
Time bar (total: 11.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 6 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 7 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 8 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 9 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 10 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 11 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 12 |
Compiled 17 to 12 computations (29.4% saved)
| 6.2s | 4 427× | 2 | valid |
| 2.1s | 1 424× | 3 | valid |
| 418.0ms | 2 350× | 1 | valid |
| 3.0ms | 55× | 0 | valid |
ival-tan: 5.3s (63.1% of total)ival-sin: 2.5s (29.5% of total)adjust: 370.0ms (4.4% of total)ival-sub!: 150.0ms (1.8% of total)ival-div!: 98.0ms (1.2% 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 | 28 |
| 1 | 60 | 27 |
| 2 | 235 | 27 |
| 3 | 712 | 27 |
| 4 | 4128 | 27 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 2.0% | (/.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 | 1367 | 666 |
| 0 | 8371 | 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 eps (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps)))) |
(/.f64 (-.f64 (*.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 eps (-.f64 eps (tan.f64 eps)))) (*.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))) (+.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) #s(literal 3 binary64))) (fma.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 eps (-.f64 eps (tan.f64 eps))) (fma.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) (*.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))))) |
(/.f64 (-.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 (-.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 (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 (neg.f64 (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 (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 (neg.f64 (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))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (neg.f64 (neg.f64 (cos.f64 eps)))) |
(/.f64 (+.f64 (tan.f64 eps) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 (PI.f64))))) |
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(tan.f64 (+.f64 (+.f64 eps (PI.f64)) (PI.f64))) |
(tan.f64 (+.f64 eps (PI.f64))) |
(tan.f64 eps) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (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 843 to 367 computations (56.5% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 66 | 7 | 73 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 66 | 8 | 74 |
| Status | Accuracy | Program |
|---|---|---|
| 1.8% | (/.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))))) (+.f64 eps (sin.f64 eps))) (-.f64 eps (tan.f64 eps))) | |
| ✓ | 2.0% | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| ▶ | 2.2% | (/.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))) |
| 2.0% | (/.f64 #s(approx (- eps (sin eps)) (neg.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) (-.f64 eps (tan.f64 eps))) | |
| ▶ | 99.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| ▶ | 99.8% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| ▶ | 99.3% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
| ▶ | 98.5% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
Compiled 202 to 190 computations (5.9% 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 | 2026 | 1937 |
| 0 | 9690 | 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 -1/8 binary64) (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 #s(literal 1/4 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 -1/2 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 (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 (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)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 81/1600 binary64) (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)))) (neg.f64 (-.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)))) |
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(*.f64 (*.f64 eps eps) eps) |
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(pow.f64 eps #s(literal 3 binary64)) |
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#s(approx (tan eps) (tan.f64 eps)) |
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#s(approx (- eps (sin eps)) (neg.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) |
#s(approx (* (+ (* (+ (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) -1/120) (* eps eps)) 1/6) (* (* eps eps) eps)) (neg.f64 (*.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 9 binary64))))) |
#s(approx (* (+ (* (+ (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) -1/120) (* eps eps)) 1/6) (* (* eps eps) eps)) (neg.f64 (*.f64 (+.f64 #s(literal 1/362880 binary64) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)))) (pow.f64 eps #s(literal 9 binary64))))) |
#s(approx (* (+ (* (+ (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) -1/120) (* eps eps)) 1/6) (* (* eps eps) eps)) (neg.f64 (*.f64 (-.f64 (+.f64 #s(literal 1/362880 binary64) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)))) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)))) (pow.f64 eps #s(literal 9 binary64))))) |
#s(approx (- eps (tan eps)) (neg.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) #s(literal 1 binary64)) eps))) |
Compiled 5 649 to 1 899 computations (66.4% saved)
9 alts after pruning (5 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 361 | 3 | 364 |
| Fresh | 0 | 2 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 363 | 9 | 372 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 1.8% | (/.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))))) (+.f64 eps (sin.f64 eps))) (-.f64 eps (tan.f64 eps))) |
| ✓ | 2.0% | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| ▶ | 2.2% | (/.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))) |
| ▶ | 2.0% | (/.f64 #s(approx (- eps (sin eps)) (neg.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) (-.f64 eps (tan.f64 eps))) |
| ✓ | 99.8% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| ▶ | 99.9% | #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))) |
| ✓ | 99.3% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
| ▶ | 52.0% | #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)))) |
| ✓ | 98.5% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
Compiled 209 to 200 computations (4.3% 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) |
(/.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 #s(approx (- eps (sin eps)) (neg.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) (-.f64 eps (tan.f64 eps))) |
#s(approx (- eps (sin eps)) (neg.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) |
(neg.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps)) |
(*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps) |
(-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) |
(/.f64 (sin.f64 eps) eps) |
(sin.f64 eps) |
#s(literal 1 binary64) |
(/.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))))) (+.f64 eps (sin.f64 eps))) (-.f64 eps (tan.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 eps eps) (-.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 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))) |
(cos.f64 (*.f64 #s(literal 2 binary64) eps)) |
(*.f64 #s(literal 2 binary64) eps) |
#s(literal 2 binary64) |
(+.f64 eps (sin.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 (- 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 (* (- (/ (sin eps) eps) 1) eps) #s(hole binary64 (* -1/6 (pow eps 3)))) |
#s(approx (* (- (/ (sin eps) eps) 1) eps) #s(hole binary64 (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)))) |
#s(approx (* (- (/ (sin eps) eps) 1) eps) #s(hole binary64 (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) |
#s(approx (* (- (/ (sin eps) eps) 1) eps) #s(hole binary64 (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6)))) |
#s(approx (- (/ (sin eps) eps) 1) #s(hole binary64 (* -1/6 (pow eps 2)))) |
#s(approx (- (/ (sin eps) eps) 1) #s(hole binary64 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))) |
#s(approx (- (/ (sin eps) eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) |
#s(approx (- (/ (sin eps) eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6)))) |
#s(approx (/ (sin eps) eps) #s(hole binary64 1)) |
