | ((* (* x x) x) (- (sin x) x) (* (- (+ (* 1/120 (* x x)) (* -1/5040 (pow x 4))) 1/6) (* (* x x) x)) (- (+ (* 1/120 (* x x)) (* -1/5040 (pow x 4))) 1/6) (* (* -1/6 (* x x)) x) (- (sin x) x) (* -1/6 (* x x)) (* x x) (- (sin x) x) (* (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (* (* x x) x)) (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (+ (* (* x x) (* (* x x) -1/5040)) (- (* 1/120 (* x x)) 1/6)) (- (sin x) x) (* (+ (* (* x x) (* (* x x) -1/5040)) (- (* 1/120 (* x x)) 1/6)) (* (* x x) x)) (- (sin x) x) (/ (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (+ (* -1/120 (* x x)) 1/6)) (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (* -1/36 (pow x 3)) (+ (* 1/120 (* x x)) (* -1/5040 (pow x 4))) (* (* x x) -1/5040) (* 1/120 (* x x))) |
| 2.0ms | x | @ | 0 | ((* (* x x) x) (- (sin x) x) (* (- (+ (* 1/120 (* x x)) (* -1/5040 (pow x 4))) 1/6) (* (* x x) x)) (- (+ (* 1/120 (* x x)) (* -1/5040 (pow x 4))) 1/6) (* (* -1/6 (* x x)) x) (- (sin x) x) (* -1/6 (* x x)) (* x x) (- (sin x) x) (* (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (* (* x x) x)) (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (+ (* (* x x) (* (* x x) -1/5040)) (- (* 1/120 (* x x)) 1/6)) (- (sin x) x) (* (+ (* (* x x) (* (* x x) -1/5040)) (- (* 1/120 (* x x)) 1/6)) (* (* x x) x)) (- (sin x) x) (/ (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (+ (* -1/120 (* x x)) 1/6)) (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (* -1/36 (pow x 3)) (+ (* 1/120 (* x x)) (* -1/5040 (pow x 4))) (* (* x x) -1/5040) (* 1/120 (* x x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 294 |
| 1 | 205 | 294 |
| 2 | 590 | 293 |
| 3 | 1936 | 284 |
| 4 | 5445 | 284 |
| 0 | 8090 | 280 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 3) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
-1/6 |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
(* -1/6 (pow x 2)) |
(pow x 2) |
(* (pow x 3) (- (* -1/120 (pow x 2)) 1/6)) |
(* -1/36 (pow x 3)) |
(* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) |
(* -1/5040 (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 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))))) |
(* -1/120 (pow x 5)) |
(* -1 (* (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 (* 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 7) (- (* 1/36 (/ 1 (pow x 4))) 1/14400))) |
| Outputs |
|---|
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (-.f64 (*.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 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.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 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/120 (pow x 2)) 1/6) |
(-.f64 (*.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 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 3) (- (* -1/120 (pow x 2)) 1/6)) |
(*.f64 (-.f64 (*.f64 #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 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) |
(fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* -1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/5040 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 -1/6 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 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 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 -1/6 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))) |
(* -1/120 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/120 binary64)) |
(* -1 (* (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))) |
(* 1/14400 (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 (* 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 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (+.f64 (/.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 (* (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 | 50 | 322 |
| 0 | 74 | 289 |
| 1 | 282 | 289 |
| 2 | 1591 | 289 |
| 0 | 8661 | 289 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 x x) x) |
#s(approx (- (sin x) x) (*.f64 (-.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x)) |
(-.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(*.f64 x x) |
#s(approx (- (sin x) x) (*.f64 #s(approx (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 (*.f64 x x) x))) |
(*.f64 #s(approx (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 (*.f64 x x) x)) |
#s(approx (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x)) |
#s(approx (- (sin x) x) (/.f64 #s(approx (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
(/.f64 #s(approx (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (neg.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 (*.f64 x (neg.f64 x)) (neg.f64 x)) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)) |
(*.f64 (neg.f64 x) (*.f64 x x)) |
(*.f64 (*.f64 x x) (neg.f64 x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x (*.f64 x x)) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x)) |
(pow.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.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))))))) |
(fabs.f64 (pow.f64 x #s(literal 3 binary64))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3/2 binary64) (*.f64 (log.f64 x) #s(literal 3/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) x) (*.f64 x x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) (*.f64 x x)) x) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))))) |
(*.f64 x (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) (*.f64 x x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 3 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64))) (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 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 (*.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 x #s(literal 4 binary64)) #s(literal -1/5040 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))))) |
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(*.f64 x (*.f64 #s(literal -1/5040 binary64) x)) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) (neg.f64 x))) x) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) x)) x) |
(*.f64 (fabs.f64 (*.f64 #s(literal -1/120 binary64) (neg.f64 x))) x) |
(*.f64 (fabs.f64 (*.f64 #s(literal -1/120 binary64) x)) x) |
(*.f64 (*.f64 #s(literal 1/120 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 1/120 binary64) x) x) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/120 binary64))) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(*.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1/120 binary64)))) |
