
Time bar (total: 10.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 6 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 7 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 8 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 9 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 10 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 11 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 12 |
Compiled 17 to 12 computations (29.4% saved)
| 5.8s | 4 465× | 2 | valid |
| 1.6s | 1 386× | 3 | valid |
| 1.1s | 2 349× | 1 | valid |
| 3.0ms | 56× | 0 | valid |
ival-tan: 4.2s (51.9% of total)ival-sin: 3.0s (37.2% of total)adjust: 504.0ms (6.2% of total)ival-div!: 232.0ms (2.8% of total)ival-sub!: 150.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-and: 0.0ms (0% of total)ival-<=: 0.0ms (0% of total)Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 36 |
| 1 | 38 | 36 |
| 2 | 112 | 34 |
| 3 | 390 | 32 |
| 4 | 2120 | 32 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 1.6% | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
Compiled 18 to 12 computations (33.3% saved)
| Inputs |
|---|
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
(-.f64 eps (sin.f64 eps)) |
eps |
(sin.f64 eps) |
(-.f64 eps (tan.f64 eps)) |
(tan.f64 eps) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 -1/2)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2))) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* 1/6 (pow eps 3)))) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))))) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))))) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (sin eps) #s(hole binary64 (* eps (+ 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 | 1199 | 666 |
| 0 | 8126 | 645 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
(-.f64 eps (sin.f64 eps)) |
eps |
(sin.f64 eps) |
(-.f64 eps (tan.f64 eps)) |
(tan.f64 eps) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 -1/2)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2))) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* 1/6 (pow eps 3)))) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))))) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))))) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2)))))) |
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))))) |
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* -1/3 (pow eps 3)))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)))) |
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2)))))) |
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))))) |
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 1)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps))))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))))) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))) |
#s(approx (sin eps) #s(hole binary64 (sin eps))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))) |
#s(approx (tan eps) #s(hole binary64 (/ (sin eps) (cos eps)))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps))))) |
#s(approx (- eps (sin eps)) #s(hole binary64 (* -1 (* eps (- (/ (sin eps) eps) 1))))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))))) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (/.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 (neg.f64 (neg.f64 (-.f64 eps (sin.f64 eps)))) (neg.f64 (neg.f64 (-.f64 eps (tan.f64 eps))))) |
(/.f64 (neg.f64 (-.f64 eps (sin.f64 eps))) (neg.f64 (-.f64 eps (tan.f64 eps)))) |
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
(-.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))))) (neg.f64 (+.f64 eps (sin.f64 eps)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps eps (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 eps (sin.f64 eps)))))) |
(/.f64 (-.f64 (*.f64 eps eps) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) (+.f64 eps (sin.f64 eps))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (fma.f64 eps eps (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 eps (sin.f64 eps))))) |
(-.f64 (/.f64 (*.f64 eps eps) (+.f64 eps (sin.f64 eps))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 eps (sin.f64 eps)))) |
(-.f64 (/.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 eps eps (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 eps (sin.f64 eps))))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 eps eps (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 eps (sin.f64 eps)))))) |
(-.f64 eps (sin.f64 eps)) |
eps |
(*.f64 (pow.f64 (sin.f64 eps) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 1/2 binary64))) |
(pow.f64 (sin.f64 eps) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 eps) #s(literal -1 binary64))) |
(sin.f64 eps) |
(exp.f64 (*.f64 (log.f64 (sin.f64 eps)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (neg.f64 (+.f64 eps (tan.f64 eps)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps eps (+.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps (tan.f64 eps)))))) |
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 eps (tan.f64 eps))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (fma.f64 eps eps (+.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps (tan.f64 eps))))) |
(-.f64 (/.f64 (*.f64 eps eps) (+.f64 eps (tan.f64 eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps)))) |
(-.f64 (/.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 eps eps (+.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps (tan.f64 eps))))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 eps eps (+.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps (tan.f64 eps)))))) |
(-.f64 eps (tan.f64 eps)) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (neg.f64 (neg.f64 (cos.f64 eps)))) |
(/.f64 (+.f64 (tan.f64 eps) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 (PI.f64))))) |
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(tan.f64 (+.f64 (+.f64 eps (PI.f64)) (PI.f64))) |
(tan.f64 (+.f64 eps (PI.f64))) |
(tan.f64 eps) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64))) |
#s(approx (- eps (sin eps)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 1/6 binary64))) |
#s(approx (- eps (sin eps)) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) |
#s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) |
#s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) |
#s(approx eps eps) |
#s(approx (sin eps) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)) eps)) |
#s(approx (sin eps) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) |
#s(approx (sin eps) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 eps eps) #s(literal 1/120 binary64)) (*.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) |
#s(approx (- eps (tan eps)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 eps eps) eps))) |
#s(approx (- eps (tan eps)) (*.f64 (-.f64 (*.f64 #s(literal -2/15 binary64) (*.f64 eps eps)) #s(literal 1/3 binary64)) (*.f64 (*.f64 eps eps) eps))) |
#s(approx (- eps (tan eps)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -17/315 binary64) (*.f64 eps eps)) #s(literal 2/15 binary64)) (*.f64 eps eps)) #s(literal 1/3 binary64)) (*.f64 (*.f64 eps eps) eps))) |
#s(approx (- eps (tan eps)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -62/2835 binary64) (*.f64 eps eps)) #s(literal 17/315 binary64)) (*.f64 eps eps)) #s(literal 2/15 binary64)) (*.f64 eps eps)) #s(literal 1/3 binary64)) (*.f64 (*.f64 eps eps) eps))) |
#s(approx (tan eps) (*.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 1 425 to 341 computations (76.1% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 55 | 5 | 60 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 56 | 5 | 61 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 2.1% | (/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) (-.f64 eps (tan.f64 eps))) |
| ▶ | 99.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64))) |
| ▶ | 99.7% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64))) |
| ▶ | 99.5% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) |
| ▶ | 99.0% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
Compiled 222 to 138 computations (37.8% saved)
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) |
(fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) |
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) |
#s(literal 27/112000 binary64) |
(*.f64 eps eps) |
eps |
#s(literal 27/2800 binary64) |
#s(literal 9/40 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) |
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) |
#s(literal -27/2800 binary64) |
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) (-.f64 eps (tan.f64 eps))) |
#s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps)) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) |
(*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) |
(fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) |
#s(literal -1/362880 binary64) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
(*.f64 (*.f64 eps eps) eps) |
(-.f64 eps (tan.f64 eps)) |
(tan.f64 eps) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 -1/2)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2))) |
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* 9/40 (pow eps 2)))) |
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))))) |
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))))) |
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 9/40)) |
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (+ 9/40 (* -27/2800 (pow eps 2))))) |
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))) |
#s(approx (- (* 27/112000 (* eps eps)) 27/2800) #s(hole binary64 -27/2800)) |
#s(approx (- (* 27/112000 (* eps eps)) 27/2800) #s(hole binary64 (- (* 27/112000 (pow eps 2)) 27/2800))) |
#s(approx (* 27/112000 (* eps eps)) #s(hole binary64 (* 27/112000 (pow eps 2)))) |
#s(approx (* eps eps) #s(hole binary64 (pow eps 2))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (- eps (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) (* eps eps)) #s(hole binary64 (* 1/5040 (pow eps 2)))) |
#s(approx (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))))) |
#s(approx (+ (* -1/362880 (* eps eps)) 1/5040) #s(hole binary64 1/5040)) |
#s(approx (+ (* -1/362880 (* eps eps)) 1/5040) #s(hole binary64 (+ 1/5040 (* -1/362880 (pow eps 2))))) |
#s(approx (* (* eps eps) eps) #s(hole binary64 (pow eps 3))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* -1/3 (pow eps 3)))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)))) |
#s(approx (tan eps) #s(hole binary64 (* eps (+ 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 (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (- (* (* eps eps) 9/40) 1/2) #s(hole binary64 (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))))) |
