
Time bar (total: 18.6s)
| 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)
| 6.7s | 4 545× | 2 | valid |
| 1.5s | 1 188× | 3 | valid |
| 683.0ms | 2 397× | 1 | valid |
| 13.0ms | 126× | 0 | valid |
ival-tan: 4.4s (54.8% of total)ival-sin: 2.4s (30.2% of total)adjust: 398.0ms (4.9% of total)ival-sub: 263.0ms (3.3% of total)const: 257.0ms (3.2% of total)ival-div: 200.0ms (2.5% of total)ival-<=: 83.0ms (1% of total)ival-and: 12.0ms (0.1% of total)ival-assert: 4.0ms (0% of total)| 1× | egg-herbie |
| 320× | lower-fma.f64 |
| 320× | lower-fma.f32 |
| 192× | lower-*.f64 |
| 192× | lower-*.f32 |
| 144× | div-sub |
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))) |
(abs eps)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 170 | 0 | - | 3 | (5.482058910627483e-107) | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 89 | 0 | - | 1 | (0.1861156567263358) | (-.f64 eps (tan.f64 eps)) |
| 89 | 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 | 167 | 0 |
| ↳ | (-.f64 eps (sin.f64 eps)) | underflow | 167 | |
| ↳ | (-.f64 eps (tan.f64 eps)) | underflow | 167 | |
-.f64 | (-.f64 eps (sin.f64 eps)) | cancellation | 89 | 0 |
-.f64 | (-.f64 eps (tan.f64 eps)) | cancellation | 88 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 255 | 0 |
| - | 1 | 0 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 255 | 0 | 0 |
| - | 1 | 0 | 0 |
| number | freq |
|---|---|
| 1 | 168 |
| 2 | 88 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 383.0ms | 284× | 2 | valid |
| 51.0ms | 72× | 3 | valid |
| 32.0ms | 152× | 1 | valid |
| 0.0ms | 4× | 0 | valid |
Compiled 68 to 28 computations (58.8% saved)
ival-tan: 272.0ms (63.9% of total)ival-sin: 116.0ms (27.3% of total)adjust: 16.0ms (3.8% of total)ival-sub: 15.0ms (3.5% of total)ival-div: 6.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 1.1% | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
Compiled 10 to 6 computations (40% 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))) |
| 320× | lower-fma.f64 |
| 320× | lower-fma.f32 |
| 192× | lower-*.f64 |
| 192× | lower-*.f32 |
| 144× | div-sub |
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 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 | 100.0% | (sin.f64 eps) |
| ✓ | accuracy | 69.4% | (-.f64 eps (sin.f64 eps)) |
| ✓ | accuracy | 69.4% | (-.f64 eps (tan.f64 eps)) |
| ✓ | accuracy | 34.6% | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 191.0ms | 142× | 2 | valid |
| 57.0ms | 36× | 3 | valid |
| 15.0ms | 76× | 1 | valid |
| 0.0ms | 2× | 0 | valid |
Compiled 24 to 8 computations (66.7% saved)
ival-tan: 177.0ms (70.3% of total)ival-sin: 54.0ms (21.5% of total)adjust: 10.0ms (4% of total)ival-sub: 7.0ms (2.8% of total)ival-div: 3.0ms (1.2% 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 (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 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 (* 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 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 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 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 (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 (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 (* -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 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 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>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | inf | (/ (- eps (sin eps)) (- eps (tan eps))) |
| 1.0ms | eps | @ | -inf | (/ (- eps (sin eps)) (- eps (tan eps))) |
| 1.0ms | eps | @ | 0 | (/ (- eps (sin eps)) (- eps (tan eps))) |
| 0.0ms | eps | @ | inf | (- eps (tan eps)) |
| 0.0ms | eps | @ | -inf | (- eps (tan eps)) |
| 1× | batch-egg-rewrite |
| 4 318× | lower-*.f64 |
| 4 318× | lower-*.f32 |
| 3 264× | lower-/.f32 |
| 3 262× | lower-/.f64 |
| 2 758× | lower-fma.f64 |
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 |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 eps (sin.f64 eps)))) #s(literal -1 binary64))) |
(+.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))) |
(+.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)))) |
(+.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) (neg.f64 (sin.f64 eps)))) |
(+.f64 (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) (/.f64 eps (-.f64 eps (tan.f64 eps)))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) (neg.f64 (sin.f64 eps))) (/.f64 eps (-.f64 eps (tan.f64 eps)))) |
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(/.f64 (+.f64 (neg.f64 (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (neg.f64 (+.f64 eps (tan.f64 eps)))) |
(/.f64 (+.f64 (neg.f64 (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 eps (tan.f64 eps))))) |
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (*.f64 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) |
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (*.f64 (+.f64 eps (tan.f64 eps)) (+.f64 (fma.f64 eps (*.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64))) (pow.f64 (*.f64 eps (tan.f64 eps)) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 9 binary64)))) (*.f64 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)) (+.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (pow.f64 (*.f64 eps (tan.f64 eps)) #s(literal 3 binary64))))) |
(/.f64 (-.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (pow.f64 (tan.f64 eps) #s(literal 4 binary64))) (*.f64 (+.f64 eps (tan.f64 eps)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))) (*.f64 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (+.f64 eps (tan.f64 eps))) (*.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))) |
(/.f64 (*.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 eps (tan.f64 eps))) |
(/.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 9 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (pow.f64 (*.f64 eps (tan.f64 eps)) #s(literal 3 binary64))) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 eps (*.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64))) (pow.f64 (*.f64 eps (tan.f64 eps)) #s(literal 2 binary64))) (+.f64 eps (tan.f64 eps)))) |
(/.f64 (*.f64 (-.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (pow.f64 (tan.f64 eps) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 eps (tan.f64 eps)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))))) |
(/.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 eps (tan.f64 eps))) |
(/.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (+.f64 eps (tan.f64 eps))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 eps eps) (+.f64 eps (tan.f64 eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))))))) |
(/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps)) (-.f64 (neg.f64 (tan.f64 eps)) eps)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))) #s(literal 2 binary64))) (fma.f64 eps (/.f64 (*.f64 eps eps) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64))) (fma.f64 eps (/.f64 eps (+.f64 eps (tan.f64 eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)))) (+.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (pow.f64 (*.f64 eps (tan.f64 eps)) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)))) (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps)))) (+.f64 (fma.f64 eps (*.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64))) (pow.f64 (*.f64 eps (tan.f64 eps)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (pow.f64 (tan.f64 eps) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps)))) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) |
(pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (-.f64 eps (tan.f64 eps)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)))) |
(*.f64 (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)) (/.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)))) |
(*.f64 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)) (*.f64 (-.f64 eps (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))))) |
(*.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) |
(*.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps)))) |
(*.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))) #s(literal 1 binary64))) |
(*.f64 (+.f64 eps (tan.f64 eps)) (/.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (tan.f64 eps)))) |
(*.f64 (+.f64 eps (tan.f64 eps)) (*.f64 (-.f64 eps (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))))) |
(*.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) |
(*.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))))) |
(*.f64 (+.f64 (neg.f64 (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 eps (tan.f64 eps))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))) (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) eps) (*.f64 eps eps))) |
(*.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (-.f64 eps (tan.f64 eps))) |
(*.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (fma.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) (pow.f64 (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))) (-.f64 (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))) (*.f64 eps eps)) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(*.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (-.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (pow.f64 (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)))) (-.f64 (*.f64 eps eps) (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))) |
| 1× | egg-herbie |
| 12 288× | lower-fma.f64 |
| 12 288× | lower-fma.f32 |
| 6 122× | lower-*.f64 |
| 6 122× | lower-*.f32 |
| 1 424× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 561 |
| 1 | 422 | 524 |
| 2 | 1321 | 499 |
| 3 | 5650 | 444 |
| 0 | 8479 | 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 |
(- (+ 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) (/ (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))) |
(* 1/6 (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 (/ (sin eps) eps)))) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
eps |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
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)))) |
(sin eps) |
(sin eps) |
(sin eps) |
(sin eps) |
(sin eps) |
(sin eps) |
(sin eps) |
(sin eps) |
(* -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 (/ (sin eps) (* eps (cos eps)))))) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos 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 #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 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 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 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.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)))))) |
(fma.f64 (sin.f64 eps) (fma.f64 (sin.f64 eps) (/.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (*.f64 (*.f64 eps eps) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) eps)) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (*.f64 eps eps)) (/.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) |
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 (*.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps) (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))))) eps)) |
(* 1/6 (pow eps 3)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1/6 binary64)) |
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))) |
(*.f64 eps (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) |
(*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 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)) |
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)) |
eps |
(* eps (+ 1 (* -1/6 (pow eps 2)))) |
(fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64)) eps) |
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))) |
(fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) |
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) |
(fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(* -1/3 (pow eps 3)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -1/3 binary64)) |
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) |
(*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))) |
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) |
(*.f64 eps (*.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -17/315 binary64)) #s(literal -2/15 binary64)) #s(literal -1/3 binary64))))) |
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) |
(*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -62/2835 binary64) #s(literal -17/315 binary64)) #s(literal -2/15 binary64))) #s(literal -1/3 binary64)))) |
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))) |
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))) |
Compiled 12 434 to 1 225 computations (90.1% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 454 | 8 | 462 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 454 | 9 | 463 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 1.1% | (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) eps (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))) |
| ▶ | 99.9% | (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
| ▶ | 99.7% | (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
| 99.6% | (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) | |
| 0.8% | (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps)) | |
| ✓ | 1.1% | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 1.0% | (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps))) | |
| ▶ | 1.1% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps)) |
| ▶ | 99.4% | #s(literal -1/2 binary64) |
Compiled 228 to 136 computations (40.4% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (tan.f64 eps) |
| ✓ | cost-diff | 0 | (-.f64 (tan.f64 eps) eps) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) |
| ✓ | cost-diff | 7488 | (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) eps (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))) |
| ✓ | cost-diff | 0 | (tan.f64 eps) |
| ✓ | cost-diff | 0 | (-.f64 (tan.f64 eps) eps) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps)) |
| ✓ | cost-diff | 0 | (*.f64 eps #s(literal -27/2800 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 eps eps) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 eps eps) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
| 5 656× | lower-fma.f32 |
| 5 644× | lower-fma.f64 |
| 2 294× | unsub-neg |
| 1 768× | lower-*.f32 |
| 1 758× | lower-*.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 149 |
| 0 | 49 | 145 |
| 1 | 96 | 141 |
| 2 | 214 | 141 |
| 3 | 437 | 141 |
| 4 | 728 | 141 |
| 5 | 960 | 141 |
| 6 | 1140 | 141 |
| 7 | 1941 | 141 |
| 8 | 3657 | 141 |
| 9 | 5268 | 141 |
| 10 | 5968 | 141 |
| 11 | 6060 | 141 |
| 12 | 6092 | 141 |
| 13 | 6217 | 141 |
| 14 | 6258 | 141 |
| 15 | 6260 | 141 |
| 16 | 6260 | 141 |
| 17 | 6260 | 141 |
| 18 | 6260 | 141 |
| 19 | 6264 | 141 |
| 0 | 6264 | 141 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
(*.f64 eps eps) |
eps |
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) |
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) |
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) |
(*.f64 eps #s(literal 27/112000 binary64)) |
#s(literal 27/112000 binary64) |
#s(literal -27/2800 binary64) |
#s(literal 9/40 binary64) |
#s(literal -1/2 binary64) |
#s(literal -1/2 binary64) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
(*.f64 eps eps) |
eps |
(fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) |
(*.f64 eps #s(literal -27/2800 binary64)) |
#s(literal -27/2800 binary64) |
#s(literal 9/40 binary64) |
#s(literal -1/2 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps)) |
(/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) |
#s(literal 1 binary64) |
(-.f64 (tan.f64 eps) eps) |
(tan.f64 eps) |
eps |
(-.f64 (sin.f64 eps) eps) |
(sin.f64 eps) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) eps (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))) |
(/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) |
#s(literal -1 binary64) |
(-.f64 (tan.f64 eps) eps) |
(tan.f64 eps) |
eps |
(/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) |
(sin.f64 eps) |
| Outputs |
|---|
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal -1/2 binary64)) |
(*.f64 eps eps) |
eps |
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) |
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) |
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) |
(*.f64 eps #s(literal 27/112000 binary64)) |
#s(literal 27/112000 binary64) |
#s(literal -27/2800 binary64) |
#s(literal 9/40 binary64) |
#s(literal -1/2 binary64) |
#s(literal -1/2 binary64) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal -1/2 binary64)) |
