
Time bar (total: 9.7s)
| 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)
| 5.6s | 4 448× | 2 | valid |
| 1.6s | 1 401× | 3 | valid |
| 379.0ms | 2 357× | 1 | valid |
| 3.0ms | 50× | 0 | valid |
ival-tan: 4.5s (61.8% of total)ival-sin: 2.1s (29.1% of total)adjust: 394.0ms (5.4% of total)ival-sub!: 150.0ms (2.1% of total)ival-div!: 115.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-and: 0.0ms (0% of total)ival-<=: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 156 | 0 | - | 0 | - | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 100 | 1 | (2.3457889161557885e-108) | 0 | - | (-.f64 eps (tan.f64 eps)) |
| 100 | 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 | 155 | 0 |
| ↳ | (-.f64 eps (sin.f64 eps)) | underflow | 156 | |
| ↳ | (-.f64 eps (tan.f64 eps)) | underflow | 155 | |
-.f64 | (-.f64 eps (tan.f64 eps)) | cancellation | 101 | 0 |
-.f64 | (-.f64 eps (sin.f64 eps)) | cancellation | 100 | 0 |
/.f64 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) | u/n | 1 | 0 |
| ↳ | (-.f64 eps (sin.f64 eps)) | underflow | 156 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 256 | 0 |
| - | 0 | 0 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 256 | 0 | 0 |
| - | 0 | 0 | 0 |
| number | freq |
|---|---|
| 1 | 155 |
| 2 | 101 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 332.0ms | 270× | 2 | valid |
| 63.0ms | 70× | 3 | valid |
| 27.0ms | 170× | 1 | valid |
| 0.0ms | 2× | 0 | valid |
Compiled 57 to 22 computations (61.4% saved)
ival-tan: 209.0ms (52.3% of total)ival-sin: 156.0ms (39.1% of total)adjust: 18.0ms (4.5% of total)ival-sub!: 8.0ms (2% of total)ival-div!: 8.0ms (2% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 36 |
| 1 | 30 | 36 |
| 2 | 50 | 36 |
| 3 | 79 | 36 |
| 4 | 129 | 36 |
| 5 | 255 | 36 |
| 6 | 605 | 36 |
| 7 | 1971 | 36 |
| 8 | 6592 | 36 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 1.7% | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
Compiled 18 to 12 computations (33.3% saved)
| 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 |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 -1/2)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2))) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* 1/6 (pow eps 3)))) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))))) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))))) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (sin eps) #s(hole binary64 eps)) |
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2)))))) |
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))))) |
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* -1/3 (pow eps 3)))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)))) |
#s(approx (tan eps) #s(hole binary64 eps)) |
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2)))))) |
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))))) |
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 1)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole 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))))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 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)))))))) |
#s(approx (- eps (sin eps)) #s(hole binary64 eps)) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))) |
#s(approx (sin eps) #s(hole binary64 (sin eps))) |
#s(approx (- eps (tan eps)) #s(hole binary64 eps)) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))) |
#s(approx (tan eps) #s(hole binary64 (/ (sin eps) (cos eps)))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 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))))) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* -1 (* eps (- (/ (sin eps) eps) 1))))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | eps | @ | -inf | ((/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) eps (sin eps) (- eps (tan eps)) (tan eps)) |
| 2.0ms | eps | @ | inf | ((/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) eps (sin eps) (- eps (tan eps)) (tan eps)) |
| 1.0ms | eps | @ | 0 | ((/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) eps (sin eps) (- eps (tan eps)) (tan eps)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 208 | 765 |
| 0 | 216 | 713 |
| 1 | 1202 | 686 |
| 0 | 8326 | 665 |
| 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)) |
eps |
(sin.f64 eps) |
(-.f64 eps (tan.f64 eps)) |
(tan.f64 eps) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 -1/2)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2))) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* 1/6 (pow eps 3)))) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))))) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))))) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (sin eps) #s(hole binary64 eps)) |
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2)))))) |
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))))) |
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* -1/3 (pow eps 3)))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)))) |
#s(approx (tan eps) #s(hole binary64 eps)) |
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2)))))) |
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))))) |
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 1)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole 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))))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 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)))))))) |
#s(approx (- eps (sin eps)) #s(hole binary64 eps)) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))) |
#s(approx (sin eps) #s(hole binary64 (sin eps))) |
#s(approx (- eps (tan eps)) #s(hole binary64 eps)) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))) |
#s(approx (tan eps) #s(hole binary64 (/ (sin eps) (cos eps)))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 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))))) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* -1 (* eps (- (/ (sin eps) eps) 1))))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))))) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 eps (-.f64 eps (tan.f64 eps)))) (*.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))) (+.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) #s(literal 3 binary64))) (fma.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 eps (-.f64 eps (tan.f64 eps))) (fma.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) (*.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 eps (sin.f64 eps)))) (neg.f64 (neg.f64 (-.f64 eps (tan.f64 eps))))) |
(/.f64 (-.f64 (*.f64 eps (-.f64 eps (tan.f64 eps))) (*.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (*.f64 (-.f64 eps (tan.f64 eps)) (-.f64 eps (tan.f64 eps)))) |
(/.f64 (neg.f64 (-.f64 eps (sin.f64 eps))) (neg.f64 (-.f64 eps (tan.f64 eps)))) |
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
(-.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))))) (neg.f64 (+.f64 eps (sin.f64 eps)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps eps (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 eps (sin.f64 eps)))))) |
(/.f64 (-.f64 (*.f64 eps eps) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) (+.f64 eps (sin.f64 eps))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) 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 #s(literal 2 binary64) eps)))) (*.f64 eps (sin.f64 eps))))) |
(-.f64 (/.f64 (*.f64 eps eps) (+.f64 eps (sin.f64 eps))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 eps (sin.f64 eps)))) |
(-.f64 (/.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 eps eps (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 eps (sin.f64 eps))))) (/.f64 (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 #s(literal 2 binary64) eps)))) (*.f64 eps (sin.f64 eps)))))) |
(-.f64 eps (sin.f64 eps)) |
eps |
(*.f64 (pow.f64 (sin.f64 eps) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 1/2 binary64))) |
(pow.f64 (sin.f64 eps) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 eps) #s(literal -1 binary64))) |
(sin.f64 eps) |
(exp.f64 (*.f64 (log.f64 (sin.f64 eps)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (neg.f64 (+.f64 eps (tan.f64 eps)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps eps (+.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps (tan.f64 eps)))))) |
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 eps (tan.f64 eps))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (fma.f64 eps eps (+.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps (tan.f64 eps))))) |
(-.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 (*.f64 (*.f64 eps eps) eps) (fma.f64 eps eps (+.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps (tan.f64 eps))))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 eps eps (+.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps (tan.f64 eps)))))) |
(-.f64 eps (tan.f64 eps)) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (neg.f64 (neg.f64 (cos.f64 eps)))) |
(/.f64 (+.f64 (tan.f64 eps) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 (PI.f64))))) |
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(tan.f64 (+.f64 (+.f64 eps (PI.f64)) (PI.f64))) |
(tan.f64 (+.f64 eps (PI.f64))) |
(tan.f64 eps) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64))) |
#s(approx (- eps (sin eps)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 1/6 binary64))) |
#s(approx (- eps (sin eps)) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) |
#s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) |
#s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) |
#s(approx eps eps) |
#s(approx (sin eps) eps) |
#s(approx (sin eps) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)) eps)) |
#s(approx (sin eps) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) |
#s(approx (sin eps) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 eps eps) #s(literal 1/120 binary64)) (*.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) |
#s(approx (- eps (tan eps)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 eps eps) eps))) |
#s(approx (- eps (tan eps)) (*.f64 (-.f64 (*.f64 #s(literal -2/15 binary64) (*.f64 eps eps)) #s(literal 1/3 binary64)) (*.f64 (*.f64 eps eps) eps))) |
#s(approx (- eps (tan eps)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -17/315 binary64) (*.f64 eps eps)) #s(literal 2/15 binary64)) (*.f64 eps eps)) #s(literal 1/3 binary64)) (*.f64 (*.f64 eps eps) eps))) |
#s(approx (- eps (tan eps)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -62/2835 binary64) (*.f64 eps eps)) #s(literal 17/315 binary64)) (*.f64 eps eps)) #s(literal 2/15 binary64)) (*.f64 eps eps)) #s(literal 1/3 binary64)) (*.f64 (*.f64 eps eps) eps))) |
#s(approx (tan eps) eps) |