(*.f64 x (fabs.f64 (*.f64 #s(literal 1/120 binary64) x))) |
(*.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal -1/120 binary64)))) |
(*.f64 x (fabs.f64 (*.f64 #s(literal -1/120 binary64) x))) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) x)) |
(sqrt.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(fabs.f64 (neg.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)))) |
(fabs.f64 (neg.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(fabs.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x))) |
(fabs.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) |
Compiled 22 825 to 2 556 computations (88.8% saved)
18 alts after pruning (9 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 611 | 4 | 615 |
| Fresh | 3 | 5 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 7 | 7 |
| Total | 617 | 18 | 635 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 4.7% | (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (sin.f64 x)) |
| ✓ | 70.4% | (-.f64 (sin.f64 x) x) |
| 46.8% | #s(approx (- (sin x) x) (/.f64 #s(approx (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/36 binary64)))) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) | |
| 98.7% | #s(approx (- (sin x) x) (/.f64 #s(approx (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/36 binary64)))) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) | |
| 98.7% | #s(approx (- (sin x) x) (/.f64 #s(approx (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (*.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 x x)) x)) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) | |
| 99.3% | #s(approx (- (sin x) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 (neg.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x))) | |
| ✓ | 99.3% | #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)))) |
| ✓ | 98.8% | #s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
| 99.4% | #s(approx (- (sin x) x) (*.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) | |
| 99.3% | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)) | |
| ✓ | 98.8% | #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) |
| 98.7% | #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x)) | |
| 98.8% | #s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))) | |
| ✓ | 98.8% | #s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
| ✓ | 99.2% | #s(approx (- (sin x) x) (*.f64 #s(approx (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 (*.f64 x x) x))) |
| ✓ | 6.4% | #s(approx (- (sin x) x) (neg.f64 x)) |
| 34.9% | #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))))) | |
| ✓ | 68.8% | #s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (sin x)) #s(literal 0 binary64)) |
Compiled 971 to 395 computations (59.3% saved)
| Inputs |
|---|
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (sin x)) #s(literal 0 binary64)) |
#s(approx (- (sin x) x) (neg.f64 x)) |
#s(approx (- (sin x) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
#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 (*.f64 #s(literal -1/6 binary64) x) x) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) |
#s(approx (- (sin x) x) (*.f64 #s(approx (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 (*.f64 x x) x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)) |
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.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 #s(approx (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (*.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 x x)) x)) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (- (sin x) x) (/.f64 #s(approx (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/36 binary64)))) (fma.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) (fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/6 binary64))) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x))) |
(-.f64 (sin.f64 x) x) |
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
#s(approx (- (sin x) x) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal 6 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 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- (sin x) x) #s(approx (* (- (* (* x x) 1/120) 1/6) (pow x 3)) (*.f64 (-.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 #s(approx (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 6 binary64)))) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (sin.f64 x)) |
#s(approx (- (sin x) x) (*.f64 (-.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.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 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 (neg.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x))) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.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 #s(approx (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/36 binary64)))) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 6 binary64)))) |
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal -1/6 binary64))) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (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))))) |
| Outputs |
|---|
#s(approx (- (sin x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))) |
2 calls:
| 8.0ms | x |
| 6.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | (-.f64 (sin.f64 x) x) |
| 99.4% | 1 | x |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (sin x)) #s(literal 0 binary64)) |
#s(approx (- (sin x) x) (neg.f64 x)) |
#s(approx (- (sin x) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
#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 (*.f64 #s(literal -1/6 binary64) x) x) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) |
#s(approx (- (sin x) x) (*.f64 #s(approx (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 (*.f64 x x) x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)) |
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.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 #s(approx (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (*.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 x x)) x)) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (- (sin x) x) (/.f64 #s(approx (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/36 binary64)))) (fma.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) (fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/6 binary64))) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x))) |
