
Time bar (total: 17.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 6 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 7 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 8 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 9 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 10 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 11 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 12 |
Compiled 17 to 12 computations (29.4% saved)
| 6.8s | 4 473× | 2 | valid |
| 1.5s | 1 156× | 3 | valid |
| 807.0ms | 2 476× | 1 | valid |
| 14.0ms | 151× | 0 | valid |
ival-tan: 4.6s (53.8% of total)ival-sin: 2.7s (31.9% of total)adjust: 458.0ms (5.3% of total)const: 266.0ms (3.1% of total)ival-sub: 264.0ms (3.1% of total)ival-div: 177.0ms (2.1% of total)ival-<=: 53.0ms (0.6% of total)ival-and: 12.0ms (0.1% of total)ival-assert: 3.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 166 | 0 | - | 2 | (2.5468095959921704e-105) | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 92 | 0 | - | 0 | - | (-.f64 eps (tan.f64 eps)) |
| 92 | 0 | - | 0 | - | (-.f64 eps (sin.f64 eps)) |
| 0 | 0 | - | 0 | - | (tan.f64 eps) |
| 0 | 0 | - | 0 | - | eps |
| 0 | 0 | - | 0 | - | (sin.f64 eps) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) | u/u | 164 | 0 |
| ↳ | (-.f64 eps (sin.f64 eps)) | underflow | 164 | |
| ↳ | (-.f64 eps (tan.f64 eps)) | underflow | 164 | |
-.f64 | (-.f64 eps (sin.f64 eps)) | cancellation | 92 | 0 |
-.f64 | (-.f64 eps (tan.f64 eps)) | cancellation | 92 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 256 | 0 |
| - | 0 | 0 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 256 | 0 | 0 |
| - | 0 | 0 | 0 |
| number | freq |
|---|---|
| 1 | 164 |
| 2 | 92 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 407.0ms | 282× | 2 | valid |
| 50.0ms | 60× | 3 | valid |
| 29.0ms | 162× | 1 | valid |
| 1.0ms | 8× | 0 | valid |
Compiled 57 to 22 computations (61.4% saved)
ival-tan: 277.0ms (64.6% of total)ival-sin: 115.0ms (26.8% of total)adjust: 16.0ms (3.7% of total)ival-sub: 14.0ms (3.3% of total)ival-div: 6.0ms (1.4% 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 | 8 | 27 |
| 1 | 29 | 23 |
| 2 | 78 | 18 |
| 3 | 239 | 18 |
| 4 | 501 | 18 |
| 5 | 688 | 18 |
| 6 | 705 | 18 |
| 7 | 743 | 18 |
| 8 | 772 | 18 |
| 0 | 6 | 9 |
| 0 | 11 | 9 |
| 1 | 18 | 9 |
| 2 | 28 | 9 |
| 3 | 45 | 9 |
| 4 | 79 | 9 |
| 5 | 151 | 9 |
| 6 | 326 | 9 |
| 7 | 624 | 9 |
| 8 | 928 | 9 |
| 9 | 943 | 9 |
| 10 | 944 | 9 |
| 0 | 944 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| Outputs |
|---|
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
(/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (tan.f64 eps) eps)) |
(abs eps)
Compiled 9 to 6 computations (33.3% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 2.0% | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
Compiled 9 to 6 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 eps (tan.f64 eps)) | |
| cost-diff | 0 | (sin.f64 eps) | |
| cost-diff | 0 | (-.f64 eps (sin.f64 eps)) | |
| cost-diff | 0 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 22 |
| 0 | 11 | 22 |
| 1 | 18 | 22 |
| 2 | 28 | 22 |
| 3 | 45 | 22 |
| 4 | 79 | 22 |
| 5 | 151 | 22 |
| 6 | 326 | 22 |
| 7 | 624 | 22 |
| 8 | 928 | 22 |
| 9 | 943 | 22 |
| 10 | 944 | 22 |
| 0 | 944 | 22 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
(-.f64 eps (sin.f64 eps)) |
eps |
(sin.f64 eps) |
(-.f64 eps (tan.f64 eps)) |
(tan.f64 eps) |
| Outputs |
|---|
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
(/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (tan.f64 eps) eps)) |
(-.f64 eps (sin.f64 eps)) |
eps |
(sin.f64 eps) |
(-.f64 eps (tan.f64 eps)) |
(tan.f64 eps) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sin.f64 eps) | |
| accuracy | 20.41686390625262 | (-.f64 eps (sin.f64 eps)) | |
| accuracy | 20.425570636155506 | (-.f64 eps (tan.f64 eps)) | |
| accuracy | 40.86264535541384 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 240.0ms | 141× | 2 | valid |
| 27.0ms | 30× | 3 | valid |
| 13.0ms | 81× | 1 | valid |
| 0.0ms | 4× | 0 | valid |
Compiled 24 to 8 computations (66.7% saved)
ival-tan: 170.0ms (63.4% of total)ival-sin: 81.0ms (30.2% of total)adjust: 8.0ms (3% of total)ival-sub: 7.0ms (2.6% of total)ival-div: 3.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ()) |
#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ()) |
#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ()) |
#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt -1/2 (taylor 0 eps) (#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 9/40 (pow eps 2)) 1/2) (taylor 0 eps) (#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) (taylor 0 eps) (#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) (taylor 0 eps) (#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow eps 3)) (taylor 0 eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))) (taylor 0 eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) (taylor 0 eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) (taylor 0 eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ()) |
#s(alt eps (taylor 0 eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ 1 (* -1/6 (pow eps 2)))) (taylor 0 eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))) (taylor 0 eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (taylor 0 eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (pow eps 3)) (taylor 0 eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) (taylor 0 eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) (taylor 0 eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) (taylor 0 eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf eps) (#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))) (taylor inf eps) (#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps))))) (taylor inf eps) (#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) (taylor inf eps) (#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ()) |
#s(alt eps (taylor inf eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ 1 (* -1 (/ (sin eps) eps)))) (taylor inf eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ 1 (* -1 (/ (sin eps) eps)))) (taylor inf eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ 1 (* -1 (/ (sin eps) eps)))) (taylor inf eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ()) |
#s(alt (sin eps) (taylor inf eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ()) |
#s(alt (sin eps) (taylor inf eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ()) |
#s(alt (sin eps) (taylor inf eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ()) |
#s(alt (sin eps) (taylor inf eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ()) |
#s(alt eps (taylor inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) (taylor inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) (taylor inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) (taylor inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf eps) (#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) (taylor -inf eps) (#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))) (taylor -inf eps) (#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps))) (taylor -inf eps) (#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ()) |
#s(alt eps (taylor -inf eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (- (/ (sin eps) eps) 1))) (taylor -inf eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (- (/ (sin eps) eps) 1))) (taylor -inf eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (- (/ (sin eps) eps) 1))) (taylor -inf eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ()) |
#s(alt (sin eps) (taylor -inf eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ()) |
#s(alt (sin eps) (taylor -inf eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ()) |
#s(alt (sin eps) (taylor -inf eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ()) |
#s(alt (sin eps) (taylor -inf eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ()) |
#s(alt eps (taylor -inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) (taylor -inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) (taylor -inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) (taylor -inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | inf | ((/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (sin eps) (- eps (tan eps))) |
| 1.0ms | eps | @ | -inf | ((/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (sin eps) (- eps (tan eps))) |
| 1.0ms | eps | @ | 0 | ((/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (sin eps) (- eps (tan eps))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 561 |
| 1 | 422 | 524 |
| 2 | 1321 | 499 |
| 3 | 5649 | 444 |
| 0 | 8475 | 418 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1/2 |
(- (* 9/40 (pow eps 2)) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(* 1/6 (pow eps 3)) |
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) |
eps |
(* eps (+ 1 (* -1/6 (pow eps 2)))) |
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))) |
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) |
(* -1/3 (pow eps 3)) |
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) |
1 |
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) |
eps |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(sin eps) |
(sin eps) |
(sin eps) |
(sin eps) |
eps |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
1 |
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps))) |
eps |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(sin eps) |
(sin eps) |
(sin eps) |
(sin eps) |
eps |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
| Outputs |
|---|
-1/2 |
#s(literal -1/2 binary64) |
(- (* 9/40 (pow eps 2)) 1/2) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(* 1/6 (pow eps 3)) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))) |
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
eps |
(* eps (+ 1 (* -1/6 (pow eps 2)))) |
(fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64)) eps) |
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 eps eps) #s(literal -1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)) eps) |
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 eps eps) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal -1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)) eps) |
(* -1/3 (pow eps 3)) |
(*.f64 #s(literal -1/3 binary64) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) |
(*.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 eps eps) #s(literal -2/15 binary64)) (*.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -62/2835 binary64) (*.f64 eps eps) #s(literal -17/315 binary64)) (*.f64 eps eps) #s(literal -2/15 binary64)) (*.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (*.f64 eps eps)) (/.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) |
(-.f64 (+.f64 (/.f64 (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (fma.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps) eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps))) (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64))) |
eps |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(-.f64 eps (sin.f64 eps)) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(-.f64 eps (sin.f64 eps)) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(-.f64 eps (sin.f64 eps)) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
eps |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) |
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) eps) #s(literal -1 binary64)) (sin.f64 eps)) eps)) |
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (sin.f64 eps) (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (fma.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)) |
eps |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(-.f64 eps (sin.f64 eps)) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(-.f64 eps (sin.f64 eps)) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(-.f64 eps (sin.f64 eps)) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
eps |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 19 |
| 0 | 11 | 19 |
| 1 | 51 | 19 |
| 2 | 408 | 19 |
| 3 | 5947 | 19 |
| 0 | 8258 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
(-.f64 eps (sin.f64 eps)) |
(sin.f64 eps) |
(-.f64 eps (tan.f64 eps)) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (fma.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) eps) (*.f64 eps eps))) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (-.f64 eps (sin.f64 eps))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 eps (tan.f64 eps))) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)))) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 eps (tan.f64 eps))) (+.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) (-.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) (*.f64 eps eps)) (pow.f64 eps #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (*.f64 (+.f64 (tan.f64 eps) eps) (-.f64 (tan.f64 eps) eps))) (neg.f64 (+.f64 (tan.f64 eps) eps))) |
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (neg.f64 (+.f64 (tan.f64 eps) eps))) |
(*.f64 (/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (+.f64 (tan.f64 eps) eps)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (sin.f64 eps) eps)) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) #s(literal 1 binary64)) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps))) (/.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (sin.f64 eps) eps))) |
(*.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (-.f64 eps (tan.f64 eps))) (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) |
(*.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal -1 binary64)) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (/.f64 (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 (tan.f64 eps) eps)) |
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) |
(*.f64 (pow.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (tan.f64 eps) eps) (-.f64 eps (sin.f64 eps)))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (-.f64 eps (sin.f64 eps)))) |
(*.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 eps (tan.f64 eps))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) #s(literal -2 binary64))) (pow.f64 (*.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (+.f64 (sin.f64 eps) eps)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (-.f64 (sin.f64 eps) eps)) |
(*.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (-.f64 eps (sin.f64 eps))) |
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(-.f64 (/.f64 eps #s(literal 1 binary64)) (/.f64 (tan.f64 eps) #s(literal 1 binary64))) |
(-.f64 (*.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps))) |
(-.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))) |
(-.f64 #s(literal 0 binary64) (-.f64 (tan.f64 eps) eps)) |
(-.f64 eps (tan.f64 eps)) |
(+.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (tan.f64 eps))) |
(+.f64 (*.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))) |
(+.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))) |
(+.f64 (neg.f64 (tan.f64 eps)) eps) |
(+.f64 eps (neg.f64 (tan.f64 eps))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 eps (tan.f64 eps))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
Compiled 11 528 to 1 222 computations (89.4% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 455 | 7 | 462 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 456 | 7 | 463 |
| Status | Accuracy | Program |
|---|---|---|
| 2.3% | (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)))) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps))) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))))) (-.f64 eps (tan.f64 eps))) | |
| ▶ | 2.0% | (/.f64 (fma.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps)))) (-.f64 eps (tan.f64 eps))) |
| 1.6% | (/.f64 (-.f64 (-.f64 eps (tan.f64 eps)) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps))) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (-.f64 eps (tan.f64 eps)))) | |
| ▶ | 100.0% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| ▶ | 99.8% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| ▶ | 99.5% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
| ▶ | 98.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
Compiled 274 to 140 computations (48.9% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 (sin.f64 eps) eps) | |
| cost-diff | 0 | (/.f64 eps (+.f64 (sin.f64 eps) eps)) | |
| cost-diff | 0 | (/.f64 (fma.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps)))) (-.f64 eps (tan.f64 eps))) | |
| cost-diff | 6976 | (fma.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps)))) | |
| cost-diff | 0 | (*.f64 eps eps) | |
| cost-diff | 0 | (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | (*.f64 eps eps) | |
| cost-diff | 0 | (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 236 |
| 0 | 56 | 236 |
| 1 | 101 | 236 |
| 2 | 167 | 236 |
| 3 | 353 | 236 |
| 4 | 687 | 236 |
| 5 | 1297 | 236 |
| 6 | 2965 | 230 |
| 7 | 5746 | 230 |
| 8 | 7299 | 230 |
| 9 | 7956 | 230 |
| 0 | 8016 | 230 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) |
#s(literal 27/112000 binary64) |
(*.f64 eps eps) |
eps |
#s(literal -27/2800 binary64) |
#s(literal 9/40 binary64) |
#s(literal -1/2 binary64) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(*.f64 eps eps) |
eps |
#s(literal 9/40 binary64) |
#s(literal -1/2 binary64) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) |
#s(literal -27/2800 binary64) |
(*.f64 eps eps) |
eps |
#s(literal 9/40 binary64) |
#s(literal -1/2 binary64) |
(/.f64 (fma.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps)))) (-.f64 eps (tan.f64 eps))) |
(fma.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps)))) |
eps |
(/.f64 eps (+.f64 (sin.f64 eps) eps)) |
(+.f64 (sin.f64 eps) eps) |
(sin.f64 eps) |
(neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps))) |
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps)) |
(pow.f64 (sin.f64 eps) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 eps (tan.f64 eps)) |
(tan.f64 eps) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) |
(fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) |
#s(literal 27/112000 binary64) |
(*.f64 eps eps) |
eps |
#s(literal -27/2800 binary64) |
#s(literal 9/40 binary64) |
#s(literal -1/2 binary64) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(*.f64 eps eps) |
eps |
#s(literal 9/40 binary64) |
#s(literal -1/2 binary64) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) |
#s(literal -27/2800 binary64) |
(*.f64 eps eps) |
eps |
#s(literal 9/40 binary64) |
#s(literal -1/2 binary64) |
(/.f64 (fma.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps)))) (-.f64 eps (tan.f64 eps))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 eps) eps)) (fma.f64 (neg.f64 eps) eps (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (-.f64 (tan.f64 eps) eps)) |
(fma.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sin.f64 eps) eps)) (fma.f64 (neg.f64 eps) eps (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) |
eps |
(/.f64 eps (+.f64 (sin.f64 eps) eps)) |
(+.f64 (sin.f64 eps) eps) |
(sin.f64 eps) |
(neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps)) |
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps)) |
(pow.f64 (sin.f64 eps) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 eps (tan.f64 eps)) |
(tan.f64 eps) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 20.425570636155506 | (-.f64 eps (tan.f64 eps)) | |
| accuracy | 20.441504627687483 | (fma.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps)))) | |
| accuracy | 29.948518002587146 | (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps)) | |
| accuracy | 40.86264535541384 | (/.f64 (fma.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps)))) (-.f64 eps (tan.f64 eps))) | |
| accuracy | 0 | (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) | |
| accuracy | 0 | (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) | |
| accuracy | 0 | (*.f64 eps eps) | |
| accuracy | 0.11647601520917741 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) | |
| accuracy | 0 | (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) | |
| accuracy | 0 | (*.f64 eps eps) | |
| accuracy | 0.3213564093443373 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) | |
| accuracy | 0.6899682043127863 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) | |
| accuracy | 0 | (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) | |
| accuracy | 0 | (*.f64 eps eps) | |
| accuracy | 0.015625 | (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) | |
| accuracy | 0.026788988262217078 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| 282.0ms | 141× | 2 | valid |
| 73.0ms | 81× | 1 | valid |
| 43.0ms | 30× | 3 | valid |
| 1.0ms | 4× | 0 | valid |
Compiled 212 to 34 computations (84% saved)
ival-tan: 127.0ms (37.3% of total)ival-sin: 66.0ms (19.4% of total)const: 33.0ms (9.7% of total)adjust: 29.0ms (8.5% of total)ival-div: 28.0ms (8.2% of total)ival-mult: 21.0ms (6.2% of total)ival-add: 18.0ms (5.3% of total)ival-pow2: 7.0ms (2.1% of total)ival-sub: 7.0ms (2.1% of total)ival-neg: 3.0ms (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(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (patch (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (patch (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (patch (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps)))) (patch (fma.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps)))) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (fma.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps)))) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ()) |
#s(alt (/.f64 eps (+.f64 (sin.f64 eps) eps)) (patch (/.f64 eps (+.f64 (sin.f64 eps) eps)) #<representation binary64>) () ()) |
#s(alt (+.f64 (sin.f64 eps) eps) (patch (+.f64 (sin.f64 eps) eps) #<representation binary64>) () ()) |
#s(alt (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps)) (patch (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps)) #<representation binary64>) () ()) |
#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt -1/2 (taylor 0 eps) (#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 9/40 (pow eps 2)) 1/2) (taylor 0 eps) (#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) (taylor 0 eps) (#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) (taylor 0 eps) (#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -1/2 (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 9/40 (pow eps 2)) 1/2) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 9/40 (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (patch (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 9/40 (* -27/2800 (pow eps 2))) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (patch (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (patch (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (patch (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -27/2800 (taylor 0 eps) (#s(alt (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (patch (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 27/112000 (pow eps 2)) 27/2800) (taylor 0 eps) (#s(alt (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (patch (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 27/112000 (pow eps 2)) 27/2800) (taylor 0 eps) (#s(alt (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (patch (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 27/112000 (pow eps 2)) 27/2800) (taylor 0 eps) (#s(alt (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (patch (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -1/2 (taylor 0 eps) (#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 9/40 (pow eps 2)) 1/2) (taylor 0 eps) (#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) (taylor 0 eps) (#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) (taylor 0 eps) (#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -1/2 (taylor 0 eps) (#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 9/40 (pow eps 2)) 1/2) (taylor 0 eps) (#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) (taylor 0 eps) (#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) (taylor 0 eps) (#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -1/2 (taylor 0 eps) (#s(alt (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 9/40 (pow eps 2)) 1/2) (taylor 0 eps) (#s(alt (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 9/40 (pow eps 2)) 1/2) (taylor 0 eps) (#s(alt (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 9/40 (pow eps 2)) 1/2) (taylor 0 eps) (#s(alt (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 2) (taylor 0 eps) (#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 2) (taylor 0 eps) (#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 2) (taylor 0 eps) (#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 2) (taylor 0 eps) (#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())) ()) |
