
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)
| 5.1s | 4 382× | 2 | valid |
| 1.6s | 1 429× | 3 | valid |
| 359.0ms | 2 384× | 1 | valid |
| 3.0ms | 61× | 0 | valid |
ival-tan: 4.2s (60.9% of total)ival-sin: 2.0s (29.7% of total)adjust: 403.0ms (5.9% of total)ival-sub!: 129.0ms (1.9% of total)ival-div!: 107.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-and: 0.0ms (0% of total)ival-<=: 0.0ms (0% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 32 |
| 1 | 57 | 27 |
| 2 | 269 | 27 |
| 3 | 1014 | 27 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 1.9% | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
(abs eps)
Compiled 12 to 12 computations (0% 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 (+ 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 (+ 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 (+ 1 (* -1 (/ (sin eps) eps)))))) |
#s(approx (sin eps) #s(hole binary64 (sin 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 | 204 | 745 |
| 0 | 212 | 693 |
| 1 | 1575 | 666 |
| 0 | 8904 | 631 |
| 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 (+ 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 (+ 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 (+ 1 (* -1 (/ (sin eps) eps)))))) |
#s(approx (sin eps) #s(hole binary64 (sin 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 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) (-.f64 #s(literal 1 binary64) (/.f64 (tan.f64 eps) eps))) (/.f64 eps eps)) |
(*.f64 (-.f64 eps (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps)))) |
(pow.f64 (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)) #s(literal -1 binary64)) |
(/.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 (-.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 (*.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))))) #s(literal 1 binary64)) (*.f64 (+.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.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 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 (sin.f64 eps) eps) (-.f64 (tan.f64 eps) eps)) |
(/.f64 (neg.f64 (-.f64 eps (sin.f64 eps))) (neg.f64 (-.f64 eps (tan.f64 eps)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) 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 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (neg.f64 (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) |
(/.f64 (fma.f64 (*.f64 eps eps) eps (pow.f64 (neg.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 (neg.f64 (sin.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))))) |
(neg.f64 (-.f64 (sin.f64 eps) 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)) |
(+.f64 eps (neg.f64 (sin.f64 eps))) |
eps |
(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 (-.f64 #s(literal 1 binary64) (/.f64 (tan.f64 eps) eps)) eps) |
(/.f64 (fma.f64 (*.f64 eps eps) eps (pow.f64 (neg.f64 (tan.f64 eps)) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps (neg.f64 (tan.f64 eps)))))) |
(/.f64 (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))))) |
(neg.f64 (-.f64 (tan.f64 eps) 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 eps (neg.f64 (tan.f64 eps))) |
(*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) |
(pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) #s(literal -1 binary64)) |
(/.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 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 eps) (sin.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))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
#s(approx (- eps (sin eps)) (*.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 (fma.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 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) |
#s(approx 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 (fma.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 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 eps eps) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal -1/6 binary64)) (*.f64 eps eps) #s(literal 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 (fma.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 (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 (*.f64 eps eps) eps))) |
#s(approx (- eps (tan eps)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -62/2835 binary64) (*.f64 eps eps) #s(literal -17/315 binary64)) (*.f64 eps eps) #s(literal -2/15 binary64)) (*.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 (*.f64 eps 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)) (*.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)) (*.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 854 to 382 computations (55.3% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 73 | 6 | 79 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 73 | 7 | 80 |
| Status | Accuracy | Program |
|---|---|---|
| 1.7% | (/.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)))) | |
| ✓ | 1.9% | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| ▶ | 1.6% | (/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) (-.f64 eps (tan.f64 eps))) |
| ▶ | 99.8% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| ▶ | 99.6% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| ▶ | 99.4% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
| ▶ | 99.0% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
Compiled 176 to 152 computations (13.6% saved)
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) |
#s(literal 27/112000 binary64) |
(*.f64 eps eps) |
eps |
#s(literal -27/2800 binary64) |
#s(literal 9/40 binary64) |
#s(literal -1/2 binary64) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) (-.f64 eps (tan.f64 eps))) |
#s(approx (- eps (sin eps)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) |
(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) #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 (* eps eps) #s(hole binary64 (pow eps 2))) |
#s(approx eps #s(hole binary64 eps)) |
#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) #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) #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 (+ 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) #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) #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 (+ 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) #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 (+ 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 | |
|---|---|---|---|---|
| 4.0ms | eps | @ | inf | ((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (+ (* 27/112000 (* eps eps)) -27/2800) 27/112000 (* eps eps) eps -27/2800 9/40 -1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) -1/2) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* -27/2800 (* eps eps)) 9/40) (/ (- 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) -1/362880 1/5040 -1/120 1/6 (* (* eps eps) eps) (- 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) (+ (* 27/112000 (* eps eps)) -27/2800) 27/112000 (* eps eps) eps -27/2800 9/40 -1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) -1/2) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* -27/2800 (* eps eps)) 9/40) (/ (- 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) -1/362880 1/5040 -1/120 1/6 (* (* eps eps) eps) (- 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) (+ (* 27/112000 (* eps eps)) -27/2800) 27/112000 (* eps eps) eps -27/2800 9/40 -1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) -1/2) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* -27/2800 (* eps eps)) 9/40) (/ (- 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) -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 | 332 | 2114 |
| 0 | 370 | 1964 |
| 1 | 2331 | 1937 |
| 0 | 10059 | 1892 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) |
#s(literal 27/112000 binary64) |
(*.f64 eps eps) |
eps |
#s(literal -27/2800 binary64) |
#s(literal 9/40 binary64) |
#s(literal -1/2 binary64) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) (-.f64 eps (tan.f64 eps))) |
#s(approx (- eps (sin eps)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) |
(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) #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 (* eps eps) #s(hole binary64 (pow eps 2))) |
#s(approx eps #s(hole binary64 eps)) |
#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) #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) #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 (+ 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) #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) #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 (+ 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) #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 (+ 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))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/2 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64))))) |
(neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 eps eps) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64)))))) |
(-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/2 binary64))))) (/.f64 #s(literal -1/8 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/2 binary64)))))) |
(+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/2 binary64)) |
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) eps) eps))) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) eps) eps)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) eps) eps) #s(literal 9/40 binary64))) #s(literal 9/40 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) eps) eps) #s(literal 3 binary64)) #s(literal -729/64000 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) eps) eps) #s(literal 2 binary64)) (+.f64 #s(literal 81/1600 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) eps) eps) #s(literal -9/40 binary64))))) |