#s(approx (- (* (+ (* -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 | |
|---|---|---|---|---|
| 5.0ms | eps | @ | inf | ((/ (- eps (sin eps)) (- eps (tan eps))) (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (- (* 27/112000 (* eps eps)) 27/2800) (* 27/112000 (* eps eps)) 27/112000 (* eps eps) eps 27/2800 9/40 1/2 (/ (- eps (sin eps)) (- eps (tan eps))) -1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (* eps eps) 9/40) 1/2) (* (* eps eps) 9/40) (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) (+ (* -27/2800 (* eps eps)) 9/40) -27/2800 (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (* (* eps eps) eps)) (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) (+ (* -1/362880 (* eps eps)) 1/5040) -1/362880 1/5040 1/120 1/6 (* (* eps eps) eps) (- eps (tan eps)) (tan eps)) |
| 4.0ms | eps | @ | -inf | ((/ (- eps (sin eps)) (- eps (tan eps))) (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (- (* 27/112000 (* eps eps)) 27/2800) (* 27/112000 (* eps eps)) 27/112000 (* eps eps) eps 27/2800 9/40 1/2 (/ (- eps (sin eps)) (- eps (tan eps))) -1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (* eps eps) 9/40) 1/2) (* (* eps eps) 9/40) (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) (+ (* -27/2800 (* eps eps)) 9/40) -27/2800 (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (* (* eps eps) eps)) (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) (+ (* -1/362880 (* eps eps)) 1/5040) -1/362880 1/5040 1/120 1/6 (* (* eps eps) eps) (- eps (tan eps)) (tan eps)) |
| 2.0ms | eps | @ | 0 | ((/ (- eps (sin eps)) (- eps (tan eps))) (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (- (* 27/112000 (* eps eps)) 27/2800) (* 27/112000 (* eps eps)) 27/112000 (* eps eps) eps 27/2800 9/40 1/2 (/ (- eps (sin eps)) (- eps (tan eps))) -1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (* eps eps) 9/40) 1/2) (* (* eps eps) 9/40) (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) (+ (* -27/2800 (* eps eps)) 9/40) -27/2800 (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (* (* eps eps) eps)) (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) (+ (* -1/362880 (* eps eps)) 1/5040) -1/362880 1/5040 1/120 1/6 (* (* eps eps) eps) (- eps (tan eps)) (tan eps)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 341 | 2328 |
| 0 | 387 | 2184 |
| 1 | 1799 | 2157 |
| 0 | 8520 | 2138 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) |
(fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) |
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) |
#s(literal 27/112000 binary64) |
(*.f64 eps eps) |
eps |
#s(literal 27/2800 binary64) |
#s(literal 9/40 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) |
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) |
#s(literal -27/2800 binary64) |
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) (-.f64 eps (tan.f64 eps))) |
#s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps)) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) |
(*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) |
(fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) |
#s(literal -1/362880 binary64) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
(*.f64 (*.f64 eps eps) eps) |
(-.f64 eps (tan.f64 eps)) |
(tan.f64 eps) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 -1/2)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2))) |
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* 9/40 (pow eps 2)))) |
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))))) |
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))))) |
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 9/40)) |
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (+ 9/40 (* -27/2800 (pow eps 2))))) |
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))) |
#s(approx (- (* 27/112000 (* eps eps)) 27/2800) #s(hole binary64 -27/2800)) |
#s(approx (- (* 27/112000 (* eps eps)) 27/2800) #s(hole binary64 (- (* 27/112000 (pow eps 2)) 27/2800))) |
#s(approx (* 27/112000 (* eps eps)) #s(hole binary64 (* 27/112000 (pow eps 2)))) |
#s(approx (* eps eps) #s(hole binary64 (pow eps 2))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (- eps (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) (* eps eps)) #s(hole binary64 (* 1/5040 (pow eps 2)))) |
#s(approx (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))))) |
#s(approx (+ (* -1/362880 (* eps eps)) 1/5040) #s(hole binary64 1/5040)) |
#s(approx (+ (* -1/362880 (* eps eps)) 1/5040) #s(hole binary64 (+ 1/5040 (* -1/362880 (pow eps 2))))) |
#s(approx (* (* eps eps) eps) #s(hole binary64 (pow eps 3))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* -1/3 (pow eps 3)))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)))) |
#s(approx (tan eps) #s(hole binary64 (* eps (+ 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 (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (- (* (* eps eps) 9/40) 1/2) #s(hole binary64 (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))))) |
#s(approx (- (* (+ (* -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))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (fma.f64 (-.f64 (*.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 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) |
(*.f64 (*.f64 eps eps) (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) #s(literal 729/64000 binary64) (pow.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps))) (*.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps)))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) #s(literal 729/64000 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps))) (*.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps)))))) |
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps))) |
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps))) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps))) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps))) |
(fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps))) |
(fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps))) |
(+.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps))) |
(+.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps))) |
(/.f64 (-.f64 #s(literal 729/64000 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 eps eps)) (-.f64 (*.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)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64))) (*.f64 (neg.f64 (*.f64 eps eps)) (-.f64 (*.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)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 81/1600 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.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 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.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 (-.f64 (*.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 729/64000 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 81/1600 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.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) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.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))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.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 (-.f64 (*.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 81/1600 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.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) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.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)) (-.f64 (*.f64 (*.f64 (-.f64 (*.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 (*.f64 (-.f64 (*.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 (-.f64 (*.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) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) #s(literal 9/40 binary64))))) |
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps #s(literal 9/40 binary64)) |
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#s(approx (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (* (* eps eps) eps)) (neg.f64 (*.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 9 binary64))))) |
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (* (* eps eps) eps)) (neg.f64 (*.f64 (+.f64 #s(literal 1/362880 binary64) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)))) (pow.f64 eps #s(literal 9 binary64))))) |
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (* (* eps eps) eps)) (neg.f64 (*.f64 (-.f64 (+.f64 #s(literal 1/362880 binary64) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)))) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)))) (pow.f64 eps #s(literal 9 binary64))))) |
#s(approx (- eps (tan eps)) (neg.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) #s(literal 1 binary64)) eps))) |
Compiled 14 125 to 1 866 computations (86.8% saved)
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 319 | 6 | 325 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 321 | 9 | 330 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 1.1% | (/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 (exp.f64 (log.f64 eps)) #s(literal 3 binary64)))) (-.f64 eps (tan.f64 eps))) |
| 2.4% | (/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) (/.f64 (-.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)))))) | |
| ▶ | 1.0% | (/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (exp.f64 (*.f64 (log.f64 eps) #s(literal 3 binary64))))) (-.f64 eps (tan.f64 eps))) |
| ▶ | 2.1% | (/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) (-.f64 eps (tan.f64 eps))) |
| ✓ | 99.7% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64))) |
| ▶ | 99.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 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))) |
| ✓ | 99.5% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) |
| ▶ | 54.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (- (* (* eps eps) 9/40) 1/2) (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) (*.f64 eps eps)))) |
| ✓ | 99.0% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
Compiled 466 to 284 computations (39.1% saved)
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.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 (-.f64 (*.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 (fma.f64 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) |
(*.f64 (*.f64 eps eps) #s(literal 27/112000 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)) |
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) 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 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) |
(*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps)) |
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64)) |
(*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) |