#s(alt -1/2 (taylor 0 eps) (#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 9/40 (pow eps 2)) 1/2) (taylor 0 eps) (#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) (taylor 0 eps) (#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) (taylor 0 eps) (#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -1/2 (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 9/40 (pow eps 2)) 1/2) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 9/40 (taylor 0 eps) (#s(alt (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (patch (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 9/40 (* -27/2800 (pow eps 2))) (taylor 0 eps) (#s(alt (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (patch (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) #<representation binary64>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | eps | @ | 0 | ((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (+ (* 27/112000 (* eps eps)) -27/2800) (/ (- eps (sin eps)) (- eps (tan eps))) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) -1/2) (* eps eps) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* -27/2800 (* eps eps)) 9/40) (+ (* eps (/ eps (+ (sin eps) eps))) (neg (/ (pow (sin eps) 2) (+ (sin eps) eps)))) (/ (+ (* eps (/ eps (+ (sin eps) eps))) (neg (/ (pow (sin eps) 2) (+ (sin eps) eps)))) (- eps (tan eps))) (/ eps (+ (sin eps) eps)) (+ (sin eps) eps) (/ (pow (sin eps) 2) (+ (sin eps) eps)) (- eps (tan eps))) |
| 4.0ms | eps | @ | inf | ((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (+ (* 27/112000 (* eps eps)) -27/2800) (/ (- eps (sin eps)) (- eps (tan eps))) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) -1/2) (* eps eps) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* -27/2800 (* eps eps)) 9/40) (+ (* eps (/ eps (+ (sin eps) eps))) (neg (/ (pow (sin eps) 2) (+ (sin eps) eps)))) (/ (+ (* eps (/ eps (+ (sin eps) eps))) (neg (/ (pow (sin eps) 2) (+ (sin eps) eps)))) (- eps (tan eps))) (/ eps (+ (sin eps) eps)) (+ (sin eps) eps) (/ (pow (sin eps) 2) (+ (sin eps) eps)) (- eps (tan eps))) |
| 4.0ms | eps | @ | -inf | ((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (+ (* 27/112000 (* eps eps)) -27/2800) (/ (- eps (sin eps)) (- eps (tan eps))) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) -1/2) (* eps eps) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* -27/2800 (* eps eps)) 9/40) (+ (* eps (/ eps (+ (sin eps) eps))) (neg (/ (pow (sin eps) 2) (+ (sin eps) eps)))) (/ (+ (* eps (/ eps (+ (sin eps) eps))) (neg (/ (pow (sin eps) 2) (+ (sin eps) eps)))) (- eps (tan eps))) (/ eps (+ (sin eps) eps)) (+ (sin eps) eps) (/ (pow (sin eps) 2) (+ (sin eps) eps)) (- eps (tan eps))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 333 | 2795 |
| 1 | 1001 | 2596 |
| 2 | 3108 | 2359 |
| 0 | 8196 | 2260 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1/2 |
(- (* 9/40 (pow eps 2)) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
-1/2 |
(- (* 9/40 (pow eps 2)) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
9/40 |
(+ 9/40 (* -27/2800 (pow eps 2))) |
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))) |
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))) |
-27/2800 |
(- (* 27/112000 (pow eps 2)) 27/2800) |
(- (* 27/112000 (pow eps 2)) 27/2800) |
(- (* 27/112000 (pow eps 2)) 27/2800) |
-1/2 |
(- (* 9/40 (pow eps 2)) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
-1/2 |
(- (* 9/40 (pow eps 2)) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
-1/2 |
(- (* 9/40 (pow eps 2)) 1/2) |
(- (* 9/40 (pow eps 2)) 1/2) |
(- (* 9/40 (pow eps 2)) 1/2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
-1/2 |
(- (* 9/40 (pow eps 2)) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
-1/2 |
(- (* 9/40 (pow eps 2)) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
9/40 |
(+ 9/40 (* -27/2800 (pow eps 2))) |
(+ 9/40 (* -27/2800 (pow eps 2))) |
(+ 9/40 (* -27/2800 (pow eps 2))) |
(* 1/6 (pow eps 3)) |
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) |
-1/2 |
(- (* 9/40 (pow eps 2)) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
1/2 |
(+ 1/2 (* 1/24 (pow eps 2))) |
(+ 1/2 (* (pow eps 2) (+ 1/24 (* 1/720 (pow eps 2))))) |
(+ 1/2 (* (pow eps 2) (+ 1/24 (* (pow eps 2) (+ 1/720 (* -1/120960 (pow eps 2))))))) |
(* 2 eps) |
(* eps (+ 2 (* -1/6 (pow eps 2)))) |
(* eps (+ 2 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))) |
(* eps (+ 2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) |
(* 1/2 eps) |
(* eps (+ 1/2 (* -1/8 (pow eps 2)))) |
(* eps (+ 1/2 (* (pow eps 2) (- (* 7/720 (pow eps 2)) 1/8)))) |
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 7/720 (* -5/24192 (pow eps 2)))) 1/8)))) |
(* -1/3 (pow eps 3)) |
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) |
1 |
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) |
(* 27/112000 (pow eps 6)) |
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))) |
(* 27/112000 (pow eps 4)) |
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(* 27/112000 (pow eps 2)) |
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
1 |
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) |
1 |
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) |
(* 9/40 (pow eps 2)) |
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) |
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) |
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
1 |
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) |
(* -27/2800 (pow eps 4)) |
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4))))) |
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4))))) |
(* -27/2800 (pow eps 2)) |
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
eps |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(* eps (- (+ 1 (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2)))) (/ (sin eps) eps))) |
(* eps (- (+ 1 (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2)))) (/ (sin eps) eps))) |
1 |
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2))) (/ (* (sin eps) (- (* -1 (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps))))) (* (pow eps 3) (cos eps)))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) |
1 |
(+ 1 (* -1 (/ (sin eps) eps))) |
(- (+ 1 (/ (pow (sin eps) 2) (pow eps 2))) (/ (sin eps) eps)) |
(- (+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3)))) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (/ (sin eps) eps))) |
eps |
(* eps (+ 1 (/ (sin eps) eps))) |
(* eps (+ 1 (/ (sin eps) eps))) |
(* eps (+ 1 (/ (sin eps) eps))) |
(/ (pow (sin eps) 2) eps) |
(/ (+ (* -1 (/ (pow (sin eps) 3) eps)) (pow (sin eps) 2)) eps) |
(/ (- (+ (/ (pow (sin eps) 4) (pow eps 2)) (pow (sin eps) 2)) (/ (pow (sin eps) 3) eps)) eps) |
(/ (- (+ (* -1 (/ (pow (sin eps) 5) (pow eps 3))) (pow (sin eps) 2)) (+ (* -1 (/ (pow (sin eps) 4) (pow eps 2))) (/ (pow (sin eps) 3) eps))) eps) |
eps |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
1 |
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps))) |
(* 27/112000 (pow eps 6)) |
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))) |
(* 27/112000 (pow eps 4)) |
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(* 27/112000 (pow eps 2)) |
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
1 |
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps))) |
1 |
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps))) |
(* 9/40 (pow eps 2)) |
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) |
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) |
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
1 |
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps))) |
(* -27/2800 (pow eps 4)) |
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4))))) |
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4))))) |
(* -27/2800 (pow eps 2)) |
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
eps |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) eps)) (/ (pow (sin eps) 2) eps)) (sin eps)) eps)) 1))) |
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) eps)) (/ (pow (sin eps) 2) eps)) (sin eps)) eps)) 1))) |
1 |
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) eps))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps)))) eps))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1 (- (* -1 (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (* eps (cos eps))))) eps))) eps))) |
1 |
(+ 1 (* -1 (/ (sin eps) eps))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) eps)) (* -1 (sin eps))) eps))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) eps)) (* -1 (pow (sin eps) 2))) eps)) (* -1 (sin eps))) eps))) |
eps |
(* -1 (* eps (- (* -1 (/ (sin eps) eps)) 1))) |
(* -1 (* eps (- (* -1 (/ (sin eps) eps)) 1))) |
(* -1 (* eps (- (* -1 (/ (sin eps) eps)) 1))) |
(/ (pow (sin eps) 2) eps) |
(* -1 (/ (+ (* -1 (pow (sin eps) 2)) (/ (pow (sin eps) 3) eps)) eps)) |
(* -1 (/ (+ (* -1 (/ (- (/ (pow (sin eps) 4) eps) (pow (sin eps) 3)) eps)) (* -1 (pow (sin eps) 2))) eps)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 5) eps) (pow (sin eps) 4)) eps)) (pow (sin eps) 3)) eps)) (* -1 (pow (sin eps) 2))) eps)) |
eps |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
| Outputs |
|---|
-1/2 |
#s(literal -1/2 binary64) |
(- (* 9/40 (pow eps 2)) 1/2) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 9/40 (pow eps 2)) 1/2) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
9/40 |
#s(literal 9/40 binary64) |
(+ 9/40 (* -27/2800 (pow eps 2))) |
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))) |
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))) |
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
-27/2800 |
#s(literal -27/2800 binary64) |
(- (* 27/112000 (pow eps 2)) 27/2800) |
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) |
(- (* 27/112000 (pow eps 2)) 27/2800) |
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) |
(- (* 27/112000 (pow eps 2)) 27/2800) |
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 9/40 (pow eps 2)) 1/2) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 9/40 (pow eps 2)) 1/2) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 9/40 (pow eps 2)) 1/2) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(- (* 9/40 (pow eps 2)) 1/2) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(- (* 9/40 (pow eps 2)) 1/2) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(pow eps 2) |
(*.f64 eps eps) |
(pow eps 2) |
(*.f64 eps eps) |
(pow eps 2) |
(*.f64 eps eps) |
(pow eps 2) |
(*.f64 eps eps) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 9/40 (pow eps 2)) 1/2) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 9/40 (pow eps 2)) 1/2) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
9/40 |
#s(literal 9/40 binary64) |
(+ 9/40 (* -27/2800 (pow eps 2))) |
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(+ 9/40 (* -27/2800 (pow eps 2))) |
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(+ 9/40 (* -27/2800 (pow eps 2))) |
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(* 1/6 (pow eps 3)) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))) |
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 9/40 (pow eps 2)) 1/2) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/24 (pow eps 2))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow eps 2) (+ 1/24 (* 1/720 (pow eps 2))))) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow eps 2) (+ 1/24 (* (pow eps 2) (+ 1/720 (* -1/120960 (pow eps 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/120960 binary64) (*.f64 eps eps) #s(literal 1/720 binary64)) (*.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) |
(* 2 eps) |
(*.f64 #s(literal 2 binary64) eps) |
(* eps (+ 2 (* -1/6 (pow eps 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 2 binary64)) eps) |
(* eps (+ 2 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 eps eps) #s(literal -1/6 binary64)) (*.f64 eps eps) #s(literal 2 binary64)) eps) |
(* eps (+ 2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 eps eps) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal -1/6 binary64)) (*.f64 eps eps) #s(literal 2 binary64)) eps) |
(* 1/2 eps) |
(*.f64 #s(literal 1/2 binary64) eps) |
(* eps (+ 1/2 (* -1/8 (pow eps 2)))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps) |
(* eps (+ 1/2 (* (pow eps 2) (- (* 7/720 (pow eps 2)) 1/8)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 7/720 binary64) (*.f64 eps eps) #s(literal -1/8 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps) |
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 7/720 (* -5/24192 (pow eps 2)))) 1/8)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/24192 binary64) (*.f64 eps eps) #s(literal 7/720 binary64)) (*.f64 eps eps) #s(literal -1/8 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps) |
(* -1/3 (pow eps 3)) |
(*.f64 #s(literal -1/3 binary64) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) |
(*.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 eps eps) #s(literal -2/15 binary64)) (*.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) |
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(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 27/112000 binary64)) |
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)))) |
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 27/112000 binary64)) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 27/112000 binary64)) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 4 binary64))) |
(* 27/112000 (pow eps 2)) |
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) |
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) eps) eps) |
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) eps) eps) |
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) eps) eps) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) |
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)))) eps)) |
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 eps) (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps)) eps)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) |
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)))) eps)) |
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 eps) (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps)) eps)) |
(* 9/40 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) |
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) eps) |
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) eps) |
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) eps) |
(pow eps 2) |
(*.f64 eps eps) |
(pow eps 2) |
(*.f64 eps eps) |
(pow eps 2) |
(*.f64 eps eps) |
(pow eps 2) |
(*.f64 eps eps) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) |
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)))) eps)) |
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 eps) (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps)) eps)) |
(* -27/2800 (pow eps 4)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64)) |
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(*.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 4 binary64))) |
(* -27/2800 (pow eps 2)) |
(*.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)) |
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) eps) eps) |
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) eps) eps) |
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) eps) eps) |
eps |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) |
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) eps)) (/ (pow (sin eps) 2) eps)) (sin eps)) eps)) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) |
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) eps)) (/ (pow (sin eps) 2) eps)) (sin eps)) eps)) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) eps))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps)))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)))) eps)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1 (- (* -1 (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (* eps (cos eps))))) eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (*.f64 (*.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (cos.f64 eps)) (sin.f64 eps)) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)))) eps)) eps)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (sin eps) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) eps)) (* -1 (sin eps))) eps))) |
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) eps)) (* -1 (pow (sin eps) 2))) eps)) (* -1 (sin eps))) eps))) |
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)))) |
eps |
(* -1 (* eps (- (* -1 (/ (sin eps) eps)) 1))) |
(fma.f64 (/.f64 (sin.f64 eps) eps) eps eps) |
(* -1 (* eps (- (* -1 (/ (sin eps) eps)) 1))) |
(fma.f64 (/.f64 (sin.f64 eps) eps) eps eps) |
(* -1 (* eps (- (* -1 (/ (sin eps) eps)) 1))) |
(fma.f64 (/.f64 (sin.f64 eps) eps) eps eps) |
(/ (pow (sin eps) 2) eps) |
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) |
(* -1 (/ (+ (* -1 (pow (sin eps) 2)) (/ (pow (sin eps) 3) eps)) eps)) |
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))) eps) |
(* -1 (/ (+ (* -1 (/ (- (/ (pow (sin eps) 4) eps) (pow (sin eps) 3)) eps)) (* -1 (pow (sin eps) 2))) eps)) |
(/.f64 (fma.f64 (sin.f64 eps) (sin.f64 eps) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) eps) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) eps)) eps) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 5) eps) (pow (sin eps) 4)) eps)) (pow (sin eps) 3)) eps)) (* -1 (pow (sin eps) 2))) eps)) |
(/.f64 (fma.f64 (sin.f64 eps) (sin.f64 eps) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 5 binary64)) eps) (pow.f64 (sin.f64 eps) #s(literal 4 binary64))) (neg.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) eps)) eps) |
eps |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 197 |
| 0 | 56 | 197 |
| 1 | 246 | 169 |
| 2 | 1869 | 169 |
| 0 | 9084 | 169 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(*.f64 eps eps) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(fma.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps)))) |
(/.f64 (fma.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps)))) (-.f64 eps (tan.f64 eps))) |
(/.f64 eps (+.f64 (sin.f64 eps) eps)) |
(+.f64 (sin.f64 eps) eps) |
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps)) |
(-.f64 eps (tan.f64 eps)) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/8 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) (*.f64 eps #s(literal -1/2 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64)) |
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(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (tan.f64 eps) eps) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps (neg.f64 (tan.f64 eps)))))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps))) |
(fma.f64 #s(literal -1 binary64) (tan.f64 eps) eps) |
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (neg.f64 (tan.f64 eps)))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (-.f64 eps (neg.f64 (tan.f64 eps))))) |
(-.f64 (/.f64 (*.f64 eps eps) (+.f64 (tan.f64 eps) eps)) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps))) |
(-.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)))) |
(-.f64 eps (tan.f64 eps)) |
(+.f64 (neg.f64 (tan.f64 eps)) eps) |
(+.f64 eps (neg.f64 (tan.f64 eps))) |
Compiled 32 687 to 3 383 computations (89.7% saved)
8 alts after pruning (4 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 053 | 3 | 1 056 |
| Fresh | 1 | 1 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 055 | 8 | 1 063 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 2.1% | (/.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps) (*.f64 (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) |
| ▶ | 1.9% | (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 eps) eps) eps) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps)) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) (/.f64 (+.f64 (sin.f64 eps) eps) eps))) (-.f64 eps (tan.f64 eps))) |
| ▶ | 1.6% | (/.f64 (-.f64 (-.f64 eps (tan.f64 eps)) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps))) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (-.f64 eps (tan.f64 eps)))) |
| ✓ | 100.0% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| ✓ | 99.8% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| ✓ | 99.5% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
| ▶ | 99.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))))) |
| ✓ | 98.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
Compiled 223 to 86 computations (61.4% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps) (*.f64 (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) | |
| cost-diff | 6912 | (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps) (*.f64 (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))) | |
| cost-diff | 13056 | (/.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps) (*.f64 (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 eps) eps) eps) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps)) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) (/.f64 (+.f64 (sin.f64 eps) eps) eps))) (-.f64 eps (tan.f64 eps))) | |
| cost-diff | 448 | (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) (/.f64 (+.f64 (sin.f64 eps) eps) eps)) | |
| cost-diff | 6912 | (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 eps) eps) eps) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps)) | |
| cost-diff | 13760 | (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 eps) eps) eps) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps)) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) (/.f64 (+.f64 (sin.f64 eps) eps) eps))) | |
| cost-diff | 0 | (tan.f64 eps) | |
| cost-diff | 0 | (-.f64 eps (tan.f64 eps)) | |
| cost-diff | 128 | (-.f64 (-.f64 eps (tan.f64 eps)) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps))) | |
| cost-diff | 21696 | (/.f64 (-.f64 (-.f64 eps (tan.f64 eps)) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps))) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (-.f64 eps (tan.f64 eps)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))))) | |
| cost-diff | 2560 | (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) | |
| cost-diff | 4864 | (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 744 |
| 0 | 93 | 744 |
| 1 | 200 | 669 |
| 2 | 600 | 589 |
| 3 | 2489 | 548 |
| 4 | 7001 | 548 |
| 0 | 8670 | 541 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)))) |
(-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) |
(fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) |
(*.f64 eps eps) |
eps |
#s(literal 27/112000 binary64) |
#s(literal -27/2800 binary64) |
#s(literal 9/40 binary64) |
#s(literal 2 binary64) |
(pow.f64 eps #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (-.f64 eps (tan.f64 eps)) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps))) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (-.f64 eps (tan.f64 eps)))) |
(-.f64 (-.f64 eps (tan.f64 eps)) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps))) |
(-.f64 eps (tan.f64 eps)) |
eps |
(tan.f64 eps) |
(*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps)) |
(/.f64 (-.f64 eps (tan.f64 eps)) eps) |
(sin.f64 eps) |
(*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (-.f64 eps (tan.f64 eps))) |
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 eps) eps) eps) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps)) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) (/.f64 (+.f64 (sin.f64 eps) eps) eps))) (-.f64 eps (tan.f64 eps))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 eps) eps) eps) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps)) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) (/.f64 (+.f64 (sin.f64 eps) eps) eps))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 eps) eps) eps) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps)) |
#s(literal -1 binary64) |
(/.f64 (+.f64 (sin.f64 eps) eps) eps) |
(+.f64 (sin.f64 eps) eps) |
(sin.f64 eps) |
eps |
(*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps) |
(*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) |
(pow.f64 (sin.f64 eps) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) (/.f64 (+.f64 (sin.f64 eps) eps) eps)) |
(-.f64 eps (tan.f64 eps)) |
(tan.f64 eps) |
(/.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps) (*.f64 (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps) (*.f64 (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal 2 binary64))) |
(fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps) (*.f64 (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))) |
(neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) |
(pow.f64 (sin.f64 eps) #s(literal 2 binary64)) |
(sin.f64 eps) |
eps |
#s(literal 2 binary64) |
(+.f64 (sin.f64 eps) eps) |
(*.f64 (+.f64 (sin.f64 eps) eps) (*.f64 eps eps)) |
(*.f64 eps eps) |
(pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal 2 binary64)) |
(-.f64 eps (tan.f64 eps)) |
(tan.f64 eps) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)))) |
(/.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64))) |
(pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) |
(fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) |
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) |
(*.f64 eps eps) |
eps |
#s(literal 27/112000 binary64) |
#s(literal -27/2800 binary64) |
#s(literal 9/40 binary64) |
#s(literal 2 binary64) |
(pow.f64 eps #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) |
#s(literal 1/4 binary64) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (-.f64 eps (tan.f64 eps)) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps))) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (-.f64 eps (tan.f64 eps)))) |
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
(-.f64 (-.f64 eps (tan.f64 eps)) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps))) |
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 (tan.f64 eps) eps) (-.f64 eps (tan.f64 eps))) |
(-.f64 eps (tan.f64 eps)) |
eps |
(tan.f64 eps) |
(*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps)) |
(*.f64 (/.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps))) |
(/.f64 (-.f64 eps (tan.f64 eps)) eps) |
(sin.f64 eps) |