(/.f64 (-.f64 #s(literal 729/64000 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 81/1600 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) (*.f64 (neg.f64 (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) (*.f64 #s(literal 9/40 binary64) (*.f64 (neg.f64 (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))))))) |
(/.f64 (-.f64 #s(literal 729/64000 binary64) (pow.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) eps) eps)) #s(literal 3 binary64))) (+.f64 #s(literal 81/1600 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) eps) eps) #s(literal 2 binary64)) (*.f64 #s(literal 9/40 binary64) (neg.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) eps) eps)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 81/1600 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) eps) eps) #s(literal 9/40 binary64)))) |
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#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 5 715 to 1 972 computations (65.5% saved)
9 alts after pruning (5 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 379 | 4 | 383 |
| Fresh | 0 | 1 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 381 | 9 | 390 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 1.7% | (/.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)))) |
| ✓ | 1.9% | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| ▶ | 1.6% | (/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) eps) eps #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) (-.f64 eps (tan.f64 eps))) |
| ✓ | 99.6% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| ▶ | 99.8% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))) |
| ✓ | 99.4% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
| ▶ | 54.1% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))) |
| ▶ | 54.0% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #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)))) |
| ✓ | 99.0% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
Compiled 237 to 202 computations (14.8% saved)
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) |
(fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) |
(*.f64 eps eps) |
eps |
#s(literal 27/112000 binary64) |
#s(literal -27/2800 binary64) |
#s(literal 9/40 binary64) |
#s(literal -1/2 binary64) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #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 (+ (* (* 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))) |
(*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) (*.f64 eps eps)) |
(-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) |
#s(literal 1/2 binary64) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) |
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) 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 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) eps) eps #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) eps) eps #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps)) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) eps) eps #s(literal 1/6 binary64)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) eps) |
(fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) |
(fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) |
#s(literal -1/362880 binary64) |
#s(literal 1/5040 binary64) |
#s(literal -1/120 binary64) |
#s(literal 1/6 binary64) |
(*.f64 (*.f64 eps eps) eps) |
(-.f64 eps (tan.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 (*.f64 eps (-.f64 eps (tan.f64 eps))) (*.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) |
(*.f64 eps (-.f64 eps (tan.f64 eps))) |
(*.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) |
(sin.f64 eps) |
(*.f64 (-.f64 eps (tan.f64 eps)) (-.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 eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* 9/40 eps))) |
#s(approx (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* eps (+ 9/40 (* -27/2800 (pow eps 2)))))) |
#s(approx (* (+ (* (+ (* (* eps eps) 27/112000) -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 (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) #s(hole binary64 9/40)) |
#s(approx (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) #s(hole binary64 (+ 9/40 (* -27/2800 (pow eps 2))))) |
#s(approx (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) #s(hole binary64 (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))) |
#s(approx (+ (* (* eps eps) 27/112000) -27/2800) #s(hole binary64 -27/2800)) |
#s(approx (+ (* (* eps eps) 27/112000) -27/2800) #s(hole binary64 (- (* 27/112000 (pow eps 2)) 27/2800))) |
#s(approx (* eps eps) #s(hole binary64 (pow eps 2))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (- 9/40 (/ 1/2 (* eps eps))) #s(hole binary64 (/ -1/2 (pow eps 2)))) |
#s(approx (- 9/40 (/ 1/2 (* eps eps))) #s(hole binary64 (/ (- (* 9/40 (pow eps 2)) 1/2) (pow eps 2)))) |
#s(approx (/ 1/2 (* eps eps)) #s(hole binary64 (/ 1/2 (pow eps 2)))) |
#s(approx (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) #s(hole binary64 (/ -20/9 (pow eps 2)))) |
#s(approx (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) #s(hole binary64 (/ (- (* 19/21 (pow eps 2)) 20/9) (pow eps 2)))) |
#s(approx (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) #s(hole binary64 (/ (- (* (pow eps 2) (+ 19/21 (* -1/588 (pow eps 2)))) 20/9) (pow eps 2)))) |
#s(approx (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) #s(hole binary64 (/ (- (* (pow eps 2) (+ 19/21 (* (pow eps 2) (- (* 1/34300 (pow eps 2)) 1/588)))) 20/9) (pow eps 2)))) |
#s(approx (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps)) #s(hole binary64 (/ 20/9 (pow eps 2)))) |
#s(approx (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps)) #s(hole binary64 (/ (+ 20/9 (* 2/21 (pow eps 2))) (pow eps 2)))) |
#s(approx (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps)) #s(hole binary64 (/ (+ 20/9 (* (pow eps 2) (+ 2/21 (* 1/588 (pow eps 2))))) (pow eps 2)))) |
#s(approx (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps)) #s(hole binary64 (/ (+ 20/9 (* (pow eps 2) (+ 2/21 (* (pow eps 2) (+ 1/588 (* -1/34300 (pow eps 2))))))) (pow eps 2)))) |
#s(approx (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) #s(hole binary64 (* 9/40 (pow eps 2)))) |
#s(approx (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) #s(hole binary64 (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))))) |
#s(approx (* (* (+ (* (+ (* (* eps eps) 27/112000) -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 (- 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) #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) #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 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 (+ 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 (- eps (tan eps))) (* (- eps (tan eps)) (sin eps))) #s(hole binary64 0)) |
#s(approx (- (* eps (- eps (tan eps))) (* (- eps (tan eps)) (sin eps))) #s(hole binary64 (* -1/18 (pow eps 6)))) |
#s(approx (- (* eps (- eps (tan eps))) (* (- eps (tan eps)) (sin eps))) #s(hole binary64 (* (pow eps 6) (- (* -7/360 (pow eps 2)) 1/18)))) |
#s(approx (- (* eps (- eps (tan eps))) (* (- eps (tan eps)) (sin eps))) #s(hole binary64 (* (pow eps 6) (- (* (pow eps 2) (- (* -601/75600 (pow eps 2)) 7/360)) 1/18)))) |
#s(approx (* eps (- eps (tan eps))) #s(hole binary64 (* -1/3 (pow eps 4)))) |
#s(approx (* eps (- eps (tan eps))) #s(hole binary64 (* (pow eps 4) (- (* -2/15 (pow eps 2)) 1/3)))) |
#s(approx (* eps (- eps (tan eps))) #s(hole binary64 (* (pow eps 4) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)))) |
#s(approx (* eps (- eps (tan eps))) #s(hole binary64 (* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)))) |
#s(approx (* (- eps (tan eps)) (sin eps)) #s(hole binary64 (* (pow eps 4) (- (* -7/90 (pow eps 2)) 1/3)))) |
#s(approx (* (- eps (tan eps)) (sin eps)) #s(hole binary64 (* (pow eps 4) (- (* (pow eps 2) (- (* -29/840 (pow eps 2)) 7/90)) 1/3)))) |
#s(approx (* (- eps (tan eps)) (sin eps)) #s(hole binary64 (* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -451/32400 (pow eps 2)) 29/840)) 7/90)) 1/3)))) |
#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)) (- eps (tan eps))) #s(hole binary64 (* 1/9 (pow eps 6)))) |
#s(approx (* (- eps (tan eps)) (- eps (tan eps))) #s(hole binary64 (* (pow eps 6) (+ 1/9 (* 4/45 (pow eps 2)))))) |
#s(approx (* (- eps (tan eps)) (- eps (tan eps))) #s(hole binary64 (* (pow eps 6) (+ 1/9 (* (pow eps 2) (+ 4/45 (* 254/4725 (pow eps 2)))))))) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | eps | @ | 0 | ((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2) (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps) eps 27/112000 -27/2800 9/40 -1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) -1/2) (* (- 9/40 (/ 1/2 (* eps eps))) (* eps eps)) (- 9/40 (/ 1/2 (* eps eps))) (/ 1/2 (* eps eps)) 1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (* (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps)) (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps)) (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) (/ (- 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) -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) -1/362880 1/5040 -1/120 1/6 (* (* eps eps) eps) (- eps (tan eps)) (tan eps) (/ (- (* eps (- eps (tan eps))) (* (- eps (tan eps)) (sin eps))) (* (- eps (tan eps)) (- eps (tan eps)))) (- (* eps (- eps (tan eps))) (* (- eps (tan eps)) (sin eps))) (* eps (- eps (tan eps))) (* (- eps (tan eps)) (sin eps)) (sin eps) (* (- eps (tan eps)) (- eps (tan eps)))) |