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) eps) eps) |
(*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) eps) |
(fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) |
#s(literal -1/362880 binary64) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
(*.f64 (*.f64 eps eps) eps) |
(-.f64 eps (tan.f64 eps)) |
(tan.f64 eps) |
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (exp.f64 (*.f64 (log.f64 eps) #s(literal 3 binary64))))) (-.f64 eps (tan.f64 eps))) |
#s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (exp.f64 (*.f64 (log.f64 eps) #s(literal 3 binary64))))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (exp.f64 (*.f64 (log.f64 eps) #s(literal 3 binary64)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) |
(*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) |
(exp.f64 (*.f64 (log.f64 eps) #s(literal 3 binary64))) |
(*.f64 (log.f64 eps) #s(literal 3 binary64)) |
(log.f64 eps) |
#s(literal 3 binary64) |
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 (exp.f64 (log.f64 eps)) #s(literal 3 binary64)))) (-.f64 eps (tan.f64 eps))) |
#s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 (exp.f64 (log.f64 eps)) #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 (exp.f64 (log.f64 eps)) #s(literal 3 binary64))) |
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 3 binary64)) |
(exp.f64 (log.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) eps) #s(hole binary64 (* 9/40 (pow eps 2)))) |
#s(approx (* (* (+ (* (- (* (* eps eps) 27/112000) 27/2800) (* eps eps)) 9/40) eps) eps) #s(hole binary64 (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))))) |
#s(approx (* (* (+ (* (- (* (* eps eps) 27/112000) 27/2800) (* eps eps)) 9/40) eps) eps) #s(hole binary64 (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))))) |
#s(approx (* (+ (* (- (* (* eps eps) 27/112000) 27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* 9/40 eps))) |
#s(approx (* (+ (* (- (* (* eps eps) 27/112000) 27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* eps (+ 9/40 (* -27/2800 (pow eps 2)))))) |
#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) 27/112000) #s(hole binary64 (* 27/112000 (pow eps 2)))) |
#s(approx (* eps eps) #s(hole binary64 (pow eps 2))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (- 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 (+ (* (* (- (* (* (+ (* -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) eps) #s(hole binary64 (* -1/120 eps))) |
#s(approx (* (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) eps) #s(hole binary64 (* eps (- (* 1/5040 (pow eps 2)) 1/120)))) |
#s(approx (* (- (* (* (+ (* -1/362880 (* eps eps)) 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 (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) #s(hole binary64 -1/120)) |
#s(approx (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) #s(hole binary64 (- (* 1/5040 (pow eps 2)) 1/120))) |
#s(approx (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) #s(hole binary64 (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))) |
#s(approx (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) #s(hole binary64 (* 1/5040 (pow eps 2)))) |
#s(approx (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) #s(hole binary64 (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))))) |
#s(approx (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) #s(hole binary64 (* 1/5040 eps))) |
#s(approx (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) #s(hole binary64 (* eps (+ 1/5040 (* -1/362880 (pow eps 2)))))) |
#s(approx (+ (* -1/362880 (* eps eps)) 1/5040) #s(hole binary64 1/5040)) |
#s(approx (+ (* -1/362880 (* eps eps)) 1/5040) #s(hole binary64 (+ 1/5040 (* -1/362880 (pow eps 2))))) |
#s(approx (* (* eps eps) eps) #s(hole binary64 (pow eps 3))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* -1/3 (pow eps 3)))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)))) |
#s(approx (tan eps) #s(hole binary64 (* eps (+ 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 (* (log eps) 3) #s(hole binary64 (* 3 (log eps)))) |
#s(approx (log eps) #s(hole binary64 (log eps))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 1)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps))))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))))) |
#s(approx (- (* (* (+ (* (- (* (* eps eps) 27/112000) 27/2800) (* eps eps)) 9/40) eps) eps) 1/2) #s(hole binary64 (* 27/112000 (pow eps 6)))) |
#s(approx (- (* (* (+ (* (- (* (* eps eps) 27/112000) 27/2800) (* eps eps)) 9/40) eps) eps) 1/2) #s(hole binary64 (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (- (* (* (+ (* (- (* (* eps eps) 27/112000) 27/2800) (* eps eps)) 9/40) eps) eps) 1/2) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (- (* (* (+ (* (- (* (* eps eps) 27/112000) 27/2800) (* eps eps)) 9/40) eps) eps) 1/2) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))))) |
#s(approx (* (+ (* (- (* (* eps eps) 27/112000) 27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* 27/112000 (pow eps 5)))) |
#s(approx (* (+ (* (- (* (* eps eps) 27/112000) 27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* (pow eps 5) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (* (+ (* (- (* (* eps eps) 27/112000) 27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (+ (* (- (* (* eps eps) 27/112000) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (* 27/112000 (pow eps 4)))) |
#s(approx (+ (* (- (* (* eps eps) 27/112000) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (+ (* (- (* (* eps eps) 27/112000) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (- (* (* eps eps) 27/112000) 27/2800) #s(hole binary64 (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (- (* (* eps eps) 9/40) 1/2) #s(hole binary64 (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))))) |
#s(approx (- 9/40 (/ 1/2 (* eps eps))) #s(hole binary64 (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))) |
#s(approx (- 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) eps) #s(hole binary64 (* -1/362880 (pow eps 5)))) |
#s(approx (* (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) eps) #s(hole binary64 (* (pow eps 5) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))) |
#s(approx (* (- (* (* (+ (* -1/362880 (* eps eps)) 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 (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) #s(hole binary64 (* -1/362880 (pow eps 4)))) |
#s(approx (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) #s(hole binary64 (* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))) |
#s(approx (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) #s(hole binary64 (* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4))))))) |
#s(approx (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) #s(hole binary64 (* -1/362880 (pow eps 3)))) |
#s(approx (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) #s(hole binary64 (* (pow eps 3) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))) |
#s(approx (+ (* -1/362880 (* eps eps)) 1/5040) #s(hole binary64 (* -1/362880 (pow eps 2)))) |
#s(approx (+ (* -1/362880 (* eps eps)) 1/5040) #s(hole binary64 (* (pow eps 2) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))) |
#s(approx (tan eps) #s(hole binary64 (/ (sin eps) (cos eps)))) |
#s(approx (* (log eps) 3) #s(hole binary64 (* -3 (log (/ 1 eps))))) |
#s(approx (log eps) #s(hole binary64 (* -1 (log (/ 1 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 (* (+ (* (* (- (* (* (+ (* -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 (* (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2)))))))) |
#s(approx (* (- (* (* (+ (* -1/362880 (* eps eps)) 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 (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2)))))))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 91.0ms | 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 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) 27/112000) (* 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)) (/ (- 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) eps) (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) (+ (* -1/362880 (* eps eps)) 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)) (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (exp (* (log eps) 3))) (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) (exp (* (log eps) 3)) (* (log eps) 3) (log eps) 3 (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (pow (exp (log eps)) 3)) (pow (exp (log eps)) 3) (exp (log eps))) |
| 10.0ms | 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 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) 27/112000) (* 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)) (/ (- 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) eps) (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) (+ (* -1/362880 (* eps eps)) 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)) (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (exp (* (log eps) 3))) (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) (exp (* (log eps) 3)) (* (log eps) 3) (log eps) 3 (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (pow (exp (log eps)) 3)) (pow (exp (log eps)) 3) (exp (log eps))) |
| 10.0ms | 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 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) 27/112000) (* 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)) (/ (- 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) eps) (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) (+ (* -1/362880 (* eps eps)) 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)) (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (exp (* (log eps) 3))) (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) (exp (* (log eps) 3)) (* (log eps) 3) (log eps) 3 (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (pow (exp (log eps)) 3)) (pow (exp (log eps)) 3) (exp (log eps))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 413 | 3086 |
| 0 | 482 | 2898 |
| 1 | 1951 | 2871 |
| 0 | 8719 | 2848 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 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 (-.f64 (*.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 (fma.f64 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) |
(*.f64 (*.f64 eps eps) #s(literal 27/112000 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)) |
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) 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 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) |
(*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps)) |
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64)) |
(*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) |