#s(approx (/ (sin eps) eps) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2))))) |
#s(approx (/ (sin eps) eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))) |
#s(approx (/ (sin eps) eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) |
#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 eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) #s(hole binary64 (* 1/3 (pow eps 4)))) |
#s(approx (- (* eps eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) #s(hole binary64 (* (pow eps 4) (+ 1/3 (* -2/45 (pow eps 2)))))) |
#s(approx (- (* eps eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) #s(hole binary64 (* (pow eps 4) (+ 1/3 (* (pow eps 2) (- (* 1/315 (pow eps 2)) 2/45)))))) |
#s(approx (- (* eps eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) #s(hole binary64 (* (pow eps 4) (+ 1/3 (* (pow eps 2) (- (* (pow eps 2) (+ 1/315 (* -2/14175 (pow eps 2)))) 2/45)))))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 eps)))) #s(hole binary64 (* (pow eps 2) (+ 1 (* -1/3 (pow eps 2)))))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 eps)))) #s(hole binary64 (* (pow eps 2) (+ 1 (* (pow eps 2) (- (* 2/45 (pow eps 2)) 1/3)))))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 eps)))) #s(hole binary64 (* (pow eps 2) (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 2/45 (* -1/315 (pow eps 2)))) 1/3)))))) |
#s(approx (* 1/2 (cos (* 2 eps))) #s(hole binary64 1/2)) |
#s(approx (* 1/2 (cos (* 2 eps))) #s(hole binary64 (+ 1/2 (* -1 (pow eps 2))))) |
#s(approx (* 1/2 (cos (* 2 eps))) #s(hole binary64 (+ 1/2 (* (pow eps 2) (- (* 1/3 (pow eps 2)) 1))))) |
#s(approx (* 1/2 (cos (* 2 eps))) #s(hole binary64 (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3 (* -2/45 (pow eps 2)))) 1))))) |
#s(approx (cos (* 2 eps)) #s(hole binary64 (+ 1 (* -2 (pow eps 2))))) |
#s(approx (cos (* 2 eps)) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 2/3 (pow eps 2)) 2))))) |
#s(approx (cos (* 2 eps)) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 2/3 (* -4/45 (pow eps 2)))) 2))))) |
#s(approx (* 2 eps) #s(hole binary64 (* 2 eps))) |
#s(approx (+ eps (sin eps)) #s(hole binary64 (* eps (+ 2 (* -1/6 (pow eps 2)))))) |
#s(approx (+ eps (sin eps)) #s(hole binary64 (* eps (+ 2 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))))) |
#s(approx (+ eps (sin eps)) #s(hole binary64 (* eps (+ 2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))))) |
#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 (* 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 (- 9/40 (/ 1/2 (* eps eps))) #s(hole binary64 (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))) |
#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 (* (- (/ (sin eps) eps) 1) eps) #s(hole binary64 (* -1 eps))) |
#s(approx (* (- (/ (sin eps) eps) 1) eps) #s(hole binary64 (* eps (- (/ (sin eps) eps) 1)))) |
#s(approx (- (/ (sin eps) eps) 1) #s(hole binary64 -1)) |
#s(approx (- (/ (sin eps) eps) 1) #s(hole binary64 (- (/ (sin eps) eps) 1))) |
#s(approx (/ (sin eps) eps) #s(hole binary64 (/ (sin eps) eps))) |
#s(approx (sin eps) #s(hole binary64 (sin eps))) |
#s(approx (/ (/ (- (* eps eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) (+ eps (sin eps))) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps))))) |
#s(approx (/ (/ (- (* eps eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) (+ eps (sin eps))) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (+ (/ 1/2 (pow eps 2)) (/ (sin eps) eps)))))))) |
#s(approx (/ (/ (- (* eps eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) (+ eps (sin eps))) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ (+ (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (- (* 1/2 (cos (* 2 eps))) (+ 1/2 (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)))))) (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) (pow eps 3))) (* 1/2 (/ (cos (* 2 eps)) (pow eps 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (+ (/ 1/2 (pow eps 2)) (/ (sin eps) eps)))))))) |
#s(approx (/ (- (* eps eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) (+ eps (sin eps))) #s(hole binary64 (* eps (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ (/ 1/2 (pow eps 2)) (/ (sin eps) eps))))))) |
#s(approx (/ (- (* eps eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) (+ eps (sin eps))) #s(hole binary64 (* eps (- (+ 1 (+ (* -1 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) (+ 1/2 (* -1 (pow (sin eps) 2))))) (pow eps 3))) (* 1/2 (/ (cos (* 2 eps)) (pow eps 2))))) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ (/ 1/2 (pow eps 2)) (/ (sin eps) eps))))))) |
#s(approx (- (* eps eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) #s(hole binary64 (* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2))))))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 eps)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 eps)))))) |
#s(approx (* 1/2 (cos (* 2 eps))) #s(hole binary64 (* 1/2 (cos (* 2 eps))))) |
#s(approx (cos (* 2 eps)) #s(hole binary64 (cos (* 2 eps)))) |
#s(approx (+ eps (sin eps)) #s(hole binary64 (* eps (+ 1 (/ (sin eps) 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 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 (* (- (/ (sin eps) eps) 1) eps) #s(hole binary64 (* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps))))))) |
#s(approx (/ (/ (- (* eps eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) (+ eps (sin eps))) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (- (* 1/2 (cos (* 2 eps))) 1/2) eps)))) (+ (/ (pow (sin eps) 2) (* eps (cos eps))) (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) eps))) eps))))) |
#s(approx (/ (/ (- (* eps eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) (+ eps (sin eps))) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (- (* -1 (- (* 1/2 (cos (* 2 eps))) 1/2)) (+ (/ (pow (sin eps) 2) (cos eps)) (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)))) (* -1 (/ (+ (* -1 (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (- (* -1 (- (* 1/2 (cos (* 2 eps))) 1/2)) (+ (/ (pow (sin eps) 2) (cos eps)) (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2))))) (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) eps))) eps)))) eps))))) |
#s(approx (/ (- (* eps eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) (+ eps (sin eps))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (* -1 (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (sin eps) 2)) eps)) (sin eps)) eps)) 1))))) |
#s(approx (/ (- (* eps eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) (+ eps (sin eps))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (- (* 1/2 (cos (* 2 eps))) 1/2)) (* -1 (/ (* (sin eps) (- (* -1 (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (sin eps) 2))) eps))) (pow (sin eps) 2)) eps)) (sin eps)) eps)) 1))))) |
#s(approx (+ eps (sin eps)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (sin eps) eps)) 1))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 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))) (- 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 (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (neg (* (- (/ (sin eps) eps) 1) eps)) (* (- (/ (sin eps) eps) 1) eps) (- (/ (sin eps) eps) 1) (/ (sin eps) eps) (sin eps) 1 (/ (/ (- (* eps eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) (+ eps (sin eps))) (- eps (tan eps))) (/ (- (* eps eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) (+ eps (sin eps))) (- (* eps eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) (- 1/2 (* 1/2 (cos (* 2 eps)))) (* 1/2 (cos (* 2 eps))) (cos (* 2 eps)) (* 2 eps) 2 (+ eps (sin eps))) |
| 6.0ms | 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))) (- 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 (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (neg (* (- (/ (sin eps) eps) 1) eps)) (* (- (/ (sin eps) eps) 1) eps) (- (/ (sin eps) eps) 1) (/ (sin eps) eps) (sin eps) 1 (/ (/ (- (* eps eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) (+ eps (sin eps))) (- eps (tan eps))) (/ (- (* eps eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) (+ eps (sin eps))) (- (* eps eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) (- 1/2 (* 1/2 (cos (* 2 eps)))) (* 1/2 (cos (* 2 eps))) (cos (* 2 eps)) (* 2 eps) 2 (+ eps (sin eps))) |