#s(approx (tan eps) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)) eps)) |
#s(approx (tan eps) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) |
#s(approx (tan eps) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 eps eps) #s(literal 2/15 binary64)) (*.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal 1 binary64)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (-.f64 (neg.f64 (/.f64 (sin.f64 eps) eps)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) eps) (tan.f64 eps)))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (-.f64 (fma.f64 (tan.f64 eps) (/.f64 (-.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (tan.f64 eps))) (*.f64 eps eps)) (neg.f64 (/.f64 (sin.f64 eps) eps))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) eps) (tan.f64 eps)))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (tan.f64 eps))) (*.f64 (*.f64 eps eps) eps)) (neg.f64 (/.f64 (sin.f64 eps) eps))) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) eps) (tan.f64 eps) (neg.f64 (*.f64 (/.f64 (-.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (tan.f64 eps))) (*.f64 eps eps)) (tan.f64 eps)))))) |
#s(approx (- eps (sin eps)) eps) |
#s(approx (- eps (sin eps)) (*.f64 (-.f64 (neg.f64 (/.f64 (sin.f64 eps) eps)) #s(literal -1 binary64)) eps)) |
#s(approx (sin eps) (sin.f64 eps)) |
#s(approx (- eps (tan eps)) eps) |
#s(approx (- eps (tan eps)) (*.f64 (fma.f64 (tan.f64 eps) (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) eps)) |
#s(approx (tan eps) (tan.f64 eps)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (neg.f64 (/.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) eps)) #s(literal -1 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) eps) (tan.f64 eps) (sin.f64 eps)) (tan.f64 eps)) eps)) #s(literal -1 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (*.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (/.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) eps))) (/.f64 (*.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) (sin.f64 eps)) (cos.f64 eps))) eps)) (sin.f64 eps)) (tan.f64 eps)) eps)) #s(literal -1 binary64))) |
#s(approx (- eps (sin eps)) (neg.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) |
#s(approx (- eps (tan eps)) (neg.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) #s(literal 1 binary64)) eps))) |
Compiled 1 577 to 357 computations (77.4% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 71 | 5 | 76 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 72 | 5 | 77 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 2.2% | (/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) (-.f64 eps (tan.f64 eps))) |
| ▶ | 99.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64))) |
| ▶ | 99.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64))) |
| ▶ | 99.7% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) |
| ▶ | 99.1% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
Compiled 222 to 138 computations (37.8% saved)
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) |
(fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) |
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) |
#s(literal 27/112000 binary64) |
(*.f64 eps eps) |
eps |
#s(literal 27/2800 binary64) |
#s(literal 9/40 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) |
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) |
#s(literal -27/2800 binary64) |
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) (-.f64 eps (tan.f64 eps))) |
#s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps)) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) |
(*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) |
(fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #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 eps) eps) |
(-.f64 eps (tan.f64 eps)) |
(tan.f64 eps) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 -1/2)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2))) |
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 -1/2)) |
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2))) |
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2))) |
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2))) |
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* 9/40 (pow eps 2)))) |
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))))) |
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))))) |
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 9/40)) |
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (+ 9/40 (* -27/2800 (pow eps 2))))) |
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))) |
#s(approx (- (* 27/112000 (* eps eps)) 27/2800) #s(hole binary64 -27/2800)) |
#s(approx (- (* 27/112000 (* eps eps)) 27/2800) #s(hole binary64 (- (* 27/112000 (pow eps 2)) 27/2800))) |
#s(approx (* 27/112000 (* eps eps)) #s(hole binary64 (* 27/112000 (pow eps 2)))) |
#s(approx (* eps eps) #s(hole binary64 (pow eps 2))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (- (* (* eps eps) 9/40) 1/2) #s(hole binary64 -1/2)) |
#s(approx (- (* (* eps eps) 9/40) 1/2) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2))) |
#s(approx (* (* eps eps) 9/40) #s(hole binary64 (* 9/40 (pow eps 2)))) |
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 -1/2)) |
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2))) |
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2))) |
#s(approx (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* 9/40 (pow eps 2)))) |
#s(approx (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))))) |
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) #s(hole binary64 9/40)) |
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) #s(hole binary64 (+ 9/40 (* -27/2800 (pow eps 2))))) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* 1/6 (pow eps 3)))) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))))) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))))) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))))) |
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (* (* eps eps) eps)) #s(hole binary64 (* 1/6 (pow eps 3)))) |
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (* (* eps eps) eps)) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))))) |
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (* (* eps eps) eps)) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))))) |
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (* (* eps eps) eps)) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))))) |
#s(approx (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) #s(hole binary64 1/6)) |
#s(approx (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) #s(hole binary64 (+ 1/6 (* -1/120 (pow eps 2))))) |
#s(approx (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) #s(hole binary64 (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))) |
#s(approx (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) #s(hole binary64 (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))) |
#s(approx (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) #s(hole binary64 -1/120)) |
#s(approx (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) #s(hole binary64 (- (* 1/5040 (pow eps 2)) 1/120))) |
#s(approx (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) #s(hole binary64 (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))) |
#s(approx (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) #s(hole binary64 (* 1/5040 (pow eps 2)))) |
#s(approx (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))))) |
#s(approx (+ (* -1/362880 (* eps eps)) 1/5040) #s(hole binary64 1/5040)) |
#s(approx (+ (* -1/362880 (* eps eps)) 1/5040) #s(hole binary64 (+ 1/5040 (* -1/362880 (pow eps 2))))) |
#s(approx (* (* eps eps) eps) #s(hole binary64 (pow eps 3))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* -1/3 (pow eps 3)))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)))) |
#s(approx (tan eps) #s(hole binary64 eps)) |
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2)))))) |
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))))) |
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 1)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole 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))))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 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)))))))) |
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* 27/112000 (pow eps 6)))) |
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))))) |
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* 27/112000 (pow eps 6)))) |
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (* 27/112000 (pow eps 4)))) |
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (- (* 27/112000 (* eps eps)) 27/2800) #s(hole binary64 (* 27/112000 (pow eps 2)))) |
#s(approx (- (* 27/112000 (* eps eps)) 27/2800) #s(hole binary64 (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (- (* (* eps eps) 9/40) 1/2) #s(hole binary64 (* 9/40 (pow eps 2)))) |
#s(approx (- (* (* eps eps) 9/40) 1/2) #s(hole binary64 (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))))) |
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* -27/2800 (pow eps 4)))) |
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)))) |
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4))))))) |
#s(approx (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* -27/2800 (pow eps 4)))) |
#s(approx (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)))) |
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) #s(hole binary64 (* -27/2800 (pow eps 2)))) |
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) #s(hole binary64 (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)))) |
#s(approx (- eps (sin eps)) #s(hole binary64 eps)) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))) |
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (* (* eps eps) eps)) #s(hole binary64 (* -1/362880 (pow eps 9)))) |
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (* (* eps eps) eps)) #s(hole binary64 (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))) |
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (* (* eps eps) eps)) #s(hole binary64 (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4))))))) |
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (* (* eps eps) eps)) #s(hole binary64 (* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4))))))) |
#s(approx (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) #s(hole binary64 (* -1/362880 (pow eps 6)))) |
#s(approx (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) #s(hole binary64 (* (pow eps 6) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))) |
#s(approx (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) #s(hole binary64 (* (pow eps 6) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4))))))) |