(-.f64 (sin.f64 x) x) |
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
#s(approx (- (sin x) x) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal 6 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 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- (sin x) x) #s(approx (* (- (* (* x x) 1/120) 1/6) (pow x 3)) (*.f64 (-.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 #s(approx (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 6 binary64)))) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (sin.f64 x)) |
#s(approx (- (sin x) x) (*.f64 (-.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.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 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 (neg.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x))) |
| Outputs |
|---|
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) |
2 calls:
| 12.0ms | x |
| 5.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | (-.f64 (sin.f64 x) x) |
| 99.4% | 1 | x |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (sin x)) #s(literal 0 binary64)) |
#s(approx (- (sin x) x) (neg.f64 x)) |
#s(approx (- (sin x) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
#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 (*.f64 #s(literal -1/6 binary64) x) x) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) |
#s(approx (- (sin x) x) (*.f64 #s(approx (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 (*.f64 x x) x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)) |
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.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 #s(approx (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (*.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 x x)) x)) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (- (sin x) x) (/.f64 #s(approx (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/36 binary64)))) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
| Outputs |
|---|
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)) |
2 calls:
| 4.0ms | x |
| 3.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | (-.f64 (sin.f64 x) x) |
| 99.3% | 1 | x |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (sin x)) #s(literal 0 binary64)) |
#s(approx (- (sin x) x) (neg.f64 x)) |
#s(approx (- (sin x) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
#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 (*.f64 #s(literal -1/6 binary64) x) x) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) |
#s(approx (- (sin x) x) (*.f64 #s(approx (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (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 #s(approx (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 (*.f64 x x) x))) |
2 calls:
| 3.0ms | x |
| 2.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | (-.f64 (sin.f64 x) x) |
| 99.2% | 1 | x |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (sin x)) #s(literal 0 binary64)) |
#s(approx (- (sin x) x) (neg.f64 x)) |
#s(approx (- (sin x) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
#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 (*.f64 #s(literal -1/6 binary64) x) 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 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
2 calls:
| 11.0ms | 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)
Total -40.4b remaining (-202.3%)
Threshold costs -40.4b (-202.3%)
| Inputs |
|---|
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (sin x)) #s(literal 0 binary64)) |
#s(approx (- (sin x) x) (neg.f64 x)) |
| Outputs |
|---|
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (sin x)) #s(literal 0 binary64)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.8% | 1 | x |
| 68.8% | 1 | (-.f64 (sin.f64 x) x) |
Compiled 5 to 4 computations (20% saved)
| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 111 |
| 1 | 66 | 111 |
| 2 | 137 | 110 |
| 3 | 397 | 110 |
| 4 | 621 | 110 |
| 5 | 641 | 110 |
| 6 | 668 | 110 |
| 7 | 754 | 110 |
| 8 | 1034 | 110 |
| 9 | 2182 | 110 |
| 1× | node limit |
| Inputs |
|---|
#s(approx (- (sin x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.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 (*.f64 x x) (fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)) |
#s(approx (- (sin x) x) (*.f64 #s(approx (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (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 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (sin x)) #s(literal 0 binary64)) |
| Outputs |
|---|
#s(approx (- (sin x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (sin x)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.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 (*.f64 x x) (fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) |
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (sin x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)) |
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (sin x)) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)) |
#s(approx (- (sin x) x) (*.f64 #s(approx (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 (*.f64 x x) x))) |
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (sin x)) (*.f64 #s(approx (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (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 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (sin x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (sin x)) #s(literal 0 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 188 |
| 0 | 56 | 173 |
| 1 | 194 | 159 |
| 2 | 1326 | 158 |
| 0 | 9052 | 158 |
| 0 | 3 | 6 |
| 0 | 5 | 6 |
| 1 | 18 | 6 |
| 2 | 128 | 6 |
| 3 | 1310 | 6 |
| 0 | 9927 | 6 |
| 0 | 47 | 122 |
| 1 | 130 | 116 |
| 2 | 373 | 116 |
| 3 | 1349 | 108 |
| 4 | 3167 | 108 |
| 5 | 6680 | 108 |
| 0 | 8587 | 102 |
| 0 | 98 | 350 |
| 1 | 265 | 339 |
| 2 | 793 | 337 |
| 3 | 2492 | 323 |
| 0 | 8331 | 305 |
| 0 | 50 | 322 |
| 0 | 74 | 289 |
| 1 | 282 | 289 |
| 2 | 1591 | 289 |
| 0 | 8661 | 289 |
| 0 | 112 | 365 |
| 1 | 280 | 360 |
| 2 | 875 | 357 |
| 3 | 2750 | 343 |
| 0 | 8305 | 331 |
| 0 | 26 | 135 |
| 0 | 41 | 131 |
| 1 | 125 | 131 |
| 2 | 814 | 127 |
| 0 | 8902 | 127 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 339 to 199 computations (41.3% saved)
Compiled 354 to 150 computations (57.6% saved)
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