| 8.0ms | eps | @ | inf | ((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2) (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps) eps 27/112000 -27/2800 9/40 -1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) -1/2) (* (- 9/40 (/ 1/2 (* eps eps))) (* eps eps)) (- 9/40 (/ 1/2 (* eps eps))) (/ 1/2 (* eps eps)) 1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (* (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps)) (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps)) (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) (/ (- 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) -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) -1/362880 1/5040 -1/120 1/6 (* (* eps eps) eps) (- eps (tan eps)) (tan eps) (/ (- (* eps (- eps (tan eps))) (* (- eps (tan eps)) (sin eps))) (* (- eps (tan eps)) (- eps (tan eps)))) (- (* eps (- eps (tan eps))) (* (- eps (tan eps)) (sin eps))) (* eps (- eps (tan eps))) (* (- eps (tan eps)) (sin eps)) (sin eps) (* (- eps (tan eps)) (- eps (tan eps)))) |
| 5.0ms | eps | @ | -inf | ((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2) (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps) eps 27/112000 -27/2800 9/40 -1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) -1/2) (* (- 9/40 (/ 1/2 (* eps eps))) (* eps eps)) (- 9/40 (/ 1/2 (* eps eps))) (/ 1/2 (* eps eps)) 1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (* (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps)) (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps)) (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) (/ (- 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) -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) -1/362880 1/5040 -1/120 1/6 (* (* eps eps) eps) (- eps (tan eps)) (tan eps) (/ (- (* eps (- eps (tan eps))) (* (- eps (tan eps)) (sin eps))) (* (- eps (tan eps)) (- eps (tan eps)))) (- (* eps (- eps (tan eps))) (* (- eps (tan eps)) (sin eps))) (* eps (- eps (tan eps))) (* (- eps (tan eps)) (sin eps)) (sin eps) (* (- eps (tan eps)) (- eps (tan eps)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 690 | 4732 |
| 0 | 751 | 4330 |
| 1 | 4928 | 4330 |
| 0 | 8127 | 4210 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) |
(fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) |
(*.f64 eps eps) |
eps |
#s(literal 27/112000 binary64) |
#s(literal -27/2800 binary64) |
#s(literal 9/40 binary64) |
#s(literal -1/2 binary64) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #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 (+ (* (* 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))) |
(*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) (*.f64 eps eps)) |
(-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) |
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#s(literal 1 binary64) |
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(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) |
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(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) eps) eps #s(literal 1/6 binary64)) |
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(fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) |
(fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) |
#s(literal -1/362880 binary64) |
#s(literal 1/5040 binary64) |
#s(literal -1/120 binary64) |
#s(literal 1/6 binary64) |
(*.f64 (*.f64 eps eps) eps) |
(-.f64 eps (tan.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 (*.f64 eps (-.f64 eps (tan.f64 eps))) (*.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) |
(*.f64 eps (-.f64 eps (tan.f64 eps))) |
(*.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) |
(sin.f64 eps) |
(*.f64 (-.f64 eps (tan.f64 eps)) (-.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 eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* 9/40 eps))) |
#s(approx (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* eps (+ 9/40 (* -27/2800 (pow eps 2)))))) |
#s(approx (* (+ (* (+ (* (* eps eps) 27/112000) -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 (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) #s(hole binary64 9/40)) |
#s(approx (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) #s(hole binary64 (+ 9/40 (* -27/2800 (pow eps 2))))) |
#s(approx (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) #s(hole binary64 (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))) |
#s(approx (+ (* (* eps eps) 27/112000) -27/2800) #s(hole binary64 -27/2800)) |
#s(approx (+ (* (* eps eps) 27/112000) -27/2800) #s(hole binary64 (- (* 27/112000 (pow eps 2)) 27/2800))) |
#s(approx (* eps eps) #s(hole binary64 (pow eps 2))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (- 9/40 (/ 1/2 (* eps eps))) #s(hole binary64 (/ -1/2 (pow eps 2)))) |
#s(approx (- 9/40 (/ 1/2 (* eps eps))) #s(hole binary64 (/ (- (* 9/40 (pow eps 2)) 1/2) (pow eps 2)))) |
#s(approx (/ 1/2 (* eps eps)) #s(hole binary64 (/ 1/2 (pow eps 2)))) |
#s(approx (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) #s(hole binary64 (/ -20/9 (pow eps 2)))) |
#s(approx (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) #s(hole binary64 (/ (- (* 19/21 (pow eps 2)) 20/9) (pow eps 2)))) |
#s(approx (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) #s(hole binary64 (/ (- (* (pow eps 2) (+ 19/21 (* -1/588 (pow eps 2)))) 20/9) (pow eps 2)))) |
#s(approx (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) #s(hole binary64 (/ (- (* (pow eps 2) (+ 19/21 (* (pow eps 2) (- (* 1/34300 (pow eps 2)) 1/588)))) 20/9) (pow eps 2)))) |
#s(approx (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps)) #s(hole binary64 (/ 20/9 (pow eps 2)))) |
#s(approx (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps)) #s(hole binary64 (/ (+ 20/9 (* 2/21 (pow eps 2))) (pow eps 2)))) |
#s(approx (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps)) #s(hole binary64 (/ (+ 20/9 (* (pow eps 2) (+ 2/21 (* 1/588 (pow eps 2))))) (pow eps 2)))) |
#s(approx (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps)) #s(hole binary64 (/ (+ 20/9 (* (pow eps 2) (+ 2/21 (* (pow eps 2) (+ 1/588 (* -1/34300 (pow eps 2))))))) (pow eps 2)))) |
#s(approx (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) #s(hole binary64 (* 9/40 (pow eps 2)))) |
#s(approx (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) #s(hole binary64 (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))))) |
#s(approx (* (* (+ (* (+ (* (* eps eps) 27/112000) -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 (- 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) #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) #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 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 (+ 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 (- eps (tan eps))) (* (- eps (tan eps)) (sin eps))) #s(hole binary64 0)) |
#s(approx (- (* eps (- eps (tan eps))) (* (- eps (tan eps)) (sin eps))) #s(hole binary64 (* -1/18 (pow eps 6)))) |
#s(approx (- (* eps (- eps (tan eps))) (* (- eps (tan eps)) (sin eps))) #s(hole binary64 (* (pow eps 6) (- (* -7/360 (pow eps 2)) 1/18)))) |
#s(approx (- (* eps (- eps (tan eps))) (* (- eps (tan eps)) (sin eps))) #s(hole binary64 (* (pow eps 6) (- (* (pow eps 2) (- (* -601/75600 (pow eps 2)) 7/360)) 1/18)))) |
#s(approx (* eps (- eps (tan eps))) #s(hole binary64 (* -1/3 (pow eps 4)))) |
#s(approx (* eps (- eps (tan eps))) #s(hole binary64 (* (pow eps 4) (- (* -2/15 (pow eps 2)) 1/3)))) |
#s(approx (* eps (- eps (tan eps))) #s(hole binary64 (* (pow eps 4) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)))) |
#s(approx (* eps (- eps (tan eps))) #s(hole binary64 (* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)))) |
#s(approx (* (- eps (tan eps)) (sin eps)) #s(hole binary64 (* (pow eps 4) (- (* -7/90 (pow eps 2)) 1/3)))) |
#s(approx (* (- eps (tan eps)) (sin eps)) #s(hole binary64 (* (pow eps 4) (- (* (pow eps 2) (- (* -29/840 (pow eps 2)) 7/90)) 1/3)))) |
#s(approx (* (- eps (tan eps)) (sin eps)) #s(hole binary64 (* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -451/32400 (pow eps 2)) 29/840)) 7/90)) 1/3)))) |
#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)) (- eps (tan eps))) #s(hole binary64 (* 1/9 (pow eps 6)))) |
#s(approx (* (- eps (tan eps)) (- eps (tan eps))) #s(hole binary64 (* (pow eps 6) (+ 1/9 (* 4/45 (pow eps 2)))))) |
#s(approx (* (- eps (tan eps)) (- eps (tan eps))) #s(hole binary64 (* (pow eps 6) (+ 1/9 (* (pow eps 2) (+ 4/45 (* 254/4725 (pow eps 2)))))))) |
#s(approx (* (- eps (tan eps)) (- eps (tan eps))) #s(hole binary64 (* (pow eps 6) (+ 1/9 (* (pow eps 2) (+ 4/45 (* (pow eps 2) (+ 254/4725 (* 176/6075 (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 eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2) #s(hole binary64 (* 27/112000 (pow eps 6)))) |
#s(approx (+ (* (* (+ (* (+ (* (* eps eps) 27/112000) -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 (+ (* (* (+ (* (+ (* (* eps eps) 27/112000) -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 (+ (* (* (+ (* (+ (* (* eps eps) 27/112000) -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 (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* 27/112000 (pow eps 5)))) |
#s(approx (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* (pow eps 5) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (* (+ (* (+ (* (* eps eps) 27/112000) -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 (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) #s(hole binary64 (* 27/112000 (pow eps 4)))) |
#s(approx (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) #s(hole binary64 (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (+ (* (+ (* (* eps eps) 27/112000) -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 (+ (* (* eps eps) 27/112000) -27/2800) #s(hole binary64 (* 27/112000 (pow eps 2)))) |
#s(approx (+ (* (* eps eps) 27/112000) -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 (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))))) |
#s(approx (- 9/40 (/ 1/2 (* eps eps))) #s(hole binary64 (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))) |
#s(approx (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) #s(hole binary64 (- 1 (* 56000/27 (/ 1 (pow eps 6)))))) |
