
Time bar (total: 12.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 50% | 50% | 0% | 0% | 0% | 0 |
| 0% | 0% | 50% | 50% | 0% | 0% | 0% | 1 |
| 50% | 25% | 25% | 50% | 0% | 0% | 0% | 2 |
| 75% | 37.5% | 12.5% | 50% | 0% | 0% | 0% | 3 |
| 87.5% | 43.7% | 6.2% | 50% | 0% | 0% | 0% | 4 |
| 93.8% | 46.8% | 3.1% | 50% | 0% | 0% | 0% | 5 |
| 96.9% | 48.4% | 1.6% | 50% | 0% | 0% | 0% | 6 |
| 98.4% | 49.2% | 0.8% | 50% | 0% | 0% | 0% | 7 |
| 99.2% | 49.6% | 0.4% | 50% | 0% | 0% | 0% | 8 |
| 99.6% | 49.8% | 0.2% | 50% | 0% | 0% | 0% | 9 |
| 99.8% | 49.9% | 0.1% | 50% | 0% | 0% | 0% | 10 |
| 99.9% | 49.9% | 0% | 50% | 0% | 0% | 0% | 11 |
| 100% | 49.9% | 0% | 50% | 0% | 0% | 0% | 12 |
Compiled 15 to 11 computations (26.7% saved)
| 2.9s | 5 632× | 2 | valid |
| 359.0ms | 2 450× | 1 | valid |
| 14.0ms | 174× | 0 | valid |
ival-sin: 2.1s (71.4% of total)adjust: 240.0ms (8.2% of total)ival-tan: 199.0ms (6.8% of total)ival-div: 161.0ms (5.5% of total)ival-sub: 145.0ms (4.9% of total)ival-<=: 67.0ms (2.3% of total)ival-and: 12.0ms (0.4% of total)exact: 12.0ms (0.4% of total)ival-assert: 3.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 83 | 0 | - | 0 | - | (-.f64 x (sin.f64 x)) |
| 41 | 3 | (1.567717577529177e-161) | 2 | (1.0134532808668465e-105) | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| 0 | 0 | - | 0 | - | (tan.f64 x) |
| 0 | 0 | - | 0 | - | (sin.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 x (sin.f64 x)) | cancellation | 83 | 0 |
/.f64 | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) | u/n | 42 | 0 |
| ↳ | (-.f64 x (sin.f64 x)) | underflow | 173 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 122 | 0 |
| - | 3 | 131 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 122 | 0 | 0 |
| - | 3 | 0 | 131 |
| number | freq |
|---|---|
| 0 | 131 |
| 1 | 125 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 229.0ms | 356× | 2 | valid |
| 18.0ms | 152× | 1 | valid |
| 0.0ms | 4× | 0 | valid |
Compiled 43 to 19 computations (55.8% saved)
ival-sin: 111.0ms (59.3% of total)adjust: 55.0ms (29.4% of total)ival-div: 9.0ms (4.8% of total)ival-sub: 7.0ms (3.7% of total)ival-tan: 4.0ms (2.1% 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 | 7 | 21 |
| 1 | 26 | 17 |
| 2 | 76 | 14 |
| 3 | 230 | 14 |
| 4 | 577 | 14 |
| 5 | 789 | 14 |
| 6 | 822 | 14 |
| 7 | 860 | 14 |
| 8 | 889 | 14 |
| 0 | 5 | 7 |
| 0 | 9 | 7 |
| 1 | 14 | 7 |
| 2 | 21 | 7 |
| 3 | 33 | 7 |
| 4 | 58 | 7 |
| 5 | 88 | 7 |
| 6 | 144 | 7 |
| 7 | 237 | 7 |
| 8 | 423 | 7 |
| 9 | 703 | 7 |
| 10 | 713 | 7 |
| 11 | 751 | 7 |
| 12 | 780 | 7 |
| 0 | 780 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| Outputs |
|---|
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
(abs x)
Compiled 7 to 5 computations (28.6% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 56.2% | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
Compiled 7 to 5 computations (28.6% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (tan.f64 x) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (-.f64 x (sin.f64 x)) | |
| cost-diff | 0 | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 16 |
| 0 | 9 | 16 |
| 1 | 14 | 16 |
| 2 | 21 | 16 |
| 3 | 33 | 16 |
| 4 | 58 | 16 |
| 5 | 88 | 16 |
| 6 | 144 | 16 |
| 7 | 237 | 16 |
| 8 | 423 | 16 |
| 9 | 703 | 16 |
| 10 | 713 | 16 |
| 11 | 751 | 16 |
| 12 | 780 | 16 |
| 0 | 780 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
(-.f64 x (sin.f64 x)) |
x |
(sin.f64 x) |
(tan.f64 x) |
| Outputs |
|---|
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
(-.f64 x (sin.f64 x)) |
x |
(sin.f64 x) |
(tan.f64 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (tan.f64 x) | |
| accuracy | 0.0 | (sin.f64 x) | |
| accuracy | 8.713964337746571 | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) | |
| accuracy | 19.10627158800984 | (-.f64 x (sin.f64 x)) |
| 67.0ms | 178× | 2 | valid |
| 9.0ms | 76× | 1 | valid |
| 0.0ms | 2× | 0 | valid |
Compiled 18 to 7 computations (61.1% saved)
ival-sin: 44.0ms (67.3% of total)adjust: 11.0ms (16.8% of total)ival-div: 4.0ms (6.1% of total)ival-sub: 4.0ms (6.1% of total)ival-tan: 2.0ms (3.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
(-.f64 x (sin.f64 x)) |
(sin.f64 x) |
(tan.f64 x) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)))) |
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)))) |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))) |
(/ (* x (cos x)) (sin x)) |
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) |
(* x (+ 1 (* -1 (/ (sin x) x)))) |
(sin x) |
(/ (sin x) (cos x)) |
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) |
(* -1 (* x (- (/ (sin x) x) 1))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((/ (- x (sin x)) (tan x)) (- x (sin x)) (sin x) (tan x)) |
| 1.0ms | x | @ | inf | ((/ (- x (sin x)) (tan x)) (- x (sin x)) (sin x) (tan x)) |
| 1.0ms | x | @ | 0 | ((/ (- x (sin x)) (tan x)) (- x (sin x)) (sin x) (tan x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 105 | 261 |
| 1 | 301 | 245 |
| 2 | 829 | 245 |
| 3 | 2502 | 233 |
| 4 | 5488 | 231 |
| 0 | 8644 | 207 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)))) |
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)))) |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))) |
(/ (* x (cos x)) (sin x)) |
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) |
(* x (+ 1 (* -1 (/ (sin x) x)))) |
(sin x) |
(/ (sin x) (cos x)) |
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) |
(* -1 (* x (- (/ (sin x) x) 1))) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* 1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x) |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) |
(fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x) |
(/ (* x (cos x)) (sin x)) |
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x)) |
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) |
(*.f64 (cos.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x)))) |
(* x (+ 1 (* -1 (/ (sin x) x)))) |
(-.f64 x (sin.f64 x)) |
(sin x) |
(sin.f64 x) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) |
(*.f64 (cos.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x)))) |
(* -1 (* x (- (/ (sin x) x) 1))) |
(-.f64 x (sin.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 15 |
| 0 | 9 | 15 |
| 1 | 37 | 15 |
| 2 | 269 | 15 |
| 3 | 3136 | 15 |
| 0 | 9217 | 15 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
(-.f64 x (sin.f64 x)) |
(sin.f64 x) |
(tan.f64 x) |
| Outputs |
|---|
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1 binary64) (cos.f64 x) (/.f64 x (tan.f64 x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 #s(literal 1 binary64) (cos.f64 x) (/.f64 x (tan.f64 x))) (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 (tan.f64 x)) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (+.f64 (sin.f64 x) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 (tan.f64 x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (tan.f64 x) (*.f64 (+.f64 (sin.f64 x) x) (-.f64 (sin.f64 x) x))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (+.f64 (sin.f64 x) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (tan.f64 x) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 x) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (sin.f64 x) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 x))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 (sin.f64 x) x) (tan.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x)) (tan.f64 x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (tan.f64 x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (fma.f64 (sin.f64 x) (-.f64 (sin.f64 x) x) (*.f64 x x))) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (tan.f64 x)) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 x (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (tan.f64 x)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (sin.f64 x) x) (sin.f64 x)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (+.f64 (sin.f64 x) x) (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (tan.f64 x)) (+.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 x) x) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 (sin.f64 x) x) (sin.f64 x)) (-.f64 (*.f64 (+.f64 (sin.f64 x) x) (sin.f64 x)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (sin.f64 x)) (neg.f64 (cos.f64 x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64))) (cos.f64 x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (sin.f64 x) x)) (/.f64 #s(literal -1 binary64) (tan.f64 x))) |
(*.f64 (pow.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 (sin.f64 x) x) (tan.f64 x)) (/.f64 (-.f64 x (sin.f64 x)) (+.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x)) (tan.f64 x)) (/.f64 (-.f64 x (sin.f64 x)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x)))) |
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(*.f64 #s(literal 1 binary64) (tan.f64 x)) |
(*.f64 (tan.f64 x) #s(literal 1 binary64)) |
(*.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (tan.f64 x) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (tan.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 (neg.f64 (cos.f64 x)) (+.f64 #s(literal 0 binary64) (tan.f64 x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) (*.f64 #s(literal 0 binary64) (tan.f64 x))))) (*.f64 (neg.f64 (cos.f64 x)) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))) (*.f64 (neg.f64 (cos.f64 x)) (+.f64 #s(literal 0 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) (*.f64 #s(literal 0 binary64) (tan.f64 x)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) (*.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64))) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 x)))) (*.f64 (neg.f64 (cos.f64 x)) (*.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 x)))) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal -1 binary64) (tan.f64 x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x))) |
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (tan.f64 x)) #s(literal -1 binary64)) |
(/.f64 (tan.f64 x) #s(literal 1 binary64)) |
(/.f64 (sin.f64 x) (*.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(neg.f64 (neg.f64 (tan.f64 x))) |
(tan.f64 x) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x))) (neg.f64 (tan.f64 x))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 x))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
Compiled 11 155 to 1 555 computations (86.1% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 494 | 6 | 500 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 495 | 6 | 501 |
| Status | Accuracy | Program |
|---|---|---|
| 86.2% | (/.f64 #s(approx (- x (sin x)) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (tan.f64 x)) | |
| ▶ | 86.0% | (/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x)) |
| ▶ | 99.7% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| ▶ | 99.7% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| ▶ | 99.6% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| ▶ | 99.3% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
Compiled 226 to 148 computations (34.5% saved)
| 1× | egg-herbie |
Found 19 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)) #s(literal 1/6 binary64)) | |
| cost-diff | 0 | #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) | |
| cost-diff | 0 | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) | |
| cost-diff | 0 | (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) | |
| cost-diff | 0 | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) | |
| cost-diff | 0 | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 289 |
| 0 | 57 | 289 |
| 1 | 101 | 289 |
| 2 | 179 | 289 |
| 3 | 388 | 289 |
| 4 | 823 | 289 |
| 5 | 1691 | 289 |
| 6 | 1869 | 289 |
| 7 | 2560 | 289 |
| 8 | 6431 | 289 |
| 0 | 8230 | 289 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) |
(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) |
#s(literal -143/604800 binary64) |
(*.f64 x x) |
x |
#s(literal -11/15120 binary64) |