(*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (-.f64 eps (tan.f64 eps))) |
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 eps) eps) eps) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps)) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) (/.f64 (+.f64 (sin.f64 eps) eps) eps))) (-.f64 eps (tan.f64 eps))) |
(/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps) #s(literal 1 binary64)) eps #s(literal -1 binary64)) (-.f64 eps (tan.f64 eps))) (+.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 eps) eps) eps) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps)) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) (/.f64 (+.f64 (sin.f64 eps) eps) eps))) |
(/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps) #s(literal 1 binary64)) eps #s(literal -1 binary64)) (+.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 eps) eps) eps) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps)) |
(*.f64 (+.f64 (sin.f64 eps) eps) (fma.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps (/.f64 #s(literal -1 binary64) eps))) |
#s(literal -1 binary64) |
(/.f64 (+.f64 (sin.f64 eps) eps) eps) |
(+.f64 (sin.f64 eps) eps) |
(sin.f64 eps) |
eps |
(*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps) |
(*.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps) (+.f64 (sin.f64 eps) eps)) |
(*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) (+.f64 (sin.f64 eps) eps)) |
(pow.f64 (sin.f64 eps) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) (/.f64 (+.f64 (sin.f64 eps) eps) eps)) |
(*.f64 (/.f64 (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal 2 binary64)) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) |
(-.f64 eps (tan.f64 eps)) |
(tan.f64 eps) |
(/.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps) (*.f64 (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) |
(*.f64 (/.f64 (fma.f64 eps eps (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (-.f64 eps (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 eps) eps))) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps) (*.f64 (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal 2 binary64))) |
(*.f64 (/.f64 (fma.f64 eps eps (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (+.f64 (sin.f64 eps) eps)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps) (*.f64 (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))) |
(*.f64 (fma.f64 eps eps (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (+.f64 (sin.f64 eps) eps)) |
(neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) |
(pow.f64 (sin.f64 eps) #s(literal 2 binary64)) |
(sin.f64 eps) |
eps |
#s(literal 2 binary64) |
(+.f64 (sin.f64 eps) eps) |
(*.f64 (+.f64 (sin.f64 eps) eps) (*.f64 eps eps)) |
(*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) eps) eps) |
(*.f64 eps eps) |
(pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal 2 binary64)) |
(-.f64 eps (tan.f64 eps)) |
(tan.f64 eps) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 19.19999021703124 | (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps) (*.f64 (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))) | |
| accuracy | 20.425570636155506 | (-.f64 eps (tan.f64 eps)) | |
| accuracy | 39.15383477039671 | (/.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps) (*.f64 (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal 2 binary64))) | |
| accuracy | 40.86264535541384 | (/.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps) (*.f64 (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) | |
| accuracy | 20.425570636155506 | (-.f64 eps (tan.f64 eps)) | |
| accuracy | 29.093000581982313 | (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 eps) eps) eps) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps)) | |
| accuracy | 30.41498276033264 | (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) | |
| accuracy | 40.86264535541384 | (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 eps) eps) eps) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps)) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) (/.f64 (+.f64 (sin.f64 eps) eps) eps))) (-.f64 eps (tan.f64 eps))) | |
| accuracy | 8.285482422209897 | (/.f64 (-.f64 eps (tan.f64 eps)) eps) | |
| accuracy | 11.862172269195858 | (-.f64 (-.f64 eps (tan.f64 eps)) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps))) | |
| accuracy | 20.425570636155506 | (-.f64 eps (tan.f64 eps)) | |
| accuracy | 50.05328909311129 | (/.f64 (-.f64 (-.f64 eps (tan.f64 eps)) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps))) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (-.f64 eps (tan.f64 eps)))) | |
| accuracy | 0.015625 | (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) | |
| accuracy | 0.01953125 | (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) | |
| accuracy | 0.026788988262217078 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))))) | |
| accuracy | 0.10384750976844202 | (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
| 474.0ms | 112× | 3 | valid |
| 384.0ms | 75× | 2 | valid |
| 124.0ms | 65× | 1 | valid |
| 1.0ms | 4× | 0 | valid |
Compiled 710 to 55 computations (92.3% saved)
ival-tan: 208.0ms (27.5% of total)ival-div: 167.0ms (22.1% of total)ival-sin: 133.0ms (17.6% of total)ival-mult: 65.0ms (8.6% of total)adjust: 47.0ms (6.2% of total)ival-neg: 45.0ms (5.9% of total)ival-add: 31.0ms (4.1% of total)ival-pow2: 19.0ms (2.5% of total)const: 16.0ms (2.1% of total)ival-sub: 13.0ms (1.7% of total)ival-pow: 11.0ms (1.5% of total)exact: 1.0ms (0.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)))) (patch (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (patch (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (-.f64 eps (tan.f64 eps)) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps))) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (-.f64 eps (tan.f64 eps)))) (patch (/.f64 (-.f64 (-.f64 eps (tan.f64 eps)) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps))) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (-.f64 eps (tan.f64 eps)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (-.f64 eps (tan.f64 eps)) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps))) (patch (-.f64 (-.f64 eps (tan.f64 eps)) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps))) #<representation binary64>) () ()) |
#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ()) |
#s(alt (tan.f64 eps) (patch (tan.f64 eps) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 eps) eps) eps) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps)) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) (/.f64 (+.f64 (sin.f64 eps) eps) eps))) (patch (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 eps) eps) eps) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps)) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) (/.f64 (+.f64 (sin.f64 eps) eps) eps))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 eps) eps) eps) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps)) (patch (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 eps) eps) eps) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) (/.f64 (+.f64 (sin.f64 eps) eps) eps)) (patch (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) (/.f64 (+.f64 (sin.f64 eps) eps) eps)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 eps) eps) eps) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps)) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) (/.f64 (+.f64 (sin.f64 eps) eps) eps))) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 eps) eps) eps) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps)) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) (/.f64 (+.f64 (sin.f64 eps) eps) eps))) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps) (*.f64 (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal 2 binary64))) (patch (/.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps) (*.f64 (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps) (*.f64 (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))) (patch (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps) (*.f64 (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps) (*.f64 (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps) (*.f64 (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (patch (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (patch (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (patch (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 eps (tan.f64 eps)) eps) (patch (/.f64 (-.f64 eps (tan.f64 eps)) eps) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) (patch (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) #<representation binary64>) () ()) |
| Outputs |
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#s(alt (* 27/112000 (pow eps 2)) (taylor -inf eps) (#s(alt (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (patch (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) (taylor -inf eps) (#s(alt (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (patch (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) (taylor -inf eps) (#s(alt (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (patch (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) (taylor -inf eps) (#s(alt (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (patch (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf eps) (#s(alt (/.f64 (-.f64 eps (tan.f64 eps)) eps) (patch (/.f64 (-.f64 eps (tan.f64 eps)) eps) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) (taylor -inf eps) (#s(alt (/.f64 (-.f64 eps (tan.f64 eps)) eps) (patch (/.f64 (-.f64 eps (tan.f64 eps)) eps) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) (taylor -inf eps) (#s(alt (/.f64 (-.f64 eps (tan.f64 eps)) eps) (patch (/.f64 (-.f64 eps (tan.f64 eps)) eps) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) (taylor -inf eps) (#s(alt (/.f64 (-.f64 eps (tan.f64 eps)) eps) (patch (/.f64 (-.f64 eps (tan.f64 eps)) eps) #<representation binary64>) () ())) ()) |
#s(alt (/ eps (pow (sin eps) 2)) (taylor -inf eps) (#s(alt (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) (patch (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (/ 1 (* eps (sin eps))) (/ 1 (pow (sin eps) 2)))) (taylor -inf eps) (#s(alt (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) (patch (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (/ 1 (* eps (sin eps))) (/ 1 (pow (sin eps) 2)))) (taylor -inf eps) (#s(alt (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) (patch (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (/ 1 (* eps (sin eps))) (/ 1 (pow (sin eps) 2)))) (taylor -inf eps) (#s(alt (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) (patch (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | eps | @ | -inf | ((/ (- (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (* (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) 1/4)) (* (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2))) (- (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (* (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) 1/4)) (/ (- eps (sin eps)) (- eps (tan eps))) (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (/ (- (- eps (tan eps)) (* (/ (- eps (tan eps)) eps) (sin eps))) (* (/ (- eps (tan eps)) eps) (- eps (tan eps)))) (- (- eps (tan eps)) (* (/ (- eps (tan eps)) eps) (sin eps))) (- eps (tan eps)) (tan eps) (/ (+ (* -1 (/ (+ (sin eps) eps) eps)) (* (* (+ (sin eps) eps) (pow (sin eps) -2)) eps)) (* (* (+ (sin eps) eps) (pow (sin eps) -2)) (/ (+ (sin eps) eps) eps))) (+ (* -1 (/ (+ (sin eps) eps) eps)) (* (* (+ (sin eps) eps) (pow (sin eps) -2)) eps)) (* (* (+ (sin eps) eps) (pow (sin eps) -2)) (/ (+ (sin eps) eps) eps)) (/ (/ (+ (* -1 (/ (+ (sin eps) eps) eps)) (* (* (+ (sin eps) eps) (pow (sin eps) -2)) eps)) (* (* (+ (sin eps) eps) (pow (sin eps) -2)) (/ (+ (sin eps) eps) eps))) (- eps (tan eps))) (/ (+ (* (neg (pow (sin eps) 2)) (+ (sin eps) eps)) (* (+ (sin eps) eps) (* eps eps))) (pow (+ (sin eps) eps) 2)) (+ (* (neg (pow (sin eps) 2)) (+ (sin eps) eps)) (* (+ (sin eps) eps) (* eps eps))) (/ (/ (+ (* (neg (pow (sin eps) 2)) (+ (sin eps) eps)) (* (+ (sin eps) eps) (* eps eps))) (pow (+ (sin eps) eps) 2)) (- eps (tan eps))) (neg (pow (sin eps) 2)) (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (* (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (+ (* (* eps eps) 27/112000) -27/2800) (/ (- eps (tan eps)) eps) (* (+ (sin eps) eps) (pow (sin eps) -2))) |
| 9.0ms | eps | @ | inf | ((/ (- (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (* (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) 1/4)) (* (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2))) (- (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (* (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) 1/4)) (/ (- eps (sin eps)) (- eps (tan eps))) (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (/ (- (- eps (tan eps)) (* (/ (- eps (tan eps)) eps) (sin eps))) (* (/ (- eps (tan eps)) eps) (- eps (tan eps)))) (- (- eps (tan eps)) (* (/ (- eps (tan eps)) eps) (sin eps))) (- eps (tan eps)) (tan eps) (/ (+ (* -1 (/ (+ (sin eps) eps) eps)) (* (* (+ (sin eps) eps) (pow (sin eps) -2)) eps)) (* (* (+ (sin eps) eps) (pow (sin eps) -2)) (/ (+ (sin eps) eps) eps))) (+ (* -1 (/ (+ (sin eps) eps) eps)) (* (* (+ (sin eps) eps) (pow (sin eps) -2)) eps)) (* (* (+ (sin eps) eps) (pow (sin eps) -2)) (/ (+ (sin eps) eps) eps)) (/ (/ (+ (* -1 (/ (+ (sin eps) eps) eps)) (* (* (+ (sin eps) eps) (pow (sin eps) -2)) eps)) (* (* (+ (sin eps) eps) (pow (sin eps) -2)) (/ (+ (sin eps) eps) eps))) (- eps (tan eps))) (/ (+ (* (neg (pow (sin eps) 2)) (+ (sin eps) eps)) (* (+ (sin eps) eps) (* eps eps))) (pow (+ (sin eps) eps) 2)) (+ (* (neg (pow (sin eps) 2)) (+ (sin eps) eps)) (* (+ (sin eps) eps) (* eps eps))) (/ (/ (+ (* (neg (pow (sin eps) 2)) (+ (sin eps) eps)) (* (+ (sin eps) eps) (* eps eps))) (pow (+ (sin eps) eps) 2)) (- eps (tan eps))) (neg (pow (sin eps) 2)) (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (* (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (+ (* (* eps eps) 27/112000) -27/2800) (/ (- eps (tan eps)) eps) (* (+ (sin eps) eps) (pow (sin eps) -2))) |
| 6.0ms | eps | @ | 0 | ((/ (- (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (* (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) 1/4)) (* (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2))) (- (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (* (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) 1/4)) (/ (- eps (sin eps)) (- eps (tan eps))) (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (/ (- (- eps (tan eps)) (* (/ (- eps (tan eps)) eps) (sin eps))) (* (/ (- eps (tan eps)) eps) (- eps (tan eps)))) (- (- eps (tan eps)) (* (/ (- eps (tan eps)) eps) (sin eps))) (- eps (tan eps)) (tan eps) (/ (+ (* -1 (/ (+ (sin eps) eps) eps)) (* (* (+ (sin eps) eps) (pow (sin eps) -2)) eps)) (* (* (+ (sin eps) eps) (pow (sin eps) -2)) (/ (+ (sin eps) eps) eps))) (+ (* -1 (/ (+ (sin eps) eps) eps)) (* (* (+ (sin eps) eps) (pow (sin eps) -2)) eps)) (* (* (+ (sin eps) eps) (pow (sin eps) -2)) (/ (+ (sin eps) eps) eps)) (/ (/ (+ (* -1 (/ (+ (sin eps) eps) eps)) (* (* (+ (sin eps) eps) (pow (sin eps) -2)) eps)) (* (* (+ (sin eps) eps) (pow (sin eps) -2)) (/ (+ (sin eps) eps) eps))) (- eps (tan eps))) (/ (+ (* (neg (pow (sin eps) 2)) (+ (sin eps) eps)) (* (+ (sin eps) eps) (* eps eps))) (pow (+ (sin eps) eps) 2)) (+ (* (neg (pow (sin eps) 2)) (+ (sin eps) eps)) (* (+ (sin eps) eps) (* eps eps))) (/ (/ (+ (* (neg (pow (sin eps) 2)) (+ (sin eps) eps)) (* (+ (sin eps) eps) (* eps eps))) (pow (+ (sin eps) eps) 2)) (- eps (tan eps))) (neg (pow (sin eps) 2)) (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (* (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (+ (* (* eps eps) 27/112000) -27/2800) (/ (- eps (tan eps)) eps) (* (+ (sin eps) eps) (pow (sin eps) -2))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 765 | 4994 |
| 1 | 2318 | 4532 |
| 2 | 7862 | 4376 |
| 0 | 8728 | 4196 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1/2 |
(- (* 9/40 (pow eps 2)) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
-1/8 |
(- (* -9/160 (pow eps 2)) 1/8) |
(- (* (pow eps 2) (- (* 621/22400 (pow eps 2)) 9/160)) 1/8) |
(- (* (pow eps 2) (- (* (pow eps 2) (+ 621/22400 (* 513/56000 (pow eps 2)))) 9/160)) 1/8) |
-1/2 |
(- (* 9/40 (pow eps 2)) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(* 81/3200 (pow eps 4)) |
(* (pow eps 4) (+ 81/3200 (* 4131/448000 (pow eps 2)))) |
(* (pow eps 4) (+ 81/3200 (* (pow eps 2) (+ 4131/448000 (* -2673/1960000 (pow eps 2)))))) |
(* (pow eps 4) (+ 81/3200 (* (pow eps 2) (+ 4131/448000 (* (pow eps 2) (- (* 121743/1254400000 (pow eps 2)) 2673/1960000)))))) |
-1/2 |
(- (* 9/40 (pow eps 2)) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(* -1/18 (pow eps 5)) |
(* (pow eps 5) (- (* -7/360 (pow eps 2)) 1/18)) |
(* (pow eps 5) (- (* (pow eps 2) (- (* -601/75600 (pow eps 2)) 7/360)) 1/18)) |
(* (pow eps 5) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -17531/5443200 (pow eps 2)) 601/75600)) 7/360)) 1/18)) |
(* -1/3 (pow eps 3)) |
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) |
eps |
(* eps (+ 1 (* 1/3 (pow eps 2)))) |
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) |
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))))) |
(* 1/6 (pow eps 3)) |
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) |
(* 2/3 (pow eps 2)) |
(* (pow eps 2) (+ 2/3 (* 7/90 (pow eps 2)))) |
(* (pow eps 2) (+ 2/3 (* (pow eps 2) (+ 7/90 (* 97/7560 (pow eps 2)))))) |
(* (pow eps 2) (+ 2/3 (* (pow eps 2) (+ 7/90 (* (pow eps 2) (+ 97/7560 (* 383/226800 (pow eps 2)))))))) |
(/ 4 eps) |
(/ (+ 4 (* 2/3 (pow eps 2))) eps) |
(/ (+ 4 (* (pow eps 2) (+ 2/3 (* 19/180 (pow eps 2))))) eps) |
(/ (+ 4 (* (pow eps 2) (+ 2/3 (* (pow eps 2) (+ 19/180 (* 37/2520 (pow eps 2))))))) eps) |
-1/2 |
(- (* 9/40 (pow eps 2)) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(* 1/6 (pow eps 3)) |
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) |
(* 2/3 (pow eps 5)) |
(* (pow eps 5) (+ 2/3 (* -13/90 (pow eps 2)))) |
(* (pow eps 5) (+ 2/3 (* (pow eps 2) (- (* 25/1512 (pow eps 2)) 13/90)))) |
(* (pow eps 5) (+ 2/3 (* (pow eps 2) (- (* (pow eps 2) (+ 25/1512 (* -283/226800 (pow eps 2)))) 13/90)))) |
-1/2 |
(- (* 9/40 (pow eps 2)) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(* -1 (pow eps 2)) |
(* (pow eps 2) (- (* 1/3 (pow eps 2)) 1)) |
(* (pow eps 2) (- (* (pow eps 2) (+ 1/3 (* -2/45 (pow eps 2)))) 1)) |
(* (pow eps 2) (- (* (pow eps 2) (+ 1/3 (* (pow eps 2) (- (* 1/315 (pow eps 2)) 2/45)))) 1)) |
(* 81/1600 (pow eps 4)) |
(* (pow eps 4) (+ 81/1600 (* -243/56000 (pow eps 2)))) |
(* (pow eps 4) (+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000)))) |
(* (pow eps 4) (+ 81/1600 (* (pow eps 2) (- (* (pow eps 2) (+ 3159/15680000 (* -729/156800000 (pow eps 2)))) 243/56000)))) |
1/4 |
(+ 1/4 (* 9/40 (pow eps 2))) |
(+ 1/4 (* (pow eps 2) (+ 9/40 (* 459/11200 (pow eps 2))))) |
(+ 1/4 (* (pow eps 2) (+ 9/40 (* (pow eps 2) (+ 459/11200 (* -459/112000 (pow eps 2))))))) |
-27/2800 |
(- (* 27/112000 (pow eps 2)) 27/2800) |
(- (* 27/112000 (pow eps 2)) 27/2800) |
(- (* 27/112000 (pow eps 2)) 27/2800) |
(* -1/3 (pow eps 2)) |
(* (pow eps 2) (- (* -2/15 (pow eps 2)) 1/3)) |
(* (pow eps 2) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) |
(* (pow eps 2) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) |
(/ 2 eps) |
(/ (+ 2 (* 1/2 (pow eps 2))) eps) |
(/ (+ 2 (* (pow eps 2) (+ 1/2 (* 31/360 (pow eps 2))))) eps) |
(/ (+ 2 (* (pow eps 2) (+ 1/2 (* (pow eps 2) (+ 31/360 (* 191/15120 (pow eps 2))))))) eps) |
(* 27/112000 (pow eps 6)) |
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))) |
(* 19683/1404928000000000 (pow eps 18)) |
(* (pow eps 18) (- 19683/1404928000000000 (* 59049/35123200000000 (/ 1 (pow eps 2))))) |
(* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (* 59049/35123200000000 (/ 1 (pow eps 2))))) |
(* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (+ (* 59049/35123200000000 (/ 1 (pow eps 2))) (* 140697/35123200000 (/ 1 (pow eps 6)))))) |
1 |
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) |
(* 19683/1404928000000000 (pow eps 18)) |
(* (pow eps 18) (- 19683/1404928000000000 (* 59049/35123200000000 (/ 1 (pow eps 2))))) |
(* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (* 59049/35123200000000 (/ 1 (pow eps 2))))) |
(* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (+ (* 59049/35123200000000 (/ 1 (pow eps 2))) (* 140697/35123200000 (/ 1 (pow eps 6)))))) |
1 |
(- (+ 1 (* -1 (/ (+ (sin eps) (/ (sin eps) (cos eps))) eps))) (* -2 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (+ (sin eps) (/ (sin eps) (cos eps))) eps)) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (+ (sin eps) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) |
(- (+ 1 (+ (* -1 (/ (+ (sin eps) (/ (sin eps) (cos eps))) eps)) (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (cos eps)) (+ (* -2 (/ (* (sin eps) (- (* -1 (+ (sin eps) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (* -1 (+ (sin eps) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2))) (pow eps 3))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (+ (sin eps) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) |
eps |
(* eps (+ 1 (* -1 (/ (+ (sin eps) (/ (sin eps) (cos eps))) eps)))) |
(* eps (- (+ 1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (/ (sin eps) eps) (/ (sin eps) (* eps (cos eps)))))) |
(* eps (- (+ 1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (/ (sin eps) eps) (/ (sin eps) (* eps (cos eps)))))) |
eps |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(/ (sin eps) (cos eps)) |
(/ (sin eps) (cos eps)) |
(/ (sin eps) (cos eps)) |
(/ (sin eps) (cos eps)) |
eps |
(* eps (- (+ 1 (/ (sin eps) eps)) (* 2 (/ (sin eps) eps)))) |
(* eps (- (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (/ (sin eps) eps))) (+ (* 2 (/ (sin eps) eps)) (+ (* 2 (/ (* (sin eps) (- (sin eps) (* 2 (sin eps)))) (pow eps 2))) (/ (pow (sin eps) 2) (pow eps 2)))))) |
(* eps (- (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ (* -1 (/ (pow (sin eps) 3) (pow eps 3))) (/ (sin eps) eps)))) (+ (* 2 (/ (sin eps) eps)) (+ (* 2 (/ (* (sin eps) (- (sin eps) (* 2 (sin eps)))) (pow eps 2))) (+ (* 2 (/ (* (sin eps) (- (* -1 (pow (sin eps) 2)) (+ (* 2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (pow (sin eps) 2)))) (pow eps 3))) (+ (/ (* (pow (sin eps) 2) (- (sin eps) (* 2 (sin eps)))) (pow eps 3)) (/ (pow (sin eps) 2) (pow eps 2)))))))) |
(/ (pow eps 2) (pow (sin eps) 2)) |
(* (pow eps 2) (+ (/ 1 (* eps (sin eps))) (/ 1 (pow (sin eps) 2)))) |
(* (pow eps 2) (- (+ (/ 1 (* eps (sin eps))) (/ 1 (pow (sin eps) 2))) (/ 1 (pow eps 2)))) |
(* (pow eps 2) (- (+ (* -1 (/ (sin eps) (pow eps 3))) (+ (/ 1 (* eps (sin eps))) (/ 1 (pow (sin eps) 2)))) (/ 1 (pow eps 2)))) |
(/ eps (pow (sin eps) 2)) |
(* eps (+ (* 2 (/ 1 (* eps (sin eps)))) (/ 1 (pow (sin eps) 2)))) |
(* eps (+ (/ 1 (pow eps 2)) (+ (/ 1 (pow (sin eps) 2)) (/ 2 (* eps (sin eps)))))) |
(* eps (+ (/ 1 (pow eps 2)) (+ (/ 1 (pow (sin eps) 2)) (/ 2 (* eps (sin eps)))))) |
1 |
(- (+ 1 (/ (sin eps) eps)) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* 2 (/ (sin eps) eps)))) |
(- (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (/ (sin eps) eps))) (+ (* -2 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* 2 (/ (sin eps) eps)) (+ (/ (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) (pow eps 2)) (/ (pow (sin eps) 2) (pow eps 2))))))) |
(- (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ (* -1 (/ (pow (sin eps) 3) (pow eps 3))) (/ (sin eps) eps)))) (+ (* -2 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (cos eps)))) (+ (* 2 (/ (sin eps) eps)) (+ (/ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (pow (sin eps) 2)) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) (pow eps 3)) (+ (/ (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) (pow eps 2)) (+ (/ (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (* -1 (pow (sin eps) 2)) (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) (pow (sin eps) 2))))) (pow eps 3)) (/ (pow (sin eps) 2) (pow eps 2)))))))))) |
eps |
(* eps (- (+ 1 (/ (sin eps) eps)) (* 2 (/ (sin eps) eps)))) |
(* eps (- (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (/ (sin eps) eps))) (+ (* 2 (/ (sin eps) eps)) (+ (* 2 (/ (* (sin eps) (- (sin eps) (* 2 (sin eps)))) (pow eps 2))) (/ (pow (sin eps) 2) (pow eps 2)))))) |
(* eps (- (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ (* -1 (/ (pow (sin eps) 3) (pow eps 3))) (/ (sin eps) eps)))) (+ (* 2 (/ (sin eps) eps)) (+ (* 2 (/ (* (sin eps) (- (sin eps) (* 2 (sin eps)))) (pow eps 2))) (+ (* 2 (/ (* (sin eps) (- (* -1 (pow (sin eps) 2)) (+ (* 2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (pow (sin eps) 2)))) (pow eps 3))) (+ (/ (* (pow (sin eps) 2) (- (sin eps) (* 2 (sin eps)))) (pow eps 3)) (/ (pow (sin eps) 2) (pow eps 2)))))))) |
(pow eps 3) |
(* (pow eps 3) (+ 1 (/ (sin eps) eps))) |
(* (pow eps 3) (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (/ (sin eps) eps)))) |
(* (pow eps 3) (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ (* -1 (/ (pow (sin eps) 3) (pow eps 3))) (/ (sin eps) eps))))) |
1 |
(- (+ 1 (/ (sin eps) eps)) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* 2 (/ (sin eps) eps)))) |
(- (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (/ (sin eps) eps))) (+ (* -2 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* 2 (/ (sin eps) eps)) (+ (/ (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) (pow eps 2)) (/ (pow (sin eps) 2) (pow eps 2))))))) |