| 4.0ms | 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))) (- 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 (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (neg (* (- (/ (sin eps) eps) 1) eps)) (* (- (/ (sin eps) eps) 1) eps) (- (/ (sin eps) eps) 1) (/ (sin eps) eps) (sin eps) 1 (/ (/ (- (* eps eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) (+ eps (sin eps))) (- eps (tan eps))) (/ (- (* eps eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) (+ eps (sin eps))) (- (* eps eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) (- 1/2 (* 1/2 (cos (* 2 eps)))) (* 1/2 (cos (* 2 eps))) (cos (* 2 eps)) (* 2 eps) 2 (+ eps (sin eps))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 646 | 4272 |
| 0 | 718 | 3773 |
| 1 | 4025 | 3765 |
| 0 | 9345 | 3644 |
| 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) |
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(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) |
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#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) |
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(/.f64 (sin.f64 eps) eps) |
(sin.f64 eps) |
#s(literal 1 binary64) |
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(cos.f64 (*.f64 #s(literal 2 binary64) eps)) |
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#s(literal 2 binary64) |
(+.f64 eps (sin.f64 eps)) |
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#s(approx (* eps eps) #s(hole binary64 (pow eps 2))) |
#s(approx eps #s(hole binary64 eps)) |
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#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)))) |
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#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))) |
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#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)))))))))) |
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#s(approx (* (- (/ (sin eps) eps) 1) eps) #s(hole binary64 (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) |
#s(approx (* (- (/ (sin eps) eps) 1) eps) #s(hole binary64 (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6)))) |
#s(approx (- (/ (sin eps) eps) 1) #s(hole binary64 (* -1/6 (pow eps 2)))) |
#s(approx (- (/ (sin eps) eps) 1) #s(hole binary64 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))) |
#s(approx (- (/ (sin eps) eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) |
#s(approx (- (/ (sin eps) eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6)))) |
#s(approx (/ (sin eps) eps) #s(hole binary64 1)) |
#s(approx (/ (sin eps) eps) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2))))) |
#s(approx (/ (sin eps) eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))) |
#s(approx (/ (sin eps) eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) |
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2)))))) |
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#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))))) |
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#s(approx (- (* eps eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) #s(hole binary64 (* (pow eps 4) (+ 1/3 (* -2/45 (pow eps 2)))))) |
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#s(approx (* 1/2 (cos (* 2 eps))) #s(hole binary64 1/2)) |
#s(approx (* 1/2 (cos (* 2 eps))) #s(hole binary64 (+ 1/2 (* -1 (pow eps 2))))) |
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#s(approx (* 1/2 (cos (* 2 eps))) #s(hole binary64 (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3 (* -2/45 (pow eps 2)))) 1))))) |
#s(approx (cos (* 2 eps)) #s(hole binary64 (+ 1 (* -2 (pow eps 2))))) |
#s(approx (cos (* 2 eps)) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 2/3 (pow eps 2)) 2))))) |
#s(approx (cos (* 2 eps)) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 2/3 (* -4/45 (pow eps 2)))) 2))))) |
#s(approx (* 2 eps) #s(hole binary64 (* 2 eps))) |
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#s(approx (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) #s(hole binary64 (* 27/112000 (pow eps 4)))) |
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#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))))))) |
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#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 (* (- (/ (sin eps) eps) 1) eps) #s(hole binary64 (* -1 eps))) |
#s(approx (* (- (/ (sin eps) eps) 1) eps) #s(hole binary64 (* eps (- (/ (sin eps) eps) 1)))) |
#s(approx (- (/ (sin eps) eps) 1) #s(hole binary64 -1)) |
#s(approx (- (/ (sin eps) eps) 1) #s(hole binary64 (- (/ (sin eps) eps) 1))) |
#s(approx (/ (sin eps) eps) #s(hole binary64 (/ (sin eps) eps))) |
#s(approx (sin eps) #s(hole binary64 (sin eps))) |
#s(approx (/ (/ (- (* eps eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) (+ eps (sin eps))) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps))))) |
#s(approx (/ (/ (- (* eps eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) (+ eps (sin eps))) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (+ (/ 1/2 (pow eps 2)) (/ (sin eps) eps)))))))) |
#s(approx (/ (/ (- (* eps eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) (+ eps (sin eps))) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ (+ (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (- (* 1/2 (cos (* 2 eps))) (+ 1/2 (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)))))) (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) (pow eps 3))) (* 1/2 (/ (cos (* 2 eps)) (pow eps 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (+ (/ 1/2 (pow eps 2)) (/ (sin eps) eps)))))))) |
#s(approx (/ (- (* eps eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) (+ eps (sin eps))) #s(hole binary64 (* eps (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ (/ 1/2 (pow eps 2)) (/ (sin eps) eps))))))) |
#s(approx (/ (- (* eps eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) (+ eps (sin eps))) #s(hole binary64 (* eps (- (+ 1 (+ (* -1 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) (+ 1/2 (* -1 (pow (sin eps) 2))))) (pow eps 3))) (* 1/2 (/ (cos (* 2 eps)) (pow eps 2))))) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ (/ 1/2 (pow eps 2)) (/ (sin eps) eps))))))) |
#s(approx (- (* eps eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) #s(hole binary64 (* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2))))))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 eps)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 eps)))))) |
#s(approx (* 1/2 (cos (* 2 eps))) #s(hole binary64 (* 1/2 (cos (* 2 eps))))) |
#s(approx (cos (* 2 eps)) #s(hole binary64 (cos (* 2 eps)))) |
#s(approx (+ eps (sin eps)) #s(hole binary64 (* eps (+ 1 (/ (sin eps) 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 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 (* (- (/ (sin eps) eps) 1) eps) #s(hole binary64 (* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps))))))) |
#s(approx (/ (/ (- (* eps eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) (+ eps (sin eps))) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (- (* 1/2 (cos (* 2 eps))) 1/2) eps)))) (+ (/ (pow (sin eps) 2) (* eps (cos eps))) (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) eps))) eps))))) |
#s(approx (/ (/ (- (* eps eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) (+ eps (sin eps))) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (- (* -1 (- (* 1/2 (cos (* 2 eps))) 1/2)) (+ (/ (pow (sin eps) 2) (cos eps)) (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)))) (* -1 (/ (+ (* -1 (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (- (* -1 (- (* 1/2 (cos (* 2 eps))) 1/2)) (+ (/ (pow (sin eps) 2) (cos eps)) (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2))))) (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) eps))) eps)))) eps))))) |
#s(approx (/ (- (* eps eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) (+ eps (sin eps))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (* -1 (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (sin eps) 2)) eps)) (sin eps)) eps)) 1))))) |
#s(approx (/ (- (* eps eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) (+ eps (sin eps))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (- (* 1/2 (cos (* 2 eps))) 1/2)) (* -1 (/ (* (sin eps) (- (* -1 (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (sin eps) 2))) eps))) (pow (sin eps) 2)) eps)) (sin eps)) eps)) 1))))) |
