
Time bar (total: 14.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0.0% | 0.0% | 25.4% | 74.6% | 0.0% | 0.0% | 0.0% | 0 |
| 0.0% | 0.0% | 25.4% | 74.6% | 0.0% | 0.0% | 0.0% | 1 |
| 0.0% | 0.0% | 25.4% | 74.6% | 0.0% | 0.0% | 0.0% | 2 |
| 0.0% | 0.0% | 25.4% | 74.6% | 0.0% | 0.0% | 0.0% | 3 |
| 0.0% | 0.0% | 22.2% | 74.6% | 0.0% | 3.2% | 0.0% | 4 |
| 0.0% | 0.0% | 20.6% | 74.6% | 0.0% | 4.8% | 0.0% | 5 |
| 0.0% | 0.0% | 18.3% | 74.6% | 0.0% | 7.1% | 0.0% | 6 |
| 0.0% | 0.0% | 10.7% | 74.6% | 0.0% | 14.7% | 0.0% | 7 |
| 0.0% | 0.0% | 9.3% | 74.6% | 0.0% | 16.1% | 0.0% | 8 |
| 0.0% | 0.0% | 8.2% | 74.6% | 0.0% | 17.2% | 0.0% | 9 |
| 0.0% | 0.0% | 5.7% | 74.6% | 0.0% | 19.7% | 0.0% | 10 |
| 0.0% | 0.0% | 5.0% | 74.6% | 0.0% | 20.4% | 0.0% | 11 |
| 0.0% | 0.0% | 4.4% | 74.6% | 0.0% | 21.0% | 0.0% | 12 |
Compiled 52 to 27 computations (48.1% saved)
| 8.9s | 62 096× | 0 | invalid |
| 912.0ms | 8 256× | 0 | valid |
ival-mult!: 2.2s (38.3% of total)ival-expm1: 1.4s (24.7% of total)ival-fabs: 623.0ms (10.7% of total)ival-div!: 463.0ms (8.0% of total)ival-<=: 421.0ms (7.2% of total)ival-add!: 350.0ms (6.0% of total)ival-and: 173.0ms (3.0% of total)ival-fmin: 77.0ms (1.3% of total)ival-assert: 30.0ms (0.5% of total)adjust: 15.0ms (0.3% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 257 |
| 1 | 401 | 250 |
| 2 | 1477 | 250 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 0.0% | (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) |
(sort a b)
Compiled 48 to 34 computations (29.2% saved)
| Inputs |
|---|
1 |
| Outputs |
|---|
#s(literal 1 binary64) |
| 0.0ms | 1× | 0 | valid |
Compiled 3 to 3 computations (0.0% saved)
adjust: 0.0ms (0.0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 596 | 4189 |
| 1× | iter-limit |
| Inputs |
|---|
eps |
a |
b |
(+.f64 a b) |
(*.f64 (+.f64 a b) eps) |
(exp.f64 (*.f64 (+.f64 a b) eps)) |
#s(literal 1 binary64) |
(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) |
(*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) |
(*.f64 a eps) |
(exp.f64 (*.f64 a eps)) |
(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) |
(*.f64 b eps) |
(exp.f64 (*.f64 b eps)) |
(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)) |
(*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) |
(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx a a) |
#s(approx (+ a b) b) |
#s(approx (+ a b) (+.f64 a b)) |
#s(approx (* (+ a b) eps) (*.f64 b eps)) |
#s(approx (* (+ a b) eps) (+.f64 (*.f64 a eps) (*.f64 b eps))) |
#s(approx (exp (* (+ a b) eps)) (exp.f64 (*.f64 b eps))) |
#s(approx (exp (* (+ a b) eps)) (+.f64 (exp.f64 (*.f64 b eps)) (*.f64 a (*.f64 eps (exp.f64 (*.f64 b eps)))))) |
#s(approx (exp (* (+ a b) eps)) (+.f64 (exp.f64 (*.f64 b eps)) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))))) (*.f64 eps (exp.f64 (*.f64 b eps))))))) |
#s(approx (exp (* (+ a b) eps)) (+.f64 (exp.f64 (*.f64 b eps)) (*.f64 a (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 b eps))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps)))))) (*.f64 eps (exp.f64 (*.f64 b eps))))))) |
#s(approx (- (exp (* (+ a b) eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) |
#s(approx (- (exp (* (+ a b) eps)) 1) (-.f64 (+.f64 (exp.f64 (*.f64 b eps)) (*.f64 a (*.f64 eps (exp.f64 (*.f64 b eps))))) #s(literal 1 binary64))) |
#s(approx (- (exp (* (+ a b) eps)) 1) (-.f64 (+.f64 (exp.f64 (*.f64 b eps)) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))))) (*.f64 eps (exp.f64 (*.f64 b eps)))))) #s(literal 1 binary64))) |
#s(approx (- (exp (* (+ a b) eps)) 1) (-.f64 (+.f64 (exp.f64 (*.f64 b eps)) (*.f64 a (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 b eps))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps)))))) (*.f64 eps (exp.f64 (*.f64 b eps)))))) #s(literal 1 binary64))) |
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (*.f64 eps (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) |
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (+.f64 (*.f64 a (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps)))) (*.f64 eps (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))) |
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 b eps))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))))) (*.f64 eps (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))) |
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (+.f64 (*.f64 a (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 (pow.f64 eps #s(literal 4 binary64)) (exp.f64 (*.f64 b eps))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 b eps)))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))))) (*.f64 eps (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))) |
#s(approx (* a eps) (*.f64 a eps)) |
#s(approx (exp (* a eps)) #s(literal 1 binary64)) |
#s(approx (exp (* a eps)) (+.f64 #s(literal 1 binary64) (*.f64 a eps))) |
#s(approx (exp (* a eps)) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 eps #s(literal 2 binary64)))))))) |