(- (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ (* -1 (/ (pow (sin eps) 3) (pow eps 3))) (/ (sin eps) eps)))) (+ (* -2 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (cos eps)))) (+ (* 2 (/ (sin eps) eps)) (+ (/ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (pow (sin eps) 2)) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) (pow eps 3)) (+ (/ (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) (pow eps 2)) (+ (/ (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (* -1 (pow (sin eps) 2)) (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) (pow (sin eps) 2))))) (pow eps 3)) (/ (pow (sin eps) 2) (pow eps 2)))))))))) |
(* -1 (pow (sin eps) 2)) |
(* -1 (pow (sin eps) 2)) |
(* -1 (pow (sin eps) 2)) |
(* -1 (pow (sin eps) 2)) |
(* 729/12544000000 (pow eps 12)) |
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2))))) |
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2))))) |
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6)))))) |
(* 729/12544000000 (pow eps 12)) |
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2))))) |
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2))))) |
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 459/112000 (/ 1 (pow eps 6)))))) |
(* 27/112000 (pow eps 2)) |
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
1 |
(+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) |
(+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) |
(+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) |
(/ eps (pow (sin eps) 2)) |
(* eps (+ (/ 1 (* eps (sin eps))) (/ 1 (pow (sin eps) 2)))) |
(* eps (+ (/ 1 (* eps (sin eps))) (/ 1 (pow (sin eps) 2)))) |
(* eps (+ (/ 1 (* eps (sin eps))) (/ 1 (pow (sin eps) 2)))) |
(* 27/112000 (pow eps 6)) |
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))) |
(* 19683/1404928000000000 (pow eps 18)) |
(* (pow eps 18) (- 19683/1404928000000000 (* 59049/35123200000000 (/ 1 (pow eps 2))))) |
(* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (* 59049/35123200000000 (/ 1 (pow eps 2))))) |
(* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (+ (* 59049/35123200000000 (/ 1 (pow eps 2))) (* 140697/35123200000 (/ 1 (pow eps 6)))))) |
1 |
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps))) |
(* 19683/1404928000000000 (pow eps 18)) |
(* (pow eps 18) (- 19683/1404928000000000 (* 59049/35123200000000 (/ 1 (pow eps 2))))) |
(* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (* 59049/35123200000000 (/ 1 (pow eps 2))))) |
(* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (+ (* 59049/35123200000000 (/ 1 (pow eps 2))) (* 140697/35123200000 (/ 1 (pow eps 6)))))) |
1 |
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps)))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (- (/ (pow (sin eps) 2) (cos eps)) (+ (* 2 (/ (* (sin eps) (- (+ (sin eps) (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps)))) (* 2 (/ (sin eps) (cos eps)))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (- (+ (* 2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (cos eps)) (+ (* 2 (/ (* (sin eps) (- (+ (sin eps) (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* eps (cos eps)))) (+ (/ (* (pow (sin eps) 2) (- (+ (sin eps) (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2))) (/ (pow (sin eps) 2) (cos eps)))) (+ (* 2 (/ (* (sin eps) (- (+ (sin eps) (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps)))) (* 2 (/ (sin eps) (cos eps)))) eps))) |
eps |
(* -1 (* eps (- (+ (/ (sin eps) eps) (/ (sin eps) (* eps (cos eps)))) 1))) |
(* -1 (* eps (- (* -1 (/ (- (/ (pow (sin eps) 2) (* eps (cos eps))) (+ (sin eps) (/ (sin eps) (cos eps)))) eps)) 1))) |
(* -1 (* eps (- (* -1 (/ (- (/ (pow (sin eps) 2) (* eps (cos eps))) (+ (sin eps) (/ (sin eps) (cos eps)))) eps)) 1))) |
eps |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(/ (sin eps) (cos eps)) |
(/ (sin eps) (cos eps)) |
(/ (sin eps) (cos eps)) |
(/ (sin eps) (cos eps)) |
eps |
(* -1 (* eps (- (* -1 (/ (sin eps) eps)) (+ 1 (* -2 (/ (sin eps) eps)))))) |
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (- (* -1 (sin eps)) (* -2 (sin eps)))) (* -1 (/ (pow (sin eps) 2) eps))) (+ (* -2 (/ (* (sin eps) (- (* -1 (sin eps)) (* -2 (sin eps)))) eps)) (/ (pow (sin eps) 2) eps))) eps)) 1))) |
(* -1 (* eps (- (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -2 (sin eps)))) (* -1 (/ (- (+ (* -1 (- (* -1 (pow (sin eps) 2)) (+ (* -2 (* (sin eps) (- (* -1 (sin eps)) (* -2 (sin eps))))) (pow (sin eps) 2)))) (/ (pow (sin eps) 3) eps)) (+ (* -2 (/ (* (sin eps) (- (* -1 (pow (sin eps) 2)) (+ (* -2 (* (sin eps) (- (* -1 (sin eps)) (* -2 (sin eps))))) (pow (sin eps) 2)))) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -2 (sin eps)))) eps))) eps))) eps)) 1))) |
(/ (pow eps 2) (pow (sin eps) 2)) |
(* (pow eps 2) (+ (/ 1 (* eps (sin eps))) (/ 1 (pow (sin eps) 2)))) |
(* (pow eps 2) (+ (* -1 (/ (- (/ 1 eps) (/ 1 (sin eps))) eps)) (/ 1 (pow (sin eps) 2)))) |
(* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin eps) eps)) 1) eps)) (/ 1 (sin eps))) eps)) (/ 1 (pow (sin eps) 2)))) |
(/ eps (pow (sin eps) 2)) |
(* eps (+ (* 2 (/ 1 (* eps (sin eps)))) (/ 1 (pow (sin eps) 2)))) |
(* -1 (* eps (- (* -1 (/ (+ (/ 1 eps) (* 2 (/ 1 (sin eps)))) eps)) (/ 1 (pow (sin eps) 2))))) |
(* -1 (* eps (- (* -1 (/ (+ (/ 1 eps) (* 2 (/ 1 (sin eps)))) eps)) (/ 1 (pow (sin eps) 2))))) |
1 |
(+ 1 (* -1 (/ (- (* -1 (sin eps)) (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))) eps))) |
(+ 1 (* -1 (/ (- (+ (* -1 (sin eps)) (* -1 (/ (- (* -1 (pow (sin eps) 2)) (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (* -1 (sin eps)) (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))) (pow (sin eps) 2)))) eps))) (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))) eps))) |
(+ 1 (* -1 (/ (- (+ (* -1 (sin eps)) (* -1 (/ (- (+ (* -1 (/ (- (pow (sin eps) 3) (+ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (* -1 (pow (sin eps) 2)) (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (* -1 (sin eps)) (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))) (pow (sin eps) 2))))) (+ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (pow (sin eps) 2)) (- (* -1 (sin eps)) (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))) (/ (pow (sin eps) 3) (cos eps))))) eps)) (* -1 (pow (sin eps) 2))) (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (* -1 (sin eps)) (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))) (pow (sin eps) 2)))) eps))) (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))) eps))) |
eps |
(* -1 (* eps (- (* -1 (/ (- (sin eps) (* 2 (sin eps))) eps)) 1))) |
(* -1 (* eps (- (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (pow (sin eps) 2) (+ (* -2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* -1 (pow (sin eps) 2)))) eps))) (* 2 (sin eps))) eps)) 1))) |
(* -1 (* eps (- (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow (sin eps) 3)) (+ (* -2 (* (sin eps) (- (pow (sin eps) 2) (+ (* -2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* -1 (pow (sin eps) 2)))))) (* (pow (sin eps) 2) (- (sin eps) (* 2 (sin eps)))))) eps)) (pow (sin eps) 2)) (+ (* -2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* -1 (pow (sin eps) 2)))) eps))) (* 2 (sin eps))) eps)) 1))) |
(pow eps 3) |
(* -1 (* (pow eps 3) (- (* -1 (/ (sin eps) eps)) 1))) |
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (sin eps) (* -1 (/ (pow (sin eps) 2) eps))) eps)) 1))) |
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (sin eps) (* -1 (/ (+ (/ (pow (sin eps) 3) eps) (pow (sin eps) 2)) eps))) eps)) 1))) |
1 |
(- (+ 1 (/ (sin eps) eps)) (* -1 (/ (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (* -1 (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) (/ (pow (sin eps) 2) eps)) (+ (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (pow (sin eps) 2)) eps)) (/ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) eps))) eps))) |
(+ 1 (* -1 (/ (+ (* -1 (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) (* -1 (/ (- (+ (* -1 (- (pow (sin eps) 2) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (pow (sin eps) 2))) (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))))))) (* -1 (/ (pow (sin eps) 3) eps))) (+ (* -1 (/ (pow (sin eps) 3) (* eps (cos eps)))) (+ (/ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (pow (sin eps) 2) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (pow (sin eps) 2))) (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))))))) eps) (/ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (pow (sin eps) 2)) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) eps)))) eps))) eps))) |
(* -1 (pow (sin eps) 2)) |
(* -1 (pow (sin eps) 2)) |
(* -1 (pow (sin eps) 2)) |
(* -1 (pow (sin eps) 2)) |
(* 729/12544000000 (pow eps 12)) |
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2))))) |
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2))))) |
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6)))))) |
(* 729/12544000000 (pow eps 12)) |
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2))))) |
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2))))) |
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 459/112000 (/ 1 (pow eps 6)))))) |
(* 27/112000 (pow eps 2)) |
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
1 |
(+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) |
(+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) |
(+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) |
(/ eps (pow (sin eps) 2)) |
(* eps (+ (/ 1 (* eps (sin eps))) (/ 1 (pow (sin eps) 2)))) |
(* eps (+ (/ 1 (* eps (sin eps))) (/ 1 (pow (sin eps) 2)))) |
(* eps (+ (/ 1 (* eps (sin eps))) (/ 1 (pow (sin eps) 2)))) |
| Outputs |
|---|
-1/2 |
#s(literal -1/2 binary64) |
(- (* 9/40 (pow eps 2)) 1/2) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
-1/8 |
#s(literal -1/8 binary64) |
(- (* -9/160 (pow eps 2)) 1/8) |
(fma.f64 #s(literal -9/160 binary64) (*.f64 eps eps) #s(literal -1/8 binary64)) |
(- (* (pow eps 2) (- (* 621/22400 (pow eps 2)) 9/160)) 1/8) |
(fma.f64 (fma.f64 #s(literal 621/22400 binary64) (*.f64 eps eps) #s(literal -9/160 binary64)) (*.f64 eps eps) #s(literal -1/8 binary64)) |
(- (* (pow eps 2) (- (* (pow eps 2) (+ 621/22400 (* 513/56000 (pow eps 2)))) 9/160)) 1/8) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 513/56000 binary64) (*.f64 eps eps) #s(literal 621/22400 binary64)) (*.f64 eps eps) #s(literal -9/160 binary64)) (*.f64 eps eps) #s(literal -1/8 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 9/40 (pow eps 2)) 1/2) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(* 81/3200 (pow eps 4)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/3200 binary64)) |
(* (pow eps 4) (+ 81/3200 (* 4131/448000 (pow eps 2)))) |
(*.f64 (fma.f64 #s(literal 4131/448000 binary64) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (+ 81/3200 (* (pow eps 2) (+ 4131/448000 (* -2673/1960000 (pow eps 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -2673/1960000 binary64) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (+ 81/3200 (* (pow eps 2) (+ 4131/448000 (* (pow eps 2) (- (* 121743/1254400000 (pow eps 2)) 2673/1960000)))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 121743/1254400000 binary64) (*.f64 eps eps) #s(literal -2673/1960000 binary64)) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 9/40 (pow eps 2)) 1/2) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(* -1/18 (pow eps 5)) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal -1/18 binary64)) |
(* (pow eps 5) (- (* -7/360 (pow eps 2)) 1/18)) |
(*.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 eps eps) #s(literal -1/18 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (- (* (pow eps 2) (- (* -601/75600 (pow eps 2)) 7/360)) 1/18)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -601/75600 binary64) (*.f64 eps eps) #s(literal -7/360 binary64)) (*.f64 eps eps) #s(literal -1/18 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -17531/5443200 (pow eps 2)) 601/75600)) 7/360)) 1/18)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -17531/5443200 binary64) (*.f64 eps eps) #s(literal -601/75600 binary64)) (*.f64 eps eps) #s(literal -7/360 binary64)) (*.f64 eps eps) #s(literal -1/18 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* -1/3 (pow eps 3)) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/3 binary64)) |
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) |
(*.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 eps eps) #s(literal -2/15 binary64)) (*.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -62/2835 binary64) (*.f64 eps eps) #s(literal -17/315 binary64)) (*.f64 eps eps) #s(literal -2/15 binary64)) (*.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
eps |
(* eps (+ 1 (* 1/3 (pow eps 2)))) |
(fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 3 binary64)) eps) |
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) |
(fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 eps eps) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)) eps) |
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 eps eps) #s(literal 2/15 binary64)) (*.f64 eps eps) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)) eps) |
(* 1/6 (pow eps 3)) |
(*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))) |
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* 2/3 (pow eps 2)) |
(*.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) |
(* (pow eps 2) (+ 2/3 (* 7/90 (pow eps 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 7/90 binary64) (*.f64 eps eps) #s(literal 2/3 binary64)) eps) eps) |
(* (pow eps 2) (+ 2/3 (* (pow eps 2) (+ 7/90 (* 97/7560 (pow eps 2)))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 97/7560 binary64) (*.f64 eps eps) #s(literal 7/90 binary64)) (*.f64 eps eps) #s(literal 2/3 binary64)) eps) eps) |
(* (pow eps 2) (+ 2/3 (* (pow eps 2) (+ 7/90 (* (pow eps 2) (+ 97/7560 (* 383/226800 (pow eps 2)))))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 383/226800 binary64) (*.f64 eps eps) #s(literal 97/7560 binary64)) (*.f64 eps eps) #s(literal 7/90 binary64)) (*.f64 eps eps) #s(literal 2/3 binary64)) eps) eps) |
(/ 4 eps) |
(/.f64 #s(literal 4 binary64) eps) |
(/ (+ 4 (* 2/3 (pow eps 2))) eps) |
(/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 eps eps) #s(literal 4 binary64)) eps) |
(/ (+ 4 (* (pow eps 2) (+ 2/3 (* 19/180 (pow eps 2))))) eps) |
(/.f64 (fma.f64 (fma.f64 #s(literal 19/180 binary64) (*.f64 eps eps) #s(literal 2/3 binary64)) (*.f64 eps eps) #s(literal 4 binary64)) eps) |
(/ (+ 4 (* (pow eps 2) (+ 2/3 (* (pow eps 2) (+ 19/180 (* 37/2520 (pow eps 2))))))) eps) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 37/2520 binary64) (*.f64 eps eps) #s(literal 19/180 binary64)) (*.f64 eps eps) #s(literal 2/3 binary64)) (*.f64 eps eps) #s(literal 4 binary64)) eps) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 9/40 (pow eps 2)) 1/2) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(* 1/6 (pow eps 3)) |
(*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))) |
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* 2/3 (pow eps 5)) |
(*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 2/3 (* -13/90 (pow eps 2)))) |
(*.f64 (fma.f64 #s(literal -13/90 binary64) (*.f64 eps eps) #s(literal 2/3 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 2/3 (* (pow eps 2) (- (* 25/1512 (pow eps 2)) 13/90)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 25/1512 binary64) (*.f64 eps eps) #s(literal -13/90 binary64)) (*.f64 eps eps) #s(literal 2/3 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 2/3 (* (pow eps 2) (- (* (pow eps 2) (+ 25/1512 (* -283/226800 (pow eps 2)))) 13/90)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -283/226800 binary64) (*.f64 eps eps) #s(literal 25/1512 binary64)) (*.f64 eps eps) #s(literal -13/90 binary64)) (*.f64 eps eps) #s(literal 2/3 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 9/40 (pow eps 2)) 1/2) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(* -1 (pow eps 2)) |
(*.f64 (neg.f64 eps) eps) |
(* (pow eps 2) (- (* 1/3 (pow eps 2)) 1)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps) eps) |
(* (pow eps 2) (- (* (pow eps 2) (+ 1/3 (* -2/45 (pow eps 2)))) 1)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal -1 binary64)) eps) eps) |
(* (pow eps 2) (- (* (pow eps 2) (+ 1/3 (* (pow eps 2) (- (* 1/315 (pow eps 2)) 2/45)))) 1)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/315 binary64) (*.f64 eps eps) #s(literal -2/45 binary64)) (*.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal -1 binary64)) eps) eps) |
(* 81/1600 (pow eps 4)) |
(*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (+ 81/1600 (* -243/56000 (pow eps 2)))) |
(*.f64 (fma.f64 #s(literal -243/56000 binary64) (*.f64 eps eps) #s(literal 81/1600 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 3159/15680000 binary64) (*.f64 eps eps) #s(literal -243/56000 binary64)) (*.f64 eps eps) #s(literal 81/1600 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (+ 81/1600 (* (pow eps 2) (- (* (pow eps 2) (+ 3159/15680000 (* -729/156800000 (pow eps 2)))) 243/56000)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -729/156800000 binary64) (*.f64 eps eps) #s(literal 3159/15680000 binary64)) (*.f64 eps eps) #s(literal -243/56000 binary64)) (*.f64 eps eps) #s(literal 81/1600 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
1/4 |
#s(literal 1/4 binary64) |
(+ 1/4 (* 9/40 (pow eps 2))) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal 1/4 binary64)) |
(+ 1/4 (* (pow eps 2) (+ 9/40 (* 459/11200 (pow eps 2))))) |
(fma.f64 (fma.f64 #s(literal 459/11200 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/4 binary64)) |
(+ 1/4 (* (pow eps 2) (+ 9/40 (* (pow eps 2) (+ 459/11200 (* -459/112000 (pow eps 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -459/112000 binary64) (*.f64 eps eps) #s(literal 459/11200 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/4 binary64)) |
-27/2800 |
#s(literal -27/2800 binary64) |
(- (* 27/112000 (pow eps 2)) 27/2800) |
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) |
(- (* 27/112000 (pow eps 2)) 27/2800) |
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) |
(- (* 27/112000 (pow eps 2)) 27/2800) |
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) |
(* -1/3 (pow eps 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)) |
(* (pow eps 2) (- (* -2/15 (pow eps 2)) 1/3)) |
(*.f64 (*.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 eps eps) #s(literal -1/3 binary64)) eps) eps) |
(* (pow eps 2) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 eps eps) #s(literal -2/15 binary64)) (*.f64 eps eps) #s(literal -1/3 binary64)) eps) eps) |
(* (pow eps 2) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -62/2835 binary64) (*.f64 eps eps) #s(literal -17/315 binary64)) (*.f64 eps eps) #s(literal -2/15 binary64)) (*.f64 eps eps) #s(literal -1/3 binary64)) eps) eps) |
(/ 2 eps) |
(/.f64 #s(literal 2 binary64) eps) |
(/ (+ 2 (* 1/2 (pow eps 2))) eps) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) #s(literal 2 binary64)) eps) |
(/ (+ 2 (* (pow eps 2) (+ 1/2 (* 31/360 (pow eps 2))))) eps) |
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eps |
(* eps (- (+ 1 (/ (sin eps) eps)) (* 2 (/ (sin eps) eps)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) |
(* eps (- (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (/ (sin eps) eps))) (+ (* 2 (/ (sin eps) eps)) (+ (* 2 (/ (* (sin eps) (- (sin eps) (* 2 (sin eps)))) (pow eps 2))) (/ (pow (sin eps) 2) (pow eps 2)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps)) eps) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps)) eps) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) eps))) eps) |
(* eps (- (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ (* -1 (/ (pow (sin eps) 3) (pow eps 3))) (/ (sin eps) eps)))) (+ (* 2 (/ (sin eps) eps)) (+ (* 2 (/ (* (sin eps) (- (sin eps) (* 2 (sin eps)))) (pow eps 2))) (+ (* 2 (/ (* (sin eps) (- (* -1 (pow (sin eps) 2)) (+ (* 2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (pow (sin eps) 2)))) (pow eps 3))) (+ (/ (* (pow (sin eps) 2) (- (sin eps) (* 2 (sin eps)))) (pow eps 3)) (/ (pow (sin eps) 2) (pow eps 2)))))))) |
(*.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal -1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps)) eps)) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps)) eps) (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (pow.f64 eps #s(literal 3 binary64))) #s(literal 2 binary64) (fma.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal -1 binary64) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) eps))))) eps) |
(pow eps 3) |
(pow.f64 eps #s(literal 3 binary64)) |
(* (pow eps 3) (+ 1 (/ (sin eps) eps))) |
(*.f64 (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (/ (sin eps) eps)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ (* -1 (/ (pow (sin eps) 3) (pow eps 3))) (/ (sin eps) eps))))) |
(*.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal -1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps)) eps)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ (sin eps) eps)) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* 2 (/ (sin eps) eps)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)) |
(- (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (/ (sin eps) eps))) (+ (* -2 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* 2 (/ (sin eps) eps)) (+ (/ (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) (pow eps 2)) (/ (pow (sin eps) 2) (pow eps 2))))))) |
(-.f64 (+.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps)) eps) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) (cos.f64 eps)) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) eps) (fma.f64 (fma.f64 #s(literal -2 binary64) (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 #s(literal -1 binary64) eps) (fma.f64 (/.f64 (fma.f64 (sin.f64 eps) #s(literal -1 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 eps eps)) (fma.f64 (sin.f64 eps) #s(literal 2 binary64) (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps))) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) eps))))) |
(- (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ (* -1 (/ (pow (sin eps) 3) (pow eps 3))) (/ (sin eps) eps)))) (+ (* -2 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (cos eps)))) (+ (* 2 (/ (sin eps) eps)) (+ (/ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (pow (sin eps) 2)) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) (pow eps 3)) (+ (/ (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) (pow eps 2)) (+ (/ (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (* -1 (pow (sin eps) 2)) (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) (pow (sin eps) 2))))) (pow eps 3)) (/ (pow (sin eps) 2) (pow eps 2)))))))))) |
(-.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal -1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps)) eps)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) (cos.f64 eps)) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) eps) (-.f64 (-.f64 (fma.f64 (/.f64 (sin.f64 eps) eps) #s(literal 2 binary64) (fma.f64 (/.f64 (fma.f64 (sin.f64 eps) #s(literal -1 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) #s(literal -2 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (fma.f64 (fma.f64 (sin.f64 eps) #s(literal 2 binary64) (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps))) (+.f64 (/.f64 (fma.f64 (sin.f64 eps) #s(literal -1 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 eps eps)) (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) #s(literal 2 binary64) (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (fma.f64 (fma.f64 (sin.f64 eps) #s(literal 2 binary64) (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps))) (fma.f64 (sin.f64 eps) #s(literal -1 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) eps)))) (/.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) (cos.f64 eps))) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps))))) |
(* -1 (pow (sin eps) 2)) |
(neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) |
(* -1 (pow (sin eps) 2)) |
(neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) |
(* -1 (pow (sin eps) 2)) |
(neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) |
(* -1 (pow (sin eps) 2)) |
(neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) |
(* 729/12544000000 (pow eps 12)) |
(*.f64 (pow.f64 eps #s(literal 12 binary64)) #s(literal 729/12544000000 binary64)) |
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2))))) |
(*.f64 (-.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal 729/156800000 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 12 binary64))) |
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 3159/15680000 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 729/12544000000 binary64)) (/.f64 #s(literal 729/156800000 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 12 binary64))) |
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6)))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 3159/15680000 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 729/12544000000 binary64)) (/.f64 #s(literal 729/156800000 binary64) (*.f64 eps eps))) (/.f64 #s(literal 243/56000 binary64) (pow.f64 eps #s(literal 6 binary64)))) (pow.f64 eps #s(literal 12 binary64))) |
(* 729/12544000000 (pow eps 12)) |
(*.f64 (pow.f64 eps #s(literal 12 binary64)) #s(literal 729/12544000000 binary64)) |
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2))))) |
(*.f64 (-.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal 729/156800000 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 12 binary64))) |