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) eps) eps) |
(*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) eps) |
(fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) |
#s(literal -1/362880 binary64) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
(*.f64 (*.f64 eps eps) eps) |
(-.f64 eps (tan.f64 eps)) |
(tan.f64 eps) |
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (exp.f64 (*.f64 (log.f64 eps) #s(literal 3 binary64))))) (-.f64 eps (tan.f64 eps))) |
#s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (exp.f64 (*.f64 (log.f64 eps) #s(literal 3 binary64))))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (exp.f64 (*.f64 (log.f64 eps) #s(literal 3 binary64)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) |
(*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) |
(exp.f64 (*.f64 (log.f64 eps) #s(literal 3 binary64))) |
(*.f64 (log.f64 eps) #s(literal 3 binary64)) |
(log.f64 eps) |
#s(literal 3 binary64) |
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 (exp.f64 (log.f64 eps)) #s(literal 3 binary64)))) (-.f64 eps (tan.f64 eps))) |
#s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 (exp.f64 (log.f64 eps)) #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 (exp.f64 (log.f64 eps)) #s(literal 3 binary64))) |
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 3 binary64)) |
(exp.f64 (log.f64 eps)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 -1/2)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2))) |
#s(approx (* (* (+ (* (- (* (* eps eps) 27/112000) 27/2800) (* eps eps)) 9/40) eps) eps) #s(hole binary64 (* 9/40 (pow eps 2)))) |
#s(approx (* (* (+ (* (- (* (* eps eps) 27/112000) 27/2800) (* eps eps)) 9/40) eps) eps) #s(hole binary64 (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))))) |
#s(approx (* (* (+ (* (- (* (* eps eps) 27/112000) 27/2800) (* eps eps)) 9/40) eps) eps) #s(hole binary64 (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))))) |
#s(approx (* (+ (* (- (* (* eps eps) 27/112000) 27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* 9/40 eps))) |
#s(approx (* (+ (* (- (* (* eps eps) 27/112000) 27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* eps (+ 9/40 (* -27/2800 (pow eps 2)))))) |
#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) 27/112000) #s(hole binary64 (* 27/112000 (pow eps 2)))) |
#s(approx (* eps eps) #s(hole binary64 (pow eps 2))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (- 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 (+ (* (* (- (* (* (+ (* -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) eps) #s(hole binary64 (* -1/120 eps))) |
#s(approx (* (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) eps) #s(hole binary64 (* eps (- (* 1/5040 (pow eps 2)) 1/120)))) |
#s(approx (* (- (* (* (+ (* -1/362880 (* eps eps)) 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 (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) #s(hole binary64 -1/120)) |
#s(approx (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) #s(hole binary64 (- (* 1/5040 (pow eps 2)) 1/120))) |
#s(approx (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) #s(hole binary64 (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))) |
#s(approx (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) #s(hole binary64 (* 1/5040 (pow eps 2)))) |
#s(approx (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) #s(hole binary64 (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))))) |
#s(approx (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) #s(hole binary64 (* 1/5040 eps))) |
#s(approx (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) #s(hole binary64 (* eps (+ 1/5040 (* -1/362880 (pow eps 2)))))) |
#s(approx (+ (* -1/362880 (* eps eps)) 1/5040) #s(hole binary64 1/5040)) |
#s(approx (+ (* -1/362880 (* eps eps)) 1/5040) #s(hole binary64 (+ 1/5040 (* -1/362880 (pow eps 2))))) |
#s(approx (* (* eps eps) eps) #s(hole binary64 (pow eps 3))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* -1/3 (pow eps 3)))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)))) |
#s(approx (tan eps) #s(hole binary64 (* eps (+ 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 (* (log eps) 3) #s(hole binary64 (* 3 (log eps)))) |
#s(approx (log eps) #s(hole binary64 (log eps))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 1)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps))))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))))) |
#s(approx (- (* (* (+ (* (- (* (* eps eps) 27/112000) 27/2800) (* eps eps)) 9/40) eps) eps) 1/2) #s(hole binary64 (* 27/112000 (pow eps 6)))) |
#s(approx (- (* (* (+ (* (- (* (* eps eps) 27/112000) 27/2800) (* eps eps)) 9/40) eps) eps) 1/2) #s(hole binary64 (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (- (* (* (+ (* (- (* (* eps eps) 27/112000) 27/2800) (* eps eps)) 9/40) eps) eps) 1/2) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (- (* (* (+ (* (- (* (* eps eps) 27/112000) 27/2800) (* eps eps)) 9/40) eps) eps) 1/2) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))))) |
#s(approx (* (+ (* (- (* (* eps eps) 27/112000) 27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* 27/112000 (pow eps 5)))) |
#s(approx (* (+ (* (- (* (* eps eps) 27/112000) 27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* (pow eps 5) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (* (+ (* (- (* (* eps eps) 27/112000) 27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (+ (* (- (* (* eps eps) 27/112000) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (* 27/112000 (pow eps 4)))) |
#s(approx (+ (* (- (* (* eps eps) 27/112000) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (+ (* (- (* (* eps eps) 27/112000) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (- (* (* eps eps) 27/112000) 27/2800) #s(hole binary64 (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))))) |
#s(approx (- (* (* eps eps) 9/40) 1/2) #s(hole binary64 (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))))) |
#s(approx (- 9/40 (/ 1/2 (* eps eps))) #s(hole binary64 (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))) |
#s(approx (- 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) eps) #s(hole binary64 (* -1/362880 (pow eps 5)))) |
#s(approx (* (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) eps) #s(hole binary64 (* (pow eps 5) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))) |
#s(approx (* (- (* (* (+ (* -1/362880 (* eps eps)) 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 (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) #s(hole binary64 (* -1/362880 (pow eps 4)))) |
#s(approx (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) #s(hole binary64 (* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))) |
#s(approx (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) #s(hole binary64 (* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4))))))) |
#s(approx (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) #s(hole binary64 (* -1/362880 (pow eps 3)))) |
#s(approx (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) #s(hole binary64 (* (pow eps 3) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))) |
#s(approx (+ (* -1/362880 (* eps eps)) 1/5040) #s(hole binary64 (* -1/362880 (pow eps 2)))) |
#s(approx (+ (* -1/362880 (* eps eps)) 1/5040) #s(hole binary64 (* (pow eps 2) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))) |
#s(approx (tan eps) #s(hole binary64 (/ (sin eps) (cos eps)))) |
#s(approx (* (log eps) 3) #s(hole binary64 (* -3 (log (/ 1 eps))))) |
#s(approx (log eps) #s(hole binary64 (* -1 (log (/ 1 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 (* (+ (* (* (- (* (* (+ (* -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 (* (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2)))))))) |
#s(approx (* (- (* (* (+ (* -1/362880 (* eps eps)) 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 (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2)))))))) |
#s(approx (- eps (tan eps)) #s(hole binary64 (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))))) |
| Outputs |
|---|
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#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 (* (log eps) 3) (*.f64 (log.f64 eps) #s(literal 3 binary64))) |
#s(approx (log eps) (log.f64 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 eps) 27/112000) 27/2800) (* eps eps)) 9/40) eps) eps) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) #s(literal 27/112000 binary64))) |
#s(approx (- (* (* (+ (* (- (* (* eps eps) 27/112000) 27/2800) (* eps eps)) 9/40) eps) eps) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))))) |
#s(approx (- (* (* (+ (* (- (* (* eps eps) 27/112000) 27/2800) (* eps eps)) 9/40) eps) eps) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) (+.f64 #s(literal 27/112000 binary64) (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)))))) |
#s(approx (- (* (* (+ (* (- (* (* eps eps) 27/112000) 27/2800) (* eps eps)) 9/40) eps) eps) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) (-.f64 (+.f64 #s(literal 27/112000 binary64) (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)))))) |
#s(approx (* (+ (* (- (* (* eps eps) 27/112000) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 27/112000 binary64))) |
#s(approx (* (+ (* (- (* (* eps eps) 27/112000) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))))) |
#s(approx (* (+ (* (- (* (* eps eps) 27/112000) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 27/112000 binary64) (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)))))) |
#s(approx (+ (* (- (* (* eps eps) 27/112000) 27/2800) (* eps eps)) 9/40) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 27/112000 binary64))) |
#s(approx (+ (* (- (* (* eps eps) 27/112000) 27/2800) (* eps eps)) 9/40) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))))) |
#s(approx (+ (* (- (* (* eps eps) 27/112000) 27/2800) (* eps eps)) 9/40) (*.f64 (+.f64 #s(literal 27/112000 binary64) (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (* (* eps eps) 27/112000) 27/2800) (*.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (*.f64 eps eps))) |
#s(approx (- (* (* eps eps) 9/40) 1/2) (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) (*.f64 eps eps))) |
#s(approx (- 9/40 (/ 1/2 (* eps eps))) (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))) |
#s(approx (- eps (sin eps)) (*.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 eps) eps)) #s(literal 1 binary64)) eps)) |
#s(approx (* (+ (* (* (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* (* eps eps) eps)) (*.f64 (pow.f64 eps #s(literal 9 binary64)) #s(literal -1/362880 binary64))) |
#s(approx (* (+ (* (* (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* (* eps eps) eps)) (*.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/362880 binary64)) (pow.f64 eps #s(literal 9 binary64)))) |