#s(approx (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) #s(hole binary64 (* (pow eps 6) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4))))))) |
#s(approx (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) #s(hole binary64 (* -1/362880 (pow eps 4)))) |
#s(approx (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) #s(hole binary64 (* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))) |
#s(approx (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) #s(hole binary64 (* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4))))))) |
#s(approx (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) #s(hole binary64 (* -1/362880 (pow eps 4)))) |
#s(approx (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) #s(hole binary64 (* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))) |
#s(approx (+ (* -1/362880 (* eps eps)) 1/5040) #s(hole binary64 (* -1/362880 (pow eps 2)))) |
#s(approx (+ (* -1/362880 (* eps eps)) 1/5040) #s(hole binary64 (* (pow eps 2) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))) |
#s(approx (- eps (tan eps)) #s(hole binary64 eps)) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))) |
#s(approx (tan eps) #s(hole binary64 (/ (sin eps) (cos eps)))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 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))))) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* -1 (* eps (- (/ (sin eps) eps) 1))))) |
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (* (* eps eps) eps)) #s(hole binary64 (* -1 (* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2)))))))) |
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (* (* eps eps) eps)) #s(hole binary64 (* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2)))))))) |
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (* (* eps eps) eps)) #s(hole binary64 (* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6))))))))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | eps | @ | inf | ((/ (- eps (sin eps)) (- eps (tan eps))) (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (- (* 27/112000 (* eps eps)) 27/2800) (* 27/112000 (* eps eps)) 27/112000 (* eps eps) eps 27/2800 9/40 1/2 (/ (- eps (sin eps)) (- eps (tan eps))) -1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (* eps eps) 9/40) 1/2) (* (* eps eps) 9/40) (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) (+ (* -27/2800 (* eps eps)) 9/40) -27/2800 (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (* (* eps eps) eps)) (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) (+ (* -1/362880 (* eps eps)) 1/5040) -1/362880 1/5040 1/120 1/6 (* (* eps eps) eps) (- eps (tan eps)) (tan eps)) |
| 4.0ms | eps | @ | -inf | ((/ (- eps (sin eps)) (- eps (tan eps))) (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (- (* 27/112000 (* eps eps)) 27/2800) (* 27/112000 (* eps eps)) 27/112000 (* eps eps) eps 27/2800 9/40 1/2 (/ (- eps (sin eps)) (- eps (tan eps))) -1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (* eps eps) 9/40) 1/2) (* (* eps eps) 9/40) (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) (+ (* -27/2800 (* eps eps)) 9/40) -27/2800 (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (* (* eps eps) eps)) (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) (+ (* -1/362880 (* eps eps)) 1/5040) -1/362880 1/5040 1/120 1/6 (* (* eps eps) eps) (- eps (tan eps)) (tan eps)) |
| 3.0ms | eps | @ | 0 | ((/ (- eps (sin eps)) (- eps (tan eps))) (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (- (* 27/112000 (* eps eps)) 27/2800) (* 27/112000 (* eps eps)) 27/112000 (* eps eps) eps 27/2800 9/40 1/2 (/ (- eps (sin eps)) (- eps (tan eps))) -1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (* eps eps) 9/40) 1/2) (* (* eps eps) 9/40) (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) (+ (* -27/2800 (* eps eps)) 9/40) -27/2800 (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (* (* eps eps) eps)) (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) (+ (* -1/362880 (* eps eps)) 1/5040) -1/362880 1/5040 1/120 1/6 (* (* eps eps) eps) (- eps (tan eps)) (tan eps)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 371 | 2961 |
| 0 | 419 | 2794 |
| 1 | 1808 | 2767 |
| 0 | 8610 | 2746 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) |
(fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) |
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) |
#s(literal 27/112000 binary64) |
(*.f64 eps eps) |
eps |
#s(literal 27/2800 binary64) |
#s(literal 9/40 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) |
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) |
#s(literal -27/2800 binary64) |
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) (-.f64 eps (tan.f64 eps))) |
#s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps)) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) |
(*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) |
(fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #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 eps) eps) |
(-.f64 eps (tan.f64 eps)) |
(tan.f64 eps) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 -1/2)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2))) |
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 -1/2)) |
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2))) |
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2))) |
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2))) |
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* 9/40 (pow eps 2)))) |
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))))) |
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))))) |
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 9/40)) |
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (+ 9/40 (* -27/2800 (pow eps 2))))) |
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))) |
#s(approx (- (* 27/112000 (* eps eps)) 27/2800) #s(hole binary64 -27/2800)) |
#s(approx (- (* 27/112000 (* eps eps)) 27/2800) #s(hole binary64 (- (* 27/112000 (pow eps 2)) 27/2800))) |
#s(approx (* 27/112000 (* eps eps)) #s(hole binary64 (* 27/112000 (pow eps 2)))) |
#s(approx (* eps eps) #s(hole binary64 (pow eps 2))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (- (* (* eps eps) 9/40) 1/2) #s(hole binary64 -1/2)) |
#s(approx (- (* (* eps eps) 9/40) 1/2) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2))) |
#s(approx (* (* eps eps) 9/40) #s(hole binary64 (* 9/40 (pow eps 2)))) |
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 -1/2)) |
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2))) |
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2))) |
#s(approx (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* 9/40 (pow eps 2)))) |
#s(approx (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))))) |
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) #s(hole binary64 9/40)) |
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) #s(hole binary64 (+ 9/40 (* -27/2800 (pow eps 2))))) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* 1/6 (pow eps 3)))) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))))) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))))) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))))) |
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (* (* eps eps) eps)) #s(hole binary64 (* 1/6 (pow eps 3)))) |
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (* (* eps eps) eps)) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))))) |
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (* (* eps eps) eps)) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))))) |
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (* (* eps eps) eps)) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))))) |
#s(approx (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) #s(hole binary64 1/6)) |
#s(approx (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) #s(hole binary64 (+ 1/6 (* -1/120 (pow eps 2))))) |
#s(approx (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) #s(hole binary64 (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))) |
#s(approx (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) #s(hole binary64 (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))) |
#s(approx (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) #s(hole binary64 -1/120)) |
#s(approx (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) #s(hole binary64 (- (* 1/5040 (pow eps 2)) 1/120))) |
#s(approx (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) #s(hole binary64 (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))) |
#s(approx (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) #s(hole binary64 (* 1/5040 (pow eps 2)))) |
#s(approx (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))))) |
#s(approx (+ (* -1/362880 (* eps eps)) 1/5040) #s(hole binary64 1/5040)) |
#s(approx (+ (* -1/362880 (* eps eps)) 1/5040) #s(hole binary64 (+ 1/5040 (* -1/362880 (pow eps 2))))) |
#s(approx (* (* eps eps) eps) #s(hole binary64 (pow eps 3))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* -1/3 (pow eps 3)))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)))) |
#s(approx (tan eps) #s(hole binary64 eps)) |
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2)))))) |
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))))) |
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 1)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole 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))))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 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)))))))) |
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* 27/112000 (pow eps 6)))) |
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))))) |
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* 27/112000 (pow eps 6)))) |
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (* 27/112000 (pow eps 4)))) |
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (- (* 27/112000 (* eps eps)) 27/2800) #s(hole binary64 (* 27/112000 (pow eps 2)))) |
#s(approx (- (* 27/112000 (* eps eps)) 27/2800) #s(hole binary64 (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (- (* (* eps eps) 9/40) 1/2) #s(hole binary64 (* 9/40 (pow eps 2)))) |
#s(approx (- (* (* eps eps) 9/40) 1/2) #s(hole binary64 (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))))) |
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* -27/2800 (pow eps 4)))) |
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)))) |
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4))))))) |
#s(approx (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* -27/2800 (pow eps 4)))) |
#s(approx (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)))) |