#s(approx (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) #s(hole binary64 (+ 1 (* -1 (/ (+ 56000/27 (* 2240000/27 (/ 1 (pow eps 2)))) (pow eps 6)))))) |
#s(approx (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) #s(hole binary64 (- (+ 1 (* -1 (/ (+ 2240000/27 (* 112000000/81 (/ 1 (pow eps 2)))) (pow eps 8)))) (* 56000/27 (/ 1 (pow eps 6)))))) |
#s(approx (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps)) #s(hole binary64 (/ 56000/27 (pow eps 6)))) |
#s(approx (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps)) #s(hole binary64 (/ (+ 56000/27 (* 2240000/27 (/ 1 (pow eps 2)))) (pow eps 6)))) |
#s(approx (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps)) #s(hole binary64 (/ (+ 56000/27 (+ (* 2240000/27 (/ 1 (pow eps 2))) (/ 112000000/81 (pow eps 4)))) (pow eps 6)))) |
#s(approx (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps)) #s(hole binary64 (/ (- (+ 56000/27 (+ (* 2240000/27 (/ 1 (pow eps 2))) (/ 112000000/81 (pow eps 4)))) (* 1792000000/81 (/ 1 (pow eps 6)))) (pow eps 6)))) |
#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) #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) #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 (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))) |
#s(approx (tan eps) #s(hole binary64 (/ (sin eps) (cos eps)))) |
#s(approx (/ (- (* eps (- eps (tan eps))) (* (- eps (tan eps)) (sin eps))) (* (- eps (tan eps)) (- eps (tan eps)))) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (sin eps) (/ (sin eps) (cos eps))) eps))) (* -2 (/ (sin eps) (* eps (cos eps))))))) |
#s(approx (/ (- (* eps (- eps (tan eps))) (* (- eps (tan eps)) (sin eps))) (* (- eps (tan eps)) (- eps (tan eps)))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ (+ (sin eps) (/ (sin eps) (cos eps))) eps)) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (+ (sin eps) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))) |
#s(approx (/ (- (* eps (- eps (tan eps))) (* (- eps (tan eps)) (sin eps))) (* (- eps (tan eps)) (- eps (tan eps)))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ (+ (sin eps) (/ (sin eps) (cos eps))) eps)) (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (cos eps)) (+ (* -2 (/ (* (sin eps) (- (* -1 (+ (sin eps) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (* -1 (+ (sin eps) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2))) (pow eps 3))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (+ (sin eps) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))) |
#s(approx (- (* eps (- eps (tan eps))) (* (- eps (tan eps)) (sin eps))) #s(hole binary64 (* (pow eps 2) (+ 1 (* -1 (/ (+ (sin eps) (/ (sin eps) (cos eps))) eps)))))) |
#s(approx (- (* eps (- eps (tan eps))) (* (- eps (tan eps)) (sin eps))) #s(hole binary64 (* (pow eps 2) (- (+ 1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (/ (sin eps) eps) (/ (sin eps) (* eps (cos eps)))))))) |
#s(approx (* eps (- eps (tan eps))) #s(hole binary64 (* (pow eps 2) (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))) |
#s(approx (* (- eps (tan eps)) (sin eps)) #s(hole binary64 (* eps (sin eps)))) |
#s(approx (* (- eps (tan eps)) (sin eps)) #s(hole binary64 (* eps (+ (sin eps) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps)))))))) |
#s(approx (sin eps) #s(hole binary64 (sin eps))) |
#s(approx (* (- eps (tan eps)) (- eps (tan eps))) #s(hole binary64 (* (pow eps 2) (+ 1 (* -2 (/ (sin eps) (* eps (cos eps)))))))) |
#s(approx (* (- eps (tan eps)) (- eps (tan eps))) #s(hole binary64 (* (pow eps 2) (+ 1 (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))) |
#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 eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000))))) |
#s(approx (* (+ (* (+ (* (* eps eps) 27/112000) -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 (tan eps)) #s(hole binary64 (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))))) |
#s(approx (/ (- (* eps (- eps (tan eps))) (* (- eps (tan eps)) (sin eps))) (* (- eps (tan eps)) (- eps (tan eps)))) #s(hole binary64 (+ 1 (* -1 (/ (- (/ (sin eps) (cos eps)) (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps))))) eps))))) |
#s(approx (/ (- (* eps (- eps (tan eps))) (* (- eps (tan eps)) (sin eps))) (* (- eps (tan eps)) (- eps (tan eps)))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (/ (pow (sin eps) 2) (cos eps)) (+ (* 2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps)))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps))) (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps))))) eps))))) |
#s(approx (/ (- (* eps (- eps (tan eps))) (* (- eps (tan eps)) (sin eps))) (* (- eps (tan eps)) (- eps (tan eps)))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (cos eps)) (+ (* 2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps)))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* eps (cos eps)))) (+ (/ (* (pow (sin eps) 2) (- (/ (sin eps) (cos eps)) (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps)))))) (* eps (pow (cos eps) 2))) (/ (pow (sin eps) 2) (cos eps)))) (+ (* 2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps)))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps))) (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps))))) eps))))) |
#s(approx (- (* eps (- eps (tan eps))) (* (- eps (tan eps)) (sin eps))) #s(hole binary64 (* (pow eps 2) (+ 1 (* -1 (/ (- (/ (sin eps) (cos eps)) (* -1 (sin eps))) eps)))))) |
#s(approx (- (* eps (- eps (tan eps))) (* (- eps (tan eps)) (sin eps))) #s(hole binary64 (* (pow eps 2) (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) (* eps (cos eps)))) (/ (sin eps) (cos eps))) (* -1 (sin eps))) eps)))))) |
#s(approx (* (- eps (tan eps)) (sin eps)) #s(hole binary64 (* -1 (* eps (+ (* -1 (sin eps)) (/ (pow (sin eps) 2) (* eps (cos eps)))))))) |
#s(approx (* (- eps (tan eps)) (- eps (tan eps))) #s(hole binary64 (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (* 2 (/ (sin eps) (cos eps)))) eps)))))) |
| Outputs |
|---|
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(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps) |
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#s(approx (/ (- (* eps (- eps (tan eps))) (* (- eps (tan eps)) (sin eps))) (* (- eps (tan eps)) (- eps (tan eps)))) (+.f64 (neg.f64 (/.f64 (-.f64 (tan.f64 eps) (fma.f64 (tan.f64 eps) #s(literal 2 binary64) (neg.f64 (sin.f64 eps)))) eps)) #s(literal 1 binary64))) |
#s(approx (/ (- (* eps (- eps (tan eps))) (* (- eps (tan eps)) (sin eps))) (* (- eps (tan eps)) (- eps (tan eps)))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (cos.f64 eps)) (fma.f64 (/.f64 (*.f64 (-.f64 (tan.f64 eps) (fma.f64 (tan.f64 eps) #s(literal 2 binary64) (neg.f64 (sin.f64 eps)))) (sin.f64 eps)) (cos.f64 eps)) #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))))) eps)) (-.f64 (tan.f64 eps) (fma.f64 (tan.f64 eps) #s(literal 2 binary64) (neg.f64 (sin.f64 eps))))) eps)) #s(literal 1 binary64))) |
#s(approx (/ (- (* eps (- eps (tan eps))) (* (- eps (tan eps)) (sin eps))) (* (- eps (tan eps)) (- eps (tan eps)))) (+.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (tan.f64 eps) (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (cos.f64 eps)) (fma.f64 (/.f64 (*.f64 (-.f64 (tan.f64 eps) (fma.f64 (tan.f64 eps) #s(literal 2 binary64) (neg.f64 (sin.f64 eps)))) (sin.f64 eps)) (cos.f64 eps)) #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))))) (sin.f64 eps)) (*.f64 (cos.f64 eps) eps)) #s(literal 2 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (/.f64 (-.f64 (tan.f64 eps) (fma.f64 (tan.f64 eps) #s(literal 2 binary64) (neg.f64 (sin.f64 eps)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) eps)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (cos.f64 eps)))) (fma.f64 (/.f64 (*.f64 (-.f64 (tan.f64 eps) (fma.f64 (tan.f64 eps) #s(literal 2 binary64) (neg.f64 (sin.f64 eps)))) (sin.f64 eps)) (cos.f64 eps)) #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))))) eps))) (fma.f64 (tan.f64 eps) #s(literal 2 binary64) (neg.f64 (sin.f64 eps)))) eps)) #s(literal 1 binary64))) |
#s(approx (- (* eps (- eps (tan eps))) (* (- eps (tan eps)) (sin eps))) (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (tan.f64 eps) (neg.f64 (sin.f64 eps))) eps)) #s(literal 1 binary64)) (*.f64 eps eps))) |
#s(approx (- (* eps (- eps (tan eps))) (* (- eps (tan eps)) (sin eps))) (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (cos.f64 eps) eps))) (tan.f64 eps)) (neg.f64 (sin.f64 eps))) eps)) #s(literal 1 binary64)) (*.f64 eps eps))) |
#s(approx (* (- eps (tan eps)) (sin eps)) (neg.f64 (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (cos.f64 eps) eps)) (neg.f64 (sin.f64 eps))) eps))) |
#s(approx (* (- eps (tan eps)) (- eps (tan eps))) (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (tan.f64 eps) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) eps)))) eps)) #s(literal 1 binary64)) (*.f64 eps eps))) |
Compiled 8 236 to 2 689 computations (67.4% saved)
12 alts after pruning (4 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 475 | 4 | 479 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 476 | 12 | 488 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 1.9% | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| ✓ | 1.6% | (/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) eps) eps #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) (-.f64 eps (tan.f64 eps))) |
| ▶ | 1.7% | (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 eps (tan.f64 eps)) eps) (*.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))))) |
| ▶ | 1.7% | (*.f64 (-.f64 (*.f64 (-.f64 eps (tan.f64 eps)) eps) (*.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))) |
| ✓ | 99.6% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| ✓ | 99.8% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))) |
| ✓ | 99.4% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
| ✓ | 54.1% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))) |