(*.f64 eps eps) |
eps |
(fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) |
(*.f64 eps #s(literal -27/2800 binary64)) |
#s(literal -27/2800 binary64) |
#s(literal 9/40 binary64) |
#s(literal -1/2 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps)) |
(/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (tan.f64 eps) eps)) |
(/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) |
#s(literal 1 binary64) |
(-.f64 (tan.f64 eps) eps) |
(tan.f64 eps) |
eps |
(-.f64 (sin.f64 eps) eps) |
(sin.f64 eps) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) eps (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))) |
(/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (tan.f64 eps) eps)) |
(/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) |
(/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) |
#s(literal -1 binary64) |
(-.f64 (tan.f64 eps) eps) |
(tan.f64 eps) |
eps |
(/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) |
(sin.f64 eps) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) |
| ✓ | accuracy | 85.9% | (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) |
| ✓ | accuracy | 69.4% | (-.f64 (tan.f64 eps) eps) |
| ✓ | accuracy | 2.7% | (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) eps (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) |
| ✓ | accuracy | 69.4% | (-.f64 (sin.f64 eps) eps) |
| ✓ | accuracy | 69.4% | (-.f64 (tan.f64 eps) eps) |
| ✓ | accuracy | 32.4% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps)) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 eps eps) |
| ✓ | accuracy | 99.4% | (*.f64 eps #s(literal -27/2800 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 eps eps) |
| ✓ | accuracy | 100.0% | (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 eps #s(literal 27/112000 binary64)) |
| ✓ | accuracy | 99.4% | (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) |
| 419.0ms | 152× | 2 | valid |
| 62.0ms | 102× | 1 | valid |
| 1.0ms | 2× | 0 | valid |
Compiled 162 to 33 computations (79.6% saved)
ival-tan: 162.0ms (37.4% of total)ival-mult: 122.0ms (28.2% of total)ival-sin: 72.0ms (16.6% of total)adjust: 23.0ms (5.3% of total)const: 21.0ms (4.9% of total)ival-add: 16.0ms (3.7% of total)ival-div: 10.0ms (2.3% of total)ival-sub: 7.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #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 (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (patch (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) (patch (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (patch (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 eps #s(literal -27/2800 binary64)) (patch (*.f64 eps #s(literal -27/2800 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) #<representation binary64>) () ()) |
#s(alt (-.f64 (tan.f64 eps) eps) (patch (-.f64 (tan.f64 eps) eps) #<representation binary64>) () ()) |
#s(alt (tan.f64 eps) (patch (tan.f64 eps) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) eps (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) eps (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) (patch (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 eps #s(literal 27/112000 binary64)) (patch (*.f64 eps #s(literal 27/112000 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (sin.f64 eps) eps) (patch (-.f64 (sin.f64 eps) eps) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) (patch (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt -1/2 (taylor 0 eps) (#s(alt (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #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) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #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 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #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 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 27/112000 (pow eps 6)) (taylor inf eps) (#s(alt (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) (taylor inf eps) (#s(alt (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) (taylor inf eps) (#s(alt (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))) (taylor inf eps) (#s(alt (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 27/112000 (pow eps 6)) (taylor -inf eps) (#s(alt (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) (taylor -inf eps) (#s(alt (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) (taylor -inf eps) (#s(alt (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))) (taylor -inf eps) (#s(alt (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #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 (pow eps 2) (taylor inf eps) (#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 2) (taylor inf eps) (#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 2) (taylor inf eps) (#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 2) (taylor inf eps) (#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 2) (taylor -inf eps) (#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 2) (taylor -inf eps) (#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 2) (taylor -inf eps) (#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 2) (taylor -inf eps) (#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())) ()) |
#s(alt 9/40 (taylor 0 eps) (#s(alt (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (patch (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 9/40 (* -27/2800 (pow eps 2))) (taylor 0 eps) (#s(alt (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (patch (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #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 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (patch (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #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 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (patch (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 27/112000 (pow eps 4)) (taylor inf eps) (#s(alt (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (patch (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) (taylor inf eps) (#s(alt (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (patch (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) (taylor inf eps) (#s(alt (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (patch (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) (taylor inf eps) (#s(alt (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (patch (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 27/112000 (pow eps 4)) (taylor -inf eps) (#s(alt (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (patch (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) (taylor -inf eps) (#s(alt (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (patch (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) (taylor -inf eps) (#s(alt (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (patch (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) (taylor -inf eps) (#s(alt (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (patch (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -27/2800 eps) (taylor 0 eps) (#s(alt (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) (patch (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (- (* 27/112000 (pow eps 2)) 27/2800)) (taylor 0 eps) (#s(alt (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) (patch (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (- (* 27/112000 (pow eps 2)) 27/2800)) (taylor 0 eps) (#s(alt (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) (patch (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (- (* 27/112000 (pow eps 2)) 27/2800)) (taylor 0 eps) (#s(alt (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) (patch (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 27/112000 (pow eps 3)) (taylor inf eps) (#s(alt (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) (patch (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) (taylor inf eps) (#s(alt (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) (patch (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) (taylor inf eps) (#s(alt (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) (patch (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps))))) (taylor -inf eps) (#s(alt (-.f64 (sin.f64 eps) eps) (patch (-.f64 (sin.f64 eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps))))) (taylor -inf eps) (#s(alt (-.f64 (sin.f64 eps) eps) (patch (-.f64 (sin.f64 eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (/ 3 (pow eps 2)) (taylor 0 eps) (#s(alt (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) (patch (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 3 (* -17/10 (pow eps 2))) (pow eps 2)) (taylor 0 eps) (#s(alt (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) (patch (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 3 (* (pow eps 2) (- (* 307/1400 (pow eps 2)) 17/10))) (pow eps 2)) (taylor 0 eps) (#s(alt (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) (patch (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (+ 307/1400 (* -1247/126000 (pow eps 2)))) 17/10))) (pow eps 2)) (taylor 0 eps) (#s(alt (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) (patch (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (sin eps) eps)) (taylor inf eps) (#s(alt (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) (patch (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps) (taylor inf eps) (#s(alt (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) (patch (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2))))) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps) (taylor inf eps) (#s(alt (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) (patch (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 4) (* (pow eps 3) (pow (cos eps) 3))))) (+ (/ (pow (sin eps) 2) (* eps (cos eps))) (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2))))) eps) (taylor inf eps) (#s(alt (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) (patch (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (sin eps) eps)) (taylor -inf eps) (#s(alt (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) (patch (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (sin eps) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps)) (taylor -inf eps) (#s(alt (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) (patch (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (sin eps) (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (cos eps))) eps))) eps)) (taylor -inf eps) (#s(alt (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) (patch (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (sin eps) (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 4) (* eps (pow (cos eps) 3))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 2)))) eps)) (/ (pow (sin eps) 2) (cos eps))) eps))) eps)) (taylor -inf eps) (#s(alt (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) (patch (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())) ()) |
48 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | eps | @ | inf | (/ (sin eps) (- (tan eps) eps)) |
| 1.0ms | eps | @ | 0 | (* (/ 1 (- (tan eps) eps)) (- (sin eps) eps)) |
| 1.0ms | eps | @ | -inf | (+ (* (/ -1 (- (tan eps) eps)) eps) (/ (sin eps) (- (tan eps) eps))) |
| 1.0ms | eps | @ | inf | (+ (* (/ -1 (- (tan eps) eps)) eps) (/ (sin eps) (- (tan eps) eps))) |
| 1.0ms | eps | @ | inf | (+ (* (* eps eps) (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40)) -1/2) |
| 1× | batch-egg-rewrite |
| 4 134× | lower-fma.f32 |
| 4 122× | lower-fma.f64 |
| 4 084× | lower-/.f32 |
| 4 078× | lower-/.f64 |
| 4 042× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 116 |
| 0 | 49 | 112 |
| 1 | 213 | 108 |
| 2 | 1732 | 108 |
| 0 | 8286 | 108 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
(*.f64 eps eps) |
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) |
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) |
(*.f64 eps #s(literal -27/2800 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps)) |
(/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) |
(-.f64 (tan.f64 eps) eps) |
(tan.f64 eps) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) eps (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))) |
(/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) |
(*.f64 eps #s(literal 27/112000 binary64)) |
(-.f64 (sin.f64 eps) eps) |
(/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) |
| Outputs |
|---|
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))) |
(+.f64 (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))) #s(literal -1/2 binary64)) |
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))))) (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64))) |
(+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))))) (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64))) |
(-.f64 (/.f64 (*.f64 (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))))) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))))) (/.f64 (*.f64 (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))))) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))))) |
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))))) (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64))) |
(fma.f64 eps (*.f64 (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))) (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))) (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))) eps #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))) eps) eps (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))) eps (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))) (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))) (*.f64 (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))))) #s(literal -1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))) (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))) (*.f64 (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))))) #s(literal -1/8 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))) (*.f64 (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))))) #s(literal -1/8 binary64)) (-.f64 (fma.f64 (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))) |
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(*.f64 (neg.f64 (sin.f64 eps)) (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps))) |
(*.f64 (*.f64 (sin.f64 eps) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps))) |
(*.f64 (/.f64 (sin.f64 eps) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps)))) (fma.f64 eps (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (sin.f64 eps) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 eps) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps))) (+.f64 eps (tan.f64 eps))) |
(*.f64 (/.f64 (sin.f64 eps) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))))) |
(*.f64 (/.f64 (sin.f64 eps) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps))) |
| 1× | egg-herbie |
| 14 332× | lower-fma.f64 |
| 14 332× | lower-fma.f32 |
| 4 420× | lower-+.f64 |
| 4 420× | lower-+.f32 |
| 4 138× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 371 | 2265 |
| 1 | 1095 | 2193 |
| 2 | 3415 | 2127 |
| 0 | 8198 | 2051 |
| 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) |
(* 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 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)))))) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 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))) |
(* 27/112000 (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 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))))) |
(* -27/2800 eps) |
(* eps (- (* 27/112000 (pow eps 2)) 27/2800)) |
(* eps (- (* 27/112000 (pow eps 2)) 27/2800)) |
(* eps (- (* 27/112000 (pow eps 2)) 27/2800)) |
(* 27/112000 (pow eps 3)) |
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* 27/112000 (pow eps 3)) |
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000))) |
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000))) |
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000))) |
-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) |
(* -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 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))))) |
9/40 |
(+ 9/40 (* -27/2800 (pow eps 2))) |
(+ 9/40 (* -27/2800 (pow eps 2))) |
(+ 9/40 (* -27/2800 (pow eps 2))) |
(* -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)) |
(* -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)) |
(* -27/2800 eps) |
(* -27/2800 eps) |
(* -27/2800 eps) |
(* -27/2800 eps) |
(* -27/2800 eps) |
(* -27/2800 eps) |
(* -27/2800 eps) |