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) #s(hole binary64 (* -27/2800 (pow eps 2)))) |
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) #s(hole binary64 (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)))) |
#s(approx (- eps (sin eps)) #s(hole binary64 eps)) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))) |
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (* (* eps eps) eps)) #s(hole binary64 (* -1/362880 (pow eps 9)))) |
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (* (* eps eps) eps)) #s(hole binary64 (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))) |
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (* (* eps eps) eps)) #s(hole binary64 (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4))))))) |
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (* (* eps eps) eps)) #s(hole binary64 (* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4))))))) |
#s(approx (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) #s(hole binary64 (* -1/362880 (pow eps 6)))) |
#s(approx (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) #s(hole binary64 (* (pow eps 6) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))) |
#s(approx (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) #s(hole binary64 (* (pow eps 6) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4))))))) |
#s(approx (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) #s(hole binary64 (* (pow eps 6) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4))))))) |
#s(approx (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) #s(hole binary64 (* -1/362880 (pow eps 4)))) |
#s(approx (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) #s(hole binary64 (* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))) |
#s(approx (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) #s(hole binary64 (* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4))))))) |
#s(approx (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) #s(hole binary64 (* -1/362880 (pow eps 4)))) |
#s(approx (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) #s(hole binary64 (* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))) |
#s(approx (+ (* -1/362880 (* eps eps)) 1/5040) #s(hole binary64 (* -1/362880 (pow eps 2)))) |
#s(approx (+ (* -1/362880 (* eps eps)) 1/5040) #s(hole binary64 (* (pow eps 2) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))) |
#s(approx (- eps (tan eps)) #s(hole binary64 eps)) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))) |
#s(approx (tan eps) #s(hole binary64 (/ (sin eps) (cos eps)))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 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))))) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* -1 (* eps (- (/ (sin eps) eps) 1))))) |
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (* (* eps eps) eps)) #s(hole binary64 (* -1 (* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2)))))))) |
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (* (* eps eps) eps)) #s(hole binary64 (* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2)))))))) |
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (* (* eps eps) eps)) #s(hole binary64 (* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6))))))))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))))) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64))) |
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#s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) |
#s(approx (- eps (sin eps)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) |
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (* (* eps eps) eps)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 1/6 binary64))) |
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (* (* eps eps) eps)) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) |
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (* (* eps eps) eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) |
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (* (* eps eps) eps)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) |
#s(approx (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) #s(literal 1/6 binary64)) |
#s(approx (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (fma.f64 #s(literal -1/120 binary64) (*.f64 eps eps) #s(literal 1/6 binary64))) |
#s(approx (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64))) |
#s(approx (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64))) |
#s(approx (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) #s(literal -1/120 binary64)) |
#s(approx (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
#s(approx (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64))) |
#s(approx (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) (*.f64 (*.f64 eps eps) #s(literal 1/5040 binary64))) |
#s(approx (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) eps) eps)) |
#s(approx (+ (* -1/362880 (* eps eps)) 1/5040) #s(literal 1/5040 binary64)) |
#s(approx (+ (* -1/362880 (* eps eps)) 1/5040) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) |
#s(approx (* (* eps eps) eps) (*.f64 (*.f64 eps eps) eps)) |
#s(approx (- eps (tan eps)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 eps eps) eps))) |
#s(approx (- eps (tan eps)) (*.f64 (-.f64 (*.f64 #s(literal -2/15 binary64) (*.f64 eps eps)) #s(literal 1/3 binary64)) (*.f64 (*.f64 eps eps) eps))) |
#s(approx (- eps (tan eps)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -17/315 binary64) (*.f64 eps eps)) #s(literal 2/15 binary64)) (*.f64 eps eps)) #s(literal 1/3 binary64)) (*.f64 (*.f64 eps eps) eps))) |
#s(approx (- eps (tan eps)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -62/2835 binary64) (*.f64 eps eps)) #s(literal 17/315 binary64)) (*.f64 eps eps)) #s(literal 2/15 binary64)) (*.f64 eps eps)) #s(literal 1/3 binary64)) (*.f64 (*.f64 eps eps) eps))) |
#s(approx (tan eps) eps) |
#s(approx (tan eps) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)) eps)) |
#s(approx (tan eps) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) |
#s(approx (tan eps) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 eps eps) #s(literal 2/15 binary64)) (*.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal 1 binary64)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 eps) eps)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) eps) (tan.f64 eps)))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (+.f64 (fma.f64 (tan.f64 eps) (/.f64 (-.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (tan.f64 eps))) (*.f64 eps eps)) (neg.f64 (/.f64 (sin.f64 eps) eps))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) eps) (tan.f64 eps)))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (+.f64 (fma.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (tan.f64 eps))) (*.f64 (*.f64 eps eps) eps)) (neg.f64 (/.f64 (sin.f64 eps) eps))) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) eps) (tan.f64 eps) (neg.f64 (*.f64 (/.f64 (-.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (tan.f64 eps))) (*.f64 eps eps)) (tan.f64 eps)))))) |
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) #s(literal 27/112000 binary64))) |
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))))) |
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) (+.f64 #s(literal 27/112000 binary64) (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)))))) |
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) (-.f64 (+.f64 #s(literal 27/112000 binary64) (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)))))) |
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) #s(literal 27/112000 binary64))) |
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))))) |
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) (+.f64 #s(literal 27/112000 binary64) (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)))))) |
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 27/112000 binary64))) |
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))))) |
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (*.f64 (+.f64 #s(literal 27/112000 binary64) (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (* 27/112000 (* eps eps)) 27/2800) (*.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps)) |
#s(approx (- (* 27/112000 (* eps eps)) 27/2800) (*.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (*.f64 eps eps))) |
#s(approx (- (* (* eps eps) 9/40) 1/2) (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64))) |
#s(approx (- (* (* eps eps) 9/40) 1/2) (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) (*.f64 eps eps))) |
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal -27/2800 binary64))) |
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal -27/2800 binary64))) |
#s(approx (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) (*.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))) |
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) (*.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps))) |
#s(approx (- eps (sin eps)) eps) |
#s(approx (- eps (sin eps)) (*.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 eps) eps)) #s(literal 1 binary64)) eps)) |
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (* (* eps eps) eps)) (*.f64 (pow.f64 eps #s(literal 9 binary64)) #s(literal -1/362880 binary64))) |
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (* (* eps eps) eps)) (*.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/362880 binary64)) (pow.f64 eps #s(literal 9 binary64)))) |
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (* (* eps eps) eps)) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (pow.f64 eps #s(literal 9 binary64)))) |
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (* (* eps eps) eps)) (*.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 eps #s(literal -6 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps))) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (pow.f64 eps #s(literal 9 binary64)))) |
#s(approx (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) #s(literal -1/362880 binary64))) |
#s(approx (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/362880 binary64)))) |
#s(approx (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) (-.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))) |
#s(approx (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) (-.f64 (-.f64 (fma.f64 (pow.f64 eps #s(literal -6 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps))) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))) |
#s(approx (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal -1/362880 binary64))) |