#s(literal -23/360 binary64) |
#s(literal 1/6 binary64) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/6 binary64) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
#s(literal -23/360 binary64) |
(*.f64 x x) |
x |
#s(literal 1/6 binary64) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) |
#s(literal -11/15120 binary64) |
(*.f64 x x) |
x |
#s(literal -23/360 binary64) |
#s(literal 1/6 binary64) |
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x)) |
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal 1/6 binary64) |
(tan.f64 x) |
| Outputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) |
(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) |
#s(literal -143/604800 binary64) |
(*.f64 x x) |
x |
#s(literal -11/15120 binary64) |
#s(literal -23/360 binary64) |
#s(literal 1/6 binary64) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(literal 1/6 binary64) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
#s(literal -23/360 binary64) |
(*.f64 x x) |
x |
#s(literal 1/6 binary64) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) |
#s(literal -11/15120 binary64) |
(*.f64 x x) |
x |
#s(literal -23/360 binary64) |
#s(literal 1/6 binary64) |
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x)) |
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal 1/6 binary64) |
(tan.f64 x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (tan.f64 x) | |
| accuracy | 0.09375 | (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) | |
| accuracy | 0.2074612319706513 | #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) | |
| accuracy | 8.713964337746571 | (/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x)) | |
| accuracy | 0.0078125 | (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) | |
| accuracy | 0.03369417516822057 | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) | |
| accuracy | 0.1328125 | (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) | |
| accuracy | 0.38671875 | (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) | |
| accuracy | 0.00390625 | (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) | |
| accuracy | 0.08428536886701447 | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) | |
| accuracy | 0.1328125 | (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) | |
| accuracy | 0.3828125 | (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.17578125 | (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) | |
| accuracy | 0.24058331008687955 | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) | |
| accuracy | 0.00390625 | (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) | |
| accuracy | 0.00390625 | (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) | |
| accuracy | 0.1328125 | (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) | |
| accuracy | 0.38671875 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
| 296.0ms | 178× | 2 | valid |
| 79.0ms | 76× | 1 | valid |
| 1.0ms | 2× | 0 | valid |
Compiled 247 to 34 computations (86.2% saved)
ival-sin: 72.0ms (33.6% of total)adjust: 51.0ms (23.8% of total)ival-mult: 40.0ms (18.7% of total)const: 26.0ms (12.1% of total)ival-add: 13.0ms (6.1% of total)ival-div: 5.0ms (2.3% of total)ival-sub: 4.0ms (1.9% of total)ival-pow: 3.0ms (1.4% of total)ival-tan: 2.0ms (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 |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(*.f64 x x) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x)) |
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) |
(tan.f64 x) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(* 1/6 x) |
(* x (+ 1/6 (* -23/360 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
1/6 |
(+ 1/6 (* -23/360 (pow x 2))) |
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) |
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))) |
(pow x 2) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)))) |
(pow x 3) |
-11/15120 |
(- (* -143/604800 (pow x 2)) 11/15120) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))) |
(/ (* x (cos x)) (sin x)) |
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) |
(* -143/604800 (pow x 8)) |
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -143/604800 (pow x 7)) |
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -143/604800 (pow x 6)) |
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -23/360 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* -23/360 (pow x 3)) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* -23/360 (pow x 2)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* -11/15120 (pow x 6)) |
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -11/15120 (pow x 5)) |
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -11/15120 (pow x 4)) |
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* x (+ 1 (* -1 (/ (sin x) x)))) |
(* -143/604800 (pow x 2)) |
(* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(/ (sin x) (cos x)) |
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) |
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6)))))) |
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4))))) |
(* -1 (* x (- (/ (sin x) x) 1))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | ((/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) (+ (* -143/604800 (* x x)) -11/15120) (tan x)) |
| 4.0ms | x | @ | inf | ((/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) (+ (* -143/604800 (* x x)) -11/15120) (tan x)) |
| 3.0ms | x | @ | 0 | ((/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) (+ (* -143/604800 (* x x)) -11/15120) (tan x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 166 | 713 |
| 1 | 513 | 703 |
| 2 | 1678 | 693 |
| 3 | 5199 | 677 |
| 0 | 8110 | 641 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(* 1/6 x) |
(* x (+ 1/6 (* -23/360 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
1/6 |
(+ 1/6 (* -23/360 (pow x 2))) |
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) |
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))) |
(pow x 2) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)))) |
(pow x 3) |
-11/15120 |
(- (* -143/604800 (pow x 2)) 11/15120) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))) |
(/ (* x (cos x)) (sin x)) |
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) |
(* -143/604800 (pow x 8)) |
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -143/604800 (pow x 7)) |
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -143/604800 (pow x 6)) |
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -23/360 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* -23/360 (pow x 3)) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* -23/360 (pow x 2)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* -11/15120 (pow x 6)) |
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -11/15120 (pow x 5)) |
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -11/15120 (pow x 4)) |
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* x (+ 1 (* -1 (/ (sin x) x)))) |
(* -143/604800 (pow x 2)) |
(* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(/ (sin x) (cos x)) |
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) |
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6)))))) |
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4))))) |
(* -1 (* x (- (/ (sin x) x) 1))) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* x (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* -23/360 (pow x 2))) |
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) |
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* 1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
-11/15120 |
#s(literal -11/15120 binary64) |
(- (* -143/604800 (pow x 2)) 11/15120) |
(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) |
(fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x) |
(/ (* x (cos x)) (sin x)) |
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x)) |
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) |
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64))) |
(* -143/604800 (pow x 8)) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -143/604800 binary64)) |
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) x) x) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 143/604800 binary64)) (+.f64 (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 8 binary64))) |
(* -143/604800 (pow x 7)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -143/604800 binary64)) |
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) x) x) #s(literal 143/604800 binary64))) |
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 143/604800 binary64)) (+.f64 (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x))))) |
(* -143/604800 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -143/604800 binary64)) |
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) x) x) #s(literal 143/604800 binary64))) |
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64)) |
(* -23/360 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* -23/360 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(* -23/360 (pow x 2)) |
(*.f64 #s(literal -23/360 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
(* -11/15120 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -11/15120 binary64)) |
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (*.f64 x x)) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64))) |
(* -11/15120 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -11/15120 binary64)) |
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal -23/360 binary64) (*.f64 x x)) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(* -11/15120 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -11/15120 binary64)) |
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (*.f64 x x)) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 4 binary64))) |
(* x (+ 1 (* -1 (/ (sin x) x)))) |
(fma.f64 #s(literal -1 binary64) (sin.f64 x) x) |
(* -143/604800 (pow x 2)) |
(*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) |
(* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) |
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64))) |
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(*.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 143/604800 binary64)) (+.f64 (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x))))) |
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal -23/360 binary64) (*.f64 x x)) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(* -1 (* x (- (/ (sin x) x) 1))) |
(fma.f64 #s(literal -1 binary64) (sin.f64 x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 246 |
| 0 | 57 | 246 |
| 1 | 207 | 246 |
| 2 | 1326 | 246 |
| 0 | 8370 | 246 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(*.f64 x x) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x)) |
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) |
(tan.f64 x) |
| Outputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (*.f64 x x)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 x (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (*.f64 x x)) (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (*.f64 x x)))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) |
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(/.f64 (fma.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -121/228614400 binary64)) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))) (-.f64 #s(literal 121/228614400 binary64) (*.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 121/228614400 binary64) (-.f64 (*.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1573/9144576000 binary64)))) (fma.f64 #s(literal -2924207/221225582592000000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1331/3456649728000 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)))) |
(/.f64 (fma.f64 #s(literal -2924207/221225582592000000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1331/3456649728000 binary64)) (+.f64 #s(literal 121/228614400 binary64) (-.f64 (*.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1573/9144576000 binary64))))) |