(* -27/2800 eps) |
(* -27/2800 eps) |
(* -27/2800 eps) |
(* -27/2800 eps) |
(* -27/2800 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 |
(- (+ 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) (/ (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))) |
(/ 3 (pow eps 3)) |
(/ (+ 3 (* -6/5 (pow eps 2))) (pow eps 3)) |
(/ (+ 3 (* (pow eps 2) (- (* -1/175 (pow eps 2)) 6/5))) (pow eps 3)) |
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7875 (pow eps 2)) 1/175)) 6/5))) (pow eps 3)) |
(/ -1 eps) |
(/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps) |
(/ (- (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ 1 (/ (sin eps) (* eps (cos eps))))) eps) |
(/ (- (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) eps) |
(/ -1 eps) |
(* -1 (/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps))) eps)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps))) eps))) eps)) |
(* 1/3 (pow eps 3)) |
(* (pow eps 3) (+ 1/3 (* 2/15 (pow eps 2)))) |
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))) |
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2)))))))) |
(* -1 eps) |
(* eps (- (/ (sin eps) (* eps (cos eps))) 1)) |
(* eps (- (/ (sin eps) (* eps (cos eps))) 1)) |
(* eps (- (/ (sin eps) (* eps (cos eps))) 1)) |
(* -1 eps) |
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))) |
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))) |
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))) |
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)))))))) |
(/ (sin eps) (cos eps)) |
(/ (sin eps) (cos eps)) |
(/ (sin eps) (cos eps)) |
(/ (sin eps) (cos eps)) |
(/ (sin eps) (cos eps)) |
(/ (sin eps) (cos eps)) |
(/ (sin eps) (cos eps)) |
(/ (sin eps) (cos 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 |
(+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (/ (sin eps) (* eps (cos eps))) (+ (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))))) (+ (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))) (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 2))))) |
1 |
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* eps (cos eps))))) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (cos eps)))) eps))) (/ (sin eps) (cos eps))) eps))) |
(/ -3 (pow eps 3)) |
(/ (- (* 6/5 (pow eps 2)) 3) (pow eps 3)) |
(/ (- (* (pow eps 2) (+ 6/5 (* 1/175 (pow eps 2)))) 3) (pow eps 3)) |
(/ (- (* (pow eps 2) (+ 6/5 (* (pow eps 2) (+ 1/175 (* 2/7875 (pow eps 2)))))) 3) (pow eps 3)) |
(/ 1 eps) |
(/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps) |
(/ (- (+ 1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (* -1 (/ (sin eps) (* eps (cos eps))))) eps) |
(/ (- (+ 1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) eps) |
(/ 1 eps) |
(* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))) (* -1 (/ (sin eps) (cos eps)))) eps)) 1) eps)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)) (* -1 (/ (sin eps) (cos eps)))) eps)) 1) eps)) |
(* 27/112000 eps) |
(* 27/112000 eps) |
(* 27/112000 eps) |
(* 27/112000 eps) |
(* 27/112000 eps) |
(* 27/112000 eps) |
(* 27/112000 eps) |
(* 27/112000 eps) |
(* 27/112000 eps) |
(* 27/112000 eps) |
(* 27/112000 eps) |
(* 27/112000 eps) |
(* -1/6 (pow eps 3)) |
(* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)) |
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) |
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6)) |
(* -1 eps) |
(* eps (- (/ (sin eps) eps) 1)) |
(* eps (- (/ (sin eps) eps) 1)) |
(* eps (- (/ (sin eps) eps) 1)) |
(* -1 eps) |
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps))))) |
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps))))) |
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps))))) |
(/ 3 (pow eps 2)) |
(/ (+ 3 (* -17/10 (pow eps 2))) (pow eps 2)) |
(/ (+ 3 (* (pow eps 2) (- (* 307/1400 (pow eps 2)) 17/10))) (pow eps 2)) |
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (+ 307/1400 (* -1247/126000 (pow eps 2)))) 17/10))) (pow eps 2)) |
(* -1 (/ (sin eps) eps)) |
(/ (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps) |
(/ (- (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2))))) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps) |
(/ (- (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 4) (* (pow eps 3) (pow (cos eps) 3))))) (+ (/ (pow (sin eps) 2) (* eps (cos eps))) (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2))))) eps) |
(* -1 (/ (sin eps) eps)) |
(* -1 (/ (+ (sin eps) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps)) |
(* -1 (/ (+ (sin eps) (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (cos eps))) eps))) eps)) |
(* -1 (/ (+ (sin eps) (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 4) (* eps (pow (cos eps) 3))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 2)))) eps)) (/ (pow (sin eps) 2) (cos eps))) eps))) eps)) |
| Outputs |
|---|
-1/2 |
#s(literal -1/2 binary64) |
(- (* 9/40 (pow eps 2)) 1/2) |
(fma.f64 #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 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
(* 27/112000 (pow eps 6)) |
(*.f64 #s(literal 27/112000 binary64) (pow.f64 eps #s(literal 6 binary64))) |
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps))) (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))) |
(*.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (+.f64 (+.f64 #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)))))) |
(* 27/112000 (pow eps 6)) |
(*.f64 #s(literal 27/112000 binary64) (pow.f64 eps #s(literal 6 binary64))) |
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps))) (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))) |
(*.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (+.f64 (+.f64 #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 eps 2) |
(*.f64 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) |
(pow eps 2) |
(*.f64 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) |
(pow eps 2) |
(*.f64 eps eps) |
(pow eps 2) |
(*.f64 eps eps) |
9/40 |
#s(literal 9/40 binary64) |
(+ 9/40 (* -27/2800 (pow eps 2))) |
(fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) |
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) |
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) |
(* 27/112000 (pow eps 4)) |
(*.f64 #s(literal 27/112000 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps))) (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
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(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/ (sin eps) (cos eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/ (sin eps) (cos eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/ (sin eps) (cos eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/ (sin eps) (cos eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/ (sin eps) (cos eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 9/40 (pow eps 2)) 1/2) |
(fma.f64 #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 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (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) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) |
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps eps)) (-.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps))) #s(literal 1 binary64))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (/ (sin eps) (* eps (cos eps))) (+ (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))))) (+ (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))) (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 2))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 eps) (-.f64 (/.f64 (sin.f64 eps) (*.f64 (*.f64 eps eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 eps (cos.f64 eps)))) (/.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))))) (-.f64 (/.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))) eps) (/.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) |
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) (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* eps (cos eps))))) (/ (sin eps) (cos eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps))) eps) (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))))) eps)) |
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (cos eps)))) eps))) (/ (sin eps) (cos eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))))) eps) (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))))) eps)) |
(/ -3 (pow eps 3)) |
(/.f64 #s(literal -3 binary64) (*.f64 eps (*.f64 eps eps))) |
(/ (- (* 6/5 (pow eps 2)) 3) (pow eps 3)) |
(/.f64 (fma.f64 (*.f64 eps eps) #s(literal 6/5 binary64) #s(literal -3 binary64)) (*.f64 eps (*.f64 eps eps))) |
(/ (- (* (pow eps 2) (+ 6/5 (* 1/175 (pow eps 2)))) 3) (pow eps 3)) |
(/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/175 binary64)) #s(literal 6/5 binary64)) #s(literal -3 binary64)) (*.f64 eps (*.f64 eps eps))) |
(/ (- (* (pow eps 2) (+ 6/5 (* (pow eps 2) (+ 1/175 (* 2/7875 (pow eps 2)))))) 3) (pow eps 3)) |
(/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 2/7875 binary64) #s(literal 1/175 binary64)) #s(literal 6/5 binary64)) #s(literal -3 binary64)) (*.f64 eps (*.f64 eps eps))) |
(/ 1 eps) |
(/.f64 #s(literal 1 binary64) eps) |
(/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))) eps) |
(/ (- (+ 1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (* -1 (/ (sin eps) (* eps (cos eps))))) eps) |
(/.f64 (fma.f64 (sin.f64 eps) (-.f64 (/.f64 (sin.f64 eps) (*.f64 (*.f64 eps eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 eps (cos.f64 eps)))) #s(literal 1 binary64)) eps) |
(/ (- (+ 1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) eps) |
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 eps) (-.f64 (/.f64 (sin.f64 eps) (*.f64 (*.f64 eps eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 eps (cos.f64 eps)))) (/.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))))) eps) |
(/ 1 eps) |
(/.f64 #s(literal 1 binary64) eps) |
(* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))) eps) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))) (* -1 (/ (sin eps) (cos eps)))) eps)) 1) eps)) |
(/.f64 (fma.f64 (sin.f64 eps) (-.f64 (/.f64 (sin.f64 eps) (*.f64 (*.f64 eps eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 eps (cos.f64 eps)))) #s(literal 1 binary64)) eps) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)) (* -1 (/ (sin eps) (cos eps)))) eps)) 1) eps)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 3 binary64))))) (*.f64 (sin.f64 eps) (-.f64 (/.f64 (sin.f64 eps) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 eps))))) eps)) eps) |
(* 27/112000 eps) |
(*.f64 eps #s(literal 27/112000 binary64)) |
(* 27/112000 eps) |
(*.f64 eps #s(literal 27/112000 binary64)) |
(* 27/112000 eps) |
(*.f64 eps #s(literal 27/112000 binary64)) |
(* 27/112000 eps) |
(*.f64 eps #s(literal 27/112000 binary64)) |
(* 27/112000 eps) |
(*.f64 eps #s(literal 27/112000 binary64)) |
(* 27/112000 eps) |
(*.f64 eps #s(literal 27/112000 binary64)) |
(* 27/112000 eps) |
(*.f64 eps #s(literal 27/112000 binary64)) |
(* 27/112000 eps) |
(*.f64 eps #s(literal 27/112000 binary64)) |
(* 27/112000 eps) |
(*.f64 eps #s(literal 27/112000 binary64)) |
(* 27/112000 eps) |
(*.f64 eps #s(literal 27/112000 binary64)) |
(* 27/112000 eps) |
(*.f64 eps #s(literal 27/112000 binary64)) |
(* 27/112000 eps) |
(*.f64 eps #s(literal 27/112000 binary64)) |
(* -1/6 (pow eps 3)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -1/6 binary64)) |
(* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)) |
(*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) |
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(* -1 eps) |
(neg.f64 eps) |
(* eps (- (/ (sin eps) eps) 1)) |
(fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps)) |
(* eps (- (/ (sin eps) eps) 1)) |
(fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps)) |
(* eps (- (/ (sin eps) eps) 1)) |
(fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps)) |
(* -1 eps) |
(neg.f64 eps) |
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps))))) |
(fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps)) |
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps))))) |
(fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps)) |
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps))))) |
(fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps)) |
(/ 3 (pow eps 2)) |
(/.f64 #s(literal 3 binary64) (*.f64 eps eps)) |
(/ (+ 3 (* -17/10 (pow eps 2))) (pow eps 2)) |
(/.f64 (fma.f64 (*.f64 eps eps) #s(literal -17/10 binary64) #s(literal 3 binary64)) (*.f64 eps eps)) |
(/ (+ 3 (* (pow eps 2) (- (* 307/1400 (pow eps 2)) 17/10))) (pow eps 2)) |
(/.f64 (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 307/1400 binary64) #s(literal -17/10 binary64))) #s(literal 3 binary64)) (*.f64 eps eps)) |
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (+ 307/1400 (* -1247/126000 (pow eps 2)))) 17/10))) (pow eps 2)) |
(/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1247/126000 binary64) #s(literal 307/1400 binary64)) #s(literal -17/10 binary64)) #s(literal 3 binary64)) (*.f64 eps eps)) |
(* -1 (/ (sin eps) eps)) |
(/.f64 (sin.f64 eps) (neg.f64 eps)) |
(/ (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps) |
(/.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))) eps) |
(/ (- (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2))))) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps) |
(/.f64 (-.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 (*.f64 eps eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) eps) |
(/ (- (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 4) (* (pow eps 3) (pow (cos eps) 3))))) (+ (/ (pow (sin eps) 2) (* eps (cos eps))) (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2))))) eps) |
(/.f64 (-.f64 (-.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 (*.f64 eps eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))))) eps) |
(* -1 (/ (sin eps) eps)) |
(/.f64 (sin.f64 eps) (neg.f64 eps)) |
(* -1 (/ (+ (sin eps) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps)) |
(/.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))) eps) |
(* -1 (/ (+ (sin eps) (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (cos eps))) eps))) eps)) |
(/.f64 (-.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 (*.f64 eps eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) eps) |
(* -1 (/ (+ (sin eps) (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 4) (* eps (pow (cos eps) 3))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 2)))) eps)) (/ (pow (sin eps) 2) (cos eps))) eps))) eps)) |
(/.f64 (+.f64 (sin.f64 eps) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (*.f64 eps (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 3 binary64))))) (*.f64 (sin.f64 eps) (*.f64 (sin.f64 eps) (-.f64 (/.f64 (sin.f64 eps) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))))) eps)) (neg.f64 eps)) |
Compiled 30 983 to 2 239 computations (92.8% saved)
11 alts after pruning (5 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 156 | 3 | 1 159 |
| Fresh | 1 | 2 | 3 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 157 | 11 | 1 168 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 1.1% | (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) eps (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))) |
| ✓ | 99.9% | (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
| ✓ | 99.7% | (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
| ▶ | 99.6% | (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
| ▶ | 0.8% | (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps)) |
| ✓ | 1.1% | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| ▶ | 1.0% | (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps))) |
| ▶ | 0.8% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps)) (-.f64 (sin.f64 eps) eps)) |
| ✓ | 1.1% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps)) |
| ▶ | 1.8% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
| ✓ | 99.4% | #s(literal -1/2 binary64) |
Compiled 263 to 151 computations (42.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps)) |
| ✓ | cost-diff | 320 | (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps)) (-.f64 (sin.f64 eps) eps)) |
| ✓ | cost-diff | 0 | (-.f64 eps (sin.f64 eps)) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps)) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) |
| ✓ | cost-diff | 192 | (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps) |
| ✓ | cost-diff | 0 | (tan.f64 eps) |
| ✓ | cost-diff | 0 | (-.f64 (tan.f64 eps) eps) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 eps eps) |
| ✓ | cost-diff | 0 | (*.f64 eps (*.f64 eps eps)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps))) |