| ▶ | 53.8% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/34300 binary64) (*.f64 eps eps) #s(literal 1/588 binary64)) (*.f64 eps eps) #s(literal 2/21 binary64)) (*.f64 eps eps) #s(literal 20/9 binary64)) (*.f64 eps eps)))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))) |
| ▶ | 53.8% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (*.f64 #s(approx (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/34300 binary64) (*.f64 eps eps) #s(literal -1/588 binary64)) (*.f64 eps eps) #s(literal 19/21 binary64)) (*.f64 eps eps) #s(literal -20/9 binary64)) (*.f64 eps eps))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))) |
| ✓ | 54.0% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #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)))) |
| ✓ | 99.0% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
Compiled 243 to 211 computations (13.2% saved)
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (*.f64 #s(approx (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/34300 binary64) (*.f64 eps eps) #s(literal -1/588 binary64)) (*.f64 eps eps) #s(literal 19/21 binary64)) (*.f64 eps eps) #s(literal -20/9 binary64)) (*.f64 eps eps))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))) |
(*.f64 #s(approx (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/34300 binary64) (*.f64 eps eps) #s(literal -1/588 binary64)) (*.f64 eps eps) #s(literal 19/21 binary64)) (*.f64 eps eps) #s(literal -20/9 binary64)) (*.f64 eps eps))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)) |
#s(approx (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/34300 binary64) (*.f64 eps eps) #s(literal -1/588 binary64)) (*.f64 eps eps) #s(literal 19/21 binary64)) (*.f64 eps eps) #s(literal -20/9 binary64)) (*.f64 eps eps))) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/34300 binary64) (*.f64 eps eps) #s(literal -1/588 binary64)) (*.f64 eps eps) #s(literal 19/21 binary64)) (*.f64 eps eps) #s(literal -20/9 binary64)) (*.f64 eps eps)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/34300 binary64) (*.f64 eps eps) #s(literal -1/588 binary64)) (*.f64 eps eps) #s(literal 19/21 binary64)) (*.f64 eps eps) #s(literal -20/9 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/34300 binary64) (*.f64 eps eps) #s(literal -1/588 binary64)) (*.f64 eps eps) #s(literal 19/21 binary64)) |
(fma.f64 #s(literal 1/34300 binary64) (*.f64 eps eps) #s(literal -1/588 binary64)) |
#s(literal 1/34300 binary64) |
(*.f64 eps eps) |
eps |
#s(literal -1/588 binary64) |
#s(literal 19/21 binary64) |
#s(literal -20/9 binary64) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) |
(*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) |
(fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) |
#s(literal 27/112000 binary64) |
#s(literal -27/2800 binary64) |
#s(literal 9/40 binary64) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/34300 binary64) (*.f64 eps eps) #s(literal 1/588 binary64)) (*.f64 eps eps) #s(literal 2/21 binary64)) (*.f64 eps eps) #s(literal 20/9 binary64)) (*.f64 eps eps)))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))) |
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/34300 binary64) (*.f64 eps eps) #s(literal 1/588 binary64)) (*.f64 eps eps) #s(literal 2/21 binary64)) (*.f64 eps eps) #s(literal 20/9 binary64)) (*.f64 eps eps)))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)) |
(-.f64 #s(literal 1 binary64) #s(approx (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/34300 binary64) (*.f64 eps eps) #s(literal 1/588 binary64)) (*.f64 eps eps) #s(literal 2/21 binary64)) (*.f64 eps eps) #s(literal 20/9 binary64)) (*.f64 eps eps)))) |
#s(literal 1 binary64) |
#s(approx (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/34300 binary64) (*.f64 eps eps) #s(literal 1/588 binary64)) (*.f64 eps eps) #s(literal 2/21 binary64)) (*.f64 eps eps) #s(literal 20/9 binary64)) (*.f64 eps eps))) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/34300 binary64) (*.f64 eps eps) #s(literal 1/588 binary64)) (*.f64 eps eps) #s(literal 2/21 binary64)) (*.f64 eps eps) #s(literal 20/9 binary64)) (*.f64 eps eps)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/34300 binary64) (*.f64 eps eps) #s(literal 1/588 binary64)) (*.f64 eps eps) #s(literal 2/21 binary64)) (*.f64 eps eps) #s(literal 20/9 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/34300 binary64) (*.f64 eps eps) #s(literal 1/588 binary64)) (*.f64 eps eps) #s(literal 2/21 binary64)) |
(fma.f64 #s(literal -1/34300 binary64) (*.f64 eps eps) #s(literal 1/588 binary64)) |
#s(literal -1/34300 binary64) |
#s(literal 1/588 binary64) |
#s(literal 2/21 binary64) |
#s(literal 20/9 binary64) |
(*.f64 (-.f64 (*.f64 (-.f64 eps (tan.f64 eps)) eps) (*.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))) |
(-.f64 (*.f64 (-.f64 eps (tan.f64 eps)) eps) (*.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) |
(*.f64 (-.f64 eps (tan.f64 eps)) eps) |
(-.f64 eps (tan.f64 eps)) |
(tan.f64 eps) |
(*.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) |
(sin.f64 eps) |
(pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 eps (tan.f64 eps)) eps) (*.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))))) |
(/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 eps (tan.f64 eps)) eps) (*.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)))) |
(pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| 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 (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) #s(hole binary64 (/ -20/9 (pow eps 2)))) |
#s(approx (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) #s(hole binary64 (/ (- (* 19/21 (pow eps 2)) 20/9) (pow eps 2)))) |
#s(approx (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) #s(hole binary64 (/ (- (* (pow eps 2) (+ 19/21 (* -1/588 (pow eps 2)))) 20/9) (pow eps 2)))) |
#s(approx (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) #s(hole binary64 (/ (- (* (pow eps 2) (+ 19/21 (* (pow eps 2) (- (* 1/34300 (pow eps 2)) 1/588)))) 20/9) (pow eps 2)))) |
#s(approx (+ (* (+ (* (+ (* 1/34300 (* eps eps)) -1/588) (* eps eps)) 19/21) (* eps eps)) -20/9) #s(hole binary64 -20/9)) |
#s(approx (+ (* (+ (* (+ (* 1/34300 (* eps eps)) -1/588) (* eps eps)) 19/21) (* eps eps)) -20/9) #s(hole binary64 (- (* 19/21 (pow eps 2)) 20/9))) |
#s(approx (+ (* (+ (* (+ (* 1/34300 (* eps eps)) -1/588) (* eps eps)) 19/21) (* eps eps)) -20/9) #s(hole binary64 (- (* (pow eps 2) (+ 19/21 (* -1/588 (pow eps 2)))) 20/9))) |
#s(approx (+ (* (+ (* (+ (* 1/34300 (* eps eps)) -1/588) (* eps eps)) 19/21) (* eps eps)) -20/9) #s(hole binary64 (- (* (pow eps 2) (+ 19/21 (* (pow eps 2) (- (* 1/34300 (pow eps 2)) 1/588)))) 20/9))) |
#s(approx (+ (* (+ (* 1/34300 (* eps eps)) -1/588) (* eps eps)) 19/21) #s(hole binary64 19/21)) |
#s(approx (+ (* (+ (* 1/34300 (* eps eps)) -1/588) (* eps eps)) 19/21) #s(hole binary64 (+ 19/21 (* -1/588 (pow eps 2))))) |
#s(approx (+ (* (+ (* 1/34300 (* eps eps)) -1/588) (* eps eps)) 19/21) #s(hole binary64 (+ 19/21 (* (pow eps 2) (- (* 1/34300 (pow eps 2)) 1/588))))) |
#s(approx (+ (* 1/34300 (* eps eps)) -1/588) #s(hole binary64 -1/588)) |
#s(approx (+ (* 1/34300 (* eps eps)) -1/588) #s(hole binary64 (- (* 1/34300 (pow eps 2)) 1/588))) |
#s(approx (* eps eps) #s(hole binary64 (pow eps 2))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) #s(hole binary64 (* 9/40 (pow eps 2)))) |
#s(approx (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) #s(hole binary64 (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))))) |
#s(approx (* (* (+ (* (+ (* (* eps eps) 27/112000) -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 (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* 9/40 eps))) |
#s(approx (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* eps (+ 9/40 (* -27/2800 (pow eps 2)))))) |
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#s(approx (- eps (tan eps)) #s(hole binary64 (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))))) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | eps | @ | -inf | ((/ (- eps (sin eps)) (- eps (tan eps))) (* (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps)) (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) (/ (+ (* (+ (* (+ (* 1/34300 (* eps eps)) -1/588) (* eps eps)) 19/21) (* eps eps)) -20/9) (* eps eps)) (+ (* (+ (* (+ (* 1/34300 (* eps eps)) -1/588) (* eps eps)) 19/21) (* eps eps)) -20/9) (+ (* (+ (* 1/34300 (* eps eps)) -1/588) (* eps eps)) 19/21) (+ (* 1/34300 (* eps eps)) -1/588) 1/34300 (* eps eps) eps -1/588 19/21 -20/9 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (+ (* (* eps eps) 27/112000) -27/2800) 27/112000 -27/2800 9/40 (/ (- eps (sin eps)) (- eps (tan eps))) (* (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps)) (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps)) (/ (+ (* (+ (* (+ (* -1/34300 (* eps eps)) 1/588) (* eps eps)) 2/21) (* eps eps)) 20/9) (* eps eps)) (+ (* (+ (* (+ (* -1/34300 (* eps eps)) 1/588) (* eps eps)) 2/21) (* eps eps)) 20/9) (+ (* (+ (* -1/34300 (* eps eps)) 1/588) (* eps eps)) 2/21) (+ (* -1/34300 (* eps eps)) 1/588) -1/34300 1/588 2/21 20/9 (* (- (* (- eps (tan eps)) eps) (* (- eps (tan eps)) (sin eps))) (pow (- eps (tan eps)) -2)) (- (* (- eps (tan eps)) eps) (* (- eps (tan eps)) (sin eps))) (* (- eps (tan eps)) eps) (- eps (tan eps)) (tan eps) (* (- eps (tan eps)) (sin eps)) (sin eps) (pow (- eps (tan eps)) -2) -2 (/ 1 (/ (pow (- eps (tan eps)) 2) (- (* (- eps (tan eps)) eps) (* (- eps (tan eps)) (sin eps))))) (/ (pow (- eps (tan eps)) 2) (- (* (- eps (tan eps)) eps) (* (- eps (tan eps)) (sin eps)))) (pow (- eps (tan eps)) 2) 2) |