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 3159/15680000 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 729/12544000000 binary64)) (/.f64 #s(literal 729/156800000 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 12 binary64))) |
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 459/112000 (/ 1 (pow eps 6)))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 3159/15680000 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 729/12544000000 binary64)) (/.f64 #s(literal 729/156800000 binary64) (*.f64 eps eps))) (/.f64 #s(literal 459/112000 binary64) (pow.f64 eps #s(literal 6 binary64)))) (pow.f64 eps #s(literal 12 binary64))) |
(* 27/112000 (pow eps 2)) |
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) |
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) eps) eps) |
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) eps) eps) |
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) eps) eps) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) |
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps))) |
(+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) |
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps))) |
(+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) |
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps))) |
(/ eps (pow (sin eps) 2)) |
(/.f64 eps (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) |
(* eps (+ (/ 1 (* eps (sin eps))) (/ 1 (pow (sin eps) 2)))) |
(+.f64 (/.f64 eps (*.f64 (sin.f64 eps) eps)) (/.f64 eps (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) |
(* eps (+ (/ 1 (* eps (sin eps))) (/ 1 (pow (sin eps) 2)))) |
(+.f64 (/.f64 eps (*.f64 (sin.f64 eps) eps)) (/.f64 eps (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) |
(* eps (+ (/ 1 (* eps (sin eps))) (/ 1 (pow (sin eps) 2)))) |
(+.f64 (/.f64 eps (*.f64 (sin.f64 eps) eps)) (/.f64 eps (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) |
(* 27/112000 (pow eps 6)) |
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 27/112000 binary64)) |
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 27/112000 binary64)) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 27/112000 binary64)) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 6 binary64)))) (pow.f64 eps #s(literal 6 binary64))) |
(* 19683/1404928000000000 (pow eps 18)) |
(*.f64 (pow.f64 eps #s(literal 18 binary64)) #s(literal 19683/1404928000000000 binary64)) |
(* (pow eps 18) (- 19683/1404928000000000 (* 59049/35123200000000 (/ 1 (pow eps 2))))) |
(*.f64 (-.f64 #s(literal 19683/1404928000000000 binary64) (/.f64 #s(literal 59049/35123200000000 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 18 binary64))) |
(* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (* 59049/35123200000000 (/ 1 (pow eps 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 373977/3512320000000 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 19683/1404928000000000 binary64)) (/.f64 #s(literal 59049/35123200000000 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 18 binary64))) |
(* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (+ (* 59049/35123200000000 (/ 1 (pow eps 2))) (* 140697/35123200000 (/ 1 (pow eps 6)))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 373977/3512320000000 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 19683/1404928000000000 binary64)) (/.f64 #s(literal 59049/35123200000000 binary64) (*.f64 eps eps))) (/.f64 #s(literal 140697/35123200000 binary64) (pow.f64 eps #s(literal 6 binary64)))) (pow.f64 eps #s(literal 18 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)) |
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (cos.f64 eps) eps)) (sin.f64 eps) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps)) |
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps))) |
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(* 19683/1404928000000000 (pow eps 18)) |
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(+ 1 (* -1 (/ (+ (* -1 (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) (* -1 (/ (- (+ (* -1 (- (pow (sin eps) 2) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (pow (sin eps) 2))) (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))))))) (* -1 (/ (pow (sin eps) 3) eps))) (+ (* -1 (/ (pow (sin eps) 3) (* eps (cos eps)))) (+ (/ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (pow (sin eps) 2) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (pow (sin eps) 2))) (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))))))) eps) (/ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (pow (sin eps) 2)) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) eps)))) eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) eps) (+.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) #s(literal 2 binary64) (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))))) (*.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 #s(literal -2 binary64) (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (-.f64 (fma.f64 (+.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) #s(literal 2 binary64) (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))))) (*.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 #s(literal -2 binary64) (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (fma.f64 #s(literal -2 binary64) (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) (*.f64 (fma.f64 (sin.f64 eps) #s(literal -1 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) #s(literal -2 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) eps))) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) eps) (cos.f64 eps)))) eps)) eps)) |
(* -1 (pow (sin eps) 2)) |
(neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) |
(* -1 (pow (sin eps) 2)) |
(neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) |
(* -1 (pow (sin eps) 2)) |
(neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) |
(* -1 (pow (sin eps) 2)) |
(neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) |
(* 729/12544000000 (pow eps 12)) |
(*.f64 (pow.f64 eps #s(literal 12 binary64)) #s(literal 729/12544000000 binary64)) |
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2))))) |
(*.f64 (-.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal 729/156800000 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 12 binary64))) |
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 3159/15680000 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 729/12544000000 binary64)) (/.f64 #s(literal 729/156800000 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 12 binary64))) |
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6)))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 3159/15680000 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 729/12544000000 binary64)) (/.f64 #s(literal 729/156800000 binary64) (*.f64 eps eps))) (/.f64 #s(literal 243/56000 binary64) (pow.f64 eps #s(literal 6 binary64)))) (pow.f64 eps #s(literal 12 binary64))) |
(* 729/12544000000 (pow eps 12)) |
(*.f64 (pow.f64 eps #s(literal 12 binary64)) #s(literal 729/12544000000 binary64)) |
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2))))) |
(*.f64 (-.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal 729/156800000 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 12 binary64))) |
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 3159/15680000 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 729/12544000000 binary64)) (/.f64 #s(literal 729/156800000 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 12 binary64))) |
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 459/112000 (/ 1 (pow eps 6)))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 3159/15680000 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 729/12544000000 binary64)) (/.f64 #s(literal 729/156800000 binary64) (*.f64 eps eps))) (/.f64 #s(literal 459/112000 binary64) (pow.f64 eps #s(literal 6 binary64)))) (pow.f64 eps #s(literal 12 binary64))) |
(* 27/112000 (pow eps 2)) |
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) |
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) eps) eps) |
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) eps) eps) |
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) eps) eps) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) |
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps))) |
(+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) |
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps))) |
(+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) |
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps))) |
(/ eps (pow (sin eps) 2)) |
(/.f64 eps (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) |
(* eps (+ (/ 1 (* eps (sin eps))) (/ 1 (pow (sin eps) 2)))) |
(+.f64 (/.f64 eps (*.f64 (sin.f64 eps) eps)) (/.f64 eps (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) |
(* eps (+ (/ 1 (* eps (sin eps))) (/ 1 (pow (sin eps) 2)))) |
(+.f64 (/.f64 eps (*.f64 (sin.f64 eps) eps)) (/.f64 eps (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) |
(* eps (+ (/ 1 (* eps (sin eps))) (/ 1 (pow (sin eps) 2)))) |
(+.f64 (/.f64 eps (*.f64 (sin.f64 eps) eps)) (/.f64 eps (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 578 |
| 0 | 93 | 533 |
| 1 | 403 | 452 |
| 2 | 3534 | 452 |
| 0 | 8929 | 447 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)))) |
(-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (-.f64 eps (tan.f64 eps)) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps))) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (-.f64 eps (tan.f64 eps)))) |
(-.f64 (-.f64 eps (tan.f64 eps)) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps))) |
(-.f64 eps (tan.f64 eps)) |
(tan.f64 eps) |
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 eps) eps) eps) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps)) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) (/.f64 (+.f64 (sin.f64 eps) eps) eps))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 eps) eps) eps) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps)) |
(*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) (/.f64 (+.f64 (sin.f64 eps) eps) eps)) |
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 eps) eps) eps) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps)) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) (/.f64 (+.f64 (sin.f64 eps) eps) eps))) (-.f64 eps (tan.f64 eps))) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps) (*.f64 (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal 2 binary64))) |
(fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps) (*.f64 (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))) |
(/.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps) (*.f64 (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) |
(neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) |
(/.f64 (-.f64 eps (tan.f64 eps)) eps) |
(*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) |
| Outputs |
|---|
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 729/7840000 binary64) (*.f64 (*.f64 eps eps) #s(literal -729/313600000 binary64)))) (fma.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal -19683/21952000000 binary64)))) |
(/.f64 (fma.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal -19683/21952000000 binary64)) (+.f64 #s(literal 729/7840000 binary64) (-.f64 (*.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 (*.f64 eps eps) #s(literal -729/313600000 binary64))))) |
(/.f64 (fma.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal -19683/21952000000 binary64)) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 729/7840000 binary64) (*.f64 (*.f64 eps eps) #s(literal -729/313600000 binary64))))) |
(fma.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps #s(literal -27/2800 binary64)) |
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) |
(fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) |
(fma.f64 eps (*.f64 #s(literal 27/112000 binary64) eps) #s(literal -27/2800 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal 27/2800 binary64))) (/.f64 #s(literal 729/7840000 binary64) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal 27/2800 binary64)))) |
(+.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal -27/2800 binary64)) |
(+.f64 #s(literal -27/2800 binary64) (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps))) |
(*.f64 (pow.f64 (/.f64 eps (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 eps (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 eps #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 eps #s(literal -1 binary64)) (-.f64 eps (tan.f64 eps))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) eps)) |
(*.f64 (neg.f64 (-.f64 eps (tan.f64 eps))) (pow.f64 (neg.f64 eps) #s(literal -1 binary64))) |
(*.f64 (-.f64 eps (tan.f64 eps)) (pow.f64 eps #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal -1 binary64))) (+.f64 (tan.f64 eps) eps)) |
(/.f64 (*.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (pow.f64 eps #s(literal -1 binary64))) (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps))) |
(/.f64 (*.f64 (-.f64 eps (tan.f64 eps)) #s(literal 1 binary64)) eps) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (tan.f64 eps) eps) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (tan.f64 eps) eps))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (tan.f64 eps) eps) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (tan.f64 eps) eps) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 eps) eps))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 eps (tan.f64 eps)))) (neg.f64 (neg.f64 eps))) |
(/.f64 (*.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (tan.f64 eps) eps) eps)) |
(/.f64 (*.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) eps)) |
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (tan.f64 eps) eps)) (*.f64 eps eps)) |
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (*.f64 eps (+.f64 (tan.f64 eps) eps))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 eps (-.f64 eps (tan.f64 eps)))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (*.f64 eps (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)))) |
(/.f64 (neg.f64 (-.f64 eps (tan.f64 eps))) (neg.f64 eps)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))))) |
(/.f64 (-.f64 eps (tan.f64 eps)) eps) |
(neg.f64 (/.f64 (neg.f64 (-.f64 eps (tan.f64 eps))) eps)) |
(-.f64 #s(literal 1 binary64) (/.f64 (tan.f64 eps) eps)) |
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (tan.f64 eps) eps))) |
(exp.f64 (*.f64 (log.f64 (/.f64 eps (-.f64 eps (tan.f64 eps)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -1 binary64))) (pow.f64 (sin.f64 eps) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sin.f64 eps) #s(literal -1 binary64)) (*.f64 (pow.f64 (sin.f64 eps) #s(literal -1 binary64)) (+.f64 (sin.f64 eps) eps))) |
(*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) (+.f64 (sin.f64 eps) eps)) |
(*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) (-.f64 (sin.f64 eps) eps)) |
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) (fma.f64 eps (-.f64 eps (sin.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps))) (-.f64 (sin.f64 eps) eps)) |
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (fma.f64 eps (-.f64 eps (sin.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 eps)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (sin.f64 eps)) #s(literal -1 binary64)) (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps)) |
(fma.f64 (pow.f64 (sin.f64 eps) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 eps) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps)) |
(fma.f64 (pow.f64 (sin.f64 eps) #s(literal -1 binary64)) (*.f64 (pow.f64 (sin.f64 eps) #s(literal -1 binary64)) eps) (pow.f64 (sin.f64 eps) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) (sin.f64 eps) (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps)) |
(fma.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps (pow.f64 (sin.f64 eps) #s(literal -1 binary64))) |
(fma.f64 (sin.f64 eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps)) |
(fma.f64 eps (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) (pow.f64 (sin.f64 eps) #s(literal -1 binary64))) |
(+.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps) (pow.f64 (sin.f64 eps) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (sin.f64 eps) #s(literal -1 binary64)) (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps)) |
(exp.f64 (fma.f64 (log.f64 (sin.f64 eps)) #s(literal -2 binary64) (log.f64 (+.f64 (sin.f64 eps) eps)))) |
(exp.f64 (+.f64 (log.f64 (+.f64 (sin.f64 eps) eps)) (*.f64 (log.f64 (sin.f64 eps)) #s(literal -2 binary64)))) |
Compiled 86 632 to 4 870 computations (94.4% saved)
9 alts after pruning (4 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 423 | 4 | 1 427 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 1 | 4 |
| Done | 0 | 4 | 4 |
| Total | 1 426 | 9 | 1 435 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 2.1% | (/.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps) (*.f64 (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) |
| ▶ | 1.9% | (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 eps) eps) eps) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps)) #s(approx (* (* (+ (sin eps) eps) (pow (sin eps) -2)) (/ (+ (sin eps) eps) eps)) (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) eps (/.f64 eps (*.f64 eps eps))))) (-.f64 eps (tan.f64 eps))) |
| ▶ | 1.9% | (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps) (+.f64 (sin.f64 eps) eps)) (/.f64 (+.f64 (sin.f64 eps) eps) eps)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal 2 binary64))) eps) (-.f64 eps (tan.f64 eps)))) |
| ✓ | 100.0% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| ✓ | 99.8% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| ✓ | 99.5% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
| ▶ | 99.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))))) |
| ▶ | 99.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (-.f64 #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -2673/1960000 binary64) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))))) |
| ✓ | 98.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
Compiled 323 to 129 computations (60.1% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 eps) eps) eps) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps)) #s(approx (* (* (+ (sin eps) eps) (pow (sin eps) -2)) (/ (+ (sin eps) eps) eps)) (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) eps (/.f64 eps (*.f64 eps eps))))) | |
| cost-diff | 0 | (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 eps) eps) eps) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps)) #s(approx (* (* (+ (sin eps) eps) (pow (sin eps) -2)) (/ (+ (sin eps) eps) eps)) (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) eps (/.f64 eps (*.f64 eps eps))))) (-.f64 eps (tan.f64 eps))) | |
| cost-diff | 320 | (/.f64 eps (*.f64 eps eps)) | |
| cost-diff | 6912 | (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 eps) eps) eps) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps)) | |
| cost-diff | 0 | (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps) | |
| cost-diff | 0 | (*.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps) (+.f64 (sin.f64 eps) eps)) | |
| cost-diff | 6720 | (-.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps) (+.f64 (sin.f64 eps) eps)) (/.f64 (+.f64 (sin.f64 eps) eps) eps)) | |
| cost-diff | 19456 | (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps) (+.f64 (sin.f64 eps) eps)) (/.f64 (+.f64 (sin.f64 eps) eps) eps)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal 2 binary64))) eps) (-.f64 eps (tan.f64 eps)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))))) | |
| cost-diff | 2560 | (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) | |
| cost-diff | 4864 | (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -2673/1960000 binary64) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (-.f64 #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -2673/1960000 binary64) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))))) | |
| cost-diff | 128 | (-.f64 #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -2673/1960000 binary64) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) | |
| cost-diff | 1920 | (/.f64 (-.f64 #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -2673/1960000 binary64) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 86 | 1410 |
| 0 | 148 | 1407 |
| 1 | 301 | 1287 |
| 2 | 794 | 1177 |
| 3 | 4244 | 1137 |
| 0 | 8736 | 1129 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (-.f64 #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -2673/1960000 binary64) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -2673/1960000 binary64) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)))) |
(-.f64 #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -2673/1960000 binary64) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
#s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -2673/1960000 binary64) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -2673/1960000 binary64) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(fma.f64 (fma.f64 #s(literal -2673/1960000 binary64) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) |
(fma.f64 #s(literal -2673/1960000 binary64) (*.f64 eps eps) #s(literal 4131/448000 binary64)) |
#s(literal -2673/1960000 binary64) |
(*.f64 eps eps) |
eps |
#s(literal 4131/448000 binary64) |
#s(literal 81/3200 binary64) |
(pow.f64 eps #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) |
#s(literal 27/112000 binary64) |
#s(literal -27/2800 binary64) |
#s(literal 9/40 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1/4 binary64) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)))) |
(-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))) |
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) |
#s(literal 27/112000 binary64) |
(*.f64 eps eps) |
eps |
#s(literal -27/2800 binary64) |
#s(literal 9/40 binary64) |
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) |
(*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps) (+.f64 (sin.f64 eps) eps)) (/.f64 (+.f64 (sin.f64 eps) eps) eps)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal 2 binary64))) eps) (-.f64 eps (tan.f64 eps)))) |
(-.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps) (+.f64 (sin.f64 eps) eps)) (/.f64 (+.f64 (sin.f64 eps) eps) eps)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps) (+.f64 (sin.f64 eps) eps)) |
(*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps) |
(pow.f64 (sin.f64 eps) #s(literal -2 binary64)) |
(sin.f64 eps) |
eps |
#s(literal -2 binary64) |
(+.f64 (sin.f64 eps) eps) |
(/.f64 (+.f64 (sin.f64 eps) eps) eps) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal 2 binary64))) eps) (-.f64 eps (tan.f64 eps))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal 2 binary64))) eps) |
(*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal 2 binary64))) |
(pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 eps (tan.f64 eps)) |
(tan.f64 eps) |
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 eps) eps) eps) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps)) #s(approx (* (* (+ (sin eps) eps) (pow (sin eps) -2)) (/ (+ (sin eps) eps) eps)) (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) eps (/.f64 eps (*.f64 eps eps))))) (-.f64 eps (tan.f64 eps))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 eps) eps) eps) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps)) #s(approx (* (* (+ (sin eps) eps) (pow (sin eps) -2)) (/ (+ (sin eps) eps) eps)) (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) eps (/.f64 eps (*.f64 eps eps))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 eps) eps) eps) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps)) |
#s(literal -1 binary64) |
(/.f64 (+.f64 (sin.f64 eps) eps) eps) |
(+.f64 (sin.f64 eps) eps) |
(sin.f64 eps) |
eps |
(*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps) |
(*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) |
(pow.f64 (sin.f64 eps) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(approx (* (* (+ (sin eps) eps) (pow (sin eps) -2)) (/ (+ (sin eps) eps) eps)) (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) eps (/.f64 eps (*.f64 eps eps)))) |
(fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) eps (/.f64 eps (*.f64 eps eps))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) |
(/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) |
#s(literal 2 binary64) |
(*.f64 (sin.f64 eps) eps) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (sin.f64 eps) #s(literal 2 binary64)) |
(/.f64 eps (*.f64 eps eps)) |
(*.f64 eps eps) |
(-.f64 eps (tan.f64 eps)) |
(tan.f64 eps) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (-.f64 #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -2673/1960000 binary64) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (-.f64 (/.f64 #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2673/1960000 binary64) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -2673/1960000 binary64) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (/.f64 #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2673/1960000 binary64) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) |
(-.f64 #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -2673/1960000 binary64) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(fma.f64 #s(literal -1/4 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2673/1960000 binary64) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64))))) |