(/.f64 (fma.f64 #s(literal -2924207/221225582592000000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1331/3456649728000 binary64)) (fma.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 121/228614400 binary64) (*.f64 (*.f64 x x) #s(literal 1573/9144576000 binary64))))) |
(fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) |
(fma.f64 (*.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 121/228614400 binary64) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64))))) |
(fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) |
(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) |
(fma.f64 x (*.f64 #s(literal -143/604800 binary64) x) #s(literal -11/15120 binary64)) |
(-.f64 (/.f64 #s(literal 121/228614400 binary64) (-.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))) (/.f64 (*.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64))) (/.f64 #s(literal 121/228614400 binary64) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64)))) |
(+.f64 (/.f64 (*.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64))) (neg.f64 (/.f64 #s(literal 121/228614400 binary64) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64))))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64)) |
(+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 x))) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) |
(*.f64 #s(literal 1 binary64) (tan.f64 x)) |
(*.f64 (tan.f64 x) #s(literal 1 binary64)) |
(*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (tan.f64 x)) #s(literal -1 binary64)) |
(/.f64 (tan.f64 x) #s(literal 1 binary64)) |
(/.f64 (sin.f64 x) (neg.f64 (neg.f64 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(neg.f64 (neg.f64 (tan.f64 x))) |
(tan.f64 x) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x))) (neg.f64 (tan.f64 x))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 x))) |
Compiled 17 895 to 2 241 computations (87.5% saved)
12 alts after pruning (8 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 468 | 8 | 476 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 470 | 12 | 482 |
| Status | Accuracy | Program |
|---|---|---|
| 86.0% | (/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)) (tan.f64 x)) | |
| ▶ | 99.7% | #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))) |
| ▶ | 99.6% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)) |
| 99.7% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x)) | |
| ✓ | 99.7% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| ✓ | 99.7% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| ✓ | 99.6% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| ▶ | 99.3% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))) x) x)) |
| ▶ | 99.4% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
| ✓ | 99.3% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
| 18.7% | #s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (*.f64 x x)) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64))))) | |
| ▶ | 28.9% | #s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
Compiled 540 to 369 computations (31.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))) x) x) | |
| cost-diff | 0 | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))) x) x)) | |
| cost-diff | 1 | (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64))) | |
| cost-diff | 2 | (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) | |
| cost-diff | 0 | (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) | |
| cost-diff | 0 | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) | |
| cost-diff | 0 | #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) | |
| cost-diff | 0 | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))) | |
| cost-diff | 2 | (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 562 |
| 0 | 102 | 552 |
| 1 | 189 | 548 |
| 2 | 420 | 548 |
| 3 | 1106 | 548 |
| 4 | 2856 | 544 |
| 5 | 6506 | 544 |
| 0 | 8586 | 529 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
(*.f64 x x) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
#s(literal -23/360 binary64) |
#s(literal 1/6 binary64) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) |
(*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) |
#s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
x |
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
#s(literal 1/6 binary64) |
(*.f64 x x) |
x |
#s(literal 23/360 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal 529/129600 binary64) |
#s(literal -1/36 binary64) |
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
#s(literal -23/360 binary64) |
(*.f64 x x) |
#s(literal -1/6 binary64) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))) x) x)) |
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))) x) x) |
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))) x) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))) |
(*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal 3 binary64) |
#s(literal 148035889/2176782336000000 binary64) |
#s(literal -1/46656 binary64) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) |
(pow.f64 x #s(literal 6 binary64)) |
#s(literal 6 binary64) |
#s(literal -12167/46656000 binary64) |
#s(literal -1/216 binary64) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))) |
#s(literal 529/129600 binary64) |
(-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64))) |
#s(literal 1/36 binary64) |
(*.f64 (*.f64 x x) #s(literal -23/2160 binary64)) |
(*.f64 x x) |
#s(literal -23/2160 binary64) |
| Outputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 x x) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
#s(literal -23/360 binary64) |
#s(literal 1/6 binary64) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) |
(*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) |
#s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
x |
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))))) |
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))) |
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
#s(literal 1/6 binary64) |
(*.f64 x x) |
x |
#s(literal 23/360 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) |
(*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) |
(*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) |
(fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal 529/129600 binary64) |
#s(literal -1/36 binary64) |
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
#s(literal -23/360 binary64) |
(*.f64 x x) |
#s(literal -1/6 binary64) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))) x) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/46656 binary64)) (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64))) (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)))) (*.f64 x x))) |
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))) x) x) |
(*.f64 (/.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/46656 binary64)) (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64))) (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)))) (*.f64 x x)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))) x) |
(/.f64 (*.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/46656 binary64)) x) (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64))) (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))) |
(/.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/46656 binary64)) (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64))) (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)))) |
(*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/46656 binary64)) |
(fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) |
(fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/46656 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal 3 binary64) |
#s(literal 148035889/2176782336000000 binary64) |
#s(literal -1/46656 binary64) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64))))) |
(*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64))) (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) |
(fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) |
(pow.f64 x #s(literal 6 binary64)) |
#s(literal 6 binary64) |
#s(literal -12167/46656000 binary64) |
#s(literal -1/216 binary64) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))) |
(fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64))) |
#s(literal 529/129600 binary64) |
(-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64))) |
(fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64)) |
#s(literal 1/36 binary64) |
(*.f64 (*.f64 x x) #s(literal -23/2160 binary64)) |
(*.f64 #s(literal -23/2160 binary64) (*.f64 x x)) |
(*.f64 x x) |
#s(literal -23/2160 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1328125 | (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))) x) x) | |
| accuracy | 0.3828125 | (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))) x) | |
| accuracy | 0.98828125 | (/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))) | |
| accuracy | 0.9921875 | (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64))))) | |
| accuracy | 0.08428536886701447 | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)) | |
| accuracy | 0.1328125 | (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) | |
| accuracy | 0.33984375 | (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) | |
| accuracy | 0.35546875 | (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) | |
| accuracy | 0.0078125 | (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) | |
| accuracy | 0.08428536886701447 | #s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))) | |
| accuracy | 0.18359375 | (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) | |
| accuracy | 44.898977767954456 | (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 0.0 | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) | |
| accuracy | 0.1328125 | (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) | |
| accuracy | 0.23964287296935188 | #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) | |
| accuracy | 0.38671875 | (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) | |
| accuracy | 0.00390625 | (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) | |
| accuracy | 0.0078125 | (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))) | |
| accuracy | 0.08428536886701447 | #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))) | |
| accuracy | 0.10546875 | (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
| 457.0ms | 178× | 2 | valid |
| 96.0ms | 76× | 1 | valid |
| 1.0ms | 2× | 0 | valid |
Compiled 457 to 64 computations (86% saved)
const: 206.0ms (42.3% of total)adjust: 54.0ms (11.1% of total)ival-mult: 54.0ms (11.1% of total)ival-sin: 46.0ms (9.5% of total)ival-sub: 46.0ms (9.5% of total)ival-div: 44.0ms (9% of total)ival-add: 20.0ms (4.1% of total)ival-pow: 13.0ms (2.7% of total)ival-tan: 2.0ms (0.4% of total)exact: 1.0ms (0.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))) |
(*.f64 x x) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) |
(*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) |
#s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) |
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) |
(*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))) x) x)) |
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))) x) x) |
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))) x) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(pow x 2) |
6 |
(+ 6 (* 23/10 (pow x 2))) |
(+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2))))) |
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2))))))) |
(* 1/6 x) |
(* x (+ 1/6 (* -23/360 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
1/6 |
(+ 1/6 (* -23/360 (pow x 2))) |
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) |
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))) |
(/ 1/6 (pow x 2)) |