| 5.0ms | eps | @ | inf | ((/ (- eps (sin eps)) (- eps (tan eps))) (* (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps)) (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) (/ (+ (* (+ (* (+ (* 1/34300 (* eps eps)) -1/588) (* eps eps)) 19/21) (* eps eps)) -20/9) (* eps eps)) (+ (* (+ (* (+ (* 1/34300 (* eps eps)) -1/588) (* eps eps)) 19/21) (* eps eps)) -20/9) (+ (* (+ (* 1/34300 (* eps eps)) -1/588) (* eps eps)) 19/21) (+ (* 1/34300 (* eps eps)) -1/588) 1/34300 (* eps eps) eps -1/588 19/21 -20/9 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (+ (* (* eps eps) 27/112000) -27/2800) 27/112000 -27/2800 9/40 (/ (- eps (sin eps)) (- eps (tan eps))) (* (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps)) (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps)) (/ (+ (* (+ (* (+ (* -1/34300 (* eps eps)) 1/588) (* eps eps)) 2/21) (* eps eps)) 20/9) (* eps eps)) (+ (* (+ (* (+ (* -1/34300 (* eps eps)) 1/588) (* eps eps)) 2/21) (* eps eps)) 20/9) (+ (* (+ (* -1/34300 (* eps eps)) 1/588) (* eps eps)) 2/21) (+ (* -1/34300 (* eps eps)) 1/588) -1/34300 1/588 2/21 20/9 (* (- (* (- eps (tan eps)) eps) (* (- eps (tan eps)) (sin eps))) (pow (- eps (tan eps)) -2)) (- (* (- eps (tan eps)) eps) (* (- eps (tan eps)) (sin eps))) (* (- eps (tan eps)) eps) (- eps (tan eps)) (tan eps) (* (- eps (tan eps)) (sin eps)) (sin eps) (pow (- eps (tan eps)) -2) -2 (/ 1 (/ (pow (- eps (tan eps)) 2) (- (* (- eps (tan eps)) eps) (* (- eps (tan eps)) (sin eps))))) (/ (pow (- eps (tan eps)) 2) (- (* (- eps (tan eps)) eps) (* (- eps (tan eps)) (sin eps)))) (pow (- eps (tan eps)) 2) 2) |
| 3.0ms | eps | @ | 0 | ((/ (- eps (sin eps)) (- eps (tan eps))) (* (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps)) (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) (/ (+ (* (+ (* (+ (* 1/34300 (* eps eps)) -1/588) (* eps eps)) 19/21) (* eps eps)) -20/9) (* eps eps)) (+ (* (+ (* (+ (* 1/34300 (* eps eps)) -1/588) (* eps eps)) 19/21) (* eps eps)) -20/9) (+ (* (+ (* 1/34300 (* eps eps)) -1/588) (* eps eps)) 19/21) (+ (* 1/34300 (* eps eps)) -1/588) 1/34300 (* eps eps) eps -1/588 19/21 -20/9 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (+ (* (* eps eps) 27/112000) -27/2800) 27/112000 -27/2800 9/40 (/ (- eps (sin eps)) (- eps (tan eps))) (* (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps)) (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps)) (/ (+ (* (+ (* (+ (* -1/34300 (* eps eps)) 1/588) (* eps eps)) 2/21) (* eps eps)) 20/9) (* eps eps)) (+ (* (+ (* (+ (* -1/34300 (* eps eps)) 1/588) (* eps eps)) 2/21) (* eps eps)) 20/9) (+ (* (+ (* -1/34300 (* eps eps)) 1/588) (* eps eps)) 2/21) (+ (* -1/34300 (* eps eps)) 1/588) -1/34300 1/588 2/21 20/9 (* (- (* (- eps (tan eps)) eps) (* (- eps (tan eps)) (sin eps))) (pow (- eps (tan eps)) -2)) (- (* (- eps (tan eps)) eps) (* (- eps (tan eps)) (sin eps))) (* (- eps (tan eps)) eps) (- eps (tan eps)) (tan eps) (* (- eps (tan eps)) (sin eps)) (sin eps) (pow (- eps (tan eps)) -2) -2 (/ 1 (/ (pow (- eps (tan eps)) 2) (- (* (- eps (tan eps)) eps) (* (- eps (tan eps)) (sin eps))))) (/ (pow (- eps (tan eps)) 2) (- (* (- eps (tan eps)) eps) (* (- eps (tan eps)) (sin eps)))) (pow (- eps (tan eps)) 2) 2) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 802 | 6024 |
| 0 | 869 | 5260 |
| 1 | 6273 | 5260 |
| 0 | 8271 | 5108 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (*.f64 #s(approx (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/34300 binary64) (*.f64 eps eps) #s(literal -1/588 binary64)) (*.f64 eps eps) #s(literal 19/21 binary64)) (*.f64 eps eps) #s(literal -20/9 binary64)) (*.f64 eps eps))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))) |
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(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/34300 binary64) (*.f64 eps eps) #s(literal -1/588 binary64)) (*.f64 eps eps) #s(literal 19/21 binary64)) (*.f64 eps eps) #s(literal -20/9 binary64)) (*.f64 eps eps)) |
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(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) |
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#s(approx (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* 27/112000 (pow eps 5)))) |
#s(approx (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* (pow eps 5) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (* (+ (* (+ (* (* eps eps) 27/112000) -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 (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) #s(hole binary64 (* 27/112000 (pow eps 4)))) |
#s(approx (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) #s(hole binary64 (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (+ (* (+ (* (* eps eps) 27/112000) -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 (+ (* (* eps eps) 27/112000) -27/2800) #s(hole binary64 (* 27/112000 (pow eps 2)))) |
#s(approx (+ (* (* eps eps) 27/112000) -27/2800) #s(hole binary64 (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps)) #s(hole binary64 (/ 56000/27 (pow eps 6)))) |
#s(approx (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps)) #s(hole binary64 (/ (+ 56000/27 (* 2240000/27 (/ 1 (pow eps 2)))) (pow eps 6)))) |
#s(approx (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps)) #s(hole binary64 (/ (+ 56000/27 (+ (* 2240000/27 (/ 1 (pow eps 2))) (/ 112000000/81 (pow eps 4)))) (pow eps 6)))) |
#s(approx (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps)) #s(hole binary64 (/ (- (+ 56000/27 (+ (* 2240000/27 (/ 1 (pow eps 2))) (/ 112000000/81 (pow eps 4)))) (* 1792000000/81 (/ 1 (pow eps 6)))) (pow eps 6)))) |
#s(approx (/ (+ (* (+ (* (+ (* -1/34300 (* eps eps)) 1/588) (* eps eps)) 2/21) (* eps eps)) 20/9) (* eps eps)) #s(hole binary64 (* -1/34300 (pow eps 4)))) |
#s(approx (/ (+ (* (+ (* (+ (* -1/34300 (* eps eps)) 1/588) (* eps eps)) 2/21) (* eps eps)) 20/9) (* eps eps)) #s(hole binary64 (* (pow eps 4) (- (* 1/588 (/ 1 (pow eps 2))) 1/34300)))) |
#s(approx (/ (+ (* (+ (* (+ (* -1/34300 (* eps eps)) 1/588) (* eps eps)) 2/21) (* eps eps)) 20/9) (* eps eps)) #s(hole binary64 (* (pow eps 4) (- (+ (/ 2/21 (pow eps 4)) (* 1/588 (/ 1 (pow eps 2)))) 1/34300)))) |
#s(approx (/ (+ (* (+ (* (+ (* -1/34300 (* eps eps)) 1/588) (* eps eps)) 2/21) (* eps eps)) 20/9) (* eps eps)) #s(hole binary64 (* (pow eps 4) (- (+ (/ 2/21 (pow eps 4)) (+ (* 1/588 (/ 1 (pow eps 2))) (* 20/9 (/ 1 (pow eps 6))))) 1/34300)))) |
#s(approx (+ (* (+ (* (+ (* -1/34300 (* eps eps)) 1/588) (* eps eps)) 2/21) (* eps eps)) 20/9) #s(hole binary64 (* -1/34300 (pow eps 6)))) |
#s(approx (+ (* (+ (* (+ (* -1/34300 (* eps eps)) 1/588) (* eps eps)) 2/21) (* eps eps)) 20/9) #s(hole binary64 (* (pow eps 6) (- (* 1/588 (/ 1 (pow eps 2))) 1/34300)))) |
#s(approx (+ (* (+ (* (+ (* -1/34300 (* eps eps)) 1/588) (* eps eps)) 2/21) (* eps eps)) 20/9) #s(hole binary64 (* (pow eps 6) (- (+ (/ 2/21 (pow eps 4)) (* 1/588 (/ 1 (pow eps 2)))) 1/34300)))) |
#s(approx (+ (* (+ (* (+ (* -1/34300 (* eps eps)) 1/588) (* eps eps)) 2/21) (* eps eps)) 20/9) #s(hole binary64 (* (pow eps 6) (- (+ (/ 2/21 (pow eps 4)) (+ (* 1/588 (/ 1 (pow eps 2))) (* 20/9 (/ 1 (pow eps 6))))) 1/34300)))) |
#s(approx (+ (* -1/34300 (* eps eps)) 1/588) #s(hole binary64 (* -1/34300 (pow eps 2)))) |
#s(approx (+ (* -1/34300 (* eps eps)) 1/588) #s(hole binary64 (* (pow eps 2) (- (* 1/588 (/ 1 (pow eps 2))) 1/34300)))) |
#s(approx (* (- (* (- eps (tan eps)) eps) (* (- eps (tan eps)) (sin eps))) (pow (- eps (tan eps)) -2)) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (sin eps) (/ (sin eps) (cos eps))) eps))) (* -2 (/ (sin eps) (* eps (cos eps))))))) |
#s(approx (* (- (* (- eps (tan eps)) eps) (* (- eps (tan eps)) (sin eps))) (pow (- eps (tan eps)) -2)) #s(hole binary64 (- (+ 1 (+ (* -1 (/ (+ (sin eps) (/ (sin eps) (cos eps))) eps)) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (+ (sin eps) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))) |
#s(approx (* (- (* (- eps (tan eps)) eps) (* (- eps (tan eps)) (sin eps))) (pow (- eps (tan eps)) -2)) #s(hole binary64 (- (+ 1 (+ (* -1 (/ (+ (sin eps) (/ (sin eps) (cos eps))) eps)) (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (cos eps)) (+ (* -2 (/ (* (sin eps) (- (* -1 (+ (sin eps) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (* -1 (+ (sin eps) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2))) (pow eps 3))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (+ (sin eps) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))) |
#s(approx (- (* (- eps (tan eps)) eps) (* (- eps (tan eps)) (sin eps))) #s(hole binary64 (* (pow eps 2) (+ 1 (* -1 (/ (+ (sin eps) (/ (sin eps) (cos eps))) eps)))))) |
#s(approx (- (* (- eps (tan eps)) eps) (* (- eps (tan eps)) (sin eps))) #s(hole binary64 (* (pow eps 2) (- (+ 1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (/ (sin eps) eps) (/ (sin eps) (* eps (cos eps)))))))) |
#s(approx (* (- eps (tan eps)) eps) #s(hole binary64 (* (pow eps 2) (+ 1 (* -1 (/ (sin eps) (* eps (cos 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 (tan eps)) (sin eps)) #s(hole binary64 (* eps (sin eps)))) |
#s(approx (* (- eps (tan eps)) (sin eps)) #s(hole binary64 (* eps (+ (sin eps) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps)))))))) |
#s(approx (sin eps) #s(hole binary64 (sin eps))) |
#s(approx (pow (- eps (tan eps)) -2) #s(hole binary64 (/ 1 (pow eps 2)))) |
#s(approx (pow (- eps (tan eps)) -2) #s(hole binary64 (/ (+ 1 (* 2 (/ (sin eps) (* eps (cos eps))))) (pow eps 2)))) |
#s(approx (pow (- eps (tan eps)) -2) #s(hole binary64 (/ (- (+ 1 (* -1 (/ (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow eps 2)))) (* -2 (/ (sin eps) (* eps (cos eps))))) (pow eps 2)))) |
#s(approx (pow (- eps (tan eps)) -2) #s(hole binary64 (/ (- (+ 1 (* -1 (/ (+ (* 2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (* 2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))) (pow eps 3)))) (+ (* -4 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) (pow eps 2)))) |
#s(approx (/ (pow (- eps (tan eps)) 2) (- (* (- eps (tan eps)) eps) (* (- eps (tan eps)) (sin eps)))) #s(hole binary64 (- (+ 1 (* -2 (/ (sin eps) (* eps (cos eps))))) (* -1 (/ (+ (sin eps) (/ (sin eps) (cos eps))) eps))))) |