#s(approx (* (+ (* (* (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* (* eps eps) eps)) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (pow.f64 eps #s(literal 9 binary64)))) |
#s(approx (* (+ (* (* (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* (* eps eps) eps)) (*.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 eps #s(literal -6 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps))) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (pow.f64 eps #s(literal 9 binary64)))) |
#s(approx (+ (* (* (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) #s(literal -1/362880 binary64))) |
#s(approx (+ (* (* (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/362880 binary64)))) |
#s(approx (+ (* (* (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) (-.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))) |
#s(approx (+ (* (* (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) (-.f64 (-.f64 (fma.f64 (pow.f64 eps #s(literal -6 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps))) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))) |
#s(approx (* (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) eps) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal -1/362880 binary64))) |
#s(approx (* (- (* (* (+ (* -1/362880 (* eps eps)) 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 (* (- (* (* (+ (* -1/362880 (* eps eps)) 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 (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal -1/362880 binary64))) |
#s(approx (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) (*.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/362880 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal -1/362880 binary64))) |
#s(approx (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) (*.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/362880 binary64)) (*.f64 (*.f64 eps eps) eps))) |
#s(approx (+ (* -1/362880 (* eps eps)) 1/5040) (*.f64 (*.f64 eps eps) #s(literal -1/362880 binary64))) |
#s(approx (+ (* -1/362880 (* eps eps)) 1/5040) (*.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/362880 binary64)) (*.f64 eps eps))) |
#s(approx (- eps (tan eps)) (*.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 (* (log eps) 3) (*.f64 (neg.f64 (log.f64 eps)) #s(literal -3 binary64))) |
#s(approx (log eps) (log.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 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 (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 (* (- (* (* (+ (* -1/362880 (* eps eps)) 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 (* (- (* (* (+ (* -1/362880 (* eps eps)) 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 (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps))) (*.f64 (*.f64 eps eps) eps)))) |
#s(approx (- eps (tan eps)) (neg.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) #s(literal 1 binary64)) eps))) |
Compiled 20 786 to 2 674 computations (87.1% saved)
11 alts after pruning (4 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 453 | 4 | 457 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 455 | 11 | 466 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 1.2% | (/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 (exp.f64 (log.f64 eps)) #s(literal 3 binary64)))) (/.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)))))) |
| ✓ | 1.1% | (/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 (exp.f64 (log.f64 eps)) #s(literal 3 binary64)))) (-.f64 eps (tan.f64 eps))) |
| ▶ | 1.2% | (/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (exp.f64 (*.f64 (log.f64 eps) #s(literal 3 binary64))))) (/.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)))))) |
| ✓ | 1.0% | (/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (exp.f64 (*.f64 (log.f64 eps) #s(literal 3 binary64))))) (-.f64 eps (tan.f64 eps))) |
| ▶ | 2.4% | (/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) 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)))))) |
| ✓ | 2.1% | (/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) (-.f64 eps (tan.f64 eps))) |
| ✓ | 99.7% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64))) |
| ✓ | 99.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 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))) |
| ✓ | 99.5% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) |
| ▶ | 56.0% | #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))) |
| ✓ | 99.0% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
Compiled 362 to 220 computations (39.2% 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 |
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) 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)))))) |
#s(approx (- eps (sin eps)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) |
(*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps)) |
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64)) |
(*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) |
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) eps) eps) |
(*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) eps) |
(fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) |
#s(literal -1/362880 binary64) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
(*.f64 (*.f64 eps eps) eps) |
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (fma.f64 eps eps (+.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps (tan.f64 eps))))) |
(-.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) |
(pow.f64 (tan.f64 eps) #s(literal 3 binary64)) |
(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 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps (tan.f64 eps))) |
(pow.f64 (tan.f64 eps) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 eps (tan.f64 eps)) |
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (exp.f64 (*.f64 (log.f64 eps) #s(literal 3 binary64))))) (/.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)))))) |
#s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (exp.f64 (*.f64 (log.f64 eps) #s(literal 3 binary64))))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (exp.f64 (*.f64 (log.f64 eps) #s(literal 3 binary64)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) |
(*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) |
(exp.f64 (*.f64 (log.f64 eps) #s(literal 3 binary64))) |
(*.f64 (log.f64 eps) #s(literal 3 binary64)) |
(log.f64 eps) |
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 (exp.f64 (log.f64 eps)) #s(literal 3 binary64)))) (/.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)))))) |
#s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 (exp.f64 (log.f64 eps)) #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 (exp.f64 (log.f64 eps)) #s(literal 3 binary64))) |
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 3 binary64)) |
(exp.f64 (log.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 (- 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) eps) #s(hole binary64 (* -1/120 eps))) |
#s(approx (* (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) eps) #s(hole binary64 (* eps (- (* 1/5040 (pow eps 2)) 1/120)))) |
#s(approx (* (- (* (* (+ (* -1/362880 (* eps eps)) 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 (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) #s(hole binary64 -1/120)) |
#s(approx (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) #s(hole binary64 (- (* 1/5040 (pow eps 2)) 1/120))) |
#s(approx (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) #s(hole binary64 (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))) |
#s(approx (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) #s(hole binary64 (* 1/5040 (pow eps 2)))) |
#s(approx (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) #s(hole binary64 (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))))) |
#s(approx (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) #s(hole binary64 (* 1/5040 eps))) |
#s(approx (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) #s(hole binary64 (* eps (+ 1/5040 (* -1/362880 (pow eps 2)))))) |
#s(approx (+ (* -1/362880 (* eps eps)) 1/5040) #s(hole binary64 1/5040)) |
#s(approx (+ (* -1/362880 (* eps eps)) 1/5040) #s(hole binary64 (+ 1/5040 (* -1/362880 (pow eps 2))))) |
#s(approx (* (* eps eps) eps) #s(hole binary64 (pow eps 3))) |
#s(approx (/ (- (* (* eps eps) eps) (pow (tan eps) 3)) (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps))))) #s(hole binary64 (* -1/3 (pow eps 3)))) |
#s(approx (/ (- (* (* eps eps) eps) (pow (tan eps) 3)) (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps))))) #s(hole binary64 (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)))) |
#s(approx (/ (- (* (* eps eps) eps) (pow (tan eps) 3)) (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps))))) #s(hole binary64 (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)))) |
#s(approx (/ (- (* (* eps eps) eps) (pow (tan eps) 3)) (+ (* eps eps) (+ (pow (tan eps) 2) (* 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 (- (* (* eps eps) eps) (pow (tan eps) 3)) #s(hole binary64 (* -1 (pow eps 5)))) |
#s(approx (- (* (* eps eps) eps) (pow (tan eps) 3)) #s(hole binary64 (* (pow eps 5) (- (* -11/15 (pow eps 2)) 1)))) |
#s(approx (- (* (* eps eps) eps) (pow (tan eps) 3)) #s(hole binary64 (* (pow eps 5) (- (* (pow eps 2) (- (* -88/189 (pow eps 2)) 11/15)) 1)))) |
#s(approx (- (* (* eps eps) eps) (pow (tan eps) 3)) #s(hole binary64 (* (pow eps 5) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -1282/4725 (pow eps 2)) 88/189)) 11/15)) 1)))) |
#s(approx (pow (tan eps) 3) #s(hole binary64 (* (pow eps 3) (+ 1 (pow eps 2))))) |
#s(approx (pow (tan eps) 3) #s(hole binary64 (* (pow eps 3) (+ 1 (* (pow eps 2) (+ 1 (* 11/15 (pow eps 2)))))))) |
#s(approx (pow (tan eps) 3) #s(hole binary64 (* (pow eps 3) (+ 1 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 11/15 (* 88/189 (pow eps 2)))))))))) |
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2)))))) |
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))))) |
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))))))) |
#s(approx (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps)))) #s(hole binary64 (* 3 (pow eps 2)))) |
#s(approx (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps)))) #s(hole binary64 (* (pow eps 2) (+ 3 (pow eps 2))))) |
#s(approx (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps)))) #s(hole binary64 (* (pow eps 2) (+ 3 (* (pow eps 2) (+ 1 (* 23/45 (pow eps 2)))))))) |
#s(approx (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps)))) #s(hole binary64 (* (pow eps 2) (+ 3 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 23/45 (* 79/315 (pow eps 2)))))))))) |
#s(approx (+ (pow (tan eps) 2) (* eps (tan eps))) #s(hole binary64 (* 2 (pow eps 2)))) |