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2)) |
(* -1/36 x) |
(* x (- (* 529/129600 (pow x 4)) 1/36)) |
-1/46656 |
(- (* 148035889/2176782336000000 (pow x 12)) 1/46656) |
1/36 |
(+ 1/36 (* 23/2160 (pow x 2))) |
-1/7776 |
(- (* -23/466560 (pow x 2)) 1/7776) |
(- (* (pow x 2) (- (* -529/27993600 (pow x 2)) 23/466560)) 1/7776) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -12167/1679616000 (pow x 2)) 529/27993600)) 23/466560)) 1/7776) |
(* -23/360 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(/ (* x (cos x)) (sin x)) |
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) |
(/ -360/23 (pow x 2)) |
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2)) |
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2)) |
(* -143/604800 (pow x 8)) |
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -143/604800 (pow x 7)) |
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -143/604800 (pow x 6)) |
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
-23/360 |
(- (* 1/6 (/ 1 (pow x 2))) 23/360) |
(* -23/360 (pow x 3)) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* 529/129600 (pow x 5)) |
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))) |
(* 148035889/2176782336000000 (pow x 12)) |
(* (pow x 12) (- 148035889/2176782336000000 (* 1/46656 (/ 1 (pow x 12))))) |
(* 23/2160 (pow x 2)) |
(* (pow x 2) (+ 23/2160 (* 1/36 (/ 1 (pow x 2))))) |
(* -23/360 (pow x 2)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* -6436343/6046617600000 (pow x 10)) |
(* -1 (* (pow x 10) (+ 6436343/6046617600000 (* 279841/100776960000 (/ 1 (pow x 2)))))) |
(* (pow x 10) (- (* -1 (/ (+ 279841/100776960000 (* 12167/1679616000 (/ 1 (pow x 2)))) (pow x 2))) 6436343/6046617600000)) |
(* (pow x 10) (- (* -1 (/ (+ 12167/1679616000 (* 529/27993600 (/ 1 (pow x 2)))) (pow x 4))) (+ 6436343/6046617600000 (* 279841/100776960000 (/ 1 (pow x 2)))))) |
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) |
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6)))))) |
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | inf | ((/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (/ (- x (sin x)) (tan x)) (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6)) (/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (- (/ 1/6 (* x x)) 23/360) (pow x 4)) (- (/ 1/6 (* x x)) 23/360) (/ (- x (sin x)) (tan x)) (* (/ (* (+ (* (pow x 4) 529/129600) -1/36) x) (+ (* -23/360 (* x x)) -1/6)) x) (/ (* (+ (* (pow x 4) 529/129600) -1/36) x) (+ (* -23/360 (* x x)) -1/6)) (* (+ (* (pow x 4) 529/129600) -1/36) x) (* (+ (* (pow (pow x 4) 3) 148035889/2176782336000000) -1/46656) 1) (- 1/36 (* (* x x) -23/2160)) (/ (- x (sin x)) (tan x)) (* (* (/ (* (+ (* (pow (pow x 4) 3) 148035889/2176782336000000) -1/46656) 1) (* (+ (* (pow x 6) -12167/46656000) -1/216) (+ (* (pow x 4) 529/129600) (- 1/36 (* (* x x) -23/2160))))) x) x) (+ (* -23/360 (* x x)) 1/6) (/ 1/6 (* x x)) (* (+ (* (pow x 6) -12167/46656000) -1/216) (+ (* (pow x 4) 529/129600) (- 1/36 (* (* x x) -23/2160)))) (/ (* (+ (* (pow (pow x 4) 3) 148035889/2176782336000000) -1/46656) 1) (* (+ (* (pow x 6) -12167/46656000) -1/216) (+ (* (pow x 4) 529/129600) (- 1/36 (* (* x x) -23/2160))))) (* (/ (* (+ (* (pow (pow x 4) 3) 148035889/2176782336000000) -1/46656) 1) (* (+ (* (pow x 6) -12167/46656000) -1/216) (+ (* (pow x 4) 529/129600) (- 1/36 (* (* x x) -23/2160))))) x)) |
| 8.0ms | x | @ | 0 | ((/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (/ (- x (sin x)) (tan x)) (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6)) (/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (- (/ 1/6 (* x x)) 23/360) (pow x 4)) (- (/ 1/6 (* x x)) 23/360) (/ (- x (sin x)) (tan x)) (* (/ (* (+ (* (pow x 4) 529/129600) -1/36) x) (+ (* -23/360 (* x x)) -1/6)) x) (/ (* (+ (* (pow x 4) 529/129600) -1/36) x) (+ (* -23/360 (* x x)) -1/6)) (* (+ (* (pow x 4) 529/129600) -1/36) x) (* (+ (* (pow (pow x 4) 3) 148035889/2176782336000000) -1/46656) 1) (- 1/36 (* (* x x) -23/2160)) (/ (- x (sin x)) (tan x)) (* (* (/ (* (+ (* (pow (pow x 4) 3) 148035889/2176782336000000) -1/46656) 1) (* (+ (* (pow x 6) -12167/46656000) -1/216) (+ (* (pow x 4) 529/129600) (- 1/36 (* (* x x) -23/2160))))) x) x) (+ (* -23/360 (* x x)) 1/6) (/ 1/6 (* x x)) (* (+ (* (pow x 6) -12167/46656000) -1/216) (+ (* (pow x 4) 529/129600) (- 1/36 (* (* x x) -23/2160)))) (/ (* (+ (* (pow (pow x 4) 3) 148035889/2176782336000000) -1/46656) 1) (* (+ (* (pow x 6) -12167/46656000) -1/216) (+ (* (pow x 4) 529/129600) (- 1/36 (* (* x x) -23/2160))))) (* (/ (* (+ (* (pow (pow x 4) 3) 148035889/2176782336000000) -1/46656) 1) (* (+ (* (pow x 6) -12167/46656000) -1/216) (+ (* (pow x 4) 529/129600) (- 1/36 (* (* x x) -23/2160))))) x)) |
| 5.0ms | x | @ | -inf | ((/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (/ (- x (sin x)) (tan x)) (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6)) (/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (- (/ 1/6 (* x x)) 23/360) (pow x 4)) (- (/ 1/6 (* x x)) 23/360) (/ (- x (sin x)) (tan x)) (* (/ (* (+ (* (pow x 4) 529/129600) -1/36) x) (+ (* -23/360 (* x x)) -1/6)) x) (/ (* (+ (* (pow x 4) 529/129600) -1/36) x) (+ (* -23/360 (* x x)) -1/6)) (* (+ (* (pow x 4) 529/129600) -1/36) x) (* (+ (* (pow (pow x 4) 3) 148035889/2176782336000000) -1/46656) 1) (- 1/36 (* (* x x) -23/2160)) (/ (- x (sin x)) (tan x)) (* (* (/ (* (+ (* (pow (pow x 4) 3) 148035889/2176782336000000) -1/46656) 1) (* (+ (* (pow x 6) -12167/46656000) -1/216) (+ (* (pow x 4) 529/129600) (- 1/36 (* (* x x) -23/2160))))) x) x) (+ (* -23/360 (* x x)) 1/6) (/ 1/6 (* x x)) (* (+ (* (pow x 6) -12167/46656000) -1/216) (+ (* (pow x 4) 529/129600) (- 1/36 (* (* x x) -23/2160)))) (/ (* (+ (* (pow (pow x 4) 3) 148035889/2176782336000000) -1/46656) 1) (* (+ (* (pow x 6) -12167/46656000) -1/216) (+ (* (pow x 4) 529/129600) (- 1/36 (* (* x x) -23/2160))))) (* (/ (* (+ (* (pow (pow x 4) 3) 148035889/2176782336000000) -1/46656) 1) (* (+ (* (pow x 6) -12167/46656000) -1/216) (+ (* (pow x 4) 529/129600) (- 1/36 (* (* x x) -23/2160))))) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 214 | 747 |
| 1 | 563 | 745 |
| 2 | 1612 | 732 |
| 3 | 4168 | 722 |
| 0 | 8651 | 682 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(pow x 2) |
6 |
(+ 6 (* 23/10 (pow x 2))) |
(+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2))))) |
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2))))))) |
(* 1/6 x) |
(* x (+ 1/6 (* -23/360 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
1/6 |
(+ 1/6 (* -23/360 (pow x 2))) |
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) |
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))) |
(/ 1/6 (pow x 2)) |
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2)) |
(* -1/36 x) |
(* x (- (* 529/129600 (pow x 4)) 1/36)) |
-1/46656 |
(- (* 148035889/2176782336000000 (pow x 12)) 1/46656) |
1/36 |
(+ 1/36 (* 23/2160 (pow x 2))) |
-1/7776 |
(- (* -23/466560 (pow x 2)) 1/7776) |
(- (* (pow x 2) (- (* -529/27993600 (pow x 2)) 23/466560)) 1/7776) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -12167/1679616000 (pow x 2)) 529/27993600)) 23/466560)) 1/7776) |
(* -23/360 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(/ (* x (cos x)) (sin x)) |
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) |
(/ -360/23 (pow x 2)) |
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2)) |
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2)) |
(* -143/604800 (pow x 8)) |
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -143/604800 (pow x 7)) |
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -143/604800 (pow x 6)) |
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
-23/360 |
(- (* 1/6 (/ 1 (pow x 2))) 23/360) |
(* -23/360 (pow x 3)) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* 529/129600 (pow x 5)) |
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))) |
(* 148035889/2176782336000000 (pow x 12)) |
(* (pow x 12) (- 148035889/2176782336000000 (* 1/46656 (/ 1 (pow x 12))))) |
(* 23/2160 (pow x 2)) |
(* (pow x 2) (+ 23/2160 (* 1/36 (/ 1 (pow x 2))))) |
(* -23/360 (pow x 2)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* -6436343/6046617600000 (pow x 10)) |
(* -1 (* (pow x 10) (+ 6436343/6046617600000 (* 279841/100776960000 (/ 1 (pow x 2)))))) |
(* (pow x 10) (- (* -1 (/ (+ 279841/100776960000 (* 12167/1679616000 (/ 1 (pow x 2)))) (pow x 2))) 6436343/6046617600000)) |
(* (pow x 10) (- (* -1 (/ (+ 12167/1679616000 (* 529/27993600 (/ 1 (pow x 2)))) (pow x 4))) (+ 6436343/6046617600000 (* 279841/100776960000 (/ 1 (pow x 2)))))) |
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) |
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6)))))) |
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(pow x 2) |
(*.f64 x x) |
6 |
#s(literal 6 binary64) |
(+ 6 (* 23/10 (pow x 2))) |
(fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)) |
(+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 529/600 binary64) (*.f64 x x) #s(literal 23/10 binary64)) (*.f64 x x) #s(literal 6 binary64)) |
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 12167/36000 binary64) (*.f64 x x) #s(literal 529/600 binary64)) (*.f64 x x) #s(literal 23/10 binary64)) (*.f64 x x) #s(literal 6 binary64)) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* x (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) |
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* -23/360 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(/ 1/6 (pow x 2)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x) |
(* -1/36 x) |
(*.f64 #s(literal -1/36 binary64) x) |
(* x (- (* 529/129600 (pow x 4)) 1/36)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) |
-1/46656 |
#s(literal -1/46656 binary64) |
(- (* 148035889/2176782336000000 (pow x 12)) 1/46656) |
(fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) |
1/36 |
#s(literal 1/36 binary64) |
(+ 1/36 (* 23/2160 (pow x 2))) |
(fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64)) |
-1/7776 |
#s(literal -1/7776 binary64) |
(- (* -23/466560 (pow x 2)) 1/7776) |
(fma.f64 #s(literal -23/466560 binary64) (*.f64 x x) #s(literal -1/7776 binary64)) |
(- (* (pow x 2) (- (* -529/27993600 (pow x 2)) 23/466560)) 1/7776) |
(fma.f64 (fma.f64 #s(literal -529/27993600 binary64) (*.f64 x x) #s(literal -23/466560 binary64)) (*.f64 x x) #s(literal -1/7776 binary64)) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -12167/1679616000 (pow x 2)) 529/27993600)) 23/466560)) 1/7776) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -12167/1679616000 binary64) (*.f64 x x) #s(literal -529/27993600 binary64)) (*.f64 x x) #s(literal -23/466560 binary64)) (*.f64 x x) #s(literal -1/7776 binary64)) |
(* -23/360 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(/ (* x (cos x)) (sin x)) |
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x)) |
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) |
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64))) |
(/ -360/23 (pow x 2)) |
(/.f64 #s(literal -360/23 binary64) (*.f64 x x)) |
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (/.f64 (-.f64 #s(literal -360/23 binary64) (/.f64 #s(literal 21600/529 binary64) (*.f64 x x))) x) x) |
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2)) |
(/.f64 (-.f64 (/.f64 #s(literal -360/23 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1296000/12167 binary64) (*.f64 x x)) #s(literal 21600/529 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) |
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 #s(literal -360/23 binary64) (/.f64 #s(literal 21600/529 binary64) (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 77760000/279841 binary64) (*.f64 x x)) #s(literal 1296000/12167 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x)) |
(* -143/604800 (pow x 8)) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -143/604800 binary64)) |
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) x) x) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 143/604800 binary64)) (+.f64 (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 8 binary64))) |