#s(approx (exp (* a eps)) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 eps (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 eps #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))))) |
#s(approx (- (exp (* a eps)) 1) (*.f64 a (+.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 eps #s(literal 2 binary64))))))) |
#s(approx (- (exp (* a eps)) 1) (*.f64 a (+.f64 eps (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 eps #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) |
#s(approx (- (exp (* a eps)) 1) (*.f64 a (+.f64 eps (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 a (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 eps #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64)))))))))) |
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (*.f64 a (*.f64 eps (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))) |
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))) (*.f64 eps (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))))) |
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (*.f64 a (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))))) (*.f64 eps (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))))) |
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (*.f64 a (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (*.f64 a (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))))))) (*.f64 eps (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps)))) a)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (+.f64 (*.f64 a (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps))))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)))) a)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (+.f64 (*.f64 a (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (*.f64 a (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps))))))))))))) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps))))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)))) a)) |
#s(approx (+ a b) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))) |
#s(approx (* (+ a b) eps) (*.f64 a (+.f64 eps (/.f64 (*.f64 b eps) a)))) |
#s(approx (exp (* (+ a b) eps)) (exp.f64 (*.f64 eps (+.f64 a b)))) |
#s(approx (- (exp (* (+ a b) eps)) 1) (-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) #s(literal 1 binary64))) |
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (*.f64 eps (-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) #s(literal 1 binary64)))) |
#s(approx (exp (* a eps)) (exp.f64 (*.f64 a eps))) |
#s(approx (- (exp (* a eps)) 1) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))) |
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))) |
#s(approx (+ a b) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64))))) |
#s(approx (* (+ a b) eps) (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b eps) a)))))) |
#s(approx (exp (* (+ a b) eps)) (exp.f64 (*.f64 eps (-.f64 b (*.f64 #s(literal -1 binary64) a))))) |
#s(approx (- (exp (* (+ a b) eps)) 1) (-.f64 (exp.f64 (*.f64 eps (-.f64 b (*.f64 #s(literal -1 binary64) a)))) #s(literal 1 binary64))) |
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (*.f64 eps (-.f64 (exp.f64 (*.f64 eps (-.f64 b (*.f64 #s(literal -1 binary64) a)))) #s(literal 1 binary64)))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 eps (-.f64 b (*.f64 #s(literal -1 binary64) a)))) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))) |
#s(approx (exp (* (+ a b) eps)) (+.f64 (exp.f64 (*.f64 a eps)) (*.f64 b (*.f64 eps (exp.f64 (*.f64 a eps)))))) |
#s(approx (exp (* (+ a b) eps)) (+.f64 (exp.f64 (*.f64 a eps)) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps))))) (*.f64 eps (exp.f64 (*.f64 a eps))))))) |
#s(approx (exp (* (+ a b) eps)) (+.f64 (exp.f64 (*.f64 a eps)) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 a eps))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps)))))) (*.f64 eps (exp.f64 (*.f64 a eps))))))) |
#s(approx (- (exp (* (+ a b) eps)) 1) (-.f64 (+.f64 (exp.f64 (*.f64 a eps)) (*.f64 b (*.f64 eps (exp.f64 (*.f64 a eps))))) #s(literal 1 binary64))) |
#s(approx (- (exp (* (+ a b) eps)) 1) (-.f64 (+.f64 (exp.f64 (*.f64 a eps)) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps))))) (*.f64 eps (exp.f64 (*.f64 a eps)))))) #s(literal 1 binary64))) |
#s(approx (- (exp (* (+ a b) eps)) 1) (-.f64 (+.f64 (exp.f64 (*.f64 a eps)) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 a eps))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps)))))) (*.f64 eps (exp.f64 (*.f64 a eps)))))) #s(literal 1 binary64))) |
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (*.f64 eps (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))) |
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (+.f64 (*.f64 b (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps)))) (*.f64 eps (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))))) |
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (+.f64 (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 a eps))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps))))) (*.f64 eps (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))))) |