#s(approx (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (*.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/362880 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal -1/362880 binary64))) |
#s(approx (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) (*.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/362880 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (+ (* -1/362880 (* eps eps)) 1/5040) (*.f64 (*.f64 eps eps) #s(literal -1/362880 binary64))) |
#s(approx (+ (* -1/362880 (* eps eps)) 1/5040) (*.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/362880 binary64)) (*.f64 eps eps))) |
#s(approx (- eps (tan eps)) eps) |
#s(approx (- eps (tan eps)) (*.f64 (fma.f64 (tan.f64 eps) (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) eps)) |
#s(approx (tan eps) (tan.f64 eps)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (+.f64 (neg.f64 (/.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) eps)) #s(literal 1 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) eps) (tan.f64 eps) (sin.f64 eps)) (tan.f64 eps)) eps)) #s(literal 1 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (+.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (*.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (/.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) eps))) (/.f64 (*.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) (sin.f64 eps)) (cos.f64 eps))) eps)) (sin.f64 eps)) (tan.f64 eps)) eps)) #s(literal 1 binary64))) |
#s(approx (- eps (sin eps)) (neg.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) |
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (* (* eps eps) eps)) (neg.f64 (*.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 9 binary64))))) |
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (* (* eps eps) eps)) (neg.f64 (*.f64 (+.f64 #s(literal 1/362880 binary64) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)))) (pow.f64 eps #s(literal 9 binary64))))) |
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (* (* eps eps) eps)) (neg.f64 (*.f64 (-.f64 (+.f64 #s(literal 1/362880 binary64) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)))) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)))) (pow.f64 eps #s(literal 9 binary64))))) |
#s(approx (- eps (tan eps)) (neg.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) #s(literal 1 binary64)) eps))) |
Compiled 19 977 to 2 389 computations (88% saved)
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 519 | 2 | 521 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 521 | 5 | 526 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 2.2% | (/.f64 #s(approx (- eps (sin eps)) (*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64)) (*.f64 eps eps)) eps)) (-.f64 eps (tan.f64 eps))) |
| ✓ | 99.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64))) |
| ▶ | 99.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64))) |
| ✓ | 99.7% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) |
| ✓ | 99.1% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
Compiled 111 to 73 computations (34.2% saved)
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) |
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) |
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(-.f64 (*.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps) #s(literal 27/2800 binary64)) |
(*.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps) |
(*.f64 #s(literal 27/112000 binary64) eps) |
#s(literal 27/112000 binary64) |
eps |
#s(literal 27/2800 binary64) |
(*.f64 eps eps) |
#s(literal 9/40 binary64) |
#s(literal 1/2 binary64) |
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64)) (*.f64 eps eps)) eps)) (-.f64 eps (tan.f64 eps))) |
#s(approx (- eps (sin eps)) (*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64)) (*.f64 eps eps)) eps)) |
(*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64)) (*.f64 eps eps)) eps) |
(*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64)) (*.f64 eps eps)) |
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64)) |
(*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) |
(-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) |
(*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) eps) eps) |
(*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) eps) |
(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) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 -1/2)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2))) |
#s(approx (- (* (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) eps) 1/2) #s(hole binary64 -1/2)) |
#s(approx (- (* (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) eps) 1/2) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2))) |
#s(approx (- (* (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) eps) 1/2) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2))) |
#s(approx (- (* (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) eps) 1/2) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2))) |
#s(approx (* (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) eps) #s(hole binary64 (* 9/40 (pow eps 2)))) |
#s(approx (* (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) eps) #s(hole binary64 (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))))) |
#s(approx (* (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) eps) #s(hole binary64 (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))))) |
#s(approx (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* 9/40 eps))) |
#s(approx (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* eps (+ 9/40 (* -27/2800 (pow eps 2)))))) |
#s(approx (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))))) |
#s(approx (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) #s(hole binary64 9/40)) |
#s(approx (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (+ 9/40 (* -27/2800 (pow eps 2))))) |
#s(approx (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))) |
#s(approx (- (* (* 27/112000 eps) eps) 27/2800) #s(hole binary64 -27/2800)) |
#s(approx (- (* (* 27/112000 eps) eps) 27/2800) #s(hole binary64 (- (* 27/112000 (pow eps 2)) 27/2800))) |
#s(approx (* (* 27/112000 eps) eps) #s(hole binary64 (* 27/112000 (pow eps 2)))) |
#s(approx (* 27/112000 eps) #s(hole binary64 (* 27/112000 eps))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (* eps eps) #s(hole binary64 (pow eps 2))) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* 1/6 (pow eps 3)))) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))))) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))))) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))))) |
#s(approx (* (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) eps) #s(hole binary64 (* 1/6 (pow eps 3)))) |
#s(approx (* (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) eps) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))))) |
#s(approx (* (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) eps) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))))) |
#s(approx (* (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) eps) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))))) |
#s(approx (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) #s(hole binary64 (* 1/6 (pow eps 2)))) |
#s(approx (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 1/6 (* -1/120 (pow eps 2)))))) |
#s(approx (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))))) |
#s(approx (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))))) |
#s(approx (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) #s(hole binary64 1/6)) |
#s(approx (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) #s(hole binary64 (+ 1/6 (* -1/120 (pow eps 2))))) |
#s(approx (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) #s(hole binary64 (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))) |
#s(approx (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) #s(hole binary64 (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))) |
#s(approx (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) #s(hole binary64 (* -1/120 eps))) |
#s(approx (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) #s(hole binary64 (* eps (- (* 1/5040 (pow eps 2)) 1/120)))) |
#s(approx (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) |
#s(approx (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) #s(hole binary64 -1/120)) |
#s(approx (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) #s(hole binary64 (- (* 1/5040 (pow eps 2)) 1/120))) |
#s(approx (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) #s(hole binary64 (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))) |
#s(approx (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) #s(hole binary64 (* 1/5040 (pow eps 2)))) |
#s(approx (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) #s(hole binary64 (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))))) |
#s(approx (* (+ (* (* eps eps) -1/362880) 1/5040) eps) #s(hole binary64 (* 1/5040 eps))) |
#s(approx (* (+ (* (* eps eps) -1/362880) 1/5040) eps) #s(hole binary64 (* eps (+ 1/5040 (* -1/362880 (pow eps 2)))))) |
#s(approx (+ (* (* eps eps) -1/362880) 1/5040) #s(hole binary64 1/5040)) |
#s(approx (+ (* (* eps eps) -1/362880) 1/5040) #s(hole binary64 (+ 1/5040 (* -1/362880 (pow eps 2))))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* -1/3 (pow eps 3)))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)))) |
#s(approx (tan eps) #s(hole binary64 eps)) |
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2)))))) |
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))))) |
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 1)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole 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))))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 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)))))))) |
#s(approx (- (* (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) eps) 1/2) #s(hole binary64 (* 27/112000 (pow eps 6)))) |
#s(approx (- (* (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) eps) 1/2) #s(hole binary64 (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (- (* (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) eps) 1/2) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (- (* (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) eps) 1/2) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))))) |
#s(approx (* (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) eps) #s(hole binary64 (* 27/112000 (pow eps 6)))) |
#s(approx (* (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) eps) #s(hole binary64 (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (* (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) eps) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* 27/112000 (pow eps 5)))) |