(* -143/604800 (pow x 7)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -143/604800 binary64)) |
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) x) x) #s(literal 143/604800 binary64))) |
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 143/604800 binary64)) (+.f64 (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x))))) |
(* -143/604800 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -143/604800 binary64)) |
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) x) x) #s(literal 143/604800 binary64))) |
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64)) |
-23/360 |
#s(literal -23/360 binary64) |
(- (* 1/6 (/ 1 (pow x 2))) 23/360) |
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) |
(* -23/360 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) |
(* 529/129600 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 529/129600 binary64)) |
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -529/129600 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* 148035889/2176782336000000 (pow x 12)) |
(*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 148035889/2176782336000000 binary64)) |
(* (pow x 12) (- 148035889/2176782336000000 (* 1/46656 (/ 1 (pow x 12))))) |
(fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) |
(* 23/2160 (pow x 2)) |
(*.f64 #s(literal 23/2160 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 23/2160 (* 1/36 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64)) |
(* -23/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -23/360 binary64)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) |
(* -6436343/6046617600000 (pow x 10)) |
(*.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal -6436343/6046617600000 binary64)) |
(* -1 (* (pow x 10) (+ 6436343/6046617600000 (* 279841/100776960000 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 #s(literal -6436343/6046617600000 binary64) (/.f64 #s(literal 279841/100776960000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 10 binary64))) |
(* (pow x 10) (- (* -1 (/ (+ 279841/100776960000 (* 12167/1679616000 (/ 1 (pow x 2)))) (pow x 2))) 6436343/6046617600000)) |
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -279841/100776960000 binary64) (/.f64 #s(literal 12167/1679616000 binary64) (*.f64 x x))) x) x) #s(literal 6436343/6046617600000 binary64)) (pow.f64 x #s(literal 10 binary64))) |
(* (pow x 10) (- (* -1 (/ (+ 12167/1679616000 (* 529/27993600 (/ 1 (pow x 2)))) (pow x 4))) (+ 6436343/6046617600000 (* 279841/100776960000 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (-.f64 #s(literal -6436343/6046617600000 binary64) (/.f64 #s(literal 279841/100776960000 binary64) (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 529/27993600 binary64) (*.f64 x x)) #s(literal 12167/1679616000 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 10 binary64))) |
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) |
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64))) |
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(*.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 143/604800 binary64)) (+.f64 (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x))))) |
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) |
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -529/129600 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 465 |
| 0 | 102 | 366 |
| 1 | 398 | 340 |
| 2 | 2956 | 340 |
| 0 | 8509 | 322 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))) |
(*.f64 x x) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) |
(*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) |
#s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) |
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) |
(*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))) x) x)) |
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))) x) x) |
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))) x) |
| Outputs |
|---|
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64))) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64)))) |
(*.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (neg.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64))) #s(literal -1 binary64)) (*.f64 x x))) |
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/46656 binary64)) (*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64))) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64))) (*.f64 x x))) |
(*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (*.f64 (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 x (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)) |
(pow.f64 (/.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/46656 binary64)) x) x)) (*.f64 (neg.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/46656 binary64))) (*.f64 x x))) (neg.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/46656 binary64)) (*.f64 x x))) (*.f64 (neg.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) x)) (neg.f64 (neg.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/46656 binary64)) x))) (*.f64 (neg.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 (neg.f64 x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (neg.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 x) x))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)))) (neg.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/46656 binary64)) x) x) (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)) (*.f64 x x)) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64)))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/46656 binary64))) (*.f64 x x)) (*.f64 (neg.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/46656 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) x) (neg.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/46656 binary64)) x)) (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)))) |
(/.f64 (*.f64 x (*.f64 (neg.f64 x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) x) (pow.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64))) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
(/.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))) |
(/.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(/.f64 x (pow.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))) |
(fma.f64 (*.f64 #s(literal -23/360 binary64) (*.f64 x x)) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal -23/360 binary64) (*.f64 x x)) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal -23/360 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal -23/360 binary64) (*.f64 x x)))) |
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(pow.f64 (/.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64))) (*.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/46656 binary64)) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) x) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/46656 binary64)) x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64))))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/46656 binary64)) x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)))) (neg.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)) x)) (neg.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/46656 binary64))) x)) (neg.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 279841/16796160000 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/1296 binary64)) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) (neg.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/46656 binary64)) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) (neg.f64 (fma.f64 #s(literal 279841/16796160000 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/1296 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/4665600 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (neg.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/46656 binary64))))) (neg.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)))) (neg.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64))))) |
(/.f64 (neg.f64 (/.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/46656 binary64)) x))) (neg.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 279841/16796160000 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/1296 binary64)) x)) (neg.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) |
(/.f64 (neg.f64 (neg.f64 x)) (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
(/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/46656 binary64)) x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64))) |
(/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/46656 binary64)) x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64))) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)) x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64)))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/46656 binary64))) x) (*.f64 (neg.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 279841/16796160000 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/1296 binary64)) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/46656 binary64)) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (fma.f64 #s(literal 279841/16796160000 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/1296 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/4665600 binary64))))) |
(/.f64 (*.f64 x (neg.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/46656 binary64)))) (*.f64 (neg.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) #s(literal 1 binary64)) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) x) (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64))) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64)))) |
(/.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/46656 binary64)) x)) (neg.f64 (*.f64 (fma.f64 #s(literal 279841/16796160000 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/1296 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/4665600 binary64)))) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/46656 binary64)) x)) (*.f64 (neg.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)))) |
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 279841/16796160000 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/1296 binary64)) x) (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/46656 binary64)) x) (*.f64 (fma.f64 #s(literal 279841/16796160000 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/1296 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/4665600 binary64)))) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/46656 binary64)) x) (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)))) |
(/.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64))) (*.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/46656 binary64)) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64))) (*.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/46656 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64))) |
(/.f64 x (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) |
(neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (neg.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) |
(fma.f64 (*.f64 #s(literal -23/360 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x)) |
(fma.f64 #s(literal 1/6 binary64) x (*.f64 (*.f64 #s(literal -23/360 binary64) (*.f64 x x)) x)) |
(fma.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 x #s(literal 1/6 binary64) (*.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (neg.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 #s(literal -23/360 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x)) |
(+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 #s(literal -23/360 binary64) (*.f64 x x)) x)) |
(+.f64 (*.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x x))) (*.f64 x #s(literal 1/6 binary64))) |
(+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x x)))) |