#s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -2673/1960000 binary64) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2673/1960000 binary64) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -2673/1960000 binary64) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2673/1960000 binary64) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64))) |
(fma.f64 (fma.f64 #s(literal -2673/1960000 binary64) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) |
(fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2673/1960000 binary64) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) |
(fma.f64 #s(literal -2673/1960000 binary64) (*.f64 eps eps) #s(literal 4131/448000 binary64)) |
(fma.f64 (*.f64 eps eps) #s(literal -2673/1960000 binary64) #s(literal 4131/448000 binary64)) |
#s(literal -2673/1960000 binary64) |
(*.f64 eps eps) |
eps |
#s(literal 4131/448000 binary64) |
#s(literal 81/3200 binary64) |
(pow.f64 eps #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) |
#s(literal 27/112000 binary64) |
#s(literal -27/2800 binary64) |
#s(literal 9/40 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1/4 binary64) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)))) |
(/.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64))) |
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) |
(fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) |
#s(literal 27/112000 binary64) |
(*.f64 eps eps) |
eps |
#s(literal -27/2800 binary64) |
#s(literal 9/40 binary64) |
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) |
(*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) |
(*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) |
#s(literal 1/4 binary64) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps) (+.f64 (sin.f64 eps) eps)) (/.f64 (+.f64 (sin.f64 eps) eps) eps)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal 2 binary64))) eps) (-.f64 eps (tan.f64 eps)))) |
(/.f64 (-.f64 (/.f64 eps (/.f64 (+.f64 (sin.f64 eps) eps) eps)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))))) (-.f64 eps (tan.f64 eps))) |
(-.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps) (+.f64 (sin.f64 eps) eps)) (/.f64 (+.f64 (sin.f64 eps) eps) eps)) |
(*.f64 (+.f64 (sin.f64 eps) eps) (fma.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps (/.f64 #s(literal -1 binary64) eps))) |
(*.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps) (+.f64 (sin.f64 eps) eps)) |
(*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps) |
(pow.f64 (sin.f64 eps) #s(literal -2 binary64)) |
(sin.f64 eps) |
eps |
#s(literal -2 binary64) |
(+.f64 (sin.f64 eps) eps) |
(/.f64 (+.f64 (sin.f64 eps) eps) eps) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal 2 binary64))) eps) (-.f64 eps (tan.f64 eps))) |
(*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (*.f64 (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64)))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal 2 binary64))) eps) |
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) |
(pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 eps (tan.f64 eps)) |
(tan.f64 eps) |
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 eps) eps) eps) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps)) #s(approx (* (* (+ (sin eps) eps) (pow (sin eps) -2)) (/ (+ (sin eps) eps) eps)) (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) eps (/.f64 eps (*.f64 eps eps))))) (-.f64 eps (tan.f64 eps))) |
(/.f64 (/.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (fma.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps (/.f64 #s(literal -1 binary64) eps))) (-.f64 eps (tan.f64 eps))) #s(approx (* (* (+ (sin eps) eps) (pow (sin eps) -2)) (/ (+ (sin eps) eps) eps)) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps))) eps (/.f64 #s(literal 1 binary64) eps)))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 eps) eps) eps) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps)) #s(approx (* (* (+ (sin eps) eps) (pow (sin eps) -2)) (/ (+ (sin eps) eps) eps)) (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) eps (/.f64 eps (*.f64 eps eps))))) |
(/.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (fma.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps (/.f64 #s(literal -1 binary64) eps))) #s(approx (* (* (+ (sin eps) eps) (pow (sin eps) -2)) (/ (+ (sin eps) eps) eps)) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps))) eps (/.f64 #s(literal 1 binary64) eps)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 eps) eps) eps) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps)) |
(*.f64 (+.f64 (sin.f64 eps) eps) (fma.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps (/.f64 #s(literal -1 binary64) eps))) |
#s(literal -1 binary64) |
(/.f64 (+.f64 (sin.f64 eps) eps) eps) |
(+.f64 (sin.f64 eps) eps) |
(sin.f64 eps) |
eps |
(*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps) |
(*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) |
(*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) |
(pow.f64 (sin.f64 eps) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(approx (* (* (+ (sin eps) eps) (pow (sin eps) -2)) (/ (+ (sin eps) eps) eps)) (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) eps (/.f64 eps (*.f64 eps eps)))) |
#s(approx (* (* (+ (sin eps) eps) (pow (sin eps) -2)) (/ (+ (sin eps) eps) eps)) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps))) eps (/.f64 #s(literal 1 binary64) eps))) |
(fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) eps (/.f64 eps (*.f64 eps eps))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps))) eps (/.f64 #s(literal 1 binary64) eps)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps))) |
(/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) |
#s(literal 2 binary64) |
(*.f64 (sin.f64 eps) eps) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (sin.f64 eps) #s(literal 2 binary64)) |
(/.f64 eps (*.f64 eps eps)) |
(/.f64 #s(literal 1 binary64) eps) |
(*.f64 eps eps) |
(-.f64 eps (tan.f64 eps)) |
(tan.f64 eps) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 30.066846094709206 | (/.f64 eps (*.f64 eps eps)) | |
| accuracy | 30.33178651390269 | (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) eps (/.f64 eps (*.f64 eps eps))) | |
| accuracy | 30.41498276033264 | (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) | |
| accuracy | 40.86264535541384 | (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 eps) eps) eps) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps)) #s(approx (* (* (+ (sin eps) eps) (pow (sin eps) -2)) (/ (+ (sin eps) eps) eps)) (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) eps (/.f64 eps (*.f64 eps eps))))) (-.f64 eps (tan.f64 eps))) | |
| accuracy | 29.093000581982313 | (-.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps) (+.f64 (sin.f64 eps) eps)) (/.f64 (+.f64 (sin.f64 eps) eps) eps)) | |
| accuracy | 30.419226673588106 | (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps) | |
| accuracy | 31.551370619055913 | (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps) (+.f64 (sin.f64 eps) eps)) (/.f64 (+.f64 (sin.f64 eps) eps) eps)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal 2 binary64))) eps) (-.f64 eps (tan.f64 eps)))) | |
| accuracy | 31.631724759309922 | (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal 2 binary64))) | |
| accuracy | 0.06640625 | (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))) | |
| accuracy | 0.10546875 | (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)) | |
| accuracy | 0.14453125 | (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) | |
| accuracy | 0.16796875 | (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) | |
| accuracy | 0.01953125 | (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) | |
| accuracy | 0.026788988262217078 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (-.f64 #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -2673/1960000 binary64) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))))) | |
| accuracy | 0.11166000976844202 | (*.f64 (fma.f64 (fma.f64 #s(literal -2673/1960000 binary64) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64))) | |
| accuracy | 0.14097526560080112 | #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -2673/1960000 binary64) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64)))) |
| 385.0ms | 131× | 2 | valid |
| 186.0ms | 40× | 3 | valid |
| 105.0ms | 81× | 1 | valid |
| 2.0ms | 4× | 0 | valid |
Compiled 1 207 to 78 computations (93.5% saved)
ival-tan: 122.0ms (20.9% of total)ival-sin: 117.0ms (20.1% of total)ival-mult: 109.0ms (18.7% of total)adjust: 82.0ms (14.1% of total)ival-div: 41.0ms (7% of total)const: 34.0ms (5.8% of total)ival-add: 29.0ms (5% of total)ival-pow2: 18.0ms (3.1% of total)ival-sub: 17.0ms (2.9% of total)ival-pow: 13.0ms (2.2% of total)exact: 1.0ms (0.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
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#s(alt (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 eps) eps) eps) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps)) #s(approx (* (* (+ (sin eps) eps) (pow (sin eps) -2)) (/ (+ (sin eps) eps) eps)) (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) eps (/.f64 eps (*.f64 eps eps))))) (patch (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 eps) eps) eps) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps)) #s(approx (* (* (+ (sin eps) eps) (pow (sin eps) -2)) (/ (+ (sin eps) eps) eps)) (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) eps (/.f64 eps (*.f64 eps eps))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal -2673/1960000 binary64) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64))) (patch (*.f64 (fma.f64 (fma.f64 #s(literal -2673/1960000 binary64) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)) (patch (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal 2 binary64))) (patch (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) (patch (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) eps (/.f64 eps (*.f64 eps eps))) (patch (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) eps (/.f64 eps (*.f64 eps eps))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt -1/2 (taylor 0 eps) (#s(alt (/.f64 (-.f64 #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -2673/1960000 binary64) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)))) (patch (/.f64 (-.f64 #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -2673/1960000 binary64) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 9/40 (pow eps 2)) 1/2) (taylor 0 eps) (#s(alt (/.f64 (-.f64 #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -2673/1960000 binary64) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)))) (patch (/.f64 (-.f64 #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -2673/1960000 binary64) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) (taylor 0 eps) (#s(alt (/.f64 (-.f64 #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -2673/1960000 binary64) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)))) (patch (/.f64 (-.f64 #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -2673/1960000 binary64) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) (taylor 0 eps) (#s(alt (/.f64 (-.f64 #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -2673/1960000 binary64) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)))) (patch (/.f64 (-.f64 #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -2673/1960000 binary64) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | eps | @ | -inf | ((/ (- (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (* (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) 1/4)) (* (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2))) (- (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (* (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) 1/4)) (/ (- eps (sin eps)) (- eps (tan eps))) (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (/ (- (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* (* eps eps) (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps))) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (* (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) 1/4)) (* (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2))) (- (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* (* eps eps) (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps))) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (* (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) 1/4)) (/ (- eps (sin eps)) (- eps (tan eps))) (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* (* eps eps) (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps))) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (/ (- (* (* (pow (sin eps) -2) eps) (+ (sin eps) eps)) (/ (+ (sin eps) eps) eps)) (* (/ (* (pow (sin eps) -2) (pow (+ (sin eps) eps) 2)) eps) (- eps (tan eps)))) (- (* (* (pow (sin eps) -2) eps) (+ (sin eps) eps)) (/ (+ (sin eps) eps) eps)) (* (* (pow (sin eps) -2) eps) (+ (sin eps) eps)) (* (pow (sin eps) -2) eps) (+ (* -1 (/ (+ (sin eps) eps) eps)) (* (* (+ (sin eps) eps) (pow (sin eps) -2)) eps)) (/ eps (* eps eps)) (/ (/ (+ (* -1 (/ (+ (sin eps) eps) eps)) (* (* (+ (sin eps) eps) (pow (sin eps) -2)) eps)) (* (* (+ (sin eps) eps) (pow (sin eps) -2)) (/ (+ (sin eps) eps) eps))) (- eps (tan eps))) (/ (+ (* -1 (/ (+ (sin eps) eps) eps)) (* (* (+ (sin eps) eps) (pow (sin eps) -2)) eps)) (* (* (+ (sin eps) eps) (pow (sin eps) -2)) (/ (+ (sin eps) eps) eps))) (* (+ (* (+ (* -2673/1960000 (* eps eps)) 4131/448000) (* eps eps)) 81/3200) (pow eps 4)) (* (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) (* (* eps eps) (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps)) (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* (* eps eps) (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps))) (* (pow (sin eps) -2) (pow (+ (sin eps) eps) 2)) (* (+ (sin eps) eps) (pow (sin eps) -2)) (+ (* (+ (/ 2 (* (sin eps) eps)) (/ 1 (pow (sin eps) 2))) eps) (/ eps (* eps eps)))) |
| 4.0ms | eps | @ | inf | ((/ (- (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (* (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) 1/4)) (* (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2))) (- (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (* (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) 1/4)) (/ (- eps (sin eps)) (- eps (tan eps))) (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (/ (- (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* (* eps eps) (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps))) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (* (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) 1/4)) (* (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2))) (- (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* (* eps eps) (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps))) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (* (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) 1/4)) (/ (- eps (sin eps)) (- eps (tan eps))) (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* (* eps eps) (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps))) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (/ (- (* (* (pow (sin eps) -2) eps) (+ (sin eps) eps)) (/ (+ (sin eps) eps) eps)) (* (/ (* (pow (sin eps) -2) (pow (+ (sin eps) eps) 2)) eps) (- eps (tan eps)))) (- (* (* (pow (sin eps) -2) eps) (+ (sin eps) eps)) (/ (+ (sin eps) eps) eps)) (* (* (pow (sin eps) -2) eps) (+ (sin eps) eps)) (* (pow (sin eps) -2) eps) (+ (* -1 (/ (+ (sin eps) eps) eps)) (* (* (+ (sin eps) eps) (pow (sin eps) -2)) eps)) (/ eps (* eps eps)) (/ (/ (+ (* -1 (/ (+ (sin eps) eps) eps)) (* (* (+ (sin eps) eps) (pow (sin eps) -2)) eps)) (* (* (+ (sin eps) eps) (pow (sin eps) -2)) (/ (+ (sin eps) eps) eps))) (- eps (tan eps))) (/ (+ (* -1 (/ (+ (sin eps) eps) eps)) (* (* (+ (sin eps) eps) (pow (sin eps) -2)) eps)) (* (* (+ (sin eps) eps) (pow (sin eps) -2)) (/ (+ (sin eps) eps) eps))) (* (+ (* (+ (* -2673/1960000 (* eps eps)) 4131/448000) (* eps eps)) 81/3200) (pow eps 4)) (* (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) (* (* eps eps) (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps)) (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* (* eps eps) (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps))) (* (pow (sin eps) -2) (pow (+ (sin eps) eps) 2)) (* (+ (sin eps) eps) (pow (sin eps) -2)) (+ (* (+ (/ 2 (* (sin eps) eps)) (/ 1 (pow (sin eps) 2))) eps) (/ eps (* eps eps)))) |
| 3.0ms | eps | @ | 0 | ((/ (- (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (* (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) 1/4)) (* (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2))) (- (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (* (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) 1/4)) (/ (- eps (sin eps)) (- eps (tan eps))) (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (/ (- (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* (* eps eps) (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps))) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (* (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) 1/4)) (* (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2))) (- (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* (* eps eps) (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps))) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (* (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) 1/4)) (/ (- eps (sin eps)) (- eps (tan eps))) (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* (* eps eps) (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps))) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (/ (- (* (* (pow (sin eps) -2) eps) (+ (sin eps) eps)) (/ (+ (sin eps) eps) eps)) (* (/ (* (pow (sin eps) -2) (pow (+ (sin eps) eps) 2)) eps) (- eps (tan eps)))) (- (* (* (pow (sin eps) -2) eps) (+ (sin eps) eps)) (/ (+ (sin eps) eps) eps)) (* (* (pow (sin eps) -2) eps) (+ (sin eps) eps)) (* (pow (sin eps) -2) eps) (+ (* -1 (/ (+ (sin eps) eps) eps)) (* (* (+ (sin eps) eps) (pow (sin eps) -2)) eps)) (/ eps (* eps eps)) (/ (/ (+ (* -1 (/ (+ (sin eps) eps) eps)) (* (* (+ (sin eps) eps) (pow (sin eps) -2)) eps)) (* (* (+ (sin eps) eps) (pow (sin eps) -2)) (/ (+ (sin eps) eps) eps))) (- eps (tan eps))) (/ (+ (* -1 (/ (+ (sin eps) eps) eps)) (* (* (+ (sin eps) eps) (pow (sin eps) -2)) eps)) (* (* (+ (sin eps) eps) (pow (sin eps) -2)) (/ (+ (sin eps) eps) eps))) (* (+ (* (+ (* -2673/1960000 (* eps eps)) 4131/448000) (* eps eps)) 81/3200) (pow eps 4)) (* (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) (* (* eps eps) (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps)) (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* (* eps eps) (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps))) (* (pow (sin eps) -2) (pow (+ (sin eps) eps) 2)) (* (+ (sin eps) eps) (pow (sin eps) -2)) (+ (* (+ (/ 2 (* (sin eps) eps)) (/ 1 (pow (sin eps) 2))) eps) (/ eps (* eps eps)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 527 | 5127 |
| 1 | 1575 | 4844 |
| 2 | 5207 | 4606 |
| 0 | 8297 | 4408 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1/2 |
(- (* 9/40 (pow eps 2)) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
-1/8 |
(- (* -9/160 (pow eps 2)) 1/8) |
(- (* (pow eps 2) (- (* 621/22400 (pow eps 2)) 9/160)) 1/8) |
(- (* (pow eps 2) (- (* (pow eps 2) (+ 621/22400 (* 513/56000 (pow eps 2)))) 9/160)) 1/8) |
-1/2 |
(- (* 9/40 (pow eps 2)) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(* 81/3200 (pow eps 4)) |
(* (pow eps 4) (+ 81/3200 (* 4131/448000 (pow eps 2)))) |
(* (pow eps 4) (+ 81/3200 (* (pow eps 2) (+ 4131/448000 (* -2673/1960000 (pow eps 2)))))) |
(* (pow eps 4) (+ 81/3200 (* (pow eps 2) (+ 4131/448000 (* (pow eps 2) (- (* 121743/1254400000 (pow eps 2)) 2673/1960000)))))) |
-1/2 |
(- (* 9/40 (pow eps 2)) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
-1/8 |
(- (* -9/160 (pow eps 2)) 1/8) |
(- (* (pow eps 2) (- (* 621/22400 (pow eps 2)) 9/160)) 1/8) |
(- (* (pow eps 2) (- (* (pow eps 2) (+ 621/22400 (* 513/56000 (pow eps 2)))) 9/160)) 1/8) |
-1/2 |
(- (* 9/40 (pow eps 2)) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(* 81/3200 (pow eps 4)) |
(* (pow eps 4) (+ 81/3200 (* 4131/448000 (pow eps 2)))) |
(* (pow eps 4) (+ 81/3200 (* (pow eps 2) (+ 4131/448000 (* -2673/1960000 (pow eps 2)))))) |
(* (pow eps 4) (+ 81/3200 (* (pow eps 2) (+ 4131/448000 (* (pow eps 2) (- (* 121743/1254400000 (pow eps 2)) 2673/1960000)))))) |
-1/2 |
(- (* 9/40 (pow eps 2)) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(* 2/3 (pow eps 2)) |
(* (pow eps 2) (+ 2/3 (* 7/90 (pow eps 2)))) |
(* (pow eps 2) (+ 2/3 (* (pow eps 2) (+ 7/90 (* 97/7560 (pow eps 2)))))) |
(* (pow eps 2) (+ 2/3 (* (pow eps 2) (+ 7/90 (* (pow eps 2) (+ 97/7560 (* 383/226800 (pow eps 2)))))))) |
2 |
(+ 2 (* 1/2 (pow eps 2))) |
(+ 2 (* (pow eps 2) (+ 1/2 (* 31/360 (pow eps 2))))) |
(+ 2 (* (pow eps 2) (+ 1/2 (* (pow eps 2) (+ 31/360 (* 191/15120 (pow eps 2))))))) |
(/ 1 eps) |
(/ (+ 1 (* 1/3 (pow eps 2))) eps) |
(/ (+ 1 (* (pow eps 2) (+ 1/3 (* 1/15 (pow eps 2))))) eps) |
(/ (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 1/15 (* 2/189 (pow eps 2))))))) eps) |
(* 2/3 (pow eps 2)) |
(* (pow eps 2) (+ 2/3 (* 7/90 (pow eps 2)))) |
(* (pow eps 2) (+ 2/3 (* (pow eps 2) (+ 7/90 (* 97/7560 (pow eps 2)))))) |
(* (pow eps 2) (+ 2/3 (* (pow eps 2) (+ 7/90 (* (pow eps 2) (+ 97/7560 (* 383/226800 (pow eps 2)))))))) |
(/ 1 eps) |
(/ 1 eps) |
(/ 1 eps) |
(/ 1 eps) |
-1/2 |
(- (* 9/40 (pow eps 2)) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(* 1/6 (pow eps 3)) |
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) |
(* 81/3200 (pow eps 4)) |
(* (pow eps 4) (+ 81/3200 (* 4131/448000 (pow eps 2)))) |
(* (pow eps 4) (+ 81/3200 (* (pow eps 2) (+ 4131/448000 (* -2673/1960000 (pow eps 2)))))) |
(* (pow eps 4) (+ 81/3200 (* (pow eps 2) (+ 4131/448000 (* -2673/1960000 (pow eps 2)))))) |
1/4 |
(+ 1/4 (* 9/40 (pow eps 2))) |
(+ 1/4 (* (pow eps 2) (+ 9/40 (* 459/11200 (pow eps 2))))) |
(+ 1/4 (* (pow eps 2) (+ 9/40 (* (pow eps 2) (+ 459/11200 (* -459/112000 (pow eps 2))))))) |
(* 9/40 eps) |
(* eps (+ 9/40 (* -27/2800 (pow eps 2)))) |
(* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) |
(* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) |
(* 9/40 (pow eps 2)) |
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) |
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) |
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) |
(* 9/40 (pow eps 4)) |
(* (pow eps 4) (+ 9/40 (* -27/2800 (pow eps 2)))) |
(* (pow eps 4) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) |
(* (pow eps 4) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) |
(* 81/1600 (pow eps 4)) |
(* (pow eps 4) (+ 81/1600 (* -243/56000 (pow eps 2)))) |
(* (pow eps 4) (+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000)))) |
(* (pow eps 4) (+ 81/1600 (* (pow eps 2) (- (* (pow eps 2) (+ 3159/15680000 (* -729/156800000 (pow eps 2)))) 243/56000)))) |
4 |
(+ 4 (* 2/3 (pow eps 2))) |
(+ 4 (* (pow eps 2) (+ 2/3 (* 19/180 (pow eps 2))))) |
(+ 4 (* (pow eps 2) (+ 2/3 (* (pow eps 2) (+ 19/180 (* 37/2520 (pow eps 2))))))) |
(/ 2 eps) |
(/ (+ 2 (* 1/2 (pow eps 2))) eps) |
(/ (+ 2 (* (pow eps 2) (+ 1/2 (* 31/360 (pow eps 2))))) eps) |
(/ (+ 2 (* (pow eps 2) (+ 1/2 (* (pow eps 2) (+ 31/360 (* 191/15120 (pow eps 2))))))) eps) |
(/ 4 eps) |
(/ (+ 4 (* 2/3 (pow eps 2))) eps) |
(/ (+ 4 (* (pow eps 2) (+ 2/3 (* 19/180 (pow eps 2))))) eps) |
(/ (+ 4 (* (pow eps 2) (+ 2/3 (* (pow eps 2) (+ 19/180 (* 37/2520 (pow eps 2))))))) eps) |
(* 27/112000 (pow eps 6)) |
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))) |
(* 19683/1404928000000000 (pow eps 18)) |
(* (pow eps 18) (- 19683/1404928000000000 (* 59049/35123200000000 (/ 1 (pow eps 2))))) |
(* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (* 59049/35123200000000 (/ 1 (pow eps 2))))) |
(* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (+ (* 59049/35123200000000 (/ 1 (pow eps 2))) (* 140697/35123200000 (/ 1 (pow eps 6)))))) |
1 |
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) |
(* 19683/1404928000000000 (pow eps 18)) |
(* (pow eps 18) (- 19683/1404928000000000 (* 59049/35123200000000 (/ 1 (pow eps 2))))) |
(* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (* 59049/35123200000000 (/ 1 (pow eps 2))))) |
(* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (+ (* 59049/35123200000000 (/ 1 (pow eps 2))) (* 140697/35123200000 (/ 1 (pow eps 6)))))) |
(* 27/112000 (pow eps 6)) |
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))) |
(* 19683/1404928000000000 (pow eps 18)) |
(* (pow eps 18) (- 19683/1404928000000000 (* 59049/35123200000000 (/ 1 (pow eps 2))))) |
(* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (* 59049/35123200000000 (/ 1 (pow eps 2))))) |
(* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (+ (* 59049/35123200000000 (/ 1 (pow eps 2))) (* 140697/35123200000 (/ 1 (pow eps 6)))))) |
1 |
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) |
(* 19683/1404928000000000 (pow eps 18)) |
(* (pow eps 18) (- 19683/1404928000000000 (* 59049/35123200000000 (/ 1 (pow eps 2))))) |
(* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (* 59049/35123200000000 (/ 1 (pow eps 2))))) |
(* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (+ (* 59049/35123200000000 (/ 1 (pow eps 2))) (* 140697/35123200000 (/ 1 (pow eps 6)))))) |
1 |