#s(approx (+ (pow (tan eps) 2) (* eps (tan eps))) #s(hole binary64 (* (pow eps 2) (+ 2 (pow eps 2))))) |
#s(approx (+ (pow (tan eps) 2) (* eps (tan eps))) #s(hole binary64 (* (pow eps 2) (+ 2 (* (pow eps 2) (+ 1 (* 23/45 (pow eps 2)))))))) |
#s(approx (+ (pow (tan eps) 2) (* eps (tan eps))) #s(hole binary64 (* (pow eps 2) (+ 2 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 23/45 (* 79/315 (pow eps 2)))))))))) |
#s(approx (pow (tan eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))))) |
#s(approx (pow (tan eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 2/3 (* 17/45 (pow eps 2)))))))) |
#s(approx (pow (tan eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 2/3 (* (pow eps 2) (+ 17/45 (* 62/315 (pow eps 2)))))))))) |
#s(approx (* eps (tan eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 1/3 (pow eps 2)))))) |
#s(approx (* eps (tan eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))))) |
#s(approx (* eps (tan eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))))))) |
#s(approx (* (log eps) 3) #s(hole binary64 (* 3 (log eps)))) |
#s(approx (log eps) #s(hole binary64 (log eps))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 1)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps))))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))))) |
#s(approx (- (* (* eps eps) 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 (sin eps)) (/ (- (* (* eps eps) eps) (pow (tan eps) 3)) (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps)))))) #s(hole binary64 (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps))))))) |
#s(approx (/ (- eps (sin eps)) (/ (- (* (* eps eps) eps) (pow (tan eps) 3)) (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps)))))) #s(hole binary64 (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))) |
#s(approx (/ (- eps (sin eps)) (/ (- (* (* eps eps) eps) (pow (tan eps) 3)) (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps)))))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 2)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))) (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))))) |
#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) eps) #s(hole binary64 (* -1/362880 (pow eps 5)))) |
#s(approx (* (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) eps) #s(hole binary64 (* (pow eps 5) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))) |
#s(approx (* (- (* (* (+ (* -1/362880 (* eps eps)) 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 (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) #s(hole binary64 (* -1/362880 (pow eps 4)))) |
#s(approx (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) #s(hole binary64 (* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))) |
#s(approx (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) #s(hole binary64 (* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4))))))) |
#s(approx (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) #s(hole binary64 (* -1/362880 (pow eps 3)))) |
#s(approx (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) #s(hole binary64 (* (pow eps 3) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))) |
#s(approx (+ (* -1/362880 (* eps eps)) 1/5040) #s(hole binary64 (* -1/362880 (pow eps 2)))) |
#s(approx (+ (* -1/362880 (* eps eps)) 1/5040) #s(hole binary64 (* (pow eps 2) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))) |
#s(approx (/ (- (* (* eps eps) eps) (pow (tan eps) 3)) (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps))))) #s(hole binary64 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))) |
#s(approx (/ (- (* (* eps eps) eps) (pow (tan eps) 3)) (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps))))) #s(hole binary64 (* eps (- (+ 1 (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow eps 2)))) (/ (sin eps) (* eps (cos eps))))))) |
#s(approx (/ (- (* (* eps eps) eps) (pow (tan eps) 3)) (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps))))) #s(hole binary64 (* eps (- (+ 1 (/ (* (sin eps) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* (pow eps 3) (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))) |
#s(approx (- (* (* eps eps) eps) (pow (tan eps) 3)) #s(hole binary64 (* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))))))) |
#s(approx (pow (tan eps) 3) #s(hole binary64 (/ (pow (sin eps) 3) (pow (cos eps) 3)))) |
#s(approx (tan eps) #s(hole binary64 (/ (sin eps) (cos eps)))) |
#s(approx (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps)))) #s(hole binary64 (* (pow eps 2) (+ 1 (/ (sin eps) (* eps (cos eps))))))) |
#s(approx (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps)))) #s(hole binary64 (* (pow eps 2) (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))) |
#s(approx (+ (pow (tan eps) 2) (* eps (tan eps))) #s(hole binary64 (/ (* eps (sin eps)) (cos eps)))) |
#s(approx (+ (pow (tan eps) 2) (* eps (tan eps))) #s(hole binary64 (* eps (+ (/ (sin eps) (cos eps)) (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))))) |
#s(approx (pow (tan eps) 2) #s(hole binary64 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) |
#s(approx (* (log eps) 3) #s(hole binary64 (* -3 (log (/ 1 eps))))) |
#s(approx (log eps) #s(hole binary64 (* -1 (log (/ 1 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 (sin eps)) (/ (- (* (* eps eps) eps) (pow (tan eps) 3)) (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps)))))) #s(hole binary64 (+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps))))) |
#s(approx (/ (- eps (sin eps)) (/ (- (* (* eps eps) eps) (pow (tan eps) 3)) (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps)))))) #s(hole binary64 (+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)))) eps))))) |
#s(approx (/ (- eps (sin eps)) (/ (- (* (* eps eps) eps) (pow (tan eps) 3)) (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps)))))) #s(hole binary64 (+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (/ (- (/ (pow (sin eps) 3) (pow (cos eps) 2)) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 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 (* (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2)))))))) |
#s(approx (* (- (* (* (+ (* -1/362880 (* eps eps)) 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 (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2)))))))) |
#s(approx (/ (- (* (* eps eps) eps) (pow (tan eps) 3)) (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps))))) #s(hole binary64 (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))))) |
#s(approx (/ (- (* (* eps eps) eps) (pow (tan eps) 3)) (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps))))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps))) eps)) 1))))) |
#s(approx (/ (- (* (* eps eps) eps) (pow (tan eps) 3)) (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps))))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (/ (* (sin eps) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))) eps)) 1))))) |
#s(approx (- (* (* eps eps) eps) (pow (tan eps) 3)) #s(hole binary64 (* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))) 1))))) |
#s(approx (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps)))) #s(hole binary64 (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))) eps)))))) |
#s(approx (+ (pow (tan eps) 2) (* eps (tan eps))) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 47.0ms | 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 eps) eps) (pow (tan eps) 3)) (+ (* eps eps) (+ (pow (tan eps) 2) (* 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) eps) (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) (+ (* -1/362880 (* eps eps)) 1/5040) -1/362880 1/5040 1/120 1/6 (* (* eps eps) eps) (/ (- (* (* eps eps) eps) (pow (tan eps) 3)) (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps))))) (- (* (* eps eps) eps) (pow (tan eps) 3)) (pow (tan eps) 3) (tan eps) 3 (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps)))) (+ (pow (tan eps) 2) (* eps (tan eps))) (pow (tan eps) 2) 2 (* eps (tan eps)) (/ (- eps (sin eps)) (/ (- (* (* eps eps) eps) (pow (tan eps) 3)) (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps)))))) (- eps (sin eps)) (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (exp (* (log eps) 3))) (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) (exp (* (log eps) 3)) (* (log eps) 3) (log eps) (/ (- eps (sin eps)) (/ (- (* (* eps eps) eps) (pow (tan eps) 3)) (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps)))))) (- eps (sin eps)) (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (pow (exp (log eps)) 3)) (pow (exp (log eps)) 3) (exp (log eps))) |
| 27.0ms | 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 eps) eps) (pow (tan eps) 3)) (+ (* eps eps) (+ (pow (tan eps) 2) (* 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) eps) (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) (+ (* -1/362880 (* eps eps)) 1/5040) -1/362880 1/5040 1/120 1/6 (* (* eps eps) eps) (/ (- (* (* eps eps) eps) (pow (tan eps) 3)) (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps))))) (- (* (* eps eps) eps) (pow (tan eps) 3)) (pow (tan eps) 3) (tan eps) 3 (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps)))) (+ (pow (tan eps) 2) (* eps (tan eps))) (pow (tan eps) 2) 2 (* eps (tan eps)) (/ (- eps (sin eps)) (/ (- (* (* eps eps) eps) (pow (tan eps) 3)) (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps)))))) (- eps (sin eps)) (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (exp (* (log eps) 3))) (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) (exp (* (log eps) 3)) (* (log eps) 3) (log eps) (/ (- eps (sin eps)) (/ (- (* (* eps eps) eps) (pow (tan eps) 3)) (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps)))))) (- eps (sin eps)) (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (pow (exp (log eps)) 3)) (pow (exp (log eps)) 3) (exp (log eps))) |
| 12.0ms | 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 eps) eps) (pow (tan eps) 3)) (+ (* eps eps) (+ (pow (tan eps) 2) (* 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) eps) (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) (+ (* -1/362880 (* eps eps)) 1/5040) -1/362880 1/5040 1/120 1/6 (* (* eps eps) eps) (/ (- (* (* eps eps) eps) (pow (tan eps) 3)) (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps))))) (- (* (* eps eps) eps) (pow (tan eps) 3)) (pow (tan eps) 3) (tan eps) 3 (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps)))) (+ (pow (tan eps) 2) (* eps (tan eps))) (pow (tan eps) 2) 2 (* eps (tan eps)) (/ (- eps (sin eps)) (/ (- (* (* eps eps) eps) (pow (tan eps) 3)) (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps)))))) (- eps (sin eps)) (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (exp (* (log eps) 3))) (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) (exp (* (log eps) 3)) (* (log eps) 3) (log eps) (/ (- eps (sin eps)) (/ (- (* (* eps eps) eps) (pow (tan eps) 3)) (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps)))))) (- eps (sin eps)) (* (+ (* (- (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) 1/120) (* eps eps)) 1/6) (pow (exp (log eps)) 3)) (pow (exp (log eps)) 3) (exp (log eps))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 603 | 4237 |