| ✓ | cost-diff | 0 | (*.f64 eps eps) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
| 17 146× | lower-fma.f32 |
| 17 130× | lower-fma.f64 |
| 5 082× | lower-+.f64 |
| 5 082× | lower-+.f32 |
| 4 664× | lower-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 321 |
| 0 | 80 | 307 |
| 1 | 186 | 295 |
| 2 | 586 | 292 |
| 3 | 1843 | 292 |
| 4 | 4863 | 292 |
| 5 | 7761 | 292 |
| 0 | 8958 | 292 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(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) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) |
(*.f64 eps (*.f64 eps eps)) |
eps |
(*.f64 eps eps) |
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) |
(fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) |
#s(literal -1/362880 binary64) |
#s(literal 1/5040 binary64) |
#s(literal -1/120 binary64) |
#s(literal 1/6 binary64) |
(-.f64 eps (tan.f64 eps)) |
(tan.f64 eps) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) |
#s(literal 1 binary64) |
(-.f64 (tan.f64 eps) eps) |
(tan.f64 eps) |
eps |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(*.f64 eps (*.f64 eps eps)) |
(*.f64 eps eps) |
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) |
#s(literal 1/362880 binary64) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps)) |
(-.f64 eps (sin.f64 eps)) |
eps |
(sin.f64 eps) |
(fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps) |
(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) |
#s(literal 1 binary64) |
(neg.f64 (cos.f64 eps)) |
(cos.f64 eps) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps)) (-.f64 (sin.f64 eps) eps)) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps)) |
#s(literal 1 binary64) |
(-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps) |
(*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) |
(sin.f64 eps) |
eps |
(/.f64 #s(literal 1 binary64) (cos.f64 eps)) |
(cos.f64 eps) |
(-.f64 (sin.f64 eps) eps) |
| Outputs |
|---|
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(fma.f64 eps (*.f64 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) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps))) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) |
(*.f64 eps (*.f64 eps eps)) |
eps |
(*.f64 eps eps) |
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) |
(fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) |
(fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) |
#s(literal -1/362880 binary64) |
#s(literal 1/5040 binary64) |
#s(literal -1/120 binary64) |
#s(literal 1/6 binary64) |
(-.f64 eps (tan.f64 eps)) |
(tan.f64 eps) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 eps eps) (/.f64 (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) (-.f64 (tan.f64 eps) eps))) |
(/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) |
#s(literal 1 binary64) |
(-.f64 (tan.f64 eps) eps) |
(tan.f64 eps) |
eps |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(*.f64 eps (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))) |
(*.f64 eps (*.f64 eps eps)) |
(*.f64 eps eps) |
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) |
#s(literal 1/362880 binary64) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps)) |
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(-.f64 eps (sin.f64 eps)) |
eps |
(sin.f64 eps) |
(fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps) |
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) |
(/.f64 #s(literal -1 binary64) (cos.f64 eps)) |
#s(literal 1 binary64) |
(neg.f64 (cos.f64 eps)) |
(cos.f64 eps) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps)) (-.f64 (sin.f64 eps) eps)) |
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps)) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) eps)) |
#s(literal 1 binary64) |
(-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) eps) |
(*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(sin.f64 eps) |
eps |
(/.f64 #s(literal 1 binary64) (cos.f64 eps)) |
(cos.f64 eps) |
(-.f64 (sin.f64 eps) eps) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps)) |
| ✓ | accuracy | 69.4% | (-.f64 (sin.f64 eps) eps) |
| ✓ | accuracy | 69.4% | (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps) |
| ✓ | accuracy | 32.4% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps)) (-.f64 (sin.f64 eps) eps)) |
| ✓ | accuracy | 100.0% | (cos.f64 eps) |
| ✓ | accuracy | 69.4% | (-.f64 eps (sin.f64 eps)) |
| ✓ | accuracy | 69.4% | (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps) |
| ✓ | accuracy | 34.6% | (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps)) |
| ✓ | accuracy | 99.8% | (*.f64 eps (*.f64 eps eps)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
| ✓ | accuracy | 69.4% | (-.f64 (tan.f64 eps) eps) |
| ✓ | accuracy | 32.4% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 eps (*.f64 eps eps)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) |
| ✓ | accuracy | 69.4% | (-.f64 eps (tan.f64 eps)) |
| ✓ | accuracy | 34.6% | (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps))) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 eps eps) |
| 405.0ms | 141× | 2 | valid |
| 73.0ms | 76× | 1 | valid |
| 69.0ms | 37× | 3 | valid |
| 1.0ms | 2× | 0 | valid |
Compiled 350 to 52 computations (85.1% saved)
ival-tan: 166.0ms (33.5% of total)ival-sin: 74.0ms (14.9% of total)ival-cos: 54.0ms (10.9% of total)const: 50.0ms (10.1% of total)adjust: 47.0ms (9.5% of total)ival-mult: 43.0ms (8.7% of total)ival-div: 21.0ms (4.2% of total)ival-add: 21.0ms (4.2% of total)ival-sub: 17.0ms (3.4% of total)ival-neg: 3.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(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 (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 eps (*.f64 eps eps)) (patch (*.f64 eps (*.f64 eps eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) #<representation binary64>) () ()) |
#s(alt (-.f64 (tan.f64 eps) eps) (patch (-.f64 (tan.f64 eps) eps) #<representation binary64>) () ()) |
#s(alt (tan.f64 eps) (patch (tan.f64 eps) #<representation binary64>) () ()) |
#s(alt (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps) (patch (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) (patch (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps)) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps)) #<representation binary64>) () ()) |
#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps)) (-.f64 (sin.f64 eps) eps)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps)) (-.f64 (sin.f64 eps) eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) (patch (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps)) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps) (patch (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps) #<representation binary64>) () ()) |
#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ()) |
#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ()) |
#s(alt (-.f64 (sin.f64 eps) eps) (patch (-.f64 (sin.f64 eps) eps) #<representation binary64>) () ()) |
| Outputs |
|---|
#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 (* 9/40 (pow eps 2)) (taylor inf 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) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) (taylor inf 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) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) (taylor inf 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) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) (taylor inf 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)) (taylor -inf 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) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) (taylor -inf 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) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) (taylor -inf 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) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) (taylor -inf 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 (pow eps 2) (taylor inf eps) (#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 2) (taylor inf eps) (#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 2) (taylor inf eps) (#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 2) (taylor inf eps) (#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 2) (taylor -inf eps) (#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 2) (taylor -inf eps) (#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 2) (taylor -inf eps) (#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 2) (taylor -inf eps) (#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())) ()) |
#s(alt -1/2 (taylor 0 eps) (#s(alt (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 9/40 (pow eps 2)) 1/2) (taylor 0 eps) (#s(alt (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.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 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.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 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/362880 (pow eps 8)) (taylor inf eps) (#s(alt (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880)) (taylor inf eps) (#s(alt (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 8) (- (/ 1/5040 (pow eps 2)) (+ 1/362880 (+ (* 1/362880 (/ (sin eps) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))) (taylor inf eps) (#s(alt (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 8) (- (+ (/ 1/5040 (pow eps 2)) (/ (* (sin eps) (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* (pow eps 3) (cos eps)))) (+ 1/362880 (+ (* 1/362880 (/ (sin eps) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))) (taylor inf eps) (#s(alt (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/362880 (pow eps 8)) (taylor -inf eps) (#s(alt (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880)) (taylor -inf eps) (#s(alt (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 8) (- (* -1 (/ (- (* -1 (/ (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* -1/362880 (/ (sin eps) (cos eps)))) eps)) 1/362880)) (taylor -inf eps) (#s(alt (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 8) (- (* -1 (/ (- (* -1 (/ (- (+ 1/5040 (/ (* (sin eps) (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* -1/362880 (/ (sin eps) (cos eps)))) eps)) 1/362880)) (taylor -inf eps) (#s(alt (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow eps 3)) (taylor 0 eps) (#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))) (taylor 0 eps) (#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 eps) (taylor inf eps) (#s(alt (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps) (patch (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps) #<representation binary64>) () ())) ()) |
#s(alt (* eps (- (/ (sin eps) (* eps (cos eps))) 1)) (taylor inf eps) (#s(alt (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps) (patch (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps) #<representation binary64>) () ())) ()) |
#s(alt (* eps (- (/ (sin eps) (* eps (cos eps))) 1)) (taylor inf eps) (#s(alt (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps) (patch (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps) #<representation binary64>) () ())) ()) |
#s(alt (* eps (- (/ (sin eps) (* eps (cos eps))) 1)) (taylor inf eps) (#s(alt (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps) (patch (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 eps) (taylor -inf eps) (#s(alt (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps) (patch (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))) (taylor -inf eps) (#s(alt (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps) (patch (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))) (taylor -inf eps) (#s(alt (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps) (patch (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))) (taylor -inf eps) (#s(alt (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps) (patch (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) 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 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 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>) () ())) ()) |
#s(alt (* -1/6 (pow eps 3)) (taylor 0 eps) (#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)) (taylor 0 eps) (#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) (taylor 0 eps) (#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6)) (taylor 0 eps) (#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/362880 (pow eps 9)) (taylor inf eps) (#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))) (taylor inf eps) (#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))) (taylor inf eps) (#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))) (taylor inf eps) (#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/362880 (pow eps 9)) (taylor -inf eps) (#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))) (taylor -inf eps) (#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))) (taylor -inf eps) (#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))) (taylor -inf eps) (#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/2 (pow eps 2))) (taylor 0 eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (taylor 0 eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))) (taylor 0 eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ()) |
#s(alt (cos eps) (taylor inf eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ()) |
#s(alt (cos eps) (taylor inf eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ()) |
#s(alt (cos eps) (taylor inf eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ()) |
#s(alt (cos eps) (taylor inf eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ()) |
#s(alt (cos eps) (taylor -inf eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ()) |
#s(alt (cos eps) (taylor -inf eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ()) |
#s(alt (cos eps) (taylor -inf eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ()) |
#s(alt (cos eps) (taylor -inf eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow eps 3)) (taylor 0 eps) (#s(alt (-.f64 (sin.f64 eps) eps) (patch (-.f64 (sin.f64 eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)) (taylor 0 eps) (#s(alt (-.f64 (sin.f64 eps) eps) (patch (-.f64 (sin.f64 eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) (taylor 0 eps) (#s(alt (-.f64 (sin.f64 eps) eps) (patch (-.f64 (sin.f64 eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6)) (taylor 0 eps) (#s(alt (-.f64 (sin.f64 eps) eps) (patch (-.f64 (sin.f64 eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 eps) (taylor inf eps) (#s(alt (-.f64 (sin.f64 eps) eps) (patch (-.f64 (sin.f64 eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (* eps (- (/ (sin eps) eps) 1)) (taylor inf eps) (#s(alt (-.f64 (sin.f64 eps) eps) (patch (-.f64 (sin.f64 eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (* eps (- (/ (sin eps) eps) 1)) (taylor inf eps) (#s(alt (-.f64 (sin.f64 eps) eps) (patch (-.f64 (sin.f64 eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (* eps (- (/ (sin eps) eps) 1)) (taylor inf eps) (#s(alt (-.f64 (sin.f64 eps) eps) (patch (-.f64 (sin.f64 eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 eps) (taylor -inf eps) (#s(alt (-.f64 (sin.f64 eps) eps) (patch (-.f64 (sin.f64 eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps))))) (taylor -inf eps) (#s(alt (-.f64 (sin.f64 eps) eps) (patch (-.f64 (sin.f64 eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps))))) (taylor -inf eps) (#s(alt (-.f64 (sin.f64 eps) eps) (patch (-.f64 (sin.f64 eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps))))) (taylor -inf eps) (#s(alt (-.f64 (sin.f64 eps) eps) (patch (-.f64 (sin.f64 eps) eps) #<representation binary64>) () ())) ()) |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | eps | @ | 0 | (* (/ 1 (- (tan eps) eps)) (* (* eps (* eps eps)) (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) 1/362880) -1/5040)) 1/120)) -1/6))) |
| 1.0ms | eps | @ | inf | (/ (* (* eps (* eps eps)) (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -1/362880) 1/5040)) -1/120)) 1/6)) (- eps (tan eps))) |
| 1.0ms | eps | @ | -inf | (* (/ 1 (- (tan eps) eps)) (* (* eps (* eps eps)) (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) 1/362880) -1/5040)) 1/120)) -1/6))) |
| 1.0ms | eps | @ | -inf | (/ (- eps (sin eps)) (+ (* (sin eps) (/ 1 (neg (cos eps)))) eps)) |
| 1.0ms | eps | @ | -inf | (/ (* (* eps (* eps eps)) (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -1/362880) 1/5040)) -1/120)) 1/6)) (- eps (tan eps))) |
| 1× | batch-egg-rewrite |
| 5 024× | lower-*.f32 |
| 5 010× | lower-*.f64 |
| 4 918× | lower-fma.f32 |
| 4 902× | lower-fma.f64 |