(- (+ 1 (/ (sin eps) eps)) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* 2 (/ (sin eps) eps)))) |
(- (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (/ (sin eps) eps))) (+ (* -2 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* 2 (/ (sin eps) eps)) (+ (/ (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) (pow eps 2)) (/ (pow (sin eps) 2) (pow eps 2))))))) |
(- (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ (* -1 (/ (pow (sin eps) 3) (pow eps 3))) (/ (sin eps) eps)))) (+ (* -2 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (cos eps)))) (+ (* 2 (/ (sin eps) eps)) (+ (/ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (pow (sin eps) 2)) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) (pow eps 3)) (+ (/ (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) (pow eps 2)) (+ (/ (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (* -1 (pow (sin eps) 2)) (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) (pow (sin eps) 2))))) (pow eps 3)) (/ (pow (sin eps) 2) (pow eps 2)))))))))) |
(/ (pow eps 2) (pow (sin eps) 2)) |
(* (pow eps 2) (+ (/ 1 (* eps (sin eps))) (/ 1 (pow (sin eps) 2)))) |
(* (pow eps 2) (- (+ (/ 1 (* eps (sin eps))) (/ 1 (pow (sin eps) 2))) (/ 1 (pow eps 2)))) |
(* (pow eps 2) (- (+ (* -1 (/ (sin eps) (pow eps 3))) (+ (/ 1 (* eps (sin eps))) (/ 1 (pow (sin eps) 2)))) (/ 1 (pow eps 2)))) |
(/ (pow eps 2) (pow (sin eps) 2)) |
(* (pow eps 2) (+ (/ 1 (* eps (sin eps))) (/ 1 (pow (sin eps) 2)))) |
(* (pow eps 2) (+ (/ 1 (* eps (sin eps))) (/ 1 (pow (sin eps) 2)))) |
(* (pow eps 2) (+ (/ 1 (* eps (sin eps))) (/ 1 (pow (sin eps) 2)))) |
(/ eps (pow (sin eps) 2)) |
(/ eps (pow (sin eps) 2)) |
(/ eps (pow (sin eps) 2)) |
(/ eps (pow (sin eps) 2)) |
(/ (pow eps 2) (pow (sin eps) 2)) |
(* (pow eps 2) (+ (/ 1 (* eps (sin eps))) (/ 1 (pow (sin eps) 2)))) |
(* (pow eps 2) (- (+ (/ 1 (* eps (sin eps))) (/ 1 (pow (sin eps) 2))) (/ 1 (pow eps 2)))) |
(* (pow eps 2) (- (+ (* -1 (/ (sin eps) (pow eps 3))) (+ (/ 1 (* eps (sin eps))) (/ 1 (pow (sin eps) 2)))) (/ 1 (pow eps 2)))) |
(/ 1 eps) |
(/ 1 eps) |
(/ 1 eps) |
(/ 1 eps) |
1 |
(- (+ 1 (/ (sin eps) eps)) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* 2 (/ (sin eps) eps)))) |
(- (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (/ (sin eps) eps))) (+ (* -2 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* 2 (/ (sin eps) eps)) (+ (/ (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) (pow eps 2)) (/ (pow (sin eps) 2) (pow eps 2))))))) |
(- (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ (* -1 (/ (pow (sin eps) 3) (pow eps 3))) (/ (sin eps) eps)))) (+ (* -2 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (cos eps)))) (+ (* 2 (/ (sin eps) eps)) (+ (/ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (pow (sin eps) 2)) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) (pow eps 3)) (+ (/ (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) (pow eps 2)) (+ (/ (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (* -1 (pow (sin eps) 2)) (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) (pow (sin eps) 2))))) (pow eps 3)) (/ (pow (sin eps) 2) (pow eps 2)))))))))) |
eps |
(* eps (- (+ 1 (/ (sin eps) eps)) (* 2 (/ (sin eps) eps)))) |
(* eps (- (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (/ (sin eps) eps))) (+ (* 2 (/ (sin eps) eps)) (+ (* 2 (/ (* (sin eps) (- (sin eps) (* 2 (sin eps)))) (pow eps 2))) (/ (pow (sin eps) 2) (pow eps 2)))))) |
(* eps (- (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ (* -1 (/ (pow (sin eps) 3) (pow eps 3))) (/ (sin eps) eps)))) (+ (* 2 (/ (sin eps) eps)) (+ (* 2 (/ (* (sin eps) (- (sin eps) (* 2 (sin eps)))) (pow eps 2))) (+ (* 2 (/ (* (sin eps) (- (* -1 (pow (sin eps) 2)) (+ (* 2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (pow (sin eps) 2)))) (pow eps 3))) (+ (/ (* (pow (sin eps) 2) (- (sin eps) (* 2 (sin eps)))) (pow eps 3)) (/ (pow (sin eps) 2) (pow eps 2)))))))) |
(* -2673/1960000 (pow eps 8)) |
(* (pow eps 8) (- (* 4131/448000 (/ 1 (pow eps 2))) 2673/1960000)) |
(* (pow eps 8) (- (+ (/ 81/3200 (pow eps 4)) (* 4131/448000 (/ 1 (pow eps 2)))) 2673/1960000)) |
(* (pow eps 8) (- (+ (/ 81/3200 (pow eps 4)) (* 4131/448000 (/ 1 (pow eps 2)))) 2673/1960000)) |
(* 729/12544000000 (pow eps 12)) |
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2))))) |
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2))))) |
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 459/112000 (/ 1 (pow eps 6)))))) |
(* 27/112000 (pow eps 5)) |
(* (pow eps 5) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(* 27/112000 (pow eps 6)) |
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(* 27/112000 (pow eps 8)) |
(* (pow eps 8) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 8) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 8) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(* 729/12544000000 (pow eps 12)) |
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2))))) |
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2))))) |
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6)))))) |
(/ (pow eps 2) (pow (sin eps) 2)) |
(* (pow eps 2) (+ (* 2 (/ 1 (* eps (sin eps)))) (/ 1 (pow (sin eps) 2)))) |
(* (pow eps 2) (+ (/ 1 (pow eps 2)) (+ (/ 1 (pow (sin eps) 2)) (/ 2 (* eps (sin eps)))))) |
(* (pow eps 2) (+ (/ 1 (pow eps 2)) (+ (/ 1 (pow (sin eps) 2)) (/ 2 (* eps (sin eps)))))) |
(/ eps (pow (sin eps) 2)) |
(* eps (+ (/ 1 (* eps (sin eps))) (/ 1 (pow (sin eps) 2)))) |
(* eps (+ (/ 1 (* eps (sin eps))) (/ 1 (pow (sin eps) 2)))) |
(* eps (+ (/ 1 (* eps (sin eps))) (/ 1 (pow (sin eps) 2)))) |
(/ eps (pow (sin eps) 2)) |
(* eps (+ (* 2 (/ 1 (* eps (sin eps)))) (/ 1 (pow (sin eps) 2)))) |
(* eps (+ (/ 1 (pow eps 2)) (+ (/ 1 (pow (sin eps) 2)) (/ 2 (* eps (sin eps)))))) |
(* eps (+ (/ 1 (pow eps 2)) (+ (/ 1 (pow (sin eps) 2)) (/ 2 (* eps (sin eps)))))) |
(* 27/112000 (pow eps 6)) |
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))) |
(* 19683/1404928000000000 (pow eps 18)) |
(* (pow eps 18) (- 19683/1404928000000000 (* 59049/35123200000000 (/ 1 (pow eps 2))))) |
(* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (* 59049/35123200000000 (/ 1 (pow eps 2))))) |
(* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (+ (* 59049/35123200000000 (/ 1 (pow eps 2))) (* 140697/35123200000 (/ 1 (pow eps 6)))))) |
1 |
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps))) |
(* 19683/1404928000000000 (pow eps 18)) |
(* (pow eps 18) (- 19683/1404928000000000 (* 59049/35123200000000 (/ 1 (pow eps 2))))) |
(* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (* 59049/35123200000000 (/ 1 (pow eps 2))))) |
(* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (+ (* 59049/35123200000000 (/ 1 (pow eps 2))) (* 140697/35123200000 (/ 1 (pow eps 6)))))) |
(* 27/112000 (pow eps 6)) |
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))) |
(* 19683/1404928000000000 (pow eps 18)) |
(* (pow eps 18) (- 19683/1404928000000000 (* 59049/35123200000000 (/ 1 (pow eps 2))))) |
(* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (* 59049/35123200000000 (/ 1 (pow eps 2))))) |
(* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (+ (* 59049/35123200000000 (/ 1 (pow eps 2))) (* 140697/35123200000 (/ 1 (pow eps 6)))))) |
1 |
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps))) |
(* 19683/1404928000000000 (pow eps 18)) |
(* (pow eps 18) (- 19683/1404928000000000 (* 59049/35123200000000 (/ 1 (pow eps 2))))) |
(* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (* 59049/35123200000000 (/ 1 (pow eps 2))))) |
(* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (+ (* 59049/35123200000000 (/ 1 (pow eps 2))) (* 140697/35123200000 (/ 1 (pow eps 6)))))) |
1 |
(+ 1 (* -1 (/ (- (* -1 (sin eps)) (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))) eps))) |
(+ 1 (* -1 (/ (- (+ (* -1 (sin eps)) (* -1 (/ (- (* -1 (pow (sin eps) 2)) (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (* -1 (sin eps)) (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))) (pow (sin eps) 2)))) eps))) (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))) eps))) |
(+ 1 (* -1 (/ (- (+ (* -1 (sin eps)) (* -1 (/ (- (+ (* -1 (/ (- (pow (sin eps) 3) (+ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (* -1 (pow (sin eps) 2)) (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (* -1 (sin eps)) (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))) (pow (sin eps) 2))))) (+ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (pow (sin eps) 2)) (- (* -1 (sin eps)) (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))) (/ (pow (sin eps) 3) (cos eps))))) eps)) (* -1 (pow (sin eps) 2))) (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (* -1 (sin eps)) (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))) (pow (sin eps) 2)))) eps))) (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))) eps))) |
(/ (pow eps 2) (pow (sin eps) 2)) |
(* (pow eps 2) (+ (/ 1 (* eps (sin eps))) (/ 1 (pow (sin eps) 2)))) |
(* (pow eps 2) (+ (* -1 (/ (- (/ 1 eps) (/ 1 (sin eps))) eps)) (/ 1 (pow (sin eps) 2)))) |
(* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin eps) eps)) 1) eps)) (/ 1 (sin eps))) eps)) (/ 1 (pow (sin eps) 2)))) |
(/ (pow eps 2) (pow (sin eps) 2)) |
(* (pow eps 2) (+ (/ 1 (* eps (sin eps))) (/ 1 (pow (sin eps) 2)))) |
(* (pow eps 2) (+ (/ 1 (* eps (sin eps))) (/ 1 (pow (sin eps) 2)))) |
(* (pow eps 2) (+ (/ 1 (* eps (sin eps))) (/ 1 (pow (sin eps) 2)))) |
(/ eps (pow (sin eps) 2)) |
(/ eps (pow (sin eps) 2)) |
(/ eps (pow (sin eps) 2)) |
(/ eps (pow (sin eps) 2)) |
(/ (pow eps 2) (pow (sin eps) 2)) |
(* (pow eps 2) (+ (/ 1 (* eps (sin eps))) (/ 1 (pow (sin eps) 2)))) |
(* (pow eps 2) (+ (* -1 (/ (- (/ 1 eps) (/ 1 (sin eps))) eps)) (/ 1 (pow (sin eps) 2)))) |
(* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin eps) eps)) 1) eps)) (/ 1 (sin eps))) eps)) (/ 1 (pow (sin eps) 2)))) |
(/ 1 eps) |
(/ 1 eps) |
(/ 1 eps) |
(/ 1 eps) |
1 |
(+ 1 (* -1 (/ (- (* -1 (sin eps)) (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))) eps))) |
(+ 1 (* -1 (/ (- (+ (* -1 (sin eps)) (* -1 (/ (- (* -1 (pow (sin eps) 2)) (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (* -1 (sin eps)) (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))) (pow (sin eps) 2)))) eps))) (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))) eps))) |
(+ 1 (* -1 (/ (- (+ (* -1 (sin eps)) (* -1 (/ (- (+ (* -1 (/ (- (pow (sin eps) 3) (+ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (* -1 (pow (sin eps) 2)) (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (* -1 (sin eps)) (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))) (pow (sin eps) 2))))) (+ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (pow (sin eps) 2)) (- (* -1 (sin eps)) (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))) (/ (pow (sin eps) 3) (cos eps))))) eps)) (* -1 (pow (sin eps) 2))) (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (* -1 (sin eps)) (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))) (pow (sin eps) 2)))) eps))) (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))) eps))) |
eps |
(* -1 (* eps (- (* -1 (/ (sin eps) eps)) (+ 1 (* -2 (/ (sin eps) eps)))))) |
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (- (* -1 (sin eps)) (* -2 (sin eps)))) (* -1 (/ (pow (sin eps) 2) eps))) (+ (* -2 (/ (* (sin eps) (- (* -1 (sin eps)) (* -2 (sin eps)))) eps)) (/ (pow (sin eps) 2) eps))) eps)) 1))) |
(* -1 (* eps (- (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -2 (sin eps)))) (* -1 (/ (- (+ (* -1 (- (* -1 (pow (sin eps) 2)) (+ (* -2 (* (sin eps) (- (* -1 (sin eps)) (* -2 (sin eps))))) (pow (sin eps) 2)))) (/ (pow (sin eps) 3) eps)) (+ (* -2 (/ (* (sin eps) (- (* -1 (pow (sin eps) 2)) (+ (* -2 (* (sin eps) (- (* -1 (sin eps)) (* -2 (sin eps))))) (pow (sin eps) 2)))) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -2 (sin eps)))) eps))) eps))) eps)) 1))) |
(* -2673/1960000 (pow eps 8)) |
(* (pow eps 8) (- (* 4131/448000 (/ 1 (pow eps 2))) 2673/1960000)) |
(* (pow eps 8) (- (+ (/ 81/3200 (pow eps 4)) (* 4131/448000 (/ 1 (pow eps 2)))) 2673/1960000)) |
(* (pow eps 8) (- (+ (/ 81/3200 (pow eps 4)) (* 4131/448000 (/ 1 (pow eps 2)))) 2673/1960000)) |
(* 729/12544000000 (pow eps 12)) |
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2))))) |
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2))))) |
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 459/112000 (/ 1 (pow eps 6)))))) |
(* 27/112000 (pow eps 5)) |
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000))) |
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4)))))) |
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4)))))) |
(* 27/112000 (pow eps 6)) |
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(* 27/112000 (pow eps 8)) |
(* (pow eps 8) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 8) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 8) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(* 729/12544000000 (pow eps 12)) |
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2))))) |
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2))))) |
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6)))))) |
(/ (pow eps 2) (pow (sin eps) 2)) |
(* (pow eps 2) (+ (* 2 (/ 1 (* eps (sin eps)))) (/ 1 (pow (sin eps) 2)))) |
(* (pow eps 2) (+ (/ 1 (pow eps 2)) (+ (/ 1 (pow (sin eps) 2)) (/ 2 (* eps (sin eps)))))) |
(* (pow eps 2) (+ (/ 1 (pow eps 2)) (+ (/ 1 (pow (sin eps) 2)) (/ 2 (* eps (sin eps)))))) |
(/ eps (pow (sin eps) 2)) |
(* eps (+ (/ 1 (* eps (sin eps))) (/ 1 (pow (sin eps) 2)))) |
(* eps (+ (/ 1 (* eps (sin eps))) (/ 1 (pow (sin eps) 2)))) |
(* eps (+ (/ 1 (* eps (sin eps))) (/ 1 (pow (sin eps) 2)))) |
(/ eps (pow (sin eps) 2)) |
(* eps (+ (* 2 (/ 1 (* eps (sin eps)))) (/ 1 (pow (sin eps) 2)))) |
(* -1 (* eps (- (* -1 (/ (+ (/ 1 eps) (* 2 (/ 1 (sin eps)))) eps)) (/ 1 (pow (sin eps) 2))))) |
(* -1 (* eps (- (* -1 (/ (+ (/ 1 eps) (* 2 (/ 1 (sin eps)))) eps)) (/ 1 (pow (sin eps) 2))))) |
| Outputs |
|---|
-1/2 |
#s(literal -1/2 binary64) |
(- (* 9/40 (pow eps 2)) 1/2) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
-1/8 |
#s(literal -1/8 binary64) |
(- (* -9/160 (pow eps 2)) 1/8) |
(fma.f64 #s(literal -9/160 binary64) (*.f64 eps eps) #s(literal -1/8 binary64)) |
(- (* (pow eps 2) (- (* 621/22400 (pow eps 2)) 9/160)) 1/8) |
(fma.f64 (fma.f64 #s(literal 621/22400 binary64) (*.f64 eps eps) #s(literal -9/160 binary64)) (*.f64 eps eps) #s(literal -1/8 binary64)) |
(- (* (pow eps 2) (- (* (pow eps 2) (+ 621/22400 (* 513/56000 (pow eps 2)))) 9/160)) 1/8) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 513/56000 binary64) (*.f64 eps eps) #s(literal 621/22400 binary64)) (*.f64 eps eps) #s(literal -9/160 binary64)) (*.f64 eps eps) #s(literal -1/8 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 9/40 (pow eps 2)) 1/2) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(* 81/3200 (pow eps 4)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/3200 binary64)) |
(* (pow eps 4) (+ 81/3200 (* 4131/448000 (pow eps 2)))) |
(*.f64 (fma.f64 #s(literal 4131/448000 binary64) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (+ 81/3200 (* (pow eps 2) (+ 4131/448000 (* -2673/1960000 (pow eps 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -2673/1960000 binary64) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (+ 81/3200 (* (pow eps 2) (+ 4131/448000 (* (pow eps 2) (- (* 121743/1254400000 (pow eps 2)) 2673/1960000)))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 121743/1254400000 binary64) (*.f64 eps eps) #s(literal -2673/1960000 binary64)) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 9/40 (pow eps 2)) 1/2) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
-1/8 |
#s(literal -1/8 binary64) |
(- (* -9/160 (pow eps 2)) 1/8) |
(fma.f64 #s(literal -9/160 binary64) (*.f64 eps eps) #s(literal -1/8 binary64)) |
(- (* (pow eps 2) (- (* 621/22400 (pow eps 2)) 9/160)) 1/8) |
(fma.f64 (fma.f64 #s(literal 621/22400 binary64) (*.f64 eps eps) #s(literal -9/160 binary64)) (*.f64 eps eps) #s(literal -1/8 binary64)) |
(- (* (pow eps 2) (- (* (pow eps 2) (+ 621/22400 (* 513/56000 (pow eps 2)))) 9/160)) 1/8) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 513/56000 binary64) (*.f64 eps eps) #s(literal 621/22400 binary64)) (*.f64 eps eps) #s(literal -9/160 binary64)) (*.f64 eps eps) #s(literal -1/8 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 9/40 (pow eps 2)) 1/2) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(* 81/3200 (pow eps 4)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/3200 binary64)) |
(* (pow eps 4) (+ 81/3200 (* 4131/448000 (pow eps 2)))) |
(*.f64 (fma.f64 #s(literal 4131/448000 binary64) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (+ 81/3200 (* (pow eps 2) (+ 4131/448000 (* -2673/1960000 (pow eps 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -2673/1960000 binary64) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (+ 81/3200 (* (pow eps 2) (+ 4131/448000 (* (pow eps 2) (- (* 121743/1254400000 (pow eps 2)) 2673/1960000)))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 121743/1254400000 binary64) (*.f64 eps eps) #s(literal -2673/1960000 binary64)) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 9/40 (pow eps 2)) 1/2) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(* 2/3 (pow eps 2)) |
(*.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) |
(* (pow eps 2) (+ 2/3 (* 7/90 (pow eps 2)))) |
(fma.f64 #s(literal 7/90 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) |
(* (pow eps 2) (+ 2/3 (* (pow eps 2) (+ 7/90 (* 97/7560 (pow eps 2)))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 97/7560 binary64) (*.f64 eps eps) #s(literal 7/90 binary64)) (*.f64 eps eps) #s(literal 2/3 binary64)) eps) eps) |
(* (pow eps 2) (+ 2/3 (* (pow eps 2) (+ 7/90 (* (pow eps 2) (+ 97/7560 (* 383/226800 (pow eps 2)))))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 383/226800 binary64) (*.f64 eps eps) #s(literal 97/7560 binary64)) (*.f64 eps eps) #s(literal 7/90 binary64)) (*.f64 eps eps) #s(literal 2/3 binary64)) eps) eps) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 1/2 (pow eps 2))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) #s(literal 2 binary64)) |
(+ 2 (* (pow eps 2) (+ 1/2 (* 31/360 (pow eps 2))))) |
(fma.f64 (fma.f64 #s(literal 31/360 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) (*.f64 eps eps) #s(literal 2 binary64)) |
(+ 2 (* (pow eps 2) (+ 1/2 (* (pow eps 2) (+ 31/360 (* 191/15120 (pow eps 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 191/15120 binary64) (*.f64 eps eps) #s(literal 31/360 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (*.f64 eps eps) #s(literal 2 binary64)) |
(/ 1 eps) |
(/.f64 #s(literal 1 binary64) eps) |
(/ (+ 1 (* 1/3 (pow eps 2))) eps) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)) eps) |
(/ (+ 1 (* (pow eps 2) (+ 1/3 (* 1/15 (pow eps 2))))) eps) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/15 binary64) (*.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps) |
(/ (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 1/15 (* 2/189 (pow eps 2))))))) eps) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/189 binary64) (*.f64 eps eps) #s(literal 1/15 binary64)) (*.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps) |
(* 2/3 (pow eps 2)) |
(*.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) |
(* (pow eps 2) (+ 2/3 (* 7/90 (pow eps 2)))) |
(fma.f64 #s(literal 7/90 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) |
(* (pow eps 2) (+ 2/3 (* (pow eps 2) (+ 7/90 (* 97/7560 (pow eps 2)))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 97/7560 binary64) (*.f64 eps eps) #s(literal 7/90 binary64)) (*.f64 eps eps) #s(literal 2/3 binary64)) eps) eps) |
(* (pow eps 2) (+ 2/3 (* (pow eps 2) (+ 7/90 (* (pow eps 2) (+ 97/7560 (* 383/226800 (pow eps 2)))))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 383/226800 binary64) (*.f64 eps eps) #s(literal 97/7560 binary64)) (*.f64 eps eps) #s(literal 7/90 binary64)) (*.f64 eps eps) #s(literal 2/3 binary64)) eps) eps) |
(/ 1 eps) |
(/.f64 #s(literal 1 binary64) eps) |
(/ 1 eps) |
(/.f64 #s(literal 1 binary64) eps) |
(/ 1 eps) |
(/.f64 #s(literal 1 binary64) eps) |
(/ 1 eps) |
(/.f64 #s(literal 1 binary64) eps) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 9/40 (pow eps 2)) 1/2) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(* 1/6 (pow eps 3)) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))) |
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* 81/3200 (pow eps 4)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/3200 binary64)) |
(* (pow eps 4) (+ 81/3200 (* 4131/448000 (pow eps 2)))) |
(*.f64 (fma.f64 #s(literal 4131/448000 binary64) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (+ 81/3200 (* (pow eps 2) (+ 4131/448000 (* -2673/1960000 (pow eps 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -2673/1960000 binary64) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (+ 81/3200 (* (pow eps 2) (+ 4131/448000 (* -2673/1960000 (pow eps 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -2673/1960000 binary64) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
1/4 |
#s(literal 1/4 binary64) |
(+ 1/4 (* 9/40 (pow eps 2))) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal 1/4 binary64)) |
(+ 1/4 (* (pow eps 2) (+ 9/40 (* 459/11200 (pow eps 2))))) |
(fma.f64 (fma.f64 #s(literal 459/11200 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/4 binary64)) |
(+ 1/4 (* (pow eps 2) (+ 9/40 (* (pow eps 2) (+ 459/11200 (* -459/112000 (pow eps 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -459/112000 binary64) (*.f64 eps eps) #s(literal 459/11200 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/4 binary64)) |
(* 9/40 eps) |
(*.f64 eps #s(literal 9/40 binary64)) |
(* eps (+ 9/40 (* -27/2800 (pow eps 2)))) |
(*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) |
(* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) |
(* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) |
(* 9/40 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) |
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) |
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) |
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) |
(* 9/40 (pow eps 4)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 9/40 binary64)) |
(* (pow eps 4) (+ 9/40 (* -27/2800 (pow eps 2)))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))) |
(* (pow eps 4) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64))) |
(* (pow eps 4) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64))) |
(* 81/1600 (pow eps 4)) |
(*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (+ 81/1600 (* -243/56000 (pow eps 2)))) |
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eps |
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(* -2673/1960000 (pow eps 8)) |
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(* (pow eps 8) (- (* 4131/448000 (/ 1 (pow eps 2))) 2673/1960000)) |
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(* 27/112000 (pow eps 6)) |
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(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
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(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 27/112000 binary64)) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64))) |
(* 27/112000 (pow eps 8)) |
(*.f64 (pow.f64 eps #s(literal 8 binary64)) #s(literal 27/112000 binary64)) |
(* (pow eps 8) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (pow.f64 eps #s(literal 8 binary64)) (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)))) |
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(*.f64 (pow.f64 eps #s(literal 8 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 27/112000 binary64)) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)))) |
(* (pow eps 8) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (pow.f64 eps #s(literal 8 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 27/112000 binary64)) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)))) |
(* 729/12544000000 (pow eps 12)) |
(*.f64 (pow.f64 eps #s(literal 12 binary64)) #s(literal 729/12544000000 binary64)) |
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2))))) |
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(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 3159/15680000 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 729/12544000000 binary64)) (/.f64 #s(literal 729/156800000 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 12 binary64))) |
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6)))))) |
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(/ (pow eps 2) (pow (sin eps) 2)) |
(*.f64 (/.f64 eps (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) eps) |
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(* (pow eps 2) (+ (/ 1 (pow eps 2)) (+ (/ 1 (pow (sin eps) 2)) (/ 2 (* eps (sin eps)))))) |
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(/ eps (pow (sin eps) 2)) |
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(* eps (+ (/ 1 (* eps (sin eps))) (/ 1 (pow (sin eps) 2)))) |
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(* eps (+ (/ 1 (* eps (sin eps))) (/ 1 (pow (sin eps) 2)))) |
(+.f64 (/.f64 eps (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 eps))) |
(* eps (+ (/ 1 (* eps (sin eps))) (/ 1 (pow (sin eps) 2)))) |
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(/ eps (pow (sin eps) 2)) |
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(* eps (+ (* 2 (/ 1 (* eps (sin eps)))) (/ 1 (pow (sin eps) 2)))) |