#s(approx (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* (pow eps 5) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (* 27/112000 (pow eps 4)))) |
#s(approx (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (- (* (* 27/112000 eps) eps) 27/2800) #s(hole binary64 (* 27/112000 (pow eps 2)))) |
#s(approx (- (* (* 27/112000 eps) eps) 27/2800) #s(hole binary64 (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (- eps (sin eps)) #s(hole binary64 eps)) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))) |
#s(approx (* (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) eps) #s(hole binary64 (* -1/362880 (pow eps 9)))) |
#s(approx (* (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) eps) #s(hole binary64 (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))) |
#s(approx (* (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) eps) #s(hole binary64 (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4))))))) |
#s(approx (* (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) eps) #s(hole binary64 (* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4))))))) |
#s(approx (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) #s(hole binary64 (* -1/362880 (pow eps 8)))) |
#s(approx (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) #s(hole binary64 (* (pow eps 8) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))) |
#s(approx (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) #s(hole binary64 (* (pow eps 8) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4))))))) |
#s(approx (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) #s(hole binary64 (* (pow eps 8) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4))))))) |
#s(approx (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) #s(hole binary64 (* -1/362880 (pow eps 6)))) |
#s(approx (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) #s(hole binary64 (* (pow eps 6) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))) |
#s(approx (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) #s(hole binary64 (* (pow eps 6) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4))))))) |
#s(approx (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) #s(hole binary64 (* (pow eps 6) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4))))))) |
#s(approx (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) #s(hole binary64 (* -1/362880 (pow eps 5)))) |
#s(approx (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) #s(hole binary64 (* (pow eps 5) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))) |
#s(approx (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) #s(hole binary64 (* (pow eps 5) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4))))))) |
#s(approx (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) #s(hole binary64 (* -1/362880 (pow eps 4)))) |
#s(approx (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) #s(hole binary64 (* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))) |
#s(approx (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) #s(hole binary64 (* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4))))))) |
#s(approx (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) #s(hole binary64 (* -1/362880 (pow eps 4)))) |
#s(approx (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) #s(hole binary64 (* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))) |
#s(approx (* (+ (* (* eps eps) -1/362880) 1/5040) eps) #s(hole binary64 (* -1/362880 (pow eps 3)))) |
#s(approx (* (+ (* (* eps eps) -1/362880) 1/5040) eps) #s(hole binary64 (* (pow eps 3) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))) |
#s(approx (+ (* (* eps eps) -1/362880) 1/5040) #s(hole binary64 (* -1/362880 (pow eps 2)))) |
#s(approx (+ (* (* eps eps) -1/362880) 1/5040) #s(hole binary64 (* (pow eps 2) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))) |
#s(approx (- eps (tan eps)) #s(hole binary64 eps)) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))) |
#s(approx (tan eps) #s(hole binary64 (/ (sin eps) (cos eps)))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 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))))) |
#s(approx (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000))))) |
#s(approx (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4)))))))) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* -1 (* eps (- (/ (sin eps) eps) 1))))) |
#s(approx (* (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) eps) #s(hole binary64 (* -1 (* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2)))))))) |
#s(approx (* (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) eps) #s(hole binary64 (* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2)))))))) |
#s(approx (* (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) eps) #s(hole binary64 (* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6))))))))) |
#s(approx (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2)))))))) |
#s(approx (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2)))))))) |
#s(approx (* (+ (* (* eps eps) -1/362880) 1/5040) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2)))))))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | eps | @ | -inf | ((/ (- eps (sin eps)) (- eps (tan eps))) (- (* (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) eps) 1/2) (* (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) eps) (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) (- (* (* 27/112000 eps) eps) 27/2800) (* (* 27/112000 eps) eps) (* 27/112000 eps) 27/112000 eps 27/2800 (* eps eps) 9/40 1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (* (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) eps) (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) (* (+ (* (* eps eps) -1/362880) 1/5040) eps) (+ (* (* eps eps) -1/362880) 1/5040) -1/362880 1/5040 1/120 1/6 (- eps (tan eps)) (tan eps)) |
| 3.0ms | eps | @ | inf | ((/ (- eps (sin eps)) (- eps (tan eps))) (- (* (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) eps) 1/2) (* (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) eps) (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) (- (* (* 27/112000 eps) eps) 27/2800) (* (* 27/112000 eps) eps) (* 27/112000 eps) 27/112000 eps 27/2800 (* eps eps) 9/40 1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (* (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) eps) (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) (* (+ (* (* eps eps) -1/362880) 1/5040) eps) (+ (* (* eps eps) -1/362880) 1/5040) -1/362880 1/5040 1/120 1/6 (- eps (tan eps)) (tan eps)) |
| 2.0ms | eps | @ | 0 | ((/ (- eps (sin eps)) (- eps (tan eps))) (- (* (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) eps) 1/2) (* (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) eps) (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) (- (* (* 27/112000 eps) eps) 27/2800) (* (* 27/112000 eps) eps) (* 27/112000 eps) 27/112000 eps 27/2800 (* eps eps) 9/40 1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (* (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) eps) (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) (* (+ (* (* eps eps) -1/362880) 1/5040) eps) (+ (* (* eps eps) -1/362880) 1/5040) -1/362880 1/5040 1/120 1/6 (- eps (tan eps)) (tan eps)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 404 | 3411 |
| 0 | 441 | 3227 |
| 1 | 1815 | 3200 |
| 0 | 8488 | 3171 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) |
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) |
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(-.f64 (*.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps) #s(literal 27/2800 binary64)) |
(*.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps) |
(*.f64 #s(literal 27/112000 binary64) eps) |
#s(literal 27/112000 binary64) |
eps |
#s(literal 27/2800 binary64) |
(*.f64 eps eps) |
#s(literal 9/40 binary64) |
#s(literal 1/2 binary64) |
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64)) (*.f64 eps eps)) eps)) (-.f64 eps (tan.f64 eps))) |
#s(approx (- eps (sin eps)) (*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64)) (*.f64 eps eps)) eps)) |
(*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64)) (*.f64 eps eps)) eps) |
(*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64)) (*.f64 eps eps)) |
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64)) |
(*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) |
(-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) |
(*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) eps) eps) |
(*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) eps) |
(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) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 -1/2)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2))) |
#s(approx (- (* (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) eps) 1/2) #s(hole binary64 -1/2)) |
#s(approx (- (* (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) eps) 1/2) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2))) |
#s(approx (- (* (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) eps) 1/2) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2))) |
#s(approx (- (* (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) eps) 1/2) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2))) |
#s(approx (* (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) eps) #s(hole binary64 (* 9/40 (pow eps 2)))) |
#s(approx (* (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) eps) #s(hole binary64 (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))))) |
#s(approx (* (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) eps) #s(hole binary64 (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))))) |
#s(approx (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* 9/40 eps))) |
#s(approx (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* eps (+ 9/40 (* -27/2800 (pow eps 2)))))) |
#s(approx (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))))) |
#s(approx (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) #s(hole binary64 9/40)) |
#s(approx (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (+ 9/40 (* -27/2800 (pow eps 2))))) |
#s(approx (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))) |
#s(approx (- (* (* 27/112000 eps) eps) 27/2800) #s(hole binary64 -27/2800)) |
#s(approx (- (* (* 27/112000 eps) eps) 27/2800) #s(hole binary64 (- (* 27/112000 (pow eps 2)) 27/2800))) |
#s(approx (* (* 27/112000 eps) eps) #s(hole binary64 (* 27/112000 (pow eps 2)))) |
#s(approx (* 27/112000 eps) #s(hole binary64 (* 27/112000 eps))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (* eps eps) #s(hole binary64 (pow eps 2))) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* 1/6 (pow eps 3)))) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))))) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))))) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))))) |