Compiled 39 638 to 4 508 computations (88.6% saved)
14 alts after pruning (9 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 831 | 7 | 838 |
| Fresh | 1 | 2 | 3 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 4 | 4 |
| Total | 836 | 14 | 850 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 86.0% | (/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)) (tan.f64 x)) |
| 99.2% | #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))) | |
| ▶ | 99.7% | #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))))) |
| ▶ | 99.5% | #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))) |
| 99.6% | #s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (pow.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)))) | |
| 99.6% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 #s(approx (* (+ (* (pow x 4) 529/129600) -1/36) x) (*.f64 #s(literal -1/36 binary64) x)) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)) | |
| ▶ | 99.7% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x)) |
| ✓ | 99.7% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| ✓ | 99.7% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| ▶ | 99.6% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) |
| ✓ | 99.6% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| ✓ | 99.4% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
| ✓ | 99.3% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
| 28.6% | #s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 #s(approx (- (/ 1/6 (* x x)) 23/360) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))) |
Compiled 555 to 380 computations (31.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (- x (sin x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)) (tan.f64 x)) | |
| cost-diff | 2 | (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))) | |
| cost-diff | 0 | (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x) | |
| cost-diff | 0 | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x)) | |
| cost-diff | 2 | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) | |
| cost-diff | 0 | #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) | |
| cost-diff | 0 | #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))) | |
| cost-diff | 0 | #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 315 |
| 0 | 65 | 315 |
| 1 | 103 | 309 |
| 2 | 163 | 303 |
| 3 | 305 | 303 |
| 4 | 460 | 303 |
| 5 | 816 | 303 |
| 6 | 1297 | 303 |
| 7 | 2153 | 303 |
| 8 | 5054 | 303 |
| 9 | 7019 | 303 |
| 10 | 7875 | 303 |
| 0 | 8028 | 303 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))))) |
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))) |
(*.f64 x x) |
x |
#s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))) |
(fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)) |
#s(literal 23/10 binary64) |
#s(literal 6 binary64) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))) |
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) |
(*.f64 x x) |
x |
#s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) |
#s(literal 6 binary64) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x)) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
#s(literal -23/360 binary64) |
(*.f64 x x) |
#s(literal 1/6 binary64) |
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)) (tan.f64 x)) |
#s(approx (- x (sin 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 |
(tan.f64 x) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) |
(fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) |
#s(literal 529/129600 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal -1/36 binary64) |
(/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
#s(literal -23/360 binary64) |
(*.f64 x x) |
#s(literal -1/6 binary64) |
| Outputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))))) |
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))) |
(*.f64 x x) |
x |
#s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))) |
(fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)) |
#s(literal 23/10 binary64) |
#s(literal 6 binary64) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x)) |
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) |
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x) |
(*.f64 x x) |
x |
#s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) |
#s(literal 6 binary64) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x) |
(*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
(*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
#s(literal -23/360 binary64) |
(*.f64 x x) |
#s(literal 1/6 binary64) |
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)) (tan.f64 x)) |
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x)) |
#s(approx (- x (sin x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)) |
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
#s(literal 1/6 binary64) |
(*.f64 x x) |
x |
(tan.f64 x) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))) |
(*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) |
(fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) |
#s(literal 529/129600 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal -1/36 binary64) |
(/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
#s(literal -23/360 binary64) |
(*.f64 x x) |
#s(literal -1/6 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.08428536886701447 | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) | |
| accuracy | 0.217128759768442 | (*.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) | |
| accuracy | 0.35546875 | (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) | |
| accuracy | 0.5 | (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) | |
| accuracy | 0.08984375 | (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) | |
| accuracy | 0.17578125 | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) | |
| accuracy | 0.2074612319706513 | #s(approx (- x (sin x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)) | |
| accuracy | 8.713964337746571 | (/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)) (tan.f64 x)) | |
| accuracy | 0.0078125 | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) | |
| accuracy | 0.0078125 | (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))) | |
| accuracy | 0.08428536886701447 | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x)) | |
| accuracy | 0.1328125 | (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.08428536886701447 | #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))) | |
| accuracy | 0.10546875 | (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) | |
| accuracy | 0.241616031396994 | #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.08428536886701447 | #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))))) | |
| accuracy | 0.10546875 | (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))) | |
| accuracy | 0.10606612096811861 | #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))) |
| 196.0ms | 143× | 2 | valid |
| 138.0ms | 36× | 3 | valid |
| 71.0ms | 75× | 1 | valid |
| 1.0ms | 2× | 0 | valid |
Compiled 232 to 34 computations (85.3% saved)
ival-sin: 78.0ms (30.6% of total)ival-mult: 53.0ms (20.8% of total)ival-add: 42.0ms (16.5% of total)const: 31.0ms (12.2% of total)adjust: 22.0ms (8.6% of total)ival-div: 19.0ms (7.5% of total)ival-sub: 4.0ms (1.6% of total)ival-pow: 3.0ms (1.2% of total)ival-tan: 2.0ms (0.8% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))))) |
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))) |
(*.f64 x x) |
#s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))) |
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) |
#s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x)) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)) (tan.f64 x)) |
#s(approx (- x (sin x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) |
(fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) |
(/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(pow x 2) |
6 |
(+ 6 (* 23/10 (pow x 2))) |
(+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2))))) |
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2))))))) |
(* 1/6 x) |
(* x (+ 1/6 (* -23/360 (pow x 2)))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)))) |
(* -1/36 x) |
(* x (- (* 529/129600 (pow x 4)) 1/36)) |
-1/36 |
(- (* 529/129600 (pow x 4)) 1/36) |
(* -6 x) |
(* x (- (* 23/10 (pow x 2)) 6)) |
(* x (- (* (pow x 2) (+ 23/10 (* -529/600 (pow x 2)))) 6)) |
(* x (- (* (pow x 2) (+ 23/10 (* (pow x 2) (- (* 12167/36000 (pow x 2)) 529/600)))) 6)) |
(/ (* x (cos x)) (sin x)) |
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) |
(* -23/360 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(/ -360/23 (pow x 2)) |
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2)) |
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2)) |
(* -23/360 (pow x 3)) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
x |
(* x (+ 1 (* -1 (/ (sin x) x)))) |
(* 529/129600 (pow x 5)) |
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))) |
(* 529/129600 (pow x 4)) |
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))) |
(/ -360/23 x) |
(/ (- (* 21600/529 (/ 1 (pow x 2))) 360/23) x) |
(/ (- (* 21600/529 (/ 1 (pow x 2))) (+ 360/23 (/ 1296000/12167 (pow x 4)))) x) |
(/ (- (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6)))) (+ 360/23 (/ 1296000/12167 (pow x 4)))) x) |
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) |
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (/ (sin x) x) 1))) |
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))) |
(* -1 (/ (- 360/23 (* 21600/529 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (* 21600/529 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6))))) x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 92.0ms | x | @ | -inf | ((/ (- x (sin x)) (tan x)) (/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6)) (/ (- x (sin x)) (tan x)) (/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (/ 1 (+ (* -23/360 (* x x)) 1/6)) (/ x (/ 1 (+ (* -23/360 (* x x)) 1/6))) (/ (- x (sin x)) (tan x)) (* (/ x (/ 1 (+ (* -23/360 (* x x)) 1/6))) x) (/ 1 (+ (* -23/360 (* x x)) 1/6)) (* (* 1/6 (* x x)) x) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* 1/6 (* x x)) (/ (- x (sin x)) (tan x)) (* (* (+ (* 529/129600 (pow x 4)) -1/36) x) (/ x (+ (* -23/360 (* x x)) -1/6))) (* (+ (* 529/129600 (pow x 4)) -1/36) x) (+ (* 529/129600 (pow x 4)) -1/36) (/ x (+ (* -23/360 (* x x)) -1/6))) |
| 3.0ms | x | @ | inf | ((/ (- x (sin x)) (tan x)) (/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6)) (/ (- x (sin x)) (tan x)) (/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (/ 1 (+ (* -23/360 (* x x)) 1/6)) (/ x (/ 1 (+ (* -23/360 (* x x)) 1/6))) (/ (- x (sin x)) (tan x)) (* (/ x (/ 1 (+ (* -23/360 (* x x)) 1/6))) x) (/ 1 (+ (* -23/360 (* x x)) 1/6)) (* (* 1/6 (* x x)) x) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* 1/6 (* x x)) (/ (- x (sin x)) (tan x)) (* (* (+ (* 529/129600 (pow x 4)) -1/36) x) (/ x (+ (* -23/360 (* x x)) -1/6))) (* (+ (* 529/129600 (pow x 4)) -1/36) x) (+ (* 529/129600 (pow x 4)) -1/36) (/ x (+ (* -23/360 (* x x)) -1/6))) |
| 2.0ms | x | @ | 0 | ((/ (- x (sin x)) (tan x)) (/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6)) (/ (- x (sin x)) (tan x)) (/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (/ 1 (+ (* -23/360 (* x x)) 1/6)) (/ x (/ 1 (+ (* -23/360 (* x x)) 1/6))) (/ (- x (sin x)) (tan x)) (* (/ x (/ 1 (+ (* -23/360 (* x x)) 1/6))) x) (/ 1 (+ (* -23/360 (* x x)) 1/6)) (* (* 1/6 (* x x)) x) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* 1/6 (* x x)) (/ (- x (sin x)) (tan x)) (* (* (+ (* 529/129600 (pow x 4)) -1/36) x) (/ x (+ (* -23/360 (* x x)) -1/6))) (* (+ (* 529/129600 (pow x 4)) -1/36) x) (+ (* 529/129600 (pow x 4)) -1/36) (/ x (+ (* -23/360 (* x x)) -1/6))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 177 | 521 |
| 1 | 485 | 516 |
| 2 | 1331 | 514 |