#s(approx (+ eps (sin eps)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (sin eps) eps)) 1))))) |
| Outputs |
|---|
#s(approx (/ (/ (- (* eps eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) (+ 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 (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)) |
(fma.f64 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) #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 (*.f64 (fma.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 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) |
(*.f64 eps (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64))) |
(fma.f64 #s(literal 9/40 binary64) eps (*.f64 eps (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) eps) eps))) |
(fma.f64 #s(literal 9/40 binary64) eps (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) eps) eps) eps)) |
(fma.f64 eps #s(literal 9/40 binary64) (*.f64 eps (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) eps) eps))) |
(fma.f64 eps #s(literal 9/40 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) eps) eps) eps)) |
(+.f64 (*.f64 #s(literal 9/40 binary64) eps) (*.f64 eps (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) eps) eps))) |
(+.f64 (*.f64 #s(literal 9/40 binary64) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) eps) 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 (+ (* (* eps eps) 27/112000) -27/2800) #s(literal -27/2800 binary64)) |
#s(approx (+ (* (* eps eps) 27/112000) -27/2800) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) |
#s(approx (* eps eps) (*.f64 eps eps)) |
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#s(approx (* 1/2 (cos (* 2 eps))) #s(literal 1/2 binary64)) |
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#s(approx (* 2 eps) (+.f64 eps eps)) |
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#s(approx (+ (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps)) #s(literal 27/112000 binary64))) |
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#s(approx (* (+ (* (* (+ (* (+ (* (* eps eps) -1/362880) 1/5040) (* eps eps)) -1/120) eps) eps) 1/6) (* (* eps eps) eps)) (*.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 eps #s(literal -6 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps))) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (pow.f64 eps #s(literal 9 binary64)))) |
#s(approx (+ (* (* (+ (* (+ (* (* eps eps) -1/362880) 1/5040) (* eps eps)) -1/120) eps) eps) 1/6) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps)) #s(literal -1/362880 binary64))) |
#s(approx (+ (* (* (+ (* (+ (* (* eps eps) -1/362880) 1/5040) (* eps eps)) -1/120) eps) eps) 1/6) (*.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/362880 binary64)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps)))) |
#s(approx (+ (* (* (+ (* (+ (* (* eps eps) -1/362880) 1/5040) (* eps eps)) -1/120) eps) eps) 1/6) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps)))) |
#s(approx (+ (* (* (+ (* (+ (* (* eps eps) -1/362880) 1/5040) (* eps eps)) -1/120) eps) eps) 1/6) (*.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 eps #s(literal -6 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps))) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps)))) |
#s(approx (* (+ (* (+ (* (* eps eps) -1/362880) 1/5040) (* eps eps)) -1/120) eps) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal -1/362880 binary64))) |
#s(approx (* (+ (* (+ (* (* eps eps) -1/362880) 1/5040) (* eps eps)) -1/120) eps) (*.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/362880 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (* (+ (* (+ (* (* eps eps) -1/362880) 1/5040) (* eps eps)) -1/120) eps) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (+ (* (+ (* (* eps eps) -1/362880) 1/5040) (* eps eps)) -1/120) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal -1/362880 binary64))) |
#s(approx (+ (* (+ (* (* eps eps) -1/362880) 1/5040) (* eps eps)) -1/120) (*.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/362880 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (+ (* (+ (* (* eps eps) -1/362880) 1/5040) (* eps eps)) -1/120) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (+ (* (* eps eps) -1/362880) 1/5040) (*.f64 (*.f64 eps eps) #s(literal -1/362880 binary64))) |
#s(approx (+ (* (* eps eps) -1/362880) 1/5040) (*.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/362880 binary64)) (*.f64 eps eps))) |
#s(approx (- eps (tan eps)) (*.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps))) #s(literal 1 binary64)) eps)) |
#s(approx (tan eps) (tan.f64 eps)) |
#s(approx (* (- (/ (sin eps) eps) 1) eps) (neg.f64 eps)) |
#s(approx (* (- (/ (sin eps) eps) 1) eps) (*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps)) |
#s(approx (- (/ (sin eps) eps) 1) #s(literal -1 binary64)) |
#s(approx (- (/ (sin eps) eps) 1) (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64))) |
#s(approx (/ (sin eps) eps) (/.f64 (sin.f64 eps) eps)) |
#s(approx (sin eps) (sin.f64 eps)) |
#s(approx (/ (/ (- (* eps eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) (+ 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 eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) (+ eps (sin eps))) (- eps (tan eps))) (-.f64 (-.f64 (fma.f64 (/.f64 (cos.f64 (+.f64 eps eps)) (*.f64 eps eps)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (/.f64 (sin.f64 eps) eps)) (/.f64 (neg.f64 (pow.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) #s(literal 2 binary64))) (*.f64 eps eps))) (/.f64 (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (cos.f64 eps) (*.f64 eps eps)))))) |
#s(approx (/ (/ (- (* eps eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) (+ eps (sin eps))) (- eps (tan eps))) (-.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (cos.f64 (+.f64 eps eps)) (*.f64 eps eps)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) (cos.f64 eps)) (*.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (+.f64 (neg.f64 (pow.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) #s(literal 2 binary64))) (/.f64 (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (cos.f64 eps)))) (-.f64 (sin.f64 eps) (tan.f64 eps)))) (*.f64 (*.f64 eps eps) eps)))) #s(literal 1 binary64)) (neg.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (/.f64 (sin.f64 eps) eps)) (/.f64 (neg.f64 (pow.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) #s(literal 2 binary64))) (*.f64 eps eps))) (/.f64 (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (cos.f64 eps) (*.f64 eps eps)))))) |
#s(approx (/ (- (* eps eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) (+ eps (sin eps))) (*.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (cos.f64 (+.f64 eps eps)) (*.f64 eps eps)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 eps eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (/.f64 (sin.f64 eps) eps))) eps)) |
#s(approx (/ (- (* eps eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) (+ eps (sin eps))) (*.f64 (-.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (cos.f64 (+.f64 eps eps)) (*.f64 eps eps)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (sin.f64 eps)) (*.f64 (*.f64 eps eps) eps)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 eps eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (/.f64 (sin.f64 eps) eps))) eps)) |
#s(approx (- (* eps eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) (*.f64 (-.f64 (fma.f64 (/.f64 (cos.f64 (+.f64 eps eps)) (*.f64 eps eps)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) (*.f64 eps eps))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 eps)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)))) |
#s(approx (* 1/2 (cos (* 2 eps))) (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) |
#s(approx (cos (* 2 eps)) (cos.f64 (+.f64 eps eps))) |
#s(approx (+ eps (sin eps)) (*.f64 (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps)) |
#s(approx (/ (/ (- (* eps eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) (+ 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 eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) (+ 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 eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) (+ 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 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) 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 eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) (+ eps (sin eps))) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)))) |