| 4 408× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 211 |
| 0 | 80 | 183 |
| 1 | 381 | 166 |
| 2 | 2980 | 166 |
| 0 | 10671 | 166 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(*.f64 eps eps) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) |
(*.f64 eps (*.f64 eps eps)) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) |
(-.f64 (tan.f64 eps) eps) |
(tan.f64 eps) |
(fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps) |
(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) |
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps)) |
(-.f64 eps (sin.f64 eps)) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps)) (-.f64 (sin.f64 eps) eps)) |
(*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps)) |
(-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps) |
(-.f64 eps (tan.f64 eps)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(cos.f64 eps) |
(-.f64 (sin.f64 eps) eps) |
| Outputs |
|---|
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64))) |
(+.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 81/1600 binary64)) (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 81/1600 binary64)) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64))))) |
(fma.f64 eps (*.f64 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)) |
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 eps #s(literal 9/40 binary64)) eps #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps eps) #s(literal -9/80 binary64))) (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 729/64000 binary64)) #s(literal -1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal -1/4 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps eps) #s(literal -9/80 binary64))) (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 729/64000 binary64)) #s(literal -1/8 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal -1/4 binary64))))) |
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 729/64000 binary64)) #s(literal -1/8 binary64)) (-.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps eps) #s(literal -9/80 binary64)))) |
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 729/64000 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 81/1600 binary64)) (*.f64 (*.f64 eps eps) #s(literal -9/80 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal -1/4 binary64)) (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 729/64000 binary64)) #s(literal -1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps eps) #s(literal -9/80 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 729/64000 binary64)) #s(literal -1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 81/1600 binary64)) (*.f64 (*.f64 eps eps) #s(literal -9/80 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 81/1600 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 81/1600 binary64)) (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 729/64000 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps eps) #s(literal -9/80 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 81/1600 binary64)))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps eps) #s(literal -9/80 binary64))) (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 729/64000 binary64)) #s(literal -1/8 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 729/64000 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps eps) #s(literal -9/80 binary64))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64))) |
(pow.f64 eps #s(literal 2 binary64)) |
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 eps) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 2 binary64)) |
(*.f64 eps eps) |
(*.f64 (neg.f64 eps) (neg.f64 eps)) |
(*.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 eps (tan.f64 eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (tan.f64 eps) eps)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 (tan.f64 eps) eps))) |
(neg.f64 (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 (tan.f64 eps) eps))) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (+.f64 eps (tan.f64 eps))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps (tan.f64 eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 eps (tan.f64 eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 eps (tan.f64 eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 eps (tan.f64 eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 eps (tan.f64 eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (neg.f64 eps) (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (-.f64 (tan.f64 eps) eps)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 eps) (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))) (+.f64 eps (tan.f64 eps))) |
(/.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (+.f64 eps (tan.f64 eps))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 eps) (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))))) (-.f64 (tan.f64 eps) eps)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (-.f64 (tan.f64 eps) eps)) |
(pow.f64 (/.f64 (+.f64 eps (tan.f64 eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (+.f64 eps (tan.f64 eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 eps (*.f64 (*.f64 eps eps) (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) (+.f64 eps (tan.f64 eps))))) |
(*.f64 eps (*.f64 (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))))) |
(*.f64 eps (/.f64 (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (+.f64 eps (tan.f64 eps)))) |
(*.f64 (*.f64 eps eps) (*.f64 eps (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) (+.f64 eps (tan.f64 eps))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) (+.f64 eps (tan.f64 eps)))) |
(*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))))) |
(*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) (/.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 eps (tan.f64 eps)))) |
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (+.f64 eps (tan.f64 eps)))) |
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(*.f64 (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) eps) |
(*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (*.f64 eps eps)) |
(*.f64 (*.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 eps (*.f64 eps eps))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 eps)) #s(literal -1 binary64)))) |
(+.f64 #s(literal 0 binary64) (cos.f64 eps)) |
(cos.f64 eps) |
(-.f64 #s(literal 0 binary64) (cos.f64 eps)) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 #s(literal 0 binary64) (cos.f64 eps))))) (/.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 #s(literal 0 binary64) (cos.f64 eps)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (cos.f64 eps)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (cos.f64 eps))) |
(neg.f64 (cos.f64 eps)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) |
(/.f64 (cos.f64 eps) #s(literal 1 binary64)) |
(/.f64 (cos.f64 eps) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 #s(literal 0 binary64) (cos.f64 eps))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (cos.f64 eps)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 #s(literal 0 binary64) (cos.f64 eps)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))) (cos.f64 eps)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 #s(literal 0 binary64) (cos.f64 eps))))) |
(pow.f64 (cos.f64 eps) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 eps)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 eps)) |
(*.f64 (cos.f64 eps) #s(literal 1 binary64)) |
(*.f64 (cos.f64 eps) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (cos.f64 eps)) |
(+.f64 (sin.f64 eps) (neg.f64 eps)) |
(+.f64 (sin.f64 eps) (*.f64 #s(literal 1 binary64) (neg.f64 eps))) |
(+.f64 (sin.f64 eps) (*.f64 (neg.f64 eps) #s(literal 1 binary64))) |
(+.f64 (neg.f64 eps) (sin.f64 eps)) |
(-.f64 (sin.f64 eps) eps) |
(-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 eps (+.f64 eps (sin.f64 eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))) (/.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (+.f64 eps (sin.f64 eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))))) |
(-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (+.f64 eps (sin.f64 eps))) (/.f64 (*.f64 eps eps) (+.f64 eps (sin.f64 eps)))) |
(-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 (sin.f64 eps) (neg.f64 eps))) (/.f64 (*.f64 eps eps) (-.f64 (sin.f64 eps) (neg.f64 eps)))) |
(fma.f64 #s(literal 1 binary64) (sin.f64 eps) (neg.f64 eps)) |
(fma.f64 #s(literal 1 binary64) (sin.f64 eps) (*.f64 #s(literal 1 binary64) (neg.f64 eps))) |
(fma.f64 #s(literal 1 binary64) (sin.f64 eps) (*.f64 (neg.f64 eps) #s(literal 1 binary64))) |
(fma.f64 (sin.f64 eps) #s(literal 1 binary64) (neg.f64 eps)) |
(fma.f64 (sin.f64 eps) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 eps))) |
(fma.f64 (sin.f64 eps) #s(literal 1 binary64) (*.f64 (neg.f64 eps) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) eps (sin.f64 eps)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (+.f64 eps (sin.f64 eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps (sin.f64 eps)) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 eps eps)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 eps (+.f64 eps (sin.f64 eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 eps (sin.f64 eps)) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 eps eps))))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (fma.f64 eps (+.f64 eps (sin.f64 eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 (*.f64 eps eps) (*.f64 (sin.f64 eps) (neg.f64 eps))))) |
(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 eps eps)) (+.f64 eps (sin.f64 eps))) |
(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 eps eps)) (-.f64 (sin.f64 eps) (neg.f64 eps))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps)))) (fma.f64 eps (+.f64 eps (sin.f64 eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 eps eps))) (+.f64 eps (sin.f64 eps))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps)))) (neg.f64 (fma.f64 eps (+.f64 eps (sin.f64 eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps)))) (neg.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 (*.f64 eps eps) (*.f64 (sin.f64 eps) (neg.f64 eps)))))) |
(/.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 eps eps))) (neg.f64 (+.f64 eps (sin.f64 eps)))) |
(/.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 eps eps))) (neg.f64 (-.f64 (sin.f64 eps) (neg.f64 eps)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 eps (+.f64 eps (sin.f64 eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))) (*.f64 (fma.f64 eps (+.f64 eps (sin.f64 eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (*.f64 eps (*.f64 eps eps)))) (*.f64 (fma.f64 eps (+.f64 eps (sin.f64 eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (fma.f64 eps (+.f64 eps (sin.f64 eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (+.f64 eps (sin.f64 eps))) (*.f64 (+.f64 eps (sin.f64 eps)) (*.f64 eps eps))) (*.f64 (+.f64 eps (sin.f64 eps)) (+.f64 eps (sin.f64 eps)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))))) (neg.f64 (fma.f64 eps (+.f64 eps (sin.f64 eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 eps eps)))) (neg.f64 (+.f64 eps (sin.f64 eps)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))))) (neg.f64 (neg.f64 (fma.f64 eps (+.f64 eps (sin.f64 eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 eps eps)))) (neg.f64 (neg.f64 (+.f64 eps (sin.f64 eps))))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps)) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (*.f64 #s(literal 1 binary64) (neg.f64 eps))) (*.f64 (sin.f64 eps) (*.f64 #s(literal 1 binary64) (neg.f64 eps)))))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 (*.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 (neg.f64 eps) #s(literal 1 binary64))) (*.f64 (sin.f64 eps) (*.f64 (neg.f64 eps) #s(literal 1 binary64)))))) |
(/.f64 (fma.f64 (*.f64 eps eps) (neg.f64 eps) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 (neg.f64 eps) (sin.f64 eps))))) |
(pow.f64 (/.f64 (fma.f64 eps (+.f64 eps (sin.f64 eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 eps (sin.f64 eps)) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 eps eps))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 (sin.f64 eps) eps)) |
(*.f64 (-.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) |
(*.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (sin.f64 eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))))) |
(*.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (+.f64 eps (sin.f64 eps)))) |
| 1× | egg-herbie |
| 10 240× | lower-fma.f64 |
| 10 240× | lower-fma.f32 |
| 5 174× | lower-*.f64 |
| 5 174× | lower-*.f32 |
| 4 358× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 382 | 3035 |
| 1 | 1106 | 2937 |
| 2 | 3459 | 2839 |
| 0 | 8367 | 2694 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1/2 |
(- (* 9/40 (pow eps 2)) 1/2) |
(- (* 9/40 (pow eps 2)) 1/2) |
(- (* 9/40 (pow eps 2)) 1/2) |
(* 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))))) |
(* 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) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 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) |
(* -1/362880 (pow eps 8)) |
(* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880)) |
(* (pow eps 8) (- (/ 1/5040 (pow eps 2)) (+ 1/362880 (+ (* 1/362880 (/ (sin eps) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))) |
(* (pow eps 8) (- (+ (/ 1/5040 (pow eps 2)) (/ (* (sin eps) (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* (pow eps 3) (cos eps)))) (+ 1/362880 (+ (* 1/362880 (/ (sin eps) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))) |
(* -1/362880 (pow eps 8)) |
(* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880)) |
(* (pow eps 8) (- (* -1 (/ (- (* -1 (/ (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* -1/362880 (/ (sin eps) (cos eps)))) eps)) 1/362880)) |
(* (pow eps 8) (- (* -1 (/ (- (* -1 (/ (- (+ 1/5040 (/ (* (sin eps) (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* -1/362880 (/ (sin eps) (cos eps)))) eps)) 1/362880)) |
(* 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)))) |
(* -1/362880 (pow eps 9)) |
(* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)) |
(* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4))))) |
(* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4))))) |
(* -1/362880 (pow eps 9)) |
(* -1 (* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2)))))) |
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2)))))) |
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6))))))) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
-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) |
(* -1/362880 (pow eps 8)) |
(* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880)) |
(* (pow eps 8) (- (/ 1/5040 (pow eps 2)) (+ 1/362880 (+ (* 1/362880 (/ (sin eps) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))) |
(* (pow eps 8) (- (+ (/ 1/5040 (pow eps 2)) (/ (* (sin eps) (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* (pow eps 3) (cos eps)))) (+ 1/362880 (+ (* 1/362880 (/ (sin eps) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))) |
(* -1/362880 (pow eps 8)) |
(* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880)) |
(* (pow eps 8) (- (* -1 (/ (+ (* -1 (/ (+ 1/5040 (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* 1/362880 (/ (sin eps) (cos eps)))) eps)) 1/362880)) |
(* (pow eps 8) (- (* -1 (/ (+ (* -1 (/ (+ 1/5040 (+ (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (+ 1/5040 (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* eps (cos eps))))) eps)) (* 1/362880 (/ (sin eps) (cos eps)))) eps)) 1/362880)) |
(/ 3 (pow eps 3)) |
(/ (+ 3 (* -6/5 (pow eps 2))) (pow eps 3)) |
(/ (+ 3 (* (pow eps 2) (- (* -1/175 (pow eps 2)) 6/5))) (pow eps 3)) |
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7875 (pow eps 2)) 1/175)) 6/5))) (pow eps 3)) |
(/ -1 eps) |
(/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps) |
(/ (- (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ 1 (/ (sin eps) (* eps (cos eps))))) eps) |
(/ (- (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) eps) |
(/ -1 eps) |
(* -1 (/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps))) eps)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps))) eps))) eps)) |
(* 1/3 (pow eps 3)) |
(* (pow eps 3) (+ 1/3 (* 2/15 (pow eps 2)))) |
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))) |
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2)))))))) |
(* -1 eps) |
(* eps (- (/ (sin eps) (* eps (cos eps))) 1)) |
(* eps (- (/ (sin eps) (* eps (cos eps))) 1)) |
(* eps (- (/ (sin eps) (* eps (cos eps))) 1)) |