| 3 | 3973 | 502 |
| 0 | 8169 | 474 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(pow x 2) |
6 |
(+ 6 (* 23/10 (pow x 2))) |
(+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2))))) |
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2))))))) |
(* 1/6 x) |
(* x (+ 1/6 (* -23/360 (pow x 2)))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)))) |
(* -1/36 x) |
(* x (- (* 529/129600 (pow x 4)) 1/36)) |
-1/36 |
(- (* 529/129600 (pow x 4)) 1/36) |
(* -6 x) |
(* x (- (* 23/10 (pow x 2)) 6)) |
(* x (- (* (pow x 2) (+ 23/10 (* -529/600 (pow x 2)))) 6)) |
(* x (- (* (pow x 2) (+ 23/10 (* (pow x 2) (- (* 12167/36000 (pow x 2)) 529/600)))) 6)) |
(/ (* x (cos x)) (sin x)) |
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) |
(* -23/360 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(/ -360/23 (pow x 2)) |
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2)) |
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2)) |
(* -23/360 (pow x 3)) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
x |
(* x (+ 1 (* -1 (/ (sin x) x)))) |
(* 529/129600 (pow x 5)) |
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))) |
(* 529/129600 (pow x 4)) |
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))) |
(/ -360/23 x) |
(/ (- (* 21600/529 (/ 1 (pow x 2))) 360/23) x) |
(/ (- (* 21600/529 (/ 1 (pow x 2))) (+ 360/23 (/ 1296000/12167 (pow x 4)))) x) |
(/ (- (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6)))) (+ 360/23 (/ 1296000/12167 (pow x 4)))) x) |
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) |
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (/ (sin x) x) 1))) |
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))) |
(* -1 (/ (- 360/23 (* 21600/529 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (* 21600/529 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6))))) x)) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(pow x 2) |
(*.f64 x x) |
6 |
#s(literal 6 binary64) |
(+ 6 (* 23/10 (pow x 2))) |
(fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)) |
(+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 529/600 binary64) (*.f64 x x) #s(literal 23/10 binary64)) (*.f64 x x) #s(literal 6 binary64)) |
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 12167/36000 binary64) (*.f64 x x) #s(literal 529/600 binary64)) (*.f64 x x) #s(literal 23/10 binary64)) (*.f64 x x) #s(literal 6 binary64)) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* x (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) |
(* 1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1/36 x) |
(*.f64 #s(literal -1/36 binary64) x) |
(* x (- (* 529/129600 (pow x 4)) 1/36)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) |
-1/36 |
#s(literal -1/36 binary64) |
(- (* 529/129600 (pow x 4)) 1/36) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) |
(* -6 x) |
(*.f64 #s(literal -6 binary64) x) |
(* x (- (* 23/10 (pow x 2)) 6)) |
(*.f64 (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal -6 binary64)) x) |
(* x (- (* (pow x 2) (+ 23/10 (* -529/600 (pow x 2)))) 6)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -529/600 binary64) (*.f64 x x) #s(literal 23/10 binary64)) (*.f64 x x) #s(literal -6 binary64)) x) |
(* x (- (* (pow x 2) (+ 23/10 (* (pow x 2) (- (* 12167/36000 (pow x 2)) 529/600)))) 6)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 12167/36000 binary64) (*.f64 x x) #s(literal -529/600 binary64)) (*.f64 x x) #s(literal 23/10 binary64)) (*.f64 x x) #s(literal -6 binary64)) x) |
(/ (* x (cos x)) (sin x)) |
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x)) |
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) |
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64))) |
(* -23/360 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(/ -360/23 (pow x 2)) |
(/.f64 (/.f64 #s(literal -360/23 binary64) x) x) |
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal -21600/529 binary64) (*.f64 x x)) #s(literal 360/23 binary64)) x) x) |
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2)) |
(/.f64 (-.f64 (/.f64 #s(literal -360/23 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1296000/12167 binary64) (*.f64 x x)) #s(literal 21600/529 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) |
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -21600/529 binary64) (*.f64 x x)) #s(literal 360/23 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 77760000/279841 binary64) (*.f64 x x)) #s(literal 1296000/12167 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x)) |
(* -23/360 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) |
x |
(* x (+ 1 (* -1 (/ (sin x) x)))) |
(fma.f64 #s(literal -1 binary64) (sin.f64 x) x) |
(* 529/129600 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 529/129600 binary64)) |
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))) |
(*.f64 (-.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64))) |
(* 529/129600 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) |
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) |
(/ -360/23 x) |
(/.f64 #s(literal -360/23 binary64) x) |
(/ (- (* 21600/529 (/ 1 (pow x 2))) 360/23) x) |
(/.f64 (-.f64 (/.f64 #s(literal 21600/529 binary64) (*.f64 x x)) #s(literal 360/23 binary64)) x) |
(/ (- (* 21600/529 (/ 1 (pow x 2))) (+ 360/23 (/ 1296000/12167 (pow x 4)))) x) |
(-.f64 (/.f64 (-.f64 #s(literal -360/23 binary64) (/.f64 #s(literal 1296000/12167 binary64) (pow.f64 x #s(literal 4 binary64)))) x) (/.f64 #s(literal -21600/529 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/ (- (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6)))) (+ 360/23 (/ 1296000/12167 (pow x 4)))) x) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 77760000/279841 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 360/23 binary64)) (-.f64 (/.f64 #s(literal 1296000/12167 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 21600/529 binary64) (*.f64 x x)))) x) |
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) |
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64))) |
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* x (- (/ (sin x) x) 1))) |
(fma.f64 #s(literal -1 binary64) (sin.f64 x) x) |
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))) |
(*.f64 (-.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (/ (- 360/23 (* 21600/529 (/ 1 (pow x 2)))) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 21600/529 binary64) (*.f64 x x)) #s(literal 360/23 binary64)) x) |
(* -1 (/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (* 21600/529 (/ 1 (pow x 2)))) x)) |
(-.f64 (/.f64 (-.f64 #s(literal -360/23 binary64) (/.f64 #s(literal 1296000/12167 binary64) (pow.f64 x #s(literal 4 binary64)))) x) (/.f64 #s(literal -21600/529 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(* -1 (/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6))))) x)) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 77760000/279841 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 360/23 binary64)) (-.f64 (/.f64 #s(literal 1296000/12167 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 21600/529 binary64) (*.f64 x x)))) x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 263 |
| 0 | 65 | 253 |
| 1 | 222 | 237 |
| 2 | 1278 | 237 |
| 0 | 8596 | 237 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))))) |
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))) |
(*.f64 x x) |
#s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))) |
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) |
#s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x)) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)) (tan.f64 x)) |
#s(approx (- x (sin x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) |
(fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) |
(/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
| Outputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))))) |
(*.f64 (*.f64 (pow.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))) #s(literal -1 binary64)) x) x) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))))) |
(*.f64 (pow.f64 (*.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))) (pow.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))) (pow.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))) x) |
(*.f64 (pow.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))) #s(literal -1 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))))) |
(*.f64 (neg.f64 x) (/.f64 (neg.f64 x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 x) x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))))) |
(*.f64 (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))))) |
(*.f64 (*.f64 x x) (pow.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))) #s(literal -1 binary64))) |
(*.f64 x (/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))))) |
(pow.f64 (*.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))) (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) |
(/.f64 (/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))) (*.f64 (neg.f64 x) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))) (pow.f64 x #s(literal -2 binary64)))) |
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))) |
(/.f64 x (/.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))) x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))) (pow.f64 x #s(literal -2 binary64))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))))) (/.f64 (*.f64 (neg.f64 x) x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (neg.f64 x) x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))) (pow.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) |
(/.f64 (*.f64 x x) #s(literal 1 binary64)) |
(/.f64 x (pow.f64 x #s(literal -1 binary64))) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))))) |
(*.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))) |
#s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))) |
(/.f64 (neg.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))) #s(literal -1 binary64)) |
(/.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x)) |
(*.f64 (*.f64 (pow.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) #s(literal -1 binary64)) x) x) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))) |
(*.f64 (pow.f64 (*.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x) |
(*.f64 (pow.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) #s(literal -1 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))) |
(*.f64 (neg.f64 x) (/.f64 (neg.f64 x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))))) |
(*.f64 (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x)) |
(*.f64 (*.f64 x x) (pow.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) #s(literal -1 binary64))) |
(*.f64 x (/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))) |
(pow.f64 (*.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) |
(/.f64 (/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) (pow.f64 x #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) (pow.f64 x #s(literal -2 binary64)))) |
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) |
(/.f64 x (/.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) (pow.f64 x #s(literal -2 binary64))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))))) |
(neg.f64 (*.f64 (neg.f64 x) (/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))) (*.f64 (neg.f64 x) (/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) (pow.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))) |
(*.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) |
#s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) |
(/.f64 (neg.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) #s(literal -1 binary64)) |
(/.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))) |
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)))) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (/.f64 x (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 23/2160 binary64) (*.f64 x x))))) |