#s(approx (* (+ (* (* (+ (* (+ (* (* eps eps) -1/362880) 1/5040) (* eps eps)) -1/120) eps) eps) 1/6) (* (* eps eps) eps)) (neg.f64 (*.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 9 binary64))))) |
#s(approx (* (+ (* (* (+ (* (+ (* (* eps eps) -1/362880) 1/5040) (* eps eps)) -1/120) eps) eps) 1/6) (* (* eps eps) eps)) (neg.f64 (*.f64 (+.f64 #s(literal 1/362880 binary64) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)))) (pow.f64 eps #s(literal 9 binary64))))) |
#s(approx (* (+ (* (* (+ (* (+ (* (* eps eps) -1/362880) 1/5040) (* eps eps)) -1/120) eps) eps) 1/6) (* (* eps eps) eps)) (neg.f64 (*.f64 (-.f64 (+.f64 #s(literal 1/362880 binary64) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)))) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps)))) (pow.f64 eps #s(literal 9 binary64))))) |
#s(approx (* (+ (* (+ (* (* eps eps) -1/362880) 1/5040) (* eps eps)) -1/120) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 5 binary64))))) |
#s(approx (* (+ (* (+ (* (* eps eps) -1/362880) 1/5040) (* eps eps)) -1/120) eps) (neg.f64 (*.f64 (+.f64 #s(literal 1/362880 binary64) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)))) (pow.f64 eps #s(literal 5 binary64))))) |
#s(approx (- eps (tan eps)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) #s(literal 1 binary64)))) |
#s(approx (* (- (/ (sin eps) eps) 1) eps) (*.f64 (neg.f64 eps) (+.f64 (neg.f64 (/.f64 (sin.f64 eps) eps)) #s(literal 1 binary64)))) |
#s(approx (/ (/ (- (* eps eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) (+ eps (sin eps))) (- eps (tan eps))) (+.f64 (neg.f64 (/.f64 (-.f64 (-.f64 (+.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) eps)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) (*.f64 (cos.f64 eps) eps))) (/.f64 (pow.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) #s(literal 2 binary64)) eps)) eps)) #s(literal 1 binary64))) |
#s(approx (/ (/ (- (* eps eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) (+ eps (sin eps))) (- eps (tan eps))) (+.f64 (neg.f64 (/.f64 (+.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) (cos.f64 eps)) (neg.f64 (*.f64 (-.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) (cos.f64 eps))) (pow.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) #s(literal 2 binary64))) (-.f64 (sin.f64 eps) (tan.f64 eps))))) eps)) (neg.f64 (-.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) (cos.f64 eps))) (pow.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) #s(literal 2 binary64))))) eps))) eps)) #s(literal 1 binary64))) |
#s(approx (/ (- (* eps eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) (+ eps (sin eps))) (*.f64 (neg.f64 eps) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) eps)) (sin.f64 eps)) eps)) #s(literal 1 binary64)))) |
#s(approx (/ (- (* eps eps) (- 1/2 (* 1/2 (cos (* 2 eps))))) (+ eps (sin eps))) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (*.f64 (sin.f64 eps) (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) eps))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)))) (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) eps)) (sin.f64 eps)) eps)) #s(literal 1 binary64)) eps))) |
#s(approx (+ eps (sin eps)) (*.f64 (neg.f64 eps) (-.f64 (neg.f64 (/.f64 (sin.f64 eps) eps)) #s(literal 1 binary64)))) |
Compiled 6 905 to 2 691 computations (61% saved)
10 alts after pruning (3 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 510 | 3 | 513 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 512 | 10 | 522 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 1.8% | (/.f64 (/.f64 (+.f64 (*.f64 eps eps) (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (+.f64 eps (sin.f64 eps))) (-.f64 eps (tan.f64 eps))) |
| ✓ | 2.0% | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| ✓ | 2.2% | (/.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))) |
| ✓ | 2.0% | (/.f64 #s(approx (- eps (sin eps)) (neg.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) (-.f64 eps (tan.f64 eps))) |
| ✓ | 99.8% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| ✓ | 99.9% | #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))) |
| ✓ | 99.3% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
| ▶ | 51.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (+ (* (* eps eps) 9/40) -1/2) (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) eps) eps)) (*.f64 eps eps)))) |
| ▶ | 53.3% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (+ (* (* eps eps) 9/40) -1/2) (*.f64 (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) eps))) |
| ✓ | 98.5% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
Compiled 143 to 139 computations (2.8% saved)
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (+ (* (* eps eps) 9/40) -1/2) (*.f64 (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) eps))) |
#s(approx (+ (* (* eps eps) 9/40) -1/2) (*.f64 (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) eps)) |
(*.f64 (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) eps) |
(*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) |
(-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) |
#s(literal 9/40 binary64) |
(/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) |
#s(literal 1/2 binary64) |
(*.f64 eps eps) |
eps |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (+ (* (* eps eps) 9/40) -1/2) (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) eps) eps)) (*.f64 eps eps)))) |
#s(approx (+ (* (* eps eps) 9/40) -1/2) (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) eps) eps)) (*.f64 eps eps))) |
(*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) eps) eps)) (*.f64 eps eps)) |
(-.f64 #s(literal 9/40 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) eps) eps)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) eps) eps) |
(/.f64 #s(literal 1/2 binary64) eps) |
(/.f64 (/.f64 (+.f64 (*.f64 eps eps) (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (+.f64 eps (sin.f64 eps))) (-.f64 eps (tan.f64 eps))) |
(/.f64 (+.f64 (*.f64 eps eps) (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (+.f64 eps (sin.f64 eps))) |
(+.f64 (*.f64 eps eps) (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
(fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) |
(cos.f64 (+.f64 eps eps)) |
(+.f64 eps eps) |
#s(literal -1/2 binary64) |
(+.f64 eps (sin.f64 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 (* (- 9/40 (/ 1/2 (* eps eps))) eps) #s(hole binary64 (/ -1/2 eps))) |
#s(approx (* (- 9/40 (/ 1/2 (* eps eps))) eps) #s(hole binary64 (/ (- (* 9/40 (pow eps 2)) 1/2) 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 (* eps eps) #s(hole binary64 (pow eps 2))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (/ 1/2 eps) #s(hole binary64 (/ 1/2 eps))) |
#s(approx (/ (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) (+ eps (sin eps))) #s(hole binary64 (* 1/6 (pow eps 3)))) |
#s(approx (/ (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) (+ eps (sin eps))) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))))) |
#s(approx (/ (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) (+ eps (sin eps))) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))))) |
#s(approx (/ (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) (+ 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) (+ (* (cos (+ eps eps)) 1/2) -1/2)) #s(hole binary64 (* 1/3 (pow eps 4)))) |
#s(approx (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) #s(hole binary64 (* (pow eps 4) (+ 1/3 (* -2/45 (pow eps 2)))))) |
#s(approx (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) #s(hole binary64 (* (pow eps 4) (+ 1/3 (* (pow eps 2) (- (* 1/315 (pow eps 2)) 2/45)))))) |
#s(approx (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) #s(hole binary64 (* (pow eps 4) (+ 1/3 (* (pow eps 2) (- (* (pow eps 2) (+ 1/315 (* -2/14175 (pow eps 2)))) 2/45)))))) |
#s(approx (+ (* (cos (+ eps eps)) 1/2) -1/2) #s(hole binary64 (* -1 (pow eps 2)))) |
#s(approx (+ (* (cos (+ eps eps)) 1/2) -1/2) #s(hole binary64 (* (pow eps 2) (- (* 1/3 (pow eps 2)) 1)))) |