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(* eps (+ (/ 1 (pow eps 2)) (+ (/ 1 (pow (sin eps) 2)) (/ 2 (* eps (sin eps)))))) |
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(* eps (+ (/ 1 (pow eps 2)) (+ (/ 1 (pow (sin eps) 2)) (/ 2 (* eps (sin eps)))))) |
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(* 27/112000 (pow eps 6)) |
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 27/112000 binary64)) |
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
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(* 19683/1404928000000000 (pow eps 18)) |
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(* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (+ (* 59049/35123200000000 (/ 1 (pow eps 2))) (* 140697/35123200000 (/ 1 (pow eps 6)))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 373977/3512320000000 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 19683/1404928000000000 binary64)) (/.f64 #s(literal 59049/35123200000000 binary64) (*.f64 eps eps))) (/.f64 #s(literal 140697/35123200000 binary64) (pow.f64 eps #s(literal 6 binary64)))) (pow.f64 eps #s(literal 18 binary64))) |
1 |
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(* -1 (* eps (- (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -2 (sin eps)))) (* -1 (/ (- (+ (* -1 (- (* -1 (pow (sin eps) 2)) (+ (* -2 (* (sin eps) (- (* -1 (sin eps)) (* -2 (sin eps))))) (pow (sin eps) 2)))) (/ (pow (sin eps) 3) eps)) (+ (* -2 (/ (* (sin eps) (- (* -1 (pow (sin eps) 2)) (+ (* -2 (* (sin eps) (- (* -1 (sin eps)) (* -2 (sin eps))))) (pow (sin eps) 2)))) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -2 (sin eps)))) eps))) eps))) eps)) 1))) |
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (sin.f64 eps) (sin.f64 eps)) eps) #s(literal 1 binary64))) |
(* -2673/1960000 (pow eps 8)) |
(*.f64 (pow.f64 eps #s(literal 8 binary64)) #s(literal -2673/1960000 binary64)) |
(* (pow eps 8) (- (* 4131/448000 (/ 1 (pow eps 2))) 2673/1960000)) |
(*.f64 (-.f64 (/.f64 #s(literal 4131/448000 binary64) (*.f64 eps eps)) #s(literal 2673/1960000 binary64)) (pow.f64 eps #s(literal 8 binary64))) |
(* (pow eps 8) (- (+ (/ 81/3200 (pow eps 4)) (* 4131/448000 (/ 1 (pow eps 2)))) 2673/1960000)) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 81/3200 binary64) (pow.f64 eps #s(literal 4 binary64))) (/.f64 #s(literal 4131/448000 binary64) (*.f64 eps eps))) #s(literal 2673/1960000 binary64)) (pow.f64 eps #s(literal 8 binary64))) |
(* (pow eps 8) (- (+ (/ 81/3200 (pow eps 4)) (* 4131/448000 (/ 1 (pow eps 2)))) 2673/1960000)) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 81/3200 binary64) (pow.f64 eps #s(literal 4 binary64))) (/.f64 #s(literal 4131/448000 binary64) (*.f64 eps eps))) #s(literal 2673/1960000 binary64)) (pow.f64 eps #s(literal 8 binary64))) |
(* 729/12544000000 (pow eps 12)) |
(*.f64 (pow.f64 eps #s(literal 12 binary64)) #s(literal 729/12544000000 binary64)) |
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2))))) |
(*.f64 (-.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal 729/156800000 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 12 binary64))) |
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 3159/15680000 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 729/12544000000 binary64)) (/.f64 #s(literal 729/156800000 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 12 binary64))) |
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 459/112000 (/ 1 (pow eps 6)))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 3159/15680000 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 729/12544000000 binary64)) (/.f64 #s(literal 729/156800000 binary64) (*.f64 eps eps))) (/.f64 #s(literal 459/112000 binary64) (pow.f64 eps #s(literal 6 binary64)))) (pow.f64 eps #s(literal 12 binary64))) |
(* 27/112000 (pow eps 5)) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 27/112000 binary64)) |
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000))) |
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)) #s(literal 27/112000 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4)))))) |
(*.f64 (neg.f64 (-.f64 (-.f64 (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)) #s(literal 27/112000 binary64)) (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))))) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4)))))) |
(*.f64 (neg.f64 (-.f64 (-.f64 (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)) #s(literal 27/112000 binary64)) (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))))) (pow.f64 eps #s(literal 5 binary64))) |
(* 27/112000 (pow eps 6)) |
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 27/112000 binary64)) |
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 27/112000 binary64)) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 27/112000 binary64)) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64))) |
(* 27/112000 (pow eps 8)) |
(*.f64 (pow.f64 eps #s(literal 8 binary64)) #s(literal 27/112000 binary64)) |
(* (pow eps 8) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (pow.f64 eps #s(literal 8 binary64)) (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)))) |
(* (pow eps 8) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (pow.f64 eps #s(literal 8 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 27/112000 binary64)) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)))) |
(* (pow eps 8) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (pow.f64 eps #s(literal 8 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 27/112000 binary64)) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)))) |
(* 729/12544000000 (pow eps 12)) |
(*.f64 (pow.f64 eps #s(literal 12 binary64)) #s(literal 729/12544000000 binary64)) |
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2))))) |
(*.f64 (-.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal 729/156800000 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 12 binary64))) |
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 3159/15680000 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 729/12544000000 binary64)) (/.f64 #s(literal 729/156800000 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 12 binary64))) |
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6)))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 3159/15680000 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 729/12544000000 binary64)) (/.f64 #s(literal 729/156800000 binary64) (*.f64 eps eps))) (/.f64 #s(literal 243/56000 binary64) (pow.f64 eps #s(literal 6 binary64)))) (pow.f64 eps #s(literal 12 binary64))) |
(/ (pow eps 2) (pow (sin eps) 2)) |
(*.f64 (/.f64 eps (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) eps) |
(* (pow eps 2) (+ (* 2 (/ 1 (* eps (sin eps)))) (/ 1 (pow (sin eps) 2)))) |
(*.f64 (+.f64 (/.f64 eps (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (sin.f64 eps))) eps) |
(* (pow eps 2) (+ (/ 1 (pow eps 2)) (+ (/ 1 (pow (sin eps) 2)) (/ 2 (* eps (sin eps)))))) |
(fma.f64 (+.f64 (/.f64 eps (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (sin.f64 eps))) eps #s(literal 1 binary64)) |
(* (pow eps 2) (+ (/ 1 (pow eps 2)) (+ (/ 1 (pow (sin eps) 2)) (/ 2 (* eps (sin eps)))))) |
(fma.f64 (+.f64 (/.f64 eps (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (sin.f64 eps))) eps #s(literal 1 binary64)) |
(/ eps (pow (sin eps) 2)) |
(/.f64 eps (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) |
(* eps (+ (/ 1 (* eps (sin eps))) (/ 1 (pow (sin eps) 2)))) |
(+.f64 (/.f64 eps (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 eps))) |
(* eps (+ (/ 1 (* eps (sin eps))) (/ 1 (pow (sin eps) 2)))) |
(+.f64 (/.f64 eps (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 eps))) |
(* eps (+ (/ 1 (* eps (sin eps))) (/ 1 (pow (sin eps) 2)))) |
(+.f64 (/.f64 eps (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 eps))) |
(/ eps (pow (sin eps) 2)) |
(/.f64 eps (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) |
(* eps (+ (* 2 (/ 1 (* eps (sin eps)))) (/ 1 (pow (sin eps) 2)))) |
(+.f64 (/.f64 eps (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (sin.f64 eps))) |
(* -1 (* eps (- (* -1 (/ (+ (/ 1 eps) (* 2 (/ 1 (sin eps)))) eps)) (/ 1 (pow (sin eps) 2))))) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (sin.f64 eps)) (/.f64 #s(literal 1 binary64) eps)) eps) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) eps) |
(* -1 (* eps (- (* -1 (/ (+ (/ 1 eps) (* 2 (/ 1 (sin eps)))) eps)) (/ 1 (pow (sin eps) 2))))) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (sin.f64 eps)) (/.f64 #s(literal 1 binary64) eps)) eps) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) eps) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 86 | 1043 |
| 0 | 148 | 959 |
| 1 | 610 | 805 |
| 2 | 4833 | 805 |
| 0 | 8116 | 799 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -2673/1960000 binary64) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)))) |
(-.f64 #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -2673/1960000 binary64) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (-.f64 #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -2673/1960000 binary64) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))))) |
#s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -2673/1960000 binary64) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64)))) |
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(-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps) (+.f64 (sin.f64 eps) eps)) (/.f64 (+.f64 (sin.f64 eps) eps) eps)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal 2 binary64))) eps) (-.f64 eps (tan.f64 eps)))) |
(-.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps) (+.f64 (sin.f64 eps) eps)) (/.f64 (+.f64 (sin.f64 eps) eps) eps)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps) (+.f64 (sin.f64 eps) eps)) |
(*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps) |
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 eps) eps) eps) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps)) |
(/.f64 eps (*.f64 eps eps)) |
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 eps) eps) eps) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps)) #s(approx (* (* (+ (sin eps) eps) (pow (sin eps) -2)) (/ (+ (sin eps) eps) eps)) (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) eps (/.f64 eps (*.f64 eps eps))))) (-.f64 eps (tan.f64 eps))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 eps) eps) eps) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps)) #s(approx (* (* (+ (sin eps) eps) (pow (sin eps) -2)) (/ (+ (sin eps) eps) eps)) (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) eps (/.f64 eps (*.f64 eps eps))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -2673/1960000 binary64) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) |
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))) |
(*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal 2 binary64))) |
(*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) |
(fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) eps (/.f64 eps (*.f64 eps eps))) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2673/1960000 binary64) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/16 binary64) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2673/1960000 binary64) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2673/1960000 binary64) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2673/1960000 binary64) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64))))) (pow.f64 #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2673/1960000 binary64) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2673/1960000 binary64) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2673/1960000 binary64) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)) #s(literal 1/8 binary64))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2673/1960000 binary64) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2673/1960000 binary64) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2673/1960000 binary64) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64))))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal -1/4 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2673/1960000 binary64) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2673/1960000 binary64) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)))))) (pow.f64 (neg.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal -1/4 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2673/1960000 binary64) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64))))))) |
(*.f64 (fma.f64 #s(literal -1/4 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2673/1960000 binary64) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64))))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal -2 binary64))) |
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(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps)) #s(literal -1 binary64)) (*.f64 (-.f64 (sin.f64 eps) eps) (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 eps (-.f64 eps (sin.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps))) (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 (sin.f64 eps) eps))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (fma.f64 eps (-.f64 eps (sin.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps))) (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 (sin.f64 eps) eps))) |
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (fma.f64 eps (-.f64 eps (sin.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) |
(/.f64 (*.f64 (+.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps)) #s(literal 1 binary64)) (*.f64 (-.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 eps (-.f64 eps (sin.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (+.f64 (sin.f64 eps) eps)) (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) |
(fma.f64 (pow.f64 (exp.f64 (log.f64 (sin.f64 eps))) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 (log.f64 (sin.f64 eps))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps)) |
(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 eps)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (sin.f64 eps)) #s(literal -1 binary64)) (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps)) |
(fma.f64 (pow.f64 (sin.f64 eps) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sin.f64 eps) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps)) |
(fma.f64 (pow.f64 (sin.f64 eps) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 eps) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps)) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal -1 binary64)) eps) (pow.f64 (sin.f64 eps) #s(literal -1 binary64)) (pow.f64 (sin.f64 eps) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (sin.f64 eps) #s(literal -1 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps)) |
(fma.f64 (pow.f64 (sin.f64 eps) #s(literal -1 binary64)) (*.f64 (pow.f64 (sin.f64 eps) #s(literal -1 binary64)) eps) (pow.f64 (sin.f64 eps) #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps) (pow.f64 (sin.f64 eps) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) (sin.f64 eps) (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps)) |
(fma.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps (pow.f64 (sin.f64 eps) #s(literal -1 binary64))) |
(fma.f64 (sin.f64 eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps)) |
(fma.f64 eps (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) (pow.f64 (sin.f64 eps) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (sin.f64 eps) #s(literal -1 binary64)) (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps)) |
(+.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps) (pow.f64 (sin.f64 eps) #s(literal -1 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 (sin.f64 eps) eps)) #s(literal 1 binary64)) (log.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))))) |
(exp.f64 (fma.f64 (log.f64 (+.f64 (sin.f64 eps) eps)) #s(literal 1 binary64) (*.f64 (log.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (+.f64 (sin.f64 eps) eps)) #s(literal 1 binary64) (log.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64))))) |
(exp.f64 (fma.f64 (log.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) #s(literal -1 binary64) (*.f64 (log.f64 (+.f64 (sin.f64 eps) eps)) #s(literal 1 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (sin.f64 eps)) #s(literal -2 binary64) (*.f64 (log.f64 (+.f64 (sin.f64 eps) eps)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps) #s(literal 2 binary64)) (pow.f64 eps #s(literal -2 binary64))) (pow.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps) (pow.f64 eps #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 eps #s(literal -3 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps) #s(literal 3 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) #s(literal 1 binary64))) (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 eps (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) (pow.f64 eps #s(literal -2 binary64)))) |
(*.f64 eps (+.f64 (pow.f64 eps #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))))) |
(pow.f64 (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps) (pow.f64 eps #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps) #s(literal 2 binary64)) (pow.f64 eps #s(literal -2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) #s(literal 1 binary64))) (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps) #s(literal 2 binary64))) (+.f64 (pow.f64 eps #s(literal -3 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps) #s(literal 2 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps) #s(literal 2 binary64)) (pow.f64 eps #s(literal -2 binary64)))) (neg.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps) (pow.f64 eps #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal -3 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps) #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) #s(literal 1 binary64))) (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps) #s(literal 2 binary64)) (pow.f64 eps #s(literal -2 binary64))) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps) (pow.f64 eps #s(literal -1 binary64)))) |
(/.f64 (+.f64 (pow.f64 eps #s(literal -3 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps) #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal -2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) #s(literal 1 binary64))))) |
(/.f64 (+.f64 (pow.f64 eps #s(literal -3 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps) #s(literal 3 binary64))) (+.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) #s(literal 1 binary64))) (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps) (pow.f64 eps #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps) #s(literal 2 binary64)) (pow.f64 eps #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) #s(literal 1 binary64))) (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps) #s(literal 2 binary64))) (+.f64 (pow.f64 eps #s(literal -3 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps) #s(literal 3 binary64))))) |
(fma.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps)) |
(fma.f64 (pow.f64 eps #s(literal -2 binary64)) eps (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps)) |
(fma.f64 (neg.f64 eps) (pow.f64 (*.f64 (neg.f64 eps) eps) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps)) |
(fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps (pow.f64 eps #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps)) |
(fma.f64 eps (pow.f64 eps #s(literal -2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps)) |
(fma.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) (pow.f64 eps #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps) (pow.f64 eps #s(literal -1 binary64)))) (/.f64 (pow.f64 eps #s(literal -2 binary64)) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps) (pow.f64 eps #s(literal -1 binary64))))) |
(+.f64 (pow.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps)) |
(+.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps) (pow.f64 eps #s(literal -1 binary64))) |
Compiled 79 254 to 4 176 computations (94.7% saved)
9 alts after pruning (4 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 134 | 4 | 1 138 |
| Fresh | 0 | 0 | 0 |
| Picked | 4 | 0 | 4 |
| Done | 0 | 5 | 5 |
| Total | 1 138 | 9 | 1 147 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 2.1% | (/.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps) (*.f64 (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) |
| 1.9% | (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps) (+.f64 (sin.f64 eps) eps)) (/.f64 (+.f64 (sin.f64 eps) eps) eps)) (*.f64 (/.f64 #s(approx (* (pow (sin eps) -2) (pow (+ (sin eps) eps) 2)) (fma.f64 (+.f64 (/.f64 eps (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (sin.f64 eps))) eps #s(literal 1 binary64))) eps) (-.f64 eps (tan.f64 eps)))) | |
| ✓ | 100.0% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| ✓ | 99.8% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| ✓ | 99.5% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
| 99.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (-.f64 #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -2673/1960000 binary64) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (log.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) | |
| 99.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (-.f64 #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2673/1960000 binary64) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (*.f64 eps eps)) (*.f64 eps eps))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))))) | |
| 99.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2673/1960000 binary64) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)))))) | |
| ✓ | 98.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
Compiled 1 114 to 280 computations (74.9% saved)
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (-.f64 #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2673/1960000 binary64) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (*.f64 eps eps)) (*.f64 eps eps))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (-.f64 #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -2673/1960000 binary64) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2673/1960000 binary64) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (-.f64 #s(approx (* (* (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -2673/1960000 binary64) (*.f64 eps eps) #s(literal 4131/448000 binary64)) (*.f64 eps eps) #s(literal 81/3200 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (log.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps)))) (-.f64 eps (tan.f64 eps))) |
(/.f64 (-.f64 (-.f64 eps (tan.f64 eps)) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps))) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (-.f64 eps (tan.f64 eps)))) |
(/.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps) (*.f64 (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps) (+.f64 (sin.f64 eps) eps)) (/.f64 (+.f64 (sin.f64 eps) eps) eps)) (*.f64 (/.f64 #s(approx (* (pow (sin eps) -2) (pow (+ (sin eps) eps) 2)) (fma.f64 (+.f64 (/.f64 eps (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (sin.f64 eps))) eps #s(literal 1 binary64))) eps) (-.f64 eps (tan.f64 eps)))) |
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 eps) eps) eps) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps)) #s(approx (* (* (+ (sin eps) eps) (pow (sin eps) -2)) (/ (+ (sin eps) eps) eps)) (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) eps (/.f64 eps (*.f64 eps eps))))) (-.f64 eps (tan.f64 eps))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) eps) (+.f64 (sin.f64 eps) eps)) (/.f64 (+.f64 (sin.f64 eps) eps) eps)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal -2 binary64)) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal 2 binary64))) eps) (-.f64 eps (tan.f64 eps)))) |
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 eps) eps) eps) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) eps)) (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) (/.f64 (+.f64 (sin.f64 eps) eps) eps))) (-.f64 eps (tan.f64 eps))) |
(/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)))) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps))) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))))) (-.f64 eps (tan.f64 eps))) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
2 calls:
| 7.0ms | eps |
| 4.0ms | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | eps |
| 100.0% | 1 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
2 calls:
| 2.0ms | eps |
| 1.0ms | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | eps |
| 99.8% | 1 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
2 calls:
| 1.0ms | eps |
| 1.0ms | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | eps |
| 99.5% | 1 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
Compiled 10 to 7 computations (30% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
2 calls:
| 1.0ms | eps |
| 1.0ms | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 1 | eps |
| 98.9% | 1 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
Compiled 10 to 7 computations (30% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 74 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 561 |
| 1 | 422 | 524 |
| 2 | 1321 | 499 |
| 3 | 5649 | 444 |
| 0 | 8475 | 418 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
Compiled 72 to 39 computations (45.8% saved)
(abs eps)
Compiled 142 to 76 computations (46.5% saved)
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