#s(approx (/ (pow (- eps (tan eps)) 2) (- (* (- eps (tan eps)) eps) (* (- eps (tan eps)) (sin eps)))) #s(hole binary64 (- (+ 1 (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))) (+ (* -1 (/ (* (+ (sin eps) (/ (sin eps) (cos eps))) (- (* -2 (/ (sin eps) (cos eps))) (* -1 (+ (sin eps) (/ (sin eps) (cos eps)))))) (pow eps 2))) (+ (* -1 (/ (+ (sin eps) (/ (sin eps) (cos eps))) eps)) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))))))) |
#s(approx (/ (pow (- eps (tan eps)) 2) (- (* (- eps (tan eps)) eps) (* (- eps (tan eps)) (sin eps)))) #s(hole binary64 (- (+ 1 (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (+ (* -1 (* (+ (sin eps) (/ (sin eps) (cos eps))) (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (+ (* -1 (* (+ (sin eps) (/ (sin eps) (cos eps))) (- (* -2 (/ (sin eps) (cos eps))) (* -1 (+ (sin eps) (/ (sin eps) (cos eps))))))) (/ (pow (sin eps) 2) (cos eps)))))) (/ (* (pow (sin eps) 2) (- (* -2 (/ (sin eps) (cos eps))) (* -1 (+ (sin eps) (/ (sin eps) (cos eps)))))) (cos eps))) (pow eps 3))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) (+ (* -1 (/ (* (+ (sin eps) (/ (sin eps) (cos eps))) (- (* -2 (/ (sin eps) (cos eps))) (* -1 (+ (sin eps) (/ (sin eps) (cos eps)))))) (pow eps 2))) (+ (* -1 (/ (+ (sin eps) (/ (sin eps) (cos eps))) eps)) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))))))) |
#s(approx (pow (- eps (tan eps)) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* -2 (/ (sin eps) (* eps (cos eps)))))))) |
#s(approx (pow (- eps (tan eps)) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))) |
#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 eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000))))) |
#s(approx (* (+ (* (+ (* (* eps eps) 27/112000) -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 (tan eps)) eps) (* (- eps (tan eps)) (sin eps))) (pow (- eps (tan eps)) -2)) #s(hole binary64 (+ 1 (* -1 (/ (- (/ (sin eps) (cos eps)) (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps))))) eps))))) |
#s(approx (* (- (* (- eps (tan eps)) eps) (* (- eps (tan eps)) (sin eps))) (pow (- eps (tan eps)) -2)) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (/ (pow (sin eps) 2) (cos eps)) (+ (* 2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps)))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps))) (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps))))) eps))))) |
#s(approx (* (- (* (- eps (tan eps)) eps) (* (- eps (tan eps)) (sin eps))) (pow (- eps (tan eps)) -2)) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (cos eps)) (+ (* 2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps)))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* eps (cos eps)))) (+ (/ (* (pow (sin eps) 2) (- (/ (sin eps) (cos eps)) (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps)))))) (* eps (pow (cos eps) 2))) (/ (pow (sin eps) 2) (cos eps)))) (+ (* 2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps)))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps))) (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps))))) eps))))) |
#s(approx (- (* (- eps (tan eps)) eps) (* (- eps (tan eps)) (sin eps))) #s(hole binary64 (* (pow eps 2) (+ 1 (* -1 (/ (- (/ (sin eps) (cos eps)) (* -1 (sin eps))) eps)))))) |
#s(approx (- (* (- eps (tan eps)) eps) (* (- eps (tan eps)) (sin eps))) #s(hole binary64 (* (pow eps 2) (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) (* eps (cos eps)))) (/ (sin eps) (cos eps))) (* -1 (sin eps))) eps)))))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))))) |
#s(approx (* (- eps (tan eps)) (sin eps)) #s(hole binary64 (* -1 (* eps (+ (* -1 (sin eps)) (/ (pow (sin eps) 2) (* eps (cos eps)))))))) |
#s(approx (pow (- eps (tan eps)) -2) #s(hole binary64 (/ (+ 1 (* -1 (/ (- (+ (* -4 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (* 2 (/ (sin eps) (cos eps)))) eps))) (pow eps 2)))) |
#s(approx (pow (- eps (tan eps)) -2) #s(hole binary64 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* eps (cos eps)))) (* -2 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* 2 (/ (sin eps) (cos eps)))) eps))) (pow eps 2)))) |
#s(approx (/ (pow (- eps (tan eps)) 2) (- (* (- eps (tan eps)) eps) (* (- eps (tan eps)) (sin eps)))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps)))) (/ (sin eps) (cos eps))) eps))))) |
#s(approx (/ (pow (- eps (tan eps)) 2) (- (* (- eps (tan eps)) eps) (* (- eps (tan eps)) (sin eps)))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (* -1 (sin eps)) (+ (* -1 (/ (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (+ (* (- (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps)))) (/ (sin eps) (cos eps))) (- (/ (sin eps) (cos eps)) (* -1 (sin eps)))) (/ (pow (sin eps) 2) (cos eps)))) eps)) (* 2 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))) eps))))) |
#s(approx (/ (pow (- eps (tan eps)) 2) (- (* (- eps (tan eps)) eps) (* (- eps (tan eps)) (sin eps)))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (* -1 (sin eps)) (+ (* -1 (/ (- (+ (/ (* (- (/ (sin eps) (cos eps)) (* -1 (sin eps))) (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (+ (* (- (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps)))) (/ (sin eps) (cos eps))) (- (/ (sin eps) (cos eps)) (* -1 (sin eps)))) (/ (pow (sin eps) 2) (cos eps))))) eps) (+ (/ (* (pow (sin eps) 2) (- (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps)))) (/ (sin eps) (cos eps)))) (* eps (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* (- (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps)))) (/ (sin eps) (cos eps))) (- (/ (sin eps) (cos eps)) (* -1 (sin eps)))) (/ (pow (sin eps) 2) (cos eps)))) eps)) (* 2 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))) eps))))) |
#s(approx (pow (- eps (tan eps)) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (* 2 (/ (sin eps) (cos eps)))) eps)))))) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (*.f64 #s(approx (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) (+.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/34300 binary64) #s(literal -1/588 binary64)) (*.f64 eps eps) #s(literal 19/21 binary64)) (/.f64 #s(literal -20/9 binary64) (*.f64 eps eps)))) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) eps) eps))) |
(*.f64 (*.f64 #s(approx (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) (+.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/34300 binary64) #s(literal -1/588 binary64)) (*.f64 eps eps) #s(literal 19/21 binary64)) (/.f64 #s(literal -20/9 binary64) (*.f64 eps eps)))) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) eps)) eps) |
(*.f64 #s(approx (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) (+.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/34300 binary64) #s(literal -1/588 binary64)) (*.f64 eps eps) #s(literal 19/21 binary64)) (/.f64 #s(literal -20/9 binary64) (*.f64 eps eps)))) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) eps) eps)) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) eps) eps) #s(approx (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) (+.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/34300 binary64) #s(literal -1/588 binary64)) (*.f64 eps eps) #s(literal 19/21 binary64)) (/.f64 #s(literal -20/9 binary64) (*.f64 eps eps))))) |
#s(approx (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) (+.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/34300 binary64) #s(literal -1/588 binary64)) (*.f64 eps eps) #s(literal 19/21 binary64)) (/.f64 #s(literal -20/9 binary64) (*.f64 eps eps)))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/34300 binary64) #s(literal -1/588 binary64)) (*.f64 eps eps) #s(literal 19/21 binary64)) eps) eps #s(literal -20/9 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))) |
(/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/34300 binary64) #s(literal -1/588 binary64)) (*.f64 eps eps) #s(literal 19/21 binary64)) eps) eps #s(literal -20/9 binary64)) eps) eps) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/34300 binary64) #s(literal -1/588 binary64)) (*.f64 eps eps) #s(literal 19/21 binary64)) eps) eps #s(literal -20/9 binary64))) (neg.f64 (*.f64 eps eps))) |
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#s(approx (/ (pow (- eps (tan eps)) 2) (- (* (- eps (tan eps)) eps) (* (- eps (tan eps)) (sin eps)))) (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) #s(literal 1 binary64)) (neg.f64 (/.f64 (+.f64 (tan.f64 eps) (sin.f64 eps)) eps)))) |
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#s(approx (/ (pow (- eps (tan eps)) 2) (- (* (- eps (tan eps)) eps) (* (- eps (tan eps)) (sin eps)))) (-.f64 (-.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) #s(literal 1 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 eps eps))) (neg.f64 (/.f64 (fma.f64 (neg.f64 (+.f64 (tan.f64 eps) (sin.f64 eps))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) (fma.f64 (neg.f64 (+.f64 (tan.f64 eps) (sin.f64 eps))) (-.f64 (*.f64 (tan.f64 eps) #s(literal -2 binary64)) (neg.f64 (+.f64 (tan.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)))) (cos.f64 eps)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (/.f64 (-.f64 (*.f64 (tan.f64 eps) #s(literal -2 binary64)) (neg.f64 (+.f64 (tan.f64 eps) (sin.f64 eps)))) (cos.f64 eps)))) (*.f64 (*.f64 eps eps) eps))))) (neg.f64 (*.f64 (+.f64 (tan.f64 eps) (sin.f64 eps)) (/.f64 (-.f64 (*.f64 (tan.f64 eps) #s(literal -2 binary64)) (neg.f64 (+.f64 (tan.f64 eps) (sin.f64 eps)))) (*.f64 eps eps))))) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (cos.f64 eps) (*.f64 eps eps))) (neg.f64 (/.f64 (+.f64 (tan.f64 eps) (sin.f64 eps)) eps))))) |
#s(approx (pow (- eps (tan eps)) 2) (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) #s(literal 1 binary64)) (*.f64 eps eps))) |