#s(approx (+ (* (cos (+ eps eps)) 1/2) -1/2) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3 (* -2/45 (pow eps 2)))) 1)))) |
#s(approx (+ (* (cos (+ eps eps)) 1/2) -1/2) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3 (* (pow eps 2) (- (* 1/315 (pow eps 2)) 2/45)))) 1)))) |
#s(approx (cos (+ eps eps)) #s(hole binary64 1)) |
#s(approx (cos (+ eps eps)) #s(hole binary64 (+ 1 (* -2 (pow eps 2))))) |
#s(approx (cos (+ eps eps)) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 2/3 (pow eps 2)) 2))))) |
#s(approx (cos (+ eps eps)) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 2/3 (* -4/45 (pow eps 2)))) 2))))) |
#s(approx (+ eps eps) #s(hole binary64 (* 2 eps))) |
#s(approx (+ eps (sin eps)) #s(hole binary64 (* eps (+ 2 (* -1/6 (pow eps 2)))))) |
#s(approx (+ eps (sin eps)) #s(hole binary64 (* eps (+ 2 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))))) |
#s(approx (+ eps (sin eps)) #s(hole binary64 (* eps (+ 2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))))) |
#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 (* -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) 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 (* (- 9/40 (/ 1/2 (* eps eps))) eps) #s(hole binary64 (* 9/40 eps))) |
#s(approx (* (- 9/40 (/ 1/2 (* eps eps))) eps) #s(hole binary64 (* eps (- 9/40 (* 1/2 (/ 1 (pow eps 2))))))) |
#s(approx (- 9/40 (/ 1/2 (* eps eps))) #s(hole binary64 9/40)) |
#s(approx (- 9/40 (/ 1/2 (* eps eps))) #s(hole binary64 (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))) |
#s(approx (/ (/ (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) (+ eps (sin eps))) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps))))) |
#s(approx (/ (/ (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) (+ eps (sin eps))) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (+ (/ 1/2 (pow eps 2)) (/ (sin eps) eps)))))))) |
#s(approx (/ (/ (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) (+ eps (sin eps))) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ (+ (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (- (* 1/2 (cos (* 2 eps))) (+ 1/2 (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)))))) (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) (pow eps 3))) (* 1/2 (/ (cos (* 2 eps)) (pow eps 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (+ (/ 1/2 (pow eps 2)) (/ (sin eps) eps)))))))) |
#s(approx (/ (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) (+ eps (sin eps))) #s(hole binary64 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))) |
#s(approx (/ (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) (+ eps (sin eps))) #s(hole binary64 (* eps (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ (/ 1/2 (pow eps 2)) (/ (sin eps) eps))))))) |
#s(approx (/ (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) (+ eps (sin eps))) #s(hole binary64 (* eps (- (+ 1 (+ (* -1 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) (+ 1/2 (* -1 (pow (sin eps) 2))))) (pow eps 3))) (* 1/2 (/ (cos (* 2 eps)) (pow eps 2))))) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ (/ 1/2 (pow eps 2)) (/ (sin eps) eps))))))) |
#s(approx (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) #s(hole binary64 (* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2))))))) |
#s(approx (+ (* (cos (+ eps eps)) 1/2) -1/2) #s(hole binary64 (- (* 1/2 (cos (* 2 eps))) 1/2))) |
#s(approx (cos (+ eps eps)) #s(hole binary64 (cos (* 2 eps)))) |
#s(approx (+ eps (sin eps)) #s(hole binary64 (* eps (+ 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 (* (- 9/40 (/ 1/2 (* eps eps))) eps) #s(hole binary64 (* -1 (* eps (- (* 1/2 (/ 1 (pow eps 2))) 9/40))))) |
#s(approx (/ (/ (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) (+ eps (sin eps))) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (- (* 1/2 (cos (neg (* -2 eps)))) 1/2) eps)))) (+ (/ (pow (sin eps) 2) (* eps (cos eps))) (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) eps))) eps))))) |
#s(approx (/ (/ (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) (+ eps (sin eps))) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (- (* -1 (- (* 1/2 (cos (neg (* -2 eps)))) 1/2)) (+ (/ (pow (sin eps) 2) (cos eps)) (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)))) (* -1 (/ (+ (* -1 (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (- (* -1 (- (* 1/2 (cos (neg (* -2 eps)))) 1/2)) (+ (/ (pow (sin eps) 2) (cos eps)) (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2))))) (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) eps))) eps)))) eps))))) |
#s(approx (/ (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) (+ eps (sin eps))) #s(hole binary64 (* -1 (* eps (- (/ (sin eps) eps) 1))))) |
#s(approx (/ (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) (+ eps (sin eps))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (* -1 (- (* 1/2 (cos (neg (* -2 eps)))) 1/2)) (pow (sin eps) 2)) eps)) (sin eps)) eps)) 1))))) |
#s(approx (/ (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) (+ eps (sin eps))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (- (* 1/2 (cos (neg (* -2 eps)))) 1/2)) (* -1 (/ (* (sin eps) (- (* -1 (- (* 1/2 (cos (neg (* -2 eps)))) 1/2)) (pow (sin eps) 2))) eps))) (pow (sin eps) 2)) eps)) (sin eps)) eps)) 1))))) |
#s(approx (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) #s(hole binary64 (* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (neg (* -2 eps))) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2))))))) |
#s(approx (+ (* (cos (+ eps eps)) 1/2) -1/2) #s(hole binary64 (- (* 1/2 (cos (neg (* -2 eps)))) 1/2))) |
#s(approx (cos (+ eps eps)) #s(hole binary64 (cos (neg (* -2 eps))))) |
#s(approx (+ eps (sin eps)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (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 | |
|---|---|---|---|---|
| 4.0ms | eps | @ | -inf | ((/ (- 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))) eps) (- 9/40 (/ 1/2 (* eps eps))) 9/40 (/ 1/2 (* eps eps)) 1/2 (* eps eps) eps (/ (- 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) (/ (/ (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) (+ eps (sin eps))) (- eps (tan eps))) (/ (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) (+ eps (sin eps))) (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) (+ (* (cos (+ eps eps)) 1/2) -1/2) (cos (+ eps eps)) (+ eps eps) -1/2 (+ eps (sin eps)) (sin eps) (- eps (tan eps)) (tan eps)) |
| 2.0ms | eps | @ | inf | ((/ (- 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))) eps) (- 9/40 (/ 1/2 (* eps eps))) 9/40 (/ 1/2 (* eps eps)) 1/2 (* eps eps) eps (/ (- 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) (/ (/ (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) (+ eps (sin eps))) (- eps (tan eps))) (/ (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) (+ eps (sin eps))) (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) (+ (* (cos (+ eps eps)) 1/2) -1/2) (cos (+ eps eps)) (+ eps eps) -1/2 (+ eps (sin eps)) (sin eps) (- eps (tan eps)) (tan eps)) |
| 2.0ms | eps | @ | 0 | ((/ (- 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))) eps) (- 9/40 (/ 1/2 (* eps eps))) 9/40 (/ 1/2 (* eps eps)) 1/2 (* eps eps) eps (/ (- 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) (/ (/ (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) (+ eps (sin eps))) (- eps (tan eps))) (/ (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) (+ eps (sin eps))) (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) (+ (* (cos (+ eps eps)) 1/2) -1/2) (cos (+ eps eps)) (+ eps eps) -1/2 (+ eps (sin eps)) (sin eps) (- eps (tan eps)) (tan eps)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 467 | 2461 |
| 0 | 500 | 2276 |
| 1 | 3230 | 2186 |
| 0 | 8764 | 2084 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (+ (* (* eps eps) 9/40) -1/2) (*.f64 (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) eps))) |
#s(approx (+ (* (* eps eps) 9/40) -1/2) (*.f64 (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) eps)) |
(*.f64 (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) eps) |
(*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) |
(-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) |
#s(literal 9/40 binary64) |
(/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) |
#s(literal 1/2 binary64) |
(*.f64 eps eps) |