| 0 | 678 | 3537 |
| 1 | 3324 | 3475 |
| 0 | 8763 | 3407 |
| 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 |
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) 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)))))) |
#s(approx (- eps (sin eps)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) |
(*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps)) |
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64)) |
(*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) |
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#s(approx (/ (- (* (* eps eps) eps) (pow (tan eps) 3)) (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps))))) #s(hole binary64 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))) |
#s(approx (/ (- (* (* eps eps) eps) (pow (tan eps) 3)) (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps))))) #s(hole binary64 (* eps (- (+ 1 (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow eps 2)))) (/ (sin eps) (* eps (cos eps))))))) |
#s(approx (/ (- (* (* eps eps) eps) (pow (tan eps) 3)) (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps))))) #s(hole binary64 (* eps (- (+ 1 (/ (* (sin eps) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* (pow eps 3) (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))) |
#s(approx (- (* (* eps eps) eps) (pow (tan eps) 3)) #s(hole binary64 (* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))))))) |
#s(approx (pow (tan eps) 3) #s(hole binary64 (/ (pow (sin eps) 3) (pow (cos eps) 3)))) |
#s(approx (tan eps) #s(hole binary64 (/ (sin eps) (cos eps)))) |
#s(approx (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps)))) #s(hole binary64 (* (pow eps 2) (+ 1 (/ (sin eps) (* eps (cos eps))))))) |
#s(approx (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps)))) #s(hole binary64 (* (pow eps 2) (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))) |
#s(approx (+ (pow (tan eps) 2) (* eps (tan eps))) #s(hole binary64 (/ (* eps (sin eps)) (cos eps)))) |
#s(approx (+ (pow (tan eps) 2) (* eps (tan eps))) #s(hole binary64 (* eps (+ (/ (sin eps) (cos eps)) (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))))) |
#s(approx (pow (tan eps) 2) #s(hole binary64 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) |
#s(approx (* (log eps) 3) #s(hole binary64 (* -3 (log (/ 1 eps))))) |
#s(approx (log eps) #s(hole binary64 (* -1 (log (/ 1 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 (sin eps)) (/ (- (* (* eps eps) eps) (pow (tan eps) 3)) (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps)))))) #s(hole binary64 (+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps))))) |
#s(approx (/ (- eps (sin eps)) (/ (- (* (* eps eps) eps) (pow (tan eps) 3)) (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps)))))) #s(hole binary64 (+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)))) eps))))) |
#s(approx (/ (- eps (sin eps)) (/ (- (* (* eps eps) eps) (pow (tan eps) 3)) (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps)))))) #s(hole binary64 (+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (/ (- (/ (pow (sin eps) 3) (pow (cos eps) 2)) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 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 (* (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2)))))))) |
#s(approx (* (- (* (* (+ (* -1/362880 (* eps eps)) 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 (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2)))))))) |
#s(approx (/ (- (* (* eps eps) eps) (pow (tan eps) 3)) (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps))))) #s(hole binary64 (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))))) |
#s(approx (/ (- (* (* eps eps) eps) (pow (tan eps) 3)) (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps))))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps))) eps)) 1))))) |
#s(approx (/ (- (* (* eps eps) eps) (pow (tan eps) 3)) (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps))))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (/ (* (sin eps) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))) eps)) 1))))) |
#s(approx (- (* (* eps eps) eps) (pow (tan eps) 3)) #s(hole binary64 (* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))) 1))))) |
#s(approx (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps)))) #s(hole binary64 (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))) eps)))))) |
#s(approx (+ (pow (tan eps) 2) (* eps (tan eps))) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))))))) |
| 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) eps) (*.f64 (*.f64 eps 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) eps) (*.f64 (*.f64 eps 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)))))) |
(-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) |
(+.f64 #s(literal 9/40 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))) |
#s(literal 9/40 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps 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 (*.f64 eps eps))) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (*.f64 eps eps)))) |
(/.f64 #s(literal 1/2 binary64) (*.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 (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 (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)) |
(fabs.f64 (*.f64 eps eps)) |
(exp.f64 (+.f64 (log.f64 eps) (log.f64 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 |
(*.f64 (/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) (-.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 eps eps (fma.f64 (tan.f64 eps) eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (pow.f64 (fma.f64 (tan.f64 eps) eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (-.f64 (*.f64 eps eps) (fma.f64 (tan.f64 eps) eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps) (pow.f64 (fma.f64 (tan.f64 eps) eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (fma.f64 (*.f64 eps eps) (*.f64 eps eps) (-.f64 (pow.f64 (fma.f64 (tan.f64 eps) eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 eps eps) (fma.f64 (tan.f64 eps) eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))))) (neg.f64 (neg.f64 (-.f64 eps (tan.f64 eps))))) |
(/.f64 (neg.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps)))) (neg.f64 (-.f64 eps (tan.f64 eps)))) |
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) (-.f64 eps (tan.f64 eps))) |
#s(approx (- eps (sin eps)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64)) (*.f64 eps eps)) eps) |
(*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps)) |
(*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps))) |
(fma.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps) (*.f64 (*.f64 eps eps) eps))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps) (*.f64 (*.f64 eps eps) eps))) |
(+.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps))) |
(+.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps) (*.f64 (*.f64 eps eps) eps))) |
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eps |
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#s(approx (+ (* (* (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/362880 binary64)))) |
#s(approx (+ (* (* (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) (-.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))) |
#s(approx (+ (* (* (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) (-.f64 (-.f64 (fma.f64 (pow.f64 eps #s(literal -6 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps))) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))) |
#s(approx (* (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) eps) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 eps eps)) #s(literal -1/362880 binary64))) |
#s(approx (* (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) eps) (*.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/362880 binary64)) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 eps eps)))) |
#s(approx (* (- (* (* (+ (* -1/362880 (* eps eps)) 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)))) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 eps eps)))) |
#s(approx (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal -1/362880 binary64))) |
#s(approx (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/362880 binary64)))) |
#s(approx (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))) |
#s(approx (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal -1/362880 binary64))) |
#s(approx (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) (*.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/362880 binary64)) (*.f64 (*.f64 eps eps) eps))) |
#s(approx (+ (* -1/362880 (* eps eps)) 1/5040) (*.f64 (*.f64 eps eps) #s(literal -1/362880 binary64))) |
#s(approx (+ (* -1/362880 (* eps eps)) 1/5040) (*.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/362880 binary64)) (*.f64 eps eps))) |
#s(approx (/ (- (* (* eps eps) eps) (pow (tan eps) 3)) (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps))))) (*.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps))) #s(literal 1 binary64)) eps)) |
#s(approx (/ (- (* (* eps eps) eps) (pow (tan eps) 3)) (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps))))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (/.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (*.f64 eps eps))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)))) eps)) |
#s(approx (/ (- (* (* eps eps) eps) (pow (tan eps) 3)) (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps))))) (*.f64 (-.f64 (-.f64 (fma.f64 (sin.f64 eps) (/.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (*.f64 (cos.f64 eps) (*.f64 (*.f64 eps eps) eps))) #s(literal 1 binary64)) (neg.f64 (pow.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) #s(literal 2 binary64)) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)))) eps)) |
#s(approx (- (* (* eps eps) eps) (pow (tan eps) 3)) (*.f64 (+.f64 (pow.f64 (neg.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps))) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 eps eps) eps))) |
#s(approx (pow (tan eps) 3) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) |
#s(approx (tan eps) (tan.f64 eps)) |
#s(approx (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps)))) (*.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) #s(literal 1 binary64)) (*.f64 eps eps))) |