#s(approx (* (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) eps) #s(hole binary64 (* 1/6 (pow eps 3)))) |
#s(approx (* (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) eps) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))))) |
#s(approx (* (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) eps) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))))) |
#s(approx (* (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) eps) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))))) |
#s(approx (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) #s(hole binary64 (* 1/6 (pow eps 2)))) |
#s(approx (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 1/6 (* -1/120 (pow eps 2)))))) |
#s(approx (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))))) |
#s(approx (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))))) |
#s(approx (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) #s(hole binary64 1/6)) |
#s(approx (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) #s(hole binary64 (+ 1/6 (* -1/120 (pow eps 2))))) |
#s(approx (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) #s(hole binary64 (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))) |
#s(approx (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) #s(hole binary64 (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))) |
#s(approx (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) #s(hole binary64 (* -1/120 eps))) |
#s(approx (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) #s(hole binary64 (* eps (- (* 1/5040 (pow eps 2)) 1/120)))) |
#s(approx (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) |
#s(approx (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) #s(hole binary64 -1/120)) |
#s(approx (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) #s(hole binary64 (- (* 1/5040 (pow eps 2)) 1/120))) |
#s(approx (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) #s(hole binary64 (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))) |
#s(approx (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) #s(hole binary64 (* 1/5040 (pow eps 2)))) |
#s(approx (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) #s(hole binary64 (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))))) |
#s(approx (* (+ (* (* eps eps) -1/362880) 1/5040) eps) #s(hole binary64 (* 1/5040 eps))) |
#s(approx (* (+ (* (* eps eps) -1/362880) 1/5040) eps) #s(hole binary64 (* eps (+ 1/5040 (* -1/362880 (pow eps 2)))))) |
#s(approx (+ (* (* eps eps) -1/362880) 1/5040) #s(hole binary64 1/5040)) |
#s(approx (+ (* (* eps eps) -1/362880) 1/5040) #s(hole binary64 (+ 1/5040 (* -1/362880 (pow eps 2))))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* -1/3 (pow eps 3)))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)))) |
#s(approx (tan eps) #s(hole binary64 eps)) |
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2)))))) |
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))))) |
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 1)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole 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))))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 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)))))))) |
#s(approx (- (* (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) eps) 1/2) #s(hole binary64 (* 27/112000 (pow eps 6)))) |
#s(approx (- (* (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) eps) 1/2) #s(hole binary64 (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (- (* (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) eps) 1/2) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (- (* (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) eps) 1/2) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))))) |
#s(approx (* (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) eps) #s(hole binary64 (* 27/112000 (pow eps 6)))) |
#s(approx (* (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) eps) #s(hole binary64 (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (* (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) eps) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* 27/112000 (pow eps 5)))) |
#s(approx (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* (pow eps 5) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (* 27/112000 (pow eps 4)))) |
#s(approx (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (- (* (* 27/112000 eps) eps) 27/2800) #s(hole binary64 (* 27/112000 (pow eps 2)))) |
#s(approx (- (* (* 27/112000 eps) eps) 27/2800) #s(hole binary64 (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (- eps (sin eps)) #s(hole binary64 eps)) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))) |
#s(approx (* (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) eps) #s(hole binary64 (* -1/362880 (pow eps 9)))) |
#s(approx (* (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) eps) #s(hole binary64 (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))) |
#s(approx (* (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) eps) #s(hole binary64 (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4))))))) |
#s(approx (* (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) eps) #s(hole binary64 (* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4))))))) |
#s(approx (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) #s(hole binary64 (* -1/362880 (pow eps 8)))) |
#s(approx (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) #s(hole binary64 (* (pow eps 8) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))) |
#s(approx (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) #s(hole binary64 (* (pow eps 8) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4))))))) |
#s(approx (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) #s(hole binary64 (* (pow eps 8) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4))))))) |
#s(approx (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) #s(hole binary64 (* -1/362880 (pow eps 6)))) |
#s(approx (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) #s(hole binary64 (* (pow eps 6) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))) |
#s(approx (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) #s(hole binary64 (* (pow eps 6) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4))))))) |
#s(approx (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) #s(hole binary64 (* (pow eps 6) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4))))))) |
#s(approx (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) #s(hole binary64 (* -1/362880 (pow eps 5)))) |
#s(approx (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) #s(hole binary64 (* (pow eps 5) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))) |
#s(approx (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) #s(hole binary64 (* (pow eps 5) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4))))))) |
#s(approx (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) #s(hole binary64 (* -1/362880 (pow eps 4)))) |
#s(approx (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) #s(hole binary64 (* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))) |
#s(approx (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) #s(hole binary64 (* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4))))))) |
#s(approx (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) #s(hole binary64 (* -1/362880 (pow eps 4)))) |
#s(approx (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) #s(hole binary64 (* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))) |
#s(approx (* (+ (* (* eps eps) -1/362880) 1/5040) eps) #s(hole binary64 (* -1/362880 (pow eps 3)))) |
#s(approx (* (+ (* (* eps eps) -1/362880) 1/5040) eps) #s(hole binary64 (* (pow eps 3) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))) |
#s(approx (+ (* (* eps eps) -1/362880) 1/5040) #s(hole binary64 (* -1/362880 (pow eps 2)))) |
#s(approx (+ (* (* eps eps) -1/362880) 1/5040) #s(hole binary64 (* (pow eps 2) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))) |
#s(approx (- eps (tan eps)) #s(hole binary64 eps)) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))) |
#s(approx (tan eps) #s(hole binary64 (/ (sin eps) (cos eps)))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 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))))) |
#s(approx (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000))))) |
#s(approx (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4)))))))) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* -1 (* eps (- (/ (sin eps) eps) 1))))) |
#s(approx (* (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) eps) #s(hole binary64 (* -1 (* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2)))))))) |
#s(approx (* (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) eps) #s(hole binary64 (* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2)))))))) |
#s(approx (* (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) eps) #s(hole binary64 (* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6))))))))) |
#s(approx (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2)))))))) |
#s(approx (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2)))))))) |
#s(approx (* (+ (* (* eps eps) -1/362880) 1/5040) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2)))))))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))))) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64))) |
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#s(approx (- eps (tan eps)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -17/315 binary64) (*.f64 eps eps)) #s(literal 2/15 binary64)) (*.f64 eps eps)) #s(literal 1/3 binary64)) (*.f64 (*.f64 eps eps) eps))) |
#s(approx (- eps (tan eps)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -62/2835 binary64) (*.f64 eps eps)) #s(literal 17/315 binary64)) (*.f64 eps eps)) #s(literal 2/15 binary64)) (*.f64 eps eps)) #s(literal 1/3 binary64)) (*.f64 (*.f64 eps eps) eps))) |
#s(approx (tan eps) eps) |
#s(approx (tan eps) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)) eps)) |
#s(approx (tan eps) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) |