(* -1 eps) |
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))) |
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))) |
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))) |
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)))))))) |
(/ (sin eps) (cos eps)) |
(/ (sin eps) (cos eps)) |
(/ (sin eps) (cos eps)) |
(/ (sin eps) (cos eps)) |
(/ (sin eps) (cos eps)) |
(/ (sin eps) (cos eps)) |
(/ (sin eps) (cos eps)) |
(/ (sin eps) (cos eps)) |
(* -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 (/ (sin eps) (* eps (cos eps)))))) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos 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))) |
-1 |
(- (* -1/2 (pow eps 2)) 1) |
(- (* (pow eps 2) (- (* -5/24 (pow eps 2)) 1/2)) 1) |
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -61/720 (pow eps 2)) 5/24)) 1/2)) 1) |
(/ -1 (cos eps)) |
(/ -1 (cos eps)) |
(/ -1 (cos eps)) |
(/ -1 (cos eps)) |
(/ -1 (cos eps)) |
(/ -1 (cos eps)) |
(/ -1 (cos eps)) |
(/ -1 (cos 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 |
(- (+ 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 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (* (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 (/ (+ (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps))) |
(* 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 (/ (sin eps) eps)))) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
eps |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
-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 |
(- (+ 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) (/ (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 |
(* 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)))))))) |
(/ (sin eps) (cos eps)) |
(/ (sin eps) (cos eps)) |
(/ (sin eps) (cos eps)) |
(/ (sin eps) (cos eps)) |
(/ (sin eps) (cos eps)) |
(/ (sin eps) (cos eps)) |
(/ (sin eps) (cos eps)) |
(/ (sin eps) (cos eps)) |
(/ 3 (pow eps 3)) |
(/ (+ 3 (* -6/5 (pow eps 2))) (pow eps 3)) |
(/ (+ 3 (* (pow eps 2) (- (* -1/175 (pow eps 2)) 6/5))) (pow eps 3)) |
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7875 (pow eps 2)) 1/175)) 6/5))) (pow eps 3)) |
(/ -1 eps) |
(/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps) |
(/ (- (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ 1 (/ (sin eps) (* eps (cos eps))))) eps) |
(/ (- (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) eps) |
(/ -1 eps) |
(* -1 (/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps))) eps)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps))) eps))) eps)) |
(* 1/3 (pow eps 3)) |
(* (pow eps 3) (+ 1/3 (* 2/15 (pow eps 2)))) |
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))) |
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2)))))))) |
(* -1 eps) |
(* eps (- (/ (sin eps) (* eps (cos eps))) 1)) |
(* eps (- (/ (sin eps) (* eps (cos eps))) 1)) |
(* eps (- (/ (sin eps) (* eps (cos eps))) 1)) |
(* -1 eps) |
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))) |
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))) |
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))) |
(* -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 (/ (sin eps) (* eps (cos eps)))))) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos 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))) |
(* -1/6 (pow eps 3)) |
(* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)) |
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) |
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6)) |
(* 1/362880 (pow eps 9)) |
(* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))) |
(* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))) |
(* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))) |
(* 1/362880 (pow eps 9)) |
(* -1 (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))) |
(* -1 (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))) |
(* -1 (* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))) |
1 |
(+ 1 (* -1/2 (pow eps 2))) |
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) |
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))) |
(cos eps) |
(cos eps) |
(cos eps) |
(cos eps) |
(cos eps) |
(cos eps) |
(cos eps) |
(cos eps) |
(* -1/6 (pow eps 3)) |
(* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)) |
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) |
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6)) |
(* -1 eps) |
(* eps (- (/ (sin eps) eps) 1)) |
(* eps (- (/ (sin eps) eps) 1)) |
(* eps (- (/ (sin eps) eps) 1)) |
(* -1 eps) |
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps))))) |
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps))))) |
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps))))) |
| Outputs |
|---|
-1/2 |
#s(literal -1/2 binary64) |
(- (* 9/40 (pow eps 2)) 1/2) |
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(- (* 9/40 (pow eps 2)) 1/2) |
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(- (* 9/40 (pow eps 2)) 1/2) |
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(* 9/40 (pow eps 2)) |
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) |
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) |
(*.f64 eps (*.f64 eps (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))) |
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) |
(*.f64 eps (*.f64 eps (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))) |
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) |
(*.f64 eps (*.f64 eps (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))) |
(* 9/40 (pow eps 2)) |
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) |
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) |
(*.f64 eps (*.f64 eps (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))) |
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) |
(*.f64 eps (*.f64 eps (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))) |
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) |
(*.f64 eps (*.f64 eps (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 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) |
(pow eps 2) |
(*.f64 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) |
(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 #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 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
(* -1/362880 (pow eps 8)) |
(*.f64 #s(literal -1/362880 binary64) (pow.f64 eps #s(literal 8 binary64))) |
(* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880)) |
(*.f64 (pow.f64 eps #s(literal 8 binary64)) (fma.f64 #s(literal -1/362880 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) #s(literal -1/362880 binary64))) |
(* (pow eps 8) (- (/ 1/5040 (pow eps 2)) (+ 1/362880 (+ (* 1/362880 (/ (sin eps) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))) |
(*.f64 (pow.f64 eps #s(literal 8 binary64)) (-.f64 (/.f64 (fma.f64 #s(literal -1/362880 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1/5040 binary64)) (*.f64 eps eps)) (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) #s(literal 1/362880 binary64) #s(literal 1/362880 binary64)))) |
(* (pow eps 8) (- (+ (/ 1/5040 (pow eps 2)) (/ (* (sin eps) (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* (pow eps 3) (cos eps)))) (+ 1/362880 (+ (* 1/362880 (/ (sin eps) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))) |
(*.f64 (pow.f64 eps #s(literal 8 binary64)) (fma.f64 (sin.f64 eps) (/.f64 (fma.f64 #s(literal -1/362880 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1/5040 binary64)) (*.f64 eps (*.f64 eps (*.f64 eps (cos.f64 eps))))) (-.f64 (/.f64 (fma.f64 #s(literal -1/362880 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1/5040 binary64)) (*.f64 eps eps)) (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) #s(literal 1/362880 binary64) #s(literal 1/362880 binary64))))) |
(* -1/362880 (pow eps 8)) |
(*.f64 #s(literal -1/362880 binary64) (pow.f64 eps #s(literal 8 binary64))) |
(* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880)) |
(*.f64 (pow.f64 eps #s(literal 8 binary64)) (fma.f64 #s(literal -1/362880 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) #s(literal -1/362880 binary64))) |
(* (pow eps 8) (- (* -1 (/ (- (* -1 (/ (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* -1/362880 (/ (sin eps) (cos eps)))) eps)) 1/362880)) |
(*.f64 (pow.f64 eps #s(literal 8 binary64)) (-.f64 #s(literal -1/362880 binary64) (/.f64 (fma.f64 #s(literal 1/362880 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (fma.f64 #s(literal 1/362880 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal -1/5040 binary64)) eps)) eps))) |
(* (pow eps 8) (- (* -1 (/ (- (* -1 (/ (- (+ 1/5040 (/ (* (sin eps) (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* -1/362880 (/ (sin eps) (cos eps)))) eps)) 1/362880)) |
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(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps) |
(* -1/6 (pow eps 3)) |
(*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) |
(* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)) |
(*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) |
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6)) |
(*.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(* 1/362880 (pow eps 9)) |
(*.f64 #s(literal 1/362880 binary64) (pow.f64 eps #s(literal 9 binary64))) |
(* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))) |
(*.f64 (pow.f64 eps #s(literal 9 binary64)) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 eps eps)))) |
(* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))) |
(*.f64 (pow.f64 eps #s(literal 9 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 eps eps))))) |
(* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))) |
(*.f64 (pow.f64 eps #s(literal 9 binary64)) (+.f64 #s(literal 1/362880 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (+.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 eps eps)) (/.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 6 binary64))))))) |
(* 1/362880 (pow eps 9)) |
(*.f64 #s(literal 1/362880 binary64) (pow.f64 eps #s(literal 9 binary64))) |
(* -1 (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))) |
(*.f64 (pow.f64 eps #s(literal 9 binary64)) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 eps eps)))) |
(* -1 (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))) |
(*.f64 (pow.f64 eps #s(literal 9 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 eps eps))))) |
(* -1 (* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))) |
(*.f64 (pow.f64 eps #s(literal 9 binary64)) (+.f64 #s(literal 1/362880 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (+.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 eps eps)) (/.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 6 binary64))))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow eps 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps eps) #s(literal 1 binary64)) |
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))) |
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos eps) |
(cos.f64 eps) |
(cos eps) |
(cos.f64 eps) |
(cos eps) |
(cos.f64 eps) |
(cos eps) |
(cos.f64 eps) |
(cos eps) |
(cos.f64 eps) |
(cos eps) |
(cos.f64 eps) |
(cos eps) |
(cos.f64 eps) |
(cos eps) |
(cos.f64 eps) |
(* -1/6 (pow eps 3)) |
(*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) |
(* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)) |
(*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) |
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6)) |
(*.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(* -1 eps) |
(neg.f64 eps) |
(* eps (- (/ (sin eps) eps) 1)) |
(-.f64 (/.f64 (*.f64 eps (sin.f64 eps)) eps) eps) |
(* eps (- (/ (sin eps) eps) 1)) |
(-.f64 (/.f64 (*.f64 eps (sin.f64 eps)) eps) eps) |
(* eps (- (/ (sin eps) eps) 1)) |
(-.f64 (/.f64 (*.f64 eps (sin.f64 eps)) eps) eps) |
(* -1 eps) |
(neg.f64 eps) |
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps))))) |
(-.f64 (/.f64 (*.f64 eps (sin.f64 eps)) eps) eps) |
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps))))) |
(-.f64 (/.f64 (*.f64 eps (sin.f64 eps)) eps) eps) |
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps))))) |
(-.f64 (/.f64 (*.f64 eps (sin.f64 eps)) eps) eps) |
Compiled 43 332 to 3 152 computations (92.7% saved)
12 alts after pruning (2 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 425 | 2 | 1 427 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 426 | 12 | 1 438 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 1.1% | (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) eps (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))) |
| ✓ | 99.9% | (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
| ✓ | 99.7% | (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
| ✓ | 99.6% | (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
| ▶ | 0.8% | (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps)) |
| ✓ | 1.1% | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| ✓ | 1.0% | (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps))) |
| ▶ | 31.7% | (*.f64 (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
| ✓ | 0.8% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps)) (-.f64 (sin.f64 eps) eps)) |
| ✓ | 1.1% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps)) |
| ✓ | 1.8% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
| ✓ | 99.4% | #s(literal -1/2 binary64) |
Compiled 211 to 116 computations (45% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 eps) |
| ✓ | cost-diff | 0 | (-.f64 eps (sin.f64 eps)) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps)) |
| ✓ | cost-diff | 192 | (fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps) |
| ✓ | cost-diff | 0 | (*.f64 eps eps) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) |
| ✓ | cost-diff | 2304 | (*.f64 (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
| 6 370× | lower-fma.f32 |
| 6 356× | lower-fma.f64 |
| 4 554× | lower-*.f32 |
| 4 546× | lower-*.f64 |
| 2 650× | lower-+.f64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 207 |
| 0 | 51 | 197 |
| 1 | 126 | 197 |
| 2 | 441 | 197 |
| 3 | 1628 | 189 |
| 4 | 6787 | 187 |
| 0 | 8560 | 187 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) |
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) |
(*.f64 eps eps) |
eps |
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) |
(fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) |
#s(literal -2/7875 binary64) |
#s(literal -1/175 binary64) |
#s(literal -6/5 binary64) |
#s(literal 3 binary64) |
(*.f64 eps (*.f64 eps eps)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) |
#s(literal 1/362880 binary64) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps)) |
(-.f64 eps (sin.f64 eps)) |
eps |
(sin.f64 eps) |
(fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps) |
(/.f64 #s(literal -1 binary64) (cos.f64 eps)) |
#s(literal -1 binary64) |
(cos.f64 eps) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64))) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) |
(/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64))) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) |
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64))) #s(literal -6/5 binary64)) #s(literal 3 binary64)) |
(*.f64 eps eps) |
eps |
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) |
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64))) #s(literal -6/5 binary64)) |
(fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) |
(fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64)) |
#s(literal -2/7875 binary64) |
#s(literal -1/175 binary64) |
#s(literal -6/5 binary64) |
#s(literal 3 binary64) |
(*.f64 eps (*.f64 eps eps)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) |
#s(literal 1/362880 binary64) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps)) |
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(-.f64 eps (sin.f64 eps)) |
eps |
(sin.f64 eps) |
(fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps) |
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(/.f64 #s(literal -1 binary64) (cos.f64 eps)) |
#s(literal -1 binary64) |
(cos.f64 eps) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cos.f64 eps) |
| ✓ | accuracy | 69.4% | (-.f64 eps (sin.f64 eps)) |
| ✓ | accuracy | 69.4% | (fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps) |
| ✓ | accuracy | 34.6% | (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps)) |
| ✓ | accuracy | 99.9% | (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) |
| ✓ | accuracy | 99.8% | (*.f64 eps (*.f64 eps eps)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
| ✓ | accuracy | 32.4% | (*.f64 (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