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (neg.f64 x)) (pow.f64 (fma.f64 #s(literal 23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))) (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (/.f64 x (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 23/2160 binary64) (*.f64 x x)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -23/2160 binary64) (*.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (fma.f64 #s(literal 23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 23/2160 binary64) (*.f64 x x)))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 x (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -23/2160 binary64) (*.f64 x x)))) #s(literal -1 binary64))) |
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(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 148035889/2176782336000000 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 279841/16796160000 binary64) (-.f64 #s(literal 1/1296 binary64) (*.f64 #s(literal -529/4665600 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1/46656 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 279841/16796160000 binary64) (-.f64 #s(literal 1/1296 binary64) (*.f64 #s(literal -529/4665600 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 279841/16796160000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal 1/36 binary64))) (/.f64 #s(literal -1/1296 binary64) (fma.f64 #s(literal -529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) |
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64)) |
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 279841/16796160000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal 1/36 binary64))) (neg.f64 (/.f64 #s(literal -1/1296 binary64) (fma.f64 #s(literal -529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)) |
(+.f64 #s(literal -1/36 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64))) |
(*.f64 (*.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))) (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))) (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -23/2160 binary64) (*.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)))) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 23/2160 binary64) (*.f64 x x))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (pow.f64 (fma.f64 #s(literal 23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 (/.f64 x (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 23/2160 binary64) (*.f64 x x)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 23/2160 binary64) (*.f64 x x))))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)) x) |
(*.f64 (neg.f64 x) (pow.f64 (fma.f64 #s(literal 23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 x (fma.f64 #s(literal 23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 x (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) #s(literal -1 binary64)) |
(/.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))) (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (neg.f64 x) (fma.f64 #s(literal 23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)) |
(/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal 23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))) |
(neg.f64 (/.f64 x (fma.f64 #s(literal 23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
(fma.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))) (*.f64 #s(literal -23/360 binary64) (*.f64 x x)) (*.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))) #s(literal 1/6 binary64))) |
(fma.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))) #s(literal 1/6 binary64) (*.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))) (*.f64 #s(literal -23/360 binary64) (*.f64 x x)))) |
(fma.f64 (/.f64 x (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 23/2160 binary64) (*.f64 x x))) (*.f64 (/.f64 x (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)))) |
(fma.f64 (/.f64 x (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) (*.f64 (/.f64 x (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 23/2160 binary64) (*.f64 x x))))) |
(fma.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 23/2160 binary64) (*.f64 x x))) (/.f64 x (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) (/.f64 x (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) (/.f64 x (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 23/2160 binary64) (*.f64 x x))) (/.f64 x (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))))) |
(fma.f64 (*.f64 #s(literal -23/360 binary64) (*.f64 x x)) (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))))) |
(fma.f64 #s(literal 1/6 binary64) (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))) (*.f64 (*.f64 #s(literal -23/360 binary64) (*.f64 x x)) (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal 23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 x (fma.f64 #s(literal 23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 #s(literal 23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 #s(literal -23/360 binary64) (*.f64 x x)) (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)))) (*.f64 (*.f64 #s(literal -23/360 binary64) (*.f64 x x)) (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))))) |
(+.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 23/2160 binary64) (*.f64 x x))) (/.f64 x (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)))) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) (/.f64 x (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))))) |
(+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) (/.f64 x (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)))) (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 23/2160 binary64) (*.f64 x x))) (/.f64 x (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))))) |
(+.f64 (*.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))) (*.f64 #s(literal -23/360 binary64) (*.f64 x x))) (*.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))) #s(literal 1/6 binary64))) |
(+.f64 (*.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))) #s(literal 1/6 binary64)) (*.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))) (*.f64 #s(literal -23/360 binary64) (*.f64 x x)))) |
(+.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 23/2160 binary64) (*.f64 x x)))) (*.f64 (/.f64 x (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)))) |
(+.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64))) (*.f64 (/.f64 x (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 23/2160 binary64) (*.f64 x x))))) |
Compiled 19 811 to 2 420 computations (87.8% saved)
13 alts after pruning (6 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 664 | 6 | 670 |
| Fresh | 4 | 0 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 671 | 13 | 684 |
| Status | Accuracy | Program |
|---|---|---|
| 99.4% | #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (/.f64 x (pow.f64 x #s(literal -1 binary64))) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))) | |
| ✓ | 99.7% | #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))))) |
| ✓ | 99.5% | #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))) |
| 99.4% | #s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) x))) | |
| 99.1% | #s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))) | |
| 99.0% | #s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) (pow.f64 x #s(literal -2 binary64))))) | |
| 99.4% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x)) | |
| ✓ | 99.7% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| ✓ | 99.7% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| ✓ | 99.6% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| ✓ | 99.4% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
| 99.6% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) | |
| ✓ | 99.3% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
Compiled 992 to 404 computations (59.3% saved)
| Inputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) x))) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 #s(approx (* (+ (* (pow x 4) 529/129600) -1/36) x) (*.f64 #s(literal -1/36 binary64) x)) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) (pow.f64 x #s(literal -2 binary64))))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 #s(approx (- (/ 1/6 (* x x)) 23/360) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (/.f64 x (pow.f64 x #s(literal -1 binary64))) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)) (tan.f64 x)) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (pow.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))) |
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x)) |
(/.f64 #s(approx (- x (sin x)) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (tan.f64 x)) |
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (*.f64 x x)) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64))))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))) x) x)) |
| Outputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
2 calls:
| 58.0ms | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) x))) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 #s(approx (* (+ (* (pow x 4) 529/129600) -1/36) x) (*.f64 #s(literal -1/36 binary64) x)) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))) |
| Outputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))) |
2 calls:
| 4.0ms | x |
| 3.0ms | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| 99.7% | 1 | x |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) x))) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 #s(approx (* (+ (* (pow x 4) 529/129600) -1/36) x) (*.f64 #s(literal -1/36 binary64) x)) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x)) |
| Outputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))))) |
2 calls:
| 3.0ms | x |
| 2.0ms | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) x))) |
| Outputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
2 calls:
| 2.0ms | x |
| 2.0ms | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))) |
| Outputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))) |
2 calls:
| 2.0ms | x |
| 1.0ms | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| 99.5% | 1 | x |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x)) |
| Outputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x)) |
2 calls:
| 2.0ms | x |
| 1.0ms | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | x |
| 99.4% | 1 | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
| Outputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | x |
| 99.4% | 1 | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
Compiled 8 to 6 computations (25% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
| Outputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
2 calls:
| 1.0ms | x |
| 1.0ms | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| 99.3% | 1 | x |
Compiled 8 to 6 computations (25% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 186 |
| 1 | 77 | 186 |
| 2 | 108 | 186 |
| 3 | 213 | 186 |
| 4 | 466 | 186 |
| 5 | 847 | 186 |
| 6 | 1486 | 186 |
| 7 | 4475 | 186 |
| 8 | 7898 | 186 |
| 1× | node limit |
| Inputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
| Outputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 263 |
| 0 | 65 | 253 |
| 1 | 222 | 237 |
| 2 | 1278 | 237 |
| 0 | 8596 | 237 |
| 0 | 33 | 246 |
| 0 | 57 | 246 |
| 1 | 207 | 246 |
| 2 | 1326 | 246 |
| 0 | 8370 | 246 |
| 0 | 166 | 713 |
| 1 | 513 | 703 |
| 2 | 1678 | 693 |
| 3 | 5199 | 677 |
| 0 | 8110 | 641 |
| 0 | 105 | 261 |
| 1 | 301 | 245 |
| 2 | 829 | 245 |
| 3 | 2502 | 233 |
| 4 | 5488 | 231 |
| 0 | 8644 | 207 |
| 0 | 214 | 747 |
| 1 | 563 | 745 |
| 2 | 1612 | 732 |
| 3 | 4168 | 722 |
| 0 | 8651 | 682 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node 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 375 to 191 computations (49.1% saved)
(abs x)
Compiled 508 to 196 computations (61.4% saved)
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