#s(approx (tan eps) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 eps eps) #s(literal 2/15 binary64)) (*.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal 1 binary64)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 eps) eps)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) eps) (tan.f64 eps)))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (+.f64 (fma.f64 (tan.f64 eps) (/.f64 (-.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (tan.f64 eps))) (*.f64 eps eps)) (neg.f64 (/.f64 (sin.f64 eps) eps))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) eps) (tan.f64 eps)))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (+.f64 (fma.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (tan.f64 eps))) (*.f64 (*.f64 eps eps) eps)) (neg.f64 (/.f64 (sin.f64 eps) eps))) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) eps) (tan.f64 eps) (neg.f64 (*.f64 (/.f64 (-.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (tan.f64 eps))) (*.f64 eps eps)) (tan.f64 eps)))))) |
#s(approx (- (* (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) eps) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) #s(literal 27/112000 binary64))) |
#s(approx (- (* (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) eps) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))))) |
#s(approx (- (* (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) eps) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) (+.f64 #s(literal 27/112000 binary64) (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)))))) |
#s(approx (- (* (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) eps) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) (-.f64 (+.f64 #s(literal 27/112000 binary64) (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)))))) |
#s(approx (* (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) eps) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) #s(literal 27/112000 binary64))) |
#s(approx (* (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) eps) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))))) |
#s(approx (* (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) eps) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) (+.f64 #s(literal 27/112000 binary64) (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)))))) |
#s(approx (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 27/112000 binary64))) |
#s(approx (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))))) |
#s(approx (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 27/112000 binary64) (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)))))) |
#s(approx (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 27/112000 binary64))) |
#s(approx (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))))) |
#s(approx (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) (*.f64 (+.f64 #s(literal 27/112000 binary64) (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (* (* 27/112000 eps) eps) 27/2800) (*.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps)) |
#s(approx (- (* (* 27/112000 eps) eps) 27/2800) (*.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (*.f64 eps eps))) |
#s(approx (- eps (sin eps)) eps) |
#s(approx (- eps (sin eps)) (*.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 eps) eps)) #s(literal 1 binary64)) eps)) |
#s(approx (* (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) eps) (*.f64 (pow.f64 eps #s(literal 9 binary64)) #s(literal -1/362880 binary64))) |
#s(approx (* (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) eps) (*.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/362880 binary64)) (pow.f64 eps #s(literal 9 binary64)))) |
#s(approx (* (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) eps) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (pow.f64 eps #s(literal 9 binary64)))) |
#s(approx (* (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) eps) (*.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 eps #s(literal -6 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps))) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (pow.f64 eps #s(literal 9 binary64)))) |
#s(approx (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) (*.f64 (pow.f64 eps #s(literal 8 binary64)) #s(literal -1/362880 binary64))) |
#s(approx (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) (*.f64 (pow.f64 eps #s(literal 8 binary64)) (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/362880 binary64)))) |
#s(approx (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) (*.f64 (pow.f64 eps #s(literal 8 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))) |
#s(approx (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) (*.f64 (pow.f64 eps #s(literal 8 binary64)) (-.f64 (-.f64 (fma.f64 (pow.f64 eps #s(literal -6 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps))) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))) |
#s(approx (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) #s(literal -1/362880 binary64))) |
#s(approx (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/362880 binary64)))) |
#s(approx (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) (-.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))) |
#s(approx (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) (-.f64 (-.f64 (fma.f64 (pow.f64 eps #s(literal -6 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps))) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))) |
#s(approx (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal -1/362880 binary64))) |
#s(approx (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) (*.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/362880 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal -1/362880 binary64))) |
#s(approx (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) (*.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/362880 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal -1/362880 binary64))) |
#s(approx (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) (*.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/362880 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (* (+ (* (* eps eps) -1/362880) 1/5040) eps) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal -1/362880 binary64))) |
#s(approx (* (+ (* (* eps eps) -1/362880) 1/5040) eps) (*.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/362880 binary64)) (*.f64 (*.f64 eps eps) eps))) |
#s(approx (+ (* (* eps eps) -1/362880) 1/5040) (*.f64 (*.f64 eps eps) #s(literal -1/362880 binary64))) |
#s(approx (+ (* (* eps eps) -1/362880) 1/5040) (*.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/362880 binary64)) (*.f64 eps eps))) |
#s(approx (- eps (tan eps)) eps) |
#s(approx (- eps (tan eps)) (*.f64 (fma.f64 (tan.f64 eps) (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) eps)) |
#s(approx (tan eps) (tan.f64 eps)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (+.f64 (neg.f64 (/.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) eps)) #s(literal 1 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) eps) (tan.f64 eps) (sin.f64 eps)) (tan.f64 eps)) eps)) #s(literal 1 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (+.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (*.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (/.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) eps))) (/.f64 (*.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) (sin.f64 eps)) (cos.f64 eps))) eps)) (sin.f64 eps)) (tan.f64 eps)) eps)) #s(literal 1 binary64))) |
#s(approx (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)) #s(literal 27/112000 binary64)) (pow.f64 eps #s(literal 5 binary64))))) |
#s(approx (* (+ (* (- (* (* 27/112000 eps) eps) 27/2800) (* eps eps)) 9/40) eps) (neg.f64 (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)) #s(literal 27/112000 binary64)) (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (pow.f64 eps #s(literal 5 binary64))))) |
#s(approx (- eps (sin eps)) (neg.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) |
#s(approx (* (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 9 binary64))))) |
#s(approx (* (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) eps) (neg.f64 (*.f64 (+.f64 #s(literal 1/362880 binary64) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)))) (pow.f64 eps #s(literal 9 binary64))))) |
#s(approx (* (* (+ (* (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* eps eps)) eps) (neg.f64 (*.f64 (-.f64 (+.f64 #s(literal 1/362880 binary64) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)))) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)))) (pow.f64 eps #s(literal 9 binary64))))) |
#s(approx (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 5 binary64))))) |
#s(approx (* (- (* (* (+ (* (* eps eps) -1/362880) 1/5040) eps) eps) 1/120) eps) (neg.f64 (*.f64 (+.f64 #s(literal 1/362880 binary64) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)))) (pow.f64 eps #s(literal 5 binary64))))) |
#s(approx (* (+ (* (* eps eps) -1/362880) 1/5040) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps))) (*.f64 (*.f64 eps eps) eps)))) |
#s(approx (- eps (tan eps)) (neg.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) #s(literal 1 binary64)) eps))) |
Compiled 16 500 to 2 291 computations (86.1% saved)
5 alts after pruning (0 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 379 | 0 | 379 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 3 | 3 |
| Total | 379 | 5 | 384 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 2.2% | (/.f64 #s(approx (- eps (sin eps)) (*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64)) (*.f64 eps eps)) eps)) (-.f64 eps (tan.f64 eps))) |
| ✓ | 99.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64))) |
| ✓ | 99.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64))) |
| ✓ | 99.7% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) |
| ✓ | 99.1% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
Compiled 292 to 135 computations (53.8% saved)
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64)) (*.f64 eps eps)) eps)) (-.f64 eps (tan.f64 eps))) |
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) (-.f64 eps (tan.f64 eps))) |
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64))) |
2 calls:
| 3.0ms | eps |
| 2.0ms | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 99.9% | 1 | eps |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64))) |
2 calls:
| 1.0ms | eps |
| 1.0ms | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 99.9% | 1 | eps |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) |
2 calls:
| 1.0ms | eps |
| 1.0ms | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 99.7% | 1 | eps |
Compiled 10 to 7 computations (30% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
2 calls:
| 7.0ms | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 1.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 99.1% | 1 | eps |
Compiled 10 to 7 computations (30% saved)
| 1× | done |
Compiled 78 to 29 computations (62.8% saved)
Compiled 262 to 126 computations (51.9% saved)
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