| 169.0ms | 141× | 2 | valid |
| 88.0ms | 37× | 3 | valid |
| 56.0ms | 76× | 1 | valid |
| 1.0ms | 2× | 0 | valid |
Compiled 235 to 36 computations (84.7% saved)
ival-sin: 110.0ms (39.4% of total)const: 34.0ms (12.2% of total)ival-cos: 33.0ms (11.8% of total)ival-mult: 30.0ms (10.8% of total)adjust: 27.0ms (9.7% of total)ival-add: 26.0ms (9.3% of total)ival-div: 15.0ms (5.4% of total)ival-sub: 4.0ms (1.4% 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 (*.f64 (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) (patch (*.f64 (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (patch (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (patch (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ()) |
#s(alt (fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps) (patch (fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps)) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) 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 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 eps (*.f64 eps eps)) (patch (*.f64 eps (*.f64 eps eps)) #<representation binary64>) () ()) |
#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt -1/2 (taylor 0 eps) (#s(alt (*.f64 (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) (patch (*.f64 (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 9/40 (pow eps 2)) 1/2) (taylor 0 eps) (#s(alt (*.f64 (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) (patch (*.f64 (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) (taylor 0 eps) (#s(alt (*.f64 (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) (patch (*.f64 (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 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 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) (patch (*.f64 (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/1428840000 (pow eps 12)) (taylor inf eps) (#s(alt (*.f64 (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) (patch (*.f64 (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 12) (- (* 11/317520000 (/ 1 (pow eps 2))) 1/1428840000)) (taylor inf eps) (#s(alt (*.f64 (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) (patch (*.f64 (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 12) (- (* 11/317520000 (/ 1 (pow eps 2))) (+ 1/1428840000 (/ 227/52920000 (pow eps 4))))) (taylor inf eps) (#s(alt (*.f64 (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) (patch (*.f64 (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 12) (- (+ (* 11/317520000 (/ 1 (pow eps 2))) (* 27/112000 (/ 1 (pow eps 6)))) (+ 1/1428840000 (/ 227/52920000 (pow eps 4))))) (taylor inf eps) (#s(alt (*.f64 (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) (patch (*.f64 (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/1428840000 (pow eps 12)) (taylor -inf eps) (#s(alt (*.f64 (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) (patch (*.f64 (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 12) (- (* 11/317520000 (/ 1 (pow eps 2))) 1/1428840000)) (taylor -inf eps) (#s(alt (*.f64 (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) (patch (*.f64 (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))) (taylor -inf eps) (#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))) (taylor -inf eps) (#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 3) (taylor 0 eps) (#s(alt (*.f64 eps (*.f64 eps eps)) (patch (*.f64 eps (*.f64 eps eps)) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 3) (taylor 0 eps) (#s(alt (*.f64 eps (*.f64 eps eps)) (patch (*.f64 eps (*.f64 eps eps)) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 3) (taylor 0 eps) (#s(alt (*.f64 eps (*.f64 eps eps)) (patch (*.f64 eps (*.f64 eps eps)) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 3) (taylor 0 eps) (#s(alt (*.f64 eps (*.f64 eps eps)) (patch (*.f64 eps (*.f64 eps eps)) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 3) (taylor inf eps) (#s(alt (*.f64 eps (*.f64 eps eps)) (patch (*.f64 eps (*.f64 eps eps)) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 3) (taylor inf eps) (#s(alt (*.f64 eps (*.f64 eps eps)) (patch (*.f64 eps (*.f64 eps eps)) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 3) (taylor inf eps) (#s(alt (*.f64 eps (*.f64 eps eps)) (patch (*.f64 eps (*.f64 eps eps)) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 3) (taylor inf eps) (#s(alt (*.f64 eps (*.f64 eps eps)) (patch (*.f64 eps (*.f64 eps eps)) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 3) (taylor -inf eps) (#s(alt (*.f64 eps (*.f64 eps eps)) (patch (*.f64 eps (*.f64 eps eps)) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 3) (taylor -inf eps) (#s(alt (*.f64 eps (*.f64 eps eps)) (patch (*.f64 eps (*.f64 eps eps)) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 3) (taylor -inf eps) (#s(alt (*.f64 eps (*.f64 eps eps)) (patch (*.f64 eps (*.f64 eps eps)) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 3) (taylor -inf eps) (#s(alt (*.f64 eps (*.f64 eps eps)) (patch (*.f64 eps (*.f64 eps eps)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/2 (pow eps 2))) (taylor 0 eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (taylor 0 eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))) (taylor 0 eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ()) |
#s(alt (cos eps) (taylor inf eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ()) |
#s(alt (cos eps) (taylor inf eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ()) |
#s(alt (cos eps) (taylor inf eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ()) |
#s(alt (cos eps) (taylor inf eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ()) |
#s(alt (cos eps) (taylor -inf eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ()) |
#s(alt (cos eps) (taylor -inf eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ()) |
#s(alt (cos eps) (taylor -inf eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ()) |
#s(alt (cos eps) (taylor -inf eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ()) |
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | inf | (* (/ (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -2/7875) -1/175)) -6/5)) 3) (* eps (* eps eps))) (* (* eps (* eps eps)) (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) 1/362880) -1/5040)) 1/120)) -1/6))) |
| 0.0ms | eps | @ | 0 | (* (/ (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -2/7875) -1/175)) -6/5)) 3) (* eps (* eps eps))) (* (* eps (* eps eps)) (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) 1/362880) -1/5040)) 1/120)) -1/6))) |
| 0.0ms | eps | @ | inf | (/ (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -2/7875) -1/175)) -6/5)) 3) (* eps (* eps eps))) |
| 0.0ms | eps | @ | -inf | (/ (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -2/7875) -1/175)) -6/5)) 3) (* eps (* eps eps))) |
| 0.0ms | eps | @ | -inf | (* (/ (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -2/7875) -1/175)) -6/5)) 3) (* eps (* eps eps))) (* (* eps (* eps eps)) (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) 1/362880) -1/5040)) 1/120)) -1/6))) |
| 1× | batch-egg-rewrite |
| 4 598× | lower-/.f32 |
| 4 592× | lower-/.f64 |
| 4 306× | lower-fma.f32 |
| 4 292× | lower-fma.f64 |
| 4 132× | lower-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 142 |
| 0 | 51 | 132 |
| 1 | 254 | 132 |
| 2 | 2118 | 126 |
| 0 | 8461 | 126 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) |
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) |
(*.f64 eps eps) |
(fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps) |
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps)) |
(-.f64 eps (sin.f64 eps)) |
(sin.f64 eps) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(*.f64 eps (*.f64 eps eps)) |
(cos.f64 eps) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 eps (*.f64 eps eps))))) (*.f64 (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64))))) |
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1/6 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))) |
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1/6 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 eps (*.f64 eps eps)))) (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))))) |
(+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 eps (*.f64 eps eps)))) (*.f64 (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64))))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 eps (*.f64 eps eps)))) (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))) |
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(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/216 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/216 binary64)) (*.f64 eps (*.f64 eps eps))) (-.f64 (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) (*.f64 eps (*.f64 eps eps))) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 eps (*.f64 eps eps)))) #s(literal 3 binary64)) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))))) (neg.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 eps (*.f64 eps eps)))) (-.f64 (*.f64 (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 eps (*.f64 eps eps))))) (*.f64 (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64)))))) (neg.f64 (-.f64 (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/216 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/216 binary64)) (*.f64 eps (*.f64 eps eps)))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) (*.f64 eps (*.f64 eps eps)))) (neg.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(/.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))) (pow.f64 (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 eps (*.f64 eps eps)))) #s(literal 3 binary64))) (fma.f64 (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 eps (*.f64 eps eps))))) (*.f64 (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 eps (*.f64 eps eps)))))))) |
(*.f64 eps (*.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 eps (*.f64 eps eps))) |
(*.f64 (*.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) eps) |
(*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (*.f64 eps eps)) |
(exp.f64 (*.f64 (log.f64 eps) #s(literal 3 binary64))) |
(pow.f64 eps #s(literal 3 binary64)) |
(pow.f64 (*.f64 eps eps) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 eps #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 3 binary64)) |
(*.f64 eps (*.f64 eps eps)) |
(*.f64 (*.f64 eps eps) eps) |
(*.f64 (pow.f64 eps #s(literal 3/2 binary64)) (pow.f64 eps #s(literal 3/2 binary64))) |
(cos.f64 eps) |
| 1× | egg-herbie |
| 11 722× | lower-fma.f64 |
| 11 722× | lower-fma.f32 |
| 4 654× | lower-*.f64 |
| 4 654× | lower-*.f32 |
| 3 766× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 262 | 1350 |
| 1 | 703 | 1313 |
| 2 | 2284 | 1275 |
| 3 | 6575 | 1249 |
| 0 | 8133 | 1195 |
| 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) |
(* -1/1428840000 (pow eps 12)) |
(* (pow eps 12) (- (* 11/317520000 (/ 1 (pow eps 2))) 1/1428840000)) |
(* (pow eps 12) (- (* 11/317520000 (/ 1 (pow eps 2))) (+ 1/1428840000 (/ 227/52920000 (pow eps 4))))) |
(* (pow eps 12) (- (+ (* 11/317520000 (/ 1 (pow eps 2))) (* 27/112000 (/ 1 (pow eps 6)))) (+ 1/1428840000 (/ 227/52920000 (pow eps 4))))) |
(* -1/1428840000 (pow eps 12)) |
(* (pow eps 12) (- (* 11/317520000 (/ 1 (pow eps 2))) 1/1428840000)) |
(* (pow eps 12) (- (* 11/317520000 (/ 1 (pow eps 2))) (+ 1/1428840000 (/ 227/52920000 (pow eps 4))))) |
(* (pow eps 12) (- (+ (* 11/317520000 (/ 1 (pow eps 2))) (* 27/112000 (/ 1 (pow eps 6)))) (+ 1/1428840000 (/ 227/52920000 (pow eps 4))))) |
(/ 3 (pow eps 3)) |
(/ (+ 3 (* -6/5 (pow eps 2))) (pow eps 3)) |
(/ (+ 3 (* (pow eps 2) (- (* -1/175 (pow eps 2)) 6/5))) (pow eps 3)) |
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7875 (pow eps 2)) 1/175)) 6/5))) (pow eps 3)) |
(* -2/7875 (pow eps 3)) |
(* -1 (* (pow eps 3) (+ 2/7875 (* 1/175 (/ 1 (pow eps 2)))))) |
(* (pow eps 3) (- (* -1 (/ (+ 1/175 (* 6/5 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7875)) |
(* (pow eps 3) (- (* 3 (/ 1 (pow eps 6))) (+ 2/7875 (+ (* 1/175 (/ 1 (pow eps 2))) (/ 6/5 (pow eps 4)))))) |
(* -2/7875 (pow eps 3)) |
(* -1 (* (pow eps 3) (+ 2/7875 (* 1/175 (/ 1 (pow eps 2)))))) |
(* -1 (* (pow eps 3) (+ 2/7875 (+ (* 1/175 (/ 1 (pow eps 2))) (/ 6/5 (pow eps 4)))))) |
(* -1 (* (pow eps 3) (- (+ 2/7875 (+ (* 1/175 (/ 1 (pow eps 2))) (/ 6/5 (pow eps 4)))) (* 3 (/ 1 (pow eps 6)))))) |
3 |
(+ 3 (* -6/5 (pow eps 2))) |
(+ 3 (* (pow eps 2) (- (* -1/175 (pow eps 2)) 6/5))) |
(+ 3 (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7875 (pow eps 2)) 1/175)) 6/5))) |
(* -2/7875 (pow eps 6)) |
(* -1 (* (pow eps 6) (+ 2/7875 (* 1/175 (/ 1 (pow eps 2)))))) |
(* (pow eps 6) (- (* -1 (/ (+ 1/175 (* 6/5 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7875)) |
(* (pow eps 6) (- (* 3 (/ 1 (pow eps 6))) (+ 2/7875 (+ (* 1/175 (/ 1 (pow eps 2))) (/ 6/5 (pow eps 4)))))) |
(* -2/7875 (pow eps 6)) |
(* -1 (* (pow eps 6) (+ 2/7875 (* 1/175 (/ 1 (pow eps 2)))))) |
(* (pow eps 6) (- (* -1 (/ (+ 1/175 (* 6/5 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7875)) |
(* (pow eps 6) (- (* 3 (/ 1 (pow eps 6))) (+ 2/7875 (+ (* 1/175 (/ 1 (pow eps 2))) (/ 6/5 (pow eps 4)))))) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(* -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 (/ (sin eps) (* eps (cos eps)))))) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos 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))) |
-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 |
(- (+ 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 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (* (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 (/ (+ (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps))) |
(* 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 (/ (sin eps) eps)))) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
eps |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
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)))) |
(sin eps) |
(sin eps) |
(sin eps) |
(sin eps) |
(sin eps) |
(sin eps) |
(sin eps) |
(sin eps) |
(* -1/6 (pow eps 3)) |
(* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)) |
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) |
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6)) |
(* 1/362880 (pow eps 9)) |
(* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))) |
(* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))) |
(* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))) |
(* 1/362880 (pow eps 9)) |
(* -1 (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))) |
(* -1 (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))) |
(* -1 (* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
1 |
(+ 1 (* -1/2 (pow eps 2))) |
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) |
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))) |
(cos eps) |
(cos eps) |
(cos eps) |
(cos eps) |
(cos eps) |
(cos eps) |
(cos eps) |
(cos eps) |
| Outputs |
|---|
-1/2 |
#s(literal -1/2 binary64) |
(- (* 9/40 (pow eps 2)) 1/2) |
(fma.f64 #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 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
(* -1/1428840000 (pow eps 12)) |
(*.f64 #s(literal -1/1428840000 binary64) (pow.f64 eps #s(literal 12 binary64))) |
(* (pow eps 12) (- (* 11/317520000 (/ 1 (pow eps 2))) 1/1428840000)) |
(*.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 #s(literal -1/1428840000 binary64) (/.f64 #s(literal 11/317520000 binary64) (*.f64 eps eps)))) |
(* (pow eps 12) (- (* 11/317520000 (/ 1 (pow eps 2))) (+ 1/1428840000 (/ 227/52920000 (pow eps 4))))) |
(*.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 #s(literal -1/1428840000 binary64) (+.f64 (/.f64 #s(literal 11/317520000 binary64) (*.f64 eps eps)) (/.f64 #s(literal -227/52920000 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))) |
(* (pow eps 12) (- (+ (* 11/317520000 (/ 1 (pow eps 2))) (* 27/112000 (/ 1 (pow eps 6)))) (+ 1/1428840000 (/ 227/52920000 (pow eps 4))))) |
(*.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 (+.f64 #s(literal -1/1428840000 binary64) (+.f64 (/.f64 #s(literal 11/317520000 binary64) (*.f64 eps eps)) (/.f64 #s(literal 27/112000 binary64) (pow.f64 eps #s(literal 6 binary64))))) (/.f64 #s(literal -227/52920000 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))) |
(* -1/1428840000 (pow eps 12)) |
(*.f64 #s(literal -1/1428840000 binary64) (pow.f64 eps #s(literal 12 binary64))) |
(* (pow eps 12) (- (* 11/317520000 (/ 1 (pow eps 2))) 1/1428840000)) |
(*.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 #s(literal -1/1428840000 binary64) (/.f64 #s(literal 11/317520000 binary64) (*.f64 eps eps)))) |