eps |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (+ (* (* eps eps) 9/40) -1/2) (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) eps) eps)) (*.f64 eps eps)))) |
#s(approx (+ (* (* eps eps) 9/40) -1/2) (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) eps) eps)) (*.f64 eps eps))) |
(*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) eps) eps)) (*.f64 eps eps)) |
(-.f64 #s(literal 9/40 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) eps) eps)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) eps) eps) |
(/.f64 #s(literal 1/2 binary64) eps) |
(/.f64 (/.f64 (+.f64 (*.f64 eps eps) (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (+.f64 eps (sin.f64 eps))) (-.f64 eps (tan.f64 eps))) |
(/.f64 (+.f64 (*.f64 eps eps) (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (+.f64 eps (sin.f64 eps))) |
(+.f64 (*.f64 eps eps) (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
(fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) |
(cos.f64 (+.f64 eps eps)) |
(+.f64 eps eps) |
#s(literal -1/2 binary64) |
(+.f64 eps (sin.f64 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 (* (- 9/40 (/ 1/2 (* eps eps))) eps) #s(hole binary64 (/ -1/2 eps))) |
#s(approx (* (- 9/40 (/ 1/2 (* eps eps))) eps) #s(hole binary64 (/ (- (* 9/40 (pow eps 2)) 1/2) 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 (* eps eps) #s(hole binary64 (pow eps 2))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (/ 1/2 eps) #s(hole binary64 (/ 1/2 eps))) |
#s(approx (/ (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) (+ eps (sin eps))) #s(hole binary64 (* 1/6 (pow eps 3)))) |
#s(approx (/ (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) (+ eps (sin eps))) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))))) |
#s(approx (/ (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) (+ eps (sin eps))) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))))) |
#s(approx (/ (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) (+ 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) (+ (* (cos (+ eps eps)) 1/2) -1/2)) #s(hole binary64 (* 1/3 (pow eps 4)))) |
#s(approx (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) #s(hole binary64 (* (pow eps 4) (+ 1/3 (* -2/45 (pow eps 2)))))) |
#s(approx (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) #s(hole binary64 (* (pow eps 4) (+ 1/3 (* (pow eps 2) (- (* 1/315 (pow eps 2)) 2/45)))))) |
#s(approx (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) #s(hole binary64 (* (pow eps 4) (+ 1/3 (* (pow eps 2) (- (* (pow eps 2) (+ 1/315 (* -2/14175 (pow eps 2)))) 2/45)))))) |
#s(approx (+ (* (cos (+ eps eps)) 1/2) -1/2) #s(hole binary64 (* -1 (pow eps 2)))) |
#s(approx (+ (* (cos (+ eps eps)) 1/2) -1/2) #s(hole binary64 (* (pow eps 2) (- (* 1/3 (pow eps 2)) 1)))) |
#s(approx (+ (* (cos (+ eps eps)) 1/2) -1/2) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3 (* -2/45 (pow eps 2)))) 1)))) |
#s(approx (+ (* (cos (+ eps eps)) 1/2) -1/2) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3 (* (pow eps 2) (- (* 1/315 (pow eps 2)) 2/45)))) 1)))) |
#s(approx (cos (+ eps eps)) #s(hole binary64 1)) |
#s(approx (cos (+ eps eps)) #s(hole binary64 (+ 1 (* -2 (pow eps 2))))) |
#s(approx (cos (+ eps eps)) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 2/3 (pow eps 2)) 2))))) |
#s(approx (cos (+ eps eps)) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 2/3 (* -4/45 (pow eps 2)))) 2))))) |
#s(approx (+ eps eps) #s(hole binary64 (* 2 eps))) |
#s(approx (+ eps (sin eps)) #s(hole binary64 (* eps (+ 2 (* -1/6 (pow eps 2)))))) |
#s(approx (+ eps (sin eps)) #s(hole binary64 (* eps (+ 2 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))))) |
#s(approx (+ eps (sin eps)) #s(hole binary64 (* eps (+ 2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))))) |
#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 (* -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) 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 (* (- 9/40 (/ 1/2 (* eps eps))) eps) #s(hole binary64 (* 9/40 eps))) |
#s(approx (* (- 9/40 (/ 1/2 (* eps eps))) eps) #s(hole binary64 (* eps (- 9/40 (* 1/2 (/ 1 (pow eps 2))))))) |
#s(approx (- 9/40 (/ 1/2 (* eps eps))) #s(hole binary64 9/40)) |
#s(approx (- 9/40 (/ 1/2 (* eps eps))) #s(hole binary64 (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))) |
#s(approx (/ (/ (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) (+ eps (sin eps))) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps))))) |
#s(approx (/ (/ (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) (+ eps (sin eps))) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (+ (/ 1/2 (pow eps 2)) (/ (sin eps) eps)))))))) |
#s(approx (/ (/ (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) (+ eps (sin eps))) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ (+ (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (- (* 1/2 (cos (* 2 eps))) (+ 1/2 (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)))))) (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) (pow eps 3))) (* 1/2 (/ (cos (* 2 eps)) (pow eps 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (+ (/ 1/2 (pow eps 2)) (/ (sin eps) eps)))))))) |
#s(approx (/ (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) (+ eps (sin eps))) #s(hole binary64 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))) |
#s(approx (/ (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) (+ eps (sin eps))) #s(hole binary64 (* eps (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ (/ 1/2 (pow eps 2)) (/ (sin eps) eps))))))) |
#s(approx (/ (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) (+ eps (sin eps))) #s(hole binary64 (* eps (- (+ 1 (+ (* -1 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) (+ 1/2 (* -1 (pow (sin eps) 2))))) (pow eps 3))) (* 1/2 (/ (cos (* 2 eps)) (pow eps 2))))) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ (/ 1/2 (pow eps 2)) (/ (sin eps) eps))))))) |
#s(approx (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) #s(hole binary64 (* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2))))))) |
#s(approx (+ (* (cos (+ eps eps)) 1/2) -1/2) #s(hole binary64 (- (* 1/2 (cos (* 2 eps))) 1/2))) |
#s(approx (cos (+ eps eps)) #s(hole binary64 (cos (* 2 eps)))) |
#s(approx (+ eps (sin eps)) #s(hole binary64 (* eps (+ 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 (* (- 9/40 (/ 1/2 (* eps eps))) eps) #s(hole binary64 (* -1 (* eps (- (* 1/2 (/ 1 (pow eps 2))) 9/40))))) |
#s(approx (/ (/ (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) (+ eps (sin eps))) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (- (* 1/2 (cos (neg (* -2 eps)))) 1/2) eps)))) (+ (/ (pow (sin eps) 2) (* eps (cos eps))) (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) eps))) eps))))) |
#s(approx (/ (/ (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) (+ eps (sin eps))) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (- (* -1 (- (* 1/2 (cos (neg (* -2 eps)))) 1/2)) (+ (/ (pow (sin eps) 2) (cos eps)) (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)))) (* -1 (/ (+ (* -1 (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (- (* -1 (- (* 1/2 (cos (neg (* -2 eps)))) 1/2)) (+ (/ (pow (sin eps) 2) (cos eps)) (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2))))) (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) eps))) eps)))) eps))))) |
#s(approx (/ (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) (+ eps (sin eps))) #s(hole binary64 (* -1 (* eps (- (/ (sin eps) eps) 1))))) |
#s(approx (/ (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) (+ eps (sin eps))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (* -1 (- (* 1/2 (cos (neg (* -2 eps)))) 1/2)) (pow (sin eps) 2)) eps)) (sin eps)) eps)) 1))))) |
#s(approx (/ (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) (+ eps (sin eps))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (- (* 1/2 (cos (neg (* -2 eps)))) 1/2)) (* -1 (/ (* (sin eps) (- (* -1 (- (* 1/2 (cos (neg (* -2 eps)))) 1/2)) (pow (sin eps) 2))) eps))) (pow (sin eps) 2)) eps)) (sin eps)) eps)) 1))))) |
#s(approx (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) #s(hole binary64 (* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (neg (* -2 eps))) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2))))))) |
#s(approx (+ (* (cos (+ eps eps)) 1/2) -1/2) #s(hole binary64 (- (* 1/2 (cos (neg (* -2 eps)))) 1/2))) |