#s(approx (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps)))) (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) #s(literal 2 binary64)) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps))) #s(literal 1 binary64)) (*.f64 eps eps))) |
#s(approx (+ (pow (tan eps) 2) (* eps (tan eps))) (*.f64 (tan.f64 eps) eps)) |
#s(approx (+ (pow (tan eps) 2) (* eps (tan eps))) (*.f64 eps (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) eps)) (tan.f64 eps)))) |
#s(approx (pow (tan eps) 2) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) |
#s(approx (* (log eps) 3) (*.f64 (neg.f64 (log.f64 eps)) #s(literal -3 binary64))) |
#s(approx (log eps) (log.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 (sin.f64 eps) (/.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) (*.f64 (cos.f64 eps) eps)) (sin.f64 eps)) (tan.f64 eps)) eps)) #s(literal 1 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (+.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (/.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) eps)))) (/.f64 (*.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) (sin.f64 eps)) (cos.f64 eps))) eps)) (sin.f64 eps)) (tan.f64 eps)) eps)) #s(literal 1 binary64))) |
#s(approx (* (- 9/40 (/ 1/2 (* eps eps))) eps) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) #s(literal 9/40 binary64)) eps))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (tan.f64 eps)) (sin.f64 eps)) eps)) #s(literal 1 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (cos.f64 eps))) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) eps)) (neg.f64 (tan.f64 eps))) (sin.f64 eps)) eps)) #s(literal 1 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) eps)) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (cos.f64 eps))) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) eps)) (neg.f64 (tan.f64 eps))) (sin.f64 eps)) eps)) #s(literal 1 binary64))) |
#s(approx (- eps (sin eps)) (neg.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) |
#s(approx (* (+ (* (* (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* (* eps eps) eps)) (neg.f64 (*.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 9 binary64))))) |
#s(approx (* (+ (* (* (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* (* eps eps) eps)) (neg.f64 (*.f64 (+.f64 #s(literal 1/362880 binary64) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)))) (pow.f64 eps #s(literal 9 binary64))))) |
#s(approx (* (+ (* (* (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) eps) eps) 1/6) (* (* eps eps) eps)) (neg.f64 (*.f64 (-.f64 (+.f64 #s(literal 1/362880 binary64) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)))) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)))) (pow.f64 eps #s(literal 9 binary64))))) |
#s(approx (* (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) eps) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 eps eps))) (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps))))) |
#s(approx (* (- (* (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) eps) 1/120) eps) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 eps eps))) (+.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)))))) |
#s(approx (* (+ (* -1/362880 (* eps eps)) 1/5040) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps))) (*.f64 (*.f64 eps eps) eps)))) |
#s(approx (/ (- (* (* eps eps) eps) (pow (tan eps) 3)) (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps))))) (neg.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) #s(literal 1 binary64)) eps))) |
#s(approx (/ (- (* (* eps eps) eps) (pow (tan eps) 3)) (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps))))) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) eps)) (neg.f64 (tan.f64 eps))) eps)) #s(literal 1 binary64)) eps))) |
#s(approx (/ (- (* (* eps eps) eps) (pow (tan eps) 3)) (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps))))) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (sin.f64 eps)) (*.f64 (cos.f64 eps) eps)))) eps)) (neg.f64 (tan.f64 eps))) eps)) #s(literal 1 binary64)) eps))) |
#s(approx (- (* (* eps eps) eps) (pow (tan eps) 3)) (neg.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps))) #s(literal 3 binary64))) (*.f64 (*.f64 eps eps) eps)))) |
#s(approx (+ (* eps eps) (+ (pow (tan eps) 2) (* eps (tan eps)))) (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) eps))) (neg.f64 (tan.f64 eps))) eps)) #s(literal 1 binary64)) (*.f64 eps eps))) |
#s(approx (+ (pow (tan eps) 2) (* eps (tan eps))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) eps))) (neg.f64 (tan.f64 eps))) eps))) |
Compiled 42 447 to 2 946 computations (93.1% saved)
12 alts after pruning (4 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 689 | 4 | 693 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 1 | 4 |
| Done | 0 | 7 | 7 |
| Total | 692 | 12 | 704 |
| Status | Accuracy | Program |
|---|---|---|
| 1.2% | (/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 (exp.f64 (log.f64 eps)) #s(literal 3 binary64)))) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (fma.f64 eps eps (fma.f64 (tan.f64 eps) eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))) | |
| ✓ | 1.1% | (/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 (exp.f64 (log.f64 eps)) #s(literal 3 binary64)))) (-.f64 eps (tan.f64 eps))) |
| 1.2% | (/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (exp.f64 (*.f64 (log.f64 eps) #s(literal 3 binary64))))) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (fma.f64 eps eps (fma.f64 (tan.f64 eps) eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))) | |
| ✓ | 1.0% | (/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (exp.f64 (*.f64 (log.f64 eps) #s(literal 3 binary64))))) (-.f64 eps (tan.f64 eps))) |
| ✓ | 2.1% | (/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) (-.f64 eps (tan.f64 eps))) |
| 2.4% | (*.f64 (/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) (-.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 eps eps (fma.f64 (tan.f64 eps) eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) | |
| ✓ | 99.7% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64))) |
| ✓ | 99.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 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))) |
| ✓ | 99.5% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) |
| ✓ | 56.0% | #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))) |
| 98.7% | #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 #s(literal -1/2 binary64) eps)) eps))) | |
| ✓ | 99.0% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
Compiled 1 091 to 357 computations (67.3% saved)
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #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 #s(literal -1/2 binary64) eps)) eps))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #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))) (-.f64 (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 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))) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) 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 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) (-.f64 eps (tan.f64 eps))) |
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (exp.f64 (*.f64 (log.f64 eps) #s(literal 3 binary64))))) (-.f64 eps (tan.f64 eps))) |
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 (exp.f64 (log.f64 eps)) #s(literal 3 binary64)))) (-.f64 eps (tan.f64 eps))) |
(*.f64 (/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) (-.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 eps eps (fma.f64 (tan.f64 eps) eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) |
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) eps) eps #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (fma.f64 eps eps (+.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps (tan.f64 eps)))))) |
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps))) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (fma.f64 eps eps (+.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps (tan.f64 eps)))))) |
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (exp.f64 (*.f64 (log.f64 eps) #s(literal 3 binary64))))) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (fma.f64 eps eps (fma.f64 (tan.f64 eps) eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))) |
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (exp.f64 (*.f64 (log.f64 eps) #s(literal 3 binary64))))) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (fma.f64 eps eps (+.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps (tan.f64 eps)))))) |
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 (exp.f64 (log.f64 eps)) #s(literal 3 binary64)))) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (fma.f64 eps eps (fma.f64 (tan.f64 eps) eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))) |
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 (exp.f64 (log.f64 eps)) #s(literal 3 binary64)))) (/.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)))))) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.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:
| 29.0ms | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 5.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 99.9% | 1 | eps |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (- (* (* eps eps) 9/40) 1/2) (*.f64 #s(approx (* (- 9/40 (/ 1/2 (* eps eps))) eps) (/.f64 #s(literal -1/2 binary64) eps)) eps))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #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))) (-.f64 (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64))) |
2 calls:
| 2.0ms | eps |
| 1.0ms | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 99.7% | 1 | eps |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #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 #s(literal -1/2 binary64) eps)) eps))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #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)))) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) |
2 calls:
| 2.0ms | eps |
| 1.0ms | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 99.5% | 1 | eps |
Compiled 10 to 7 computations (30% saved)
Total -0.2b remaining (-26.7%)
Threshold costs -0.2b (-26.7%)
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #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 #s(literal -1/2 binary64) eps)) eps))) |
| 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 |
|---|---|---|
| 99.0% | 1 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 99.0% | 1 | eps |
Compiled 10 to 7 computations (30% saved)
| 1× | fuel |
Compiled 78 to 28 computations (64.1% saved)
Compiled 131 to 62 computations (52.7% saved)
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