(* (pow eps 12) (- (* 11/317520000 (/ 1 (pow eps 2))) (+ 1/1428840000 (/ 227/52920000 (pow eps 4))))) |
(*.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 #s(literal -1/1428840000 binary64) (+.f64 (/.f64 #s(literal 11/317520000 binary64) (*.f64 eps eps)) (/.f64 #s(literal -227/52920000 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))) |
(* (pow eps 12) (- (+ (* 11/317520000 (/ 1 (pow eps 2))) (* 27/112000 (/ 1 (pow eps 6)))) (+ 1/1428840000 (/ 227/52920000 (pow eps 4))))) |
(*.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 (+.f64 #s(literal -1/1428840000 binary64) (+.f64 (/.f64 #s(literal 11/317520000 binary64) (*.f64 eps eps)) (/.f64 #s(literal 27/112000 binary64) (pow.f64 eps #s(literal 6 binary64))))) (/.f64 #s(literal -227/52920000 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))) |
(/ 3 (pow eps 3)) |
(/.f64 #s(literal 3 binary64) (*.f64 eps (*.f64 eps eps))) |
(/ (+ 3 (* -6/5 (pow eps 2))) (pow eps 3)) |
(/.f64 (fma.f64 eps (*.f64 eps #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) |
(/ (+ 3 (* (pow eps 2) (- (* -1/175 (pow eps 2)) 6/5))) (pow eps 3)) |
(/.f64 (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/175 binary64) #s(literal -6/5 binary64))) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) |
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7875 (pow eps 2)) 1/175)) 6/5))) (pow eps 3)) |
(/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) |
(* -2/7875 (pow eps 3)) |
(*.f64 eps (*.f64 eps (*.f64 eps #s(literal -2/7875 binary64)))) |
(* -1 (* (pow eps 3) (+ 2/7875 (* 1/175 (/ 1 (pow eps 2)))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 #s(literal -2/7875 binary64) (/.f64 #s(literal 1/175 binary64) (*.f64 eps eps)))) |
(* (pow eps 3) (- (* -1 (/ (+ 1/175 (* 6/5 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7875)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 #s(literal -2/7875 binary64) (/.f64 (+.f64 #s(literal -1/175 binary64) (/.f64 #s(literal -6/5 binary64) (*.f64 eps eps))) (*.f64 eps eps)))) |
(* (pow eps 3) (- (* 3 (/ 1 (pow eps 6))) (+ 2/7875 (+ (* 1/175 (/ 1 (pow eps 2))) (/ 6/5 (pow eps 4)))))) |
(*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) (pow.f64 eps #s(literal 6 binary64))) (/.f64 #s(literal -6/5 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (-.f64 #s(literal -2/7875 binary64) (/.f64 #s(literal 1/175 binary64) (*.f64 eps eps)))))) |
(* -2/7875 (pow eps 3)) |
(*.f64 eps (*.f64 eps (*.f64 eps #s(literal -2/7875 binary64)))) |
(* -1 (* (pow eps 3) (+ 2/7875 (* 1/175 (/ 1 (pow eps 2)))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 #s(literal -2/7875 binary64) (/.f64 #s(literal 1/175 binary64) (*.f64 eps eps)))) |
(* -1 (* (pow eps 3) (+ 2/7875 (+ (* 1/175 (/ 1 (pow eps 2))) (/ 6/5 (pow eps 4)))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (-.f64 #s(literal -2/7875 binary64) (/.f64 #s(literal 1/175 binary64) (*.f64 eps eps))) (/.f64 #s(literal -6/5 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))) |
(* -1 (* (pow eps 3) (- (+ 2/7875 (+ (* 1/175 (/ 1 (pow eps 2))) (/ 6/5 (pow eps 4)))) (* 3 (/ 1 (pow eps 6)))))) |
(*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) (pow.f64 eps #s(literal 6 binary64))) (/.f64 #s(literal -6/5 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (-.f64 #s(literal -2/7875 binary64) (/.f64 #s(literal 1/175 binary64) (*.f64 eps eps)))))) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -6/5 (pow eps 2))) |
(fma.f64 eps (*.f64 eps #s(literal -6/5 binary64)) #s(literal 3 binary64)) |
(+ 3 (* (pow eps 2) (- (* -1/175 (pow eps 2)) 6/5))) |
(fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/175 binary64) #s(literal -6/5 binary64))) #s(literal 3 binary64)) |
(+ 3 (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7875 (pow eps 2)) 1/175)) 6/5))) |
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) |
(* -2/7875 (pow eps 6)) |
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal -2/7875 binary64)) |
(* -1 (* (pow eps 6) (+ 2/7875 (* 1/175 (/ 1 (pow eps 2)))))) |
(*.f64 (pow.f64 eps #s(literal 6 binary64)) (-.f64 #s(literal -2/7875 binary64) (/.f64 #s(literal 1/175 binary64) (*.f64 eps eps)))) |
(* (pow eps 6) (- (* -1 (/ (+ 1/175 (* 6/5 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7875)) |
(*.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal -2/7875 binary64) (/.f64 (+.f64 #s(literal -1/175 binary64) (/.f64 #s(literal -6/5 binary64) (*.f64 eps eps))) (*.f64 eps eps)))) |
(* (pow eps 6) (- (* 3 (/ 1 (pow eps 6))) (+ 2/7875 (+ (* 1/175 (/ 1 (pow eps 2))) (/ 6/5 (pow eps 4)))))) |
(*.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) (pow.f64 eps #s(literal 6 binary64))) (/.f64 #s(literal -6/5 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (-.f64 #s(literal -2/7875 binary64) (/.f64 #s(literal 1/175 binary64) (*.f64 eps eps))))) |
(* -2/7875 (pow eps 6)) |
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal -2/7875 binary64)) |
(* -1 (* (pow eps 6) (+ 2/7875 (* 1/175 (/ 1 (pow eps 2)))))) |
(*.f64 (pow.f64 eps #s(literal 6 binary64)) (-.f64 #s(literal -2/7875 binary64) (/.f64 #s(literal 1/175 binary64) (*.f64 eps eps)))) |
(* (pow eps 6) (- (* -1 (/ (+ 1/175 (* 6/5 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7875)) |
(*.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal -2/7875 binary64) (/.f64 (+.f64 #s(literal -1/175 binary64) (/.f64 #s(literal -6/5 binary64) (*.f64 eps eps))) (*.f64 eps eps)))) |
(* (pow eps 6) (- (* 3 (/ 1 (pow eps 6))) (+ 2/7875 (+ (* 1/175 (/ 1 (pow eps 2))) (/ 6/5 (pow eps 4)))))) |
(*.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) (pow.f64 eps #s(literal 6 binary64))) (/.f64 #s(literal -6/5 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (-.f64 #s(literal -2/7875 binary64) (/.f64 #s(literal 1/175 binary64) (*.f64 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) |
(pow eps 2) |
(*.f64 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) |
(pow eps 2) |
(*.f64 eps eps) |
(pow eps 2) |
(*.f64 eps eps) |
(pow eps 2) |
(*.f64 eps eps) |
(* -1/3 (pow eps 3)) |
(*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64))) |
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) |
(*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))) |
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) |
(*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -17/315 binary64) #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))) |
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -62/2835 binary64) #s(literal -17/315 binary64))) #s(literal -2/15 binary64)) #s(literal -1/3 binary64))) |
eps |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(-.f64 eps (/.f64 (*.f64 (sin.f64 eps) eps) (*.f64 eps (cos.f64 eps)))) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(-.f64 eps (/.f64 (*.f64 (sin.f64 eps) eps) (*.f64 eps (cos.f64 eps)))) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(-.f64 eps (/.f64 (*.f64 (sin.f64 eps) eps) (*.f64 eps (cos.f64 eps)))) |
eps |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(-.f64 eps (/.f64 (*.f64 (sin.f64 eps) eps) (*.f64 eps (cos.f64 eps)))) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(-.f64 eps (/.f64 (*.f64 (sin.f64 eps) eps) (*.f64 eps (cos.f64 eps)))) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(-.f64 eps (/.f64 (*.f64 (sin.f64 eps) eps) (*.f64 eps (cos.f64 eps)))) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 9/40 (pow eps 2)) 1/2) |
(fma.f64 #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 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 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))))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.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)))))) |
(fma.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 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 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps))))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))) eps)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) (/.f64 (*.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) eps)) eps)) |
(* 1/6 (pow eps 3)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1/6 binary64)) |
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))) |
(*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) |
eps |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps) |
eps |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps) |
eps |
(* eps (+ 1 (* -1/6 (pow eps 2)))) |
(fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64)) eps) |
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))) |
(fma.f64 (*.f64 eps eps) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) eps) |
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) |
(fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(* -1/6 (pow eps 3)) |
(*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) |
(* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)) |
(*.f64 (*.f64 eps eps) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps)) |
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) |
(* 1/362880 (pow eps 9)) |
(*.f64 #s(literal 1/362880 binary64) (pow.f64 eps #s(literal 9 binary64))) |
(* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))) |
(*.f64 (pow.f64 eps #s(literal 9 binary64)) (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)))) |
(* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))) |
(*.f64 (pow.f64 eps #s(literal 9 binary64)) (-.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps))) (/.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))) |
(* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))) |
(*.f64 (pow.f64 eps #s(literal 9 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps))) (/.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (/.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 6 binary64))))) |
(* 1/362880 (pow eps 9)) |
(*.f64 #s(literal 1/362880 binary64) (pow.f64 eps #s(literal 9 binary64))) |
(* -1 (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))) |
(*.f64 (pow.f64 eps #s(literal 9 binary64)) (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)))) |
(* -1 (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))) |
(*.f64 (pow.f64 eps #s(literal 9 binary64)) (-.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps))) (/.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))) |
(* -1 (* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))) |
(*.f64 (pow.f64 eps #s(literal 9 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps))) (/.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (/.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 6 binary64))))) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow eps 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps eps) #s(literal 1 binary64)) |
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) |
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))) |
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos eps) |
(cos.f64 eps) |
(cos eps) |
(cos.f64 eps) |
(cos eps) |
(cos.f64 eps) |
(cos eps) |
(cos.f64 eps) |
(cos eps) |
(cos.f64 eps) |
(cos eps) |
(cos.f64 eps) |
(cos eps) |
(cos.f64 eps) |
(cos eps) |
(cos.f64 eps) |
Compiled 36 614 to 1 795 computations (95.1% saved)
16 alts after pruning (5 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 723 | 5 | 728 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 10 | 10 |
| Total | 724 | 16 | 740 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 1.1% | (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) eps (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))) |
| ✓ | 99.9% | (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
| ✓ | 99.7% | (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
| ✓ | 99.6% | (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
| ✓ | 0.8% | (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps)) |
| 0.8% | (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 eps)) (sin.f64 eps)) eps)) | |
| 1.8% | (/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) eps)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 eps eps) (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) eps)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) eps)) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) eps)) (fma.f64 (/.f64 (*.f64 eps eps) (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) eps)) (/.f64 (*.f64 eps eps) (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) eps)) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) eps)) (/.f64 (*.f64 eps eps) (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) eps))))))) | |
| ✓ | 1.1% | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 33.9% | (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 eps (*.f64 eps eps))) | |
| ✓ | 1.0% | (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps))) |
| 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))))) | |
| 99.9% | (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) | |
| ✓ | 0.8% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps)) (-.f64 (sin.f64 eps) eps)) |
| ✓ | 1.1% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps)) |
| ✓ | 1.8% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
| ✓ | 99.4% | #s(literal -1/2 binary64) |
Compiled 990 to 307 computations (69% saved)
| Inputs |
|---|
#s(literal -1/2 binary64) |
(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 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
(*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 eps (*.f64 eps eps))) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps)) |
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps)) |
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) eps (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))) |
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 eps)) (sin.f64 eps)) eps)) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps)) (-.f64 (sin.f64 eps) eps)) |
(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) eps)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 eps eps) (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) eps)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) eps)) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) eps)) (fma.f64 (/.f64 (*.f64 eps eps) (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) eps)) (/.f64 (*.f64 eps eps) (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) eps)) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) eps)) (/.f64 (*.f64 eps eps) (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) eps))))))) |
| Outputs |
|---|
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
2 calls:
| 6.0ms | eps |
| 5.0ms | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | eps |
| 99.9% | 1 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
Compiled 12 to 7 computations (41.7% saved)
| Inputs |
|---|
#s(literal -1/2 binary64) |
(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 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
| Outputs |
|---|
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #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 |
|---|---|---|
| 99.7% | 1 | eps |
| 99.7% | 1 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
Compiled 12 to 7 computations (41.7% saved)
| Inputs |
|---|
#s(literal -1/2 binary64) |
(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)) |
| Outputs |
|---|
(fma.f64 #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 |
|---|---|---|
| 99.6% | 1 | eps |
| 99.6% | 1 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
Compiled 12 to 7 computations (41.7% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(literal -1/2 binary64) |
| Outputs |
|---|
#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 |
|---|---|---|
| 99.4% | 1 | eps |
| 99.4% | 1 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
Compiled 12 to 7 computations (41.7% saved)
| 1× | egg-herbie |
| 6× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 34 |
| 1 | 18 | 34 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #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)) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #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)) |
#s(literal -1/2 binary64) |
| 12 288× | lower-fma.f64 |
| 12 288× | lower-fma.f32 |
| 6 122× | lower-*.f64 |
| 6 122× | lower-*.f32 |
| 1 424× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 561 |
| 1 | 422 | 524 |
| 2 | 1321 | 499 |
| 3 | 5650 | 444 |
| 0 | 8479 | 418 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
Compiled 73 to 41 computations (43.8% saved)
(abs eps)
Compiled 216 to 120 computations (44.4% saved)
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