#s(approx (pow (- eps (tan eps)) 2) (*.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 eps eps)))) (*.f64 eps 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 (sin.f64 eps) (/.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) (*.f64 (cos.f64 eps) 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 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (/.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 eps) 27/112000) -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 (* (+ (* (+ (* (* eps eps) 27/112000) -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 (tan eps)) eps) (* (- eps (tan eps)) (sin eps))) (pow (- eps (tan eps)) -2)) (+.f64 (neg.f64 (/.f64 (-.f64 (tan.f64 eps) (fma.f64 (tan.f64 eps) #s(literal 2 binary64) (neg.f64 (sin.f64 eps)))) eps)) #s(literal 1 binary64))) |
#s(approx (* (- (* (- eps (tan eps)) eps) (* (- eps (tan eps)) (sin eps))) (pow (- eps (tan eps)) -2)) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (cos.f64 eps)) (fma.f64 (/.f64 (*.f64 (-.f64 (tan.f64 eps) (fma.f64 (tan.f64 eps) #s(literal 2 binary64) (neg.f64 (sin.f64 eps)))) (sin.f64 eps)) (cos.f64 eps)) #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))))) eps)) (-.f64 (tan.f64 eps) (fma.f64 (tan.f64 eps) #s(literal 2 binary64) (neg.f64 (sin.f64 eps))))) eps)) #s(literal 1 binary64))) |
#s(approx (* (- (* (- eps (tan eps)) eps) (* (- eps (tan eps)) (sin eps))) (pow (- eps (tan eps)) -2)) (+.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (tan.f64 eps) (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (cos.f64 eps)) (fma.f64 (/.f64 (*.f64 (-.f64 (tan.f64 eps) (fma.f64 (tan.f64 eps) #s(literal 2 binary64) (neg.f64 (sin.f64 eps)))) (sin.f64 eps)) (cos.f64 eps)) #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))))) (sin.f64 eps)) (*.f64 (cos.f64 eps) eps)) #s(literal 2 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (/.f64 (-.f64 (tan.f64 eps) (fma.f64 (tan.f64 eps) #s(literal 2 binary64) (neg.f64 (sin.f64 eps)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) eps)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (cos.f64 eps)))) (fma.f64 (/.f64 (*.f64 (-.f64 (tan.f64 eps) (fma.f64 (tan.f64 eps) #s(literal 2 binary64) (neg.f64 (sin.f64 eps)))) (sin.f64 eps)) (cos.f64 eps)) #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))))) eps))) (fma.f64 (tan.f64 eps) #s(literal 2 binary64) (neg.f64 (sin.f64 eps)))) eps)) #s(literal 1 binary64))) |
#s(approx (- (* (- eps (tan eps)) eps) (* (- eps (tan eps)) (sin eps))) (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (tan.f64 eps) (neg.f64 (sin.f64 eps))) eps)) #s(literal 1 binary64)) (*.f64 eps eps))) |
#s(approx (- (* (- eps (tan eps)) eps) (* (- eps (tan eps)) (sin eps))) (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (cos.f64 eps) eps))) (tan.f64 eps)) (neg.f64 (sin.f64 eps))) eps)) #s(literal 1 binary64)) (*.f64 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))) |
#s(approx (* (- eps (tan eps)) (sin eps)) (neg.f64 (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (cos.f64 eps) eps)) (neg.f64 (sin.f64 eps))) eps))) |
#s(approx (pow (- eps (tan eps)) -2) (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) eps)) (*.f64 (tan.f64 eps) #s(literal -2 binary64))) eps)) #s(literal 1 binary64)) (*.f64 eps eps))) |
#s(approx (pow (- eps (tan eps)) -2) (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (sin.f64 eps) (/.f64 (*.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))))) (*.f64 (cos.f64 eps) eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) eps)))) (*.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))))) eps)) (*.f64 (tan.f64 eps) #s(literal 2 binary64))) eps)) #s(literal 1 binary64)) (*.f64 eps eps))) |
#s(approx (/ (pow (- eps (tan eps)) 2) (- (* (- eps (tan eps)) eps) (* (- eps (tan eps)) (sin eps)))) (+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (tan.f64 eps) #s(literal 2 binary64) (neg.f64 (sin.f64 eps))) (tan.f64 eps)) eps)) #s(literal 1 binary64))) |
#s(approx (/ (pow (- eps (tan eps)) 2) (- (* (- eps (tan eps)) eps) (* (- eps (tan eps)) (sin eps)))) (+.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (tan.f64 eps) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) (fma.f64 (-.f64 (fma.f64 (tan.f64 eps) #s(literal 2 binary64) (neg.f64 (sin.f64 eps))) (tan.f64 eps)) (-.f64 (tan.f64 eps) (neg.f64 (sin.f64 eps))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (cos.f64 eps)))) eps))) (neg.f64 (sin.f64 eps))) (tan.f64 eps)) eps)) #s(literal 1 binary64))) |
#s(approx (/ (pow (- eps (tan eps)) 2) (- (* (- eps (tan eps)) eps) (* (- eps (tan eps)) (sin eps)))) (+.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (tan.f64 eps) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (-.f64 (tan.f64 eps) (neg.f64 (sin.f64 eps))) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) (fma.f64 (-.f64 (fma.f64 (tan.f64 eps) #s(literal 2 binary64) (neg.f64 (sin.f64 eps))) (tan.f64 eps)) (-.f64 (tan.f64 eps) (neg.f64 (sin.f64 eps))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (cos.f64 eps)))) eps) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (/.f64 (-.f64 (fma.f64 (tan.f64 eps) #s(literal 2 binary64) (neg.f64 (sin.f64 eps))) (tan.f64 eps)) (*.f64 (cos.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))))) (fma.f64 (-.f64 (fma.f64 (tan.f64 eps) #s(literal 2 binary64) (neg.f64 (sin.f64 eps))) (tan.f64 eps)) (-.f64 (tan.f64 eps) (neg.f64 (sin.f64 eps))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (cos.f64 eps)))) eps))) (neg.f64 (sin.f64 eps))) (tan.f64 eps)) eps)) #s(literal 1 binary64))) |
#s(approx (pow (- eps (tan eps)) 2) (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (tan.f64 eps) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) eps)))) eps)) #s(literal 1 binary64)) (*.f64 eps eps))) |
Compiled 9 457 to 2 928 computations (69% saved)
10 alts after pruning (1 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 519 | 1 | 520 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 1 | 7 | 8 |
| Total | 522 | 10 | 532 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 1.9% | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| ✓ | 1.6% | (/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) eps) eps #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) (-.f64 eps (tan.f64 eps))) |
| ✓ | 1.7% | (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 eps (tan.f64 eps)) eps) (*.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))))) |
| ✓ | 1.7% | (*.f64 (-.f64 (*.f64 (-.f64 eps (tan.f64 eps)) eps) (*.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))) |
| ✓ | 99.6% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| ✓ | 99.8% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))) |
| ✓ | 99.4% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
| 53.8% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) eps) eps) #s(approx (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) (+.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/34300 binary64) #s(literal -1/588 binary64)) (*.f64 eps eps) #s(literal 19/21 binary64)) (/.f64 #s(literal -20/9 binary64) (*.f64 eps eps)))))) | |
| ✓ | 54.0% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #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)))) |
| ✓ | 99.0% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
Compiled 400 to 277 computations (30.8% saved)
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #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 (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) eps) eps) #s(approx (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) (+.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/34300 binary64) #s(literal -1/588 binary64)) (*.f64 eps eps) #s(literal 19/21 binary64)) (/.f64 #s(literal -20/9 binary64) (*.f64 eps eps)))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (*.f64 #s(approx (- 1 (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/34300 binary64) (*.f64 eps eps) #s(literal -1/588 binary64)) (*.f64 eps eps) #s(literal 19/21 binary64)) (*.f64 eps eps) #s(literal -20/9 binary64)) (*.f64 eps eps))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ 1/2 (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/34300 binary64) (*.f64 eps eps) #s(literal 1/588 binary64)) (*.f64 eps eps) #s(literal 2/21 binary64)) (*.f64 eps eps) #s(literal 20/9 binary64)) (*.f64 eps eps)))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))) |
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) eps) eps #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) (-.f64 eps (tan.f64 eps))) |
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) (-.f64 eps (tan.f64 eps))) |
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
(*.f64 (-.f64 (*.f64 (-.f64 eps (tan.f64 eps)) eps) (*.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 eps (tan.f64 eps)) eps) (*.f64 (-.f64 eps (tan.f64 eps)) (sin.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)))) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))) |
2 calls:
| 4.0ms | eps |
| 3.0ms | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 99.8% | 1 | eps |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #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 (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
2 calls:
| 2.0ms | eps |
| 1.0ms | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 99.6% | 1 | eps |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #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)))) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
2 calls:
| 1.0ms | eps |
| 1.0ms | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 99.4% | 1 | eps |
Compiled 7 to 7 computations (0% 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:
| 2.0ms | eps |
| 1.0ms | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 1 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 99.0% | 1 | eps |
Compiled 7 to 7 computations (0% saved)
| 1× | fuel |
Compiled 41 to 22 computations (46.3% saved)
(abs eps)
Compiled 179 to 152 computations (15.1% saved)
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