#s(approx (cos (+ eps eps)) #s(hole binary64 (cos (neg (* -2 eps))))) |
#s(approx (+ eps (sin eps)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (sin eps) eps)) 1))))) |
#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))) #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 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) eps) |
(*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) (*.f64 eps eps)) |
(*.f64 (*.f64 eps eps) (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))) |
(*.f64 eps (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps)) |
(*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) |
(*.f64 eps (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 81/1600 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))) (neg.f64 (+.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 729/64000 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps))))) (neg.f64 (+.f64 #s(literal 81/1600 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (*.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))))) |
(/.f64 (-.f64 #s(literal 81/1600 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (+.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))) |
(/.f64 (-.f64 #s(literal 729/64000 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps)))) (+.f64 #s(literal 81/1600 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (*.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))) |
(neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) #s(literal 9/40 binary64))) |
(-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) |
(+.f64 #s(literal 9/40 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))) |
(+.f64 #s(literal 9/40 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))) |
#s(literal 9/40 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1 binary64) eps)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) eps))) (neg.f64 (neg.f64 eps))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) eps) eps) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (*.f64 eps eps)))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 eps) eps)) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 eps eps))) |
#s(literal 1/2 binary64) |
(*.f64 (fabs.f64 (fabs.f64 eps)) (fabs.f64 (fabs.f64 eps))) |
(*.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps))) |
(*.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps))) |
(*.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 eps))) |
(*.f64 (fabs.f64 eps) (fabs.f64 eps)) |
(*.f64 (neg.f64 eps) (neg.f64 eps)) |
(*.f64 eps eps) |
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 eps) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 eps) #s(literal 2 binary64)) |
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64)) |
(pow.f64 eps #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))) |
(fabs.f64 (*.f64 eps eps)) |
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))) |
eps |
#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 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) eps) |
(*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) (*.f64 eps eps)) |
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#s(approx (/ (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) (+ eps (sin eps))) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) eps)) (sin.f64 eps)) eps)) #s(literal 1 binary64)) eps))) |
#s(approx (/ (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) (+ eps (sin eps))) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (*.f64 (sin.f64 eps) (/.f64 (+.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) eps))) (neg.f64 (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) eps)) (sin.f64 eps)) eps)) #s(literal 1 binary64)) eps))) |
#s(approx (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) (*.f64 (-.f64 (fma.f64 (/.f64 (cos.f64 (+.f64 eps eps)) (*.f64 eps eps)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) (*.f64 eps eps))) |
#s(approx (+ (* (cos (+ eps eps)) 1/2) -1/2) (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
#s(approx (cos (+ eps eps)) (cos.f64 (+.f64 eps eps))) |
#s(approx (+ eps (sin eps)) (neg.f64 (*.f64 (-.f64 (neg.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 2 860 to 1 332 computations (53.4% saved)
11 alts after pruning (1 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 235 | 1 | 236 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 7 | 7 |
| Total | 235 | 11 | 246 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 1.8% | (/.f64 (/.f64 (+.f64 (*.f64 eps eps) (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (+.f64 eps (sin.f64 eps))) (-.f64 eps (tan.f64 eps))) |
| ✓ | 2.0% | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| ✓ | 2.2% | (/.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))) |
| ✓ | 2.0% | (/.f64 #s(approx (- eps (sin eps)) (neg.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) (-.f64 eps (tan.f64 eps))) |
| ✓ | 99.8% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| ✓ | 99.9% | #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))) |
| ✓ | 99.3% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
| ✓ | 51.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (+ (* (* eps eps) 9/40) -1/2) (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) eps) eps)) (*.f64 eps eps)))) |
| ✓ | 53.3% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (+ (* (* eps eps) 9/40) -1/2) (*.f64 (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) eps))) |
| 99.1% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (+ (* (* eps eps) 9/40) -1/2) (*.f64 #s(approx (* (- 9/40 (/ 1/2 (* eps eps))) eps) (/.f64 (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) eps)) eps))) | |
| ✓ | 98.5% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
Compiled 319 to 264 computations (17.2% 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 #s(approx (* (- 9/40 (/ 1/2 (* eps eps))) eps) (/.f64 (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) eps)) eps))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (+ (* (* eps eps) 9/40) -1/2) (*.f64 (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) eps))) |
#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))) #s(approx (+ (* (* eps eps) 9/40) -1/2) (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) 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))) |
(/.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 #s(approx (- eps (sin eps)) (neg.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) (-.f64 eps (tan.f64 eps))) |
(/.f64 (/.f64 (+.f64 (*.f64 eps eps) (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (+.f64 eps (sin.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))))) (+.f64 eps (sin.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 |
|---|---|---|
| 99.9% | 1 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 99.9% | 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 #s(approx (* (- 9/40 (/ 1/2 (* eps eps))) eps) (/.f64 (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) eps)) eps))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (+ (* (* eps eps) 9/40) -1/2) (*.f64 (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) eps))) |
#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))) #s(approx (+ (* (* eps eps) 9/40) -1/2) (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) 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 |
| 2.0ms | (/.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 #s(approx (* (- 9/40 (/ 1/2 (* eps eps))) eps) (/.f64 (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) eps)) eps))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (+ (* (* eps eps) 9/40) -1/2) (*.f64 (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) eps))) |
#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))) #s(approx (+ (* (* eps eps) 9/40) -1/2) (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) 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:
| 2.0ms | eps |
| 2.0ms | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 99.3% | 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:
| 1.0ms | eps |
| 1.0ms | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 98.5% | 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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