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (+.f64 (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b (*.f64 (pow.f64 eps #s(literal 4 binary64)) (exp.f64 (*.f64 a eps))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 a eps)))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps))))) (*.f64 eps (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))))) |
#s(approx (exp (* b eps)) (+.f64 #s(literal 1 binary64) (*.f64 b eps))) |
#s(approx (exp (* b eps)) (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 b (pow.f64 eps #s(literal 2 binary64)))))))) |
#s(approx (exp (* b eps)) (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 eps (*.f64 b (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b (pow.f64 eps #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))))) |
#s(approx (- (exp (* b eps)) 1) (*.f64 b (+.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 b (pow.f64 eps #s(literal 2 binary64))))))) |
#s(approx (- (exp (* b eps)) 1) (*.f64 b (+.f64 eps (*.f64 b (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b (pow.f64 eps #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) |
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#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (*.f64 a b))) (+.f64 (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b)) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 a b)))))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (*.f64 a b))) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 4 binary64)) (*.f64 a b))) (+.f64 (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 b #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) b)) (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 2 binary64)))))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b)) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 a b)) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (*.f64 a b))) (+.f64 (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b)) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 a b))))) (*.f64 a b))))))) (+.f64 (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b)) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 a b)))))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
9 calls:
| Time | Variable | Point |
|---|---|---|
| 9.0ms | a | -inf |
| 5.0ms | eps | inf |
| 4.0ms | eps | 0 |
| 4.0ms | b | 0 |
| 4.0ms | eps | -inf |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 99 |
| 0 | 30 | 99 |
| 1 | 141 | 99 |
| 2 | 521 | 99 |
| 3 | 2832 | 99 |
| 0 | 4165 | 99 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
eps |
a |
b |
(+.f64 a b) |
(*.f64 (+.f64 a b) eps) |
(exp.f64 (*.f64 (+.f64 a b) eps)) |
#s(literal 1 binary64) |
(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) |
(*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) |
(*.f64 a eps) |
(exp.f64 (*.f64 a eps)) |
(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) |
(*.f64 b eps) |
(exp.f64 (*.f64 b eps)) |
(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)) |
(*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) |
(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) |
| Outputs |
|---|
eps |
a |
b |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)) b) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) b) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) a)) a) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) a) |
(/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 a) (neg.f64 a))) (+.f64 b (neg.f64 a))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (+.f64 (*.f64 b b) (+.f64 (*.f64 (neg.f64 a) (neg.f64 a)) (*.f64 b (neg.f64 a))))) |
(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 b a)) |
(/.f64 (-.f64 (*.f64 a a) (*.f64 (neg.f64 b) (neg.f64 b))) (+.f64 a (neg.f64 b))) |
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (*.f64 b b) (-.f64 (*.f64 a a) (*.f64 b a)))) |
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (neg.f64 b) #s(literal 3 binary64))) (+.f64 (*.f64 a a) (+.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (*.f64 a (neg.f64 b))))) |
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b)) |
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (*.f64 a a) (-.f64 (*.f64 b b) (*.f64 a b)))) |
(neg.f64 (-.f64 (neg.f64 a) b)) |
(neg.f64 (-.f64 (neg.f64 b) a)) |
(-.f64 b (neg.f64 a)) |
(-.f64 a (neg.f64 b)) |
(+.f64 b (neg.f64 (neg.f64 a))) |
(+.f64 b a) |
(+.f64 a b) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a eps) (*.f64 b eps))) (*.f64 b eps)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b eps) (*.f64 a eps))) (*.f64 a eps)) |
(*.f64 (+.f64 b a) eps) |
(*.f64 eps (+.f64 b a)) |
(/.f64 (-.f64 (*.f64 (*.f64 b eps) (*.f64 b eps)) (*.f64 (*.f64 a eps) (*.f64 a eps))) (-.f64 (*.f64 b eps) (*.f64 a eps))) |
(/.f64 (-.f64 (*.f64 (*.f64 a eps) (*.f64 a eps)) (*.f64 (*.f64 b eps) (*.f64 b eps))) (-.f64 (*.f64 a eps) (*.f64 b eps))) |
(/.f64 (+.f64 (pow.f64 (*.f64 b eps) #s(literal 3 binary64)) (pow.f64 (*.f64 a eps) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 b eps) (*.f64 b eps)) (-.f64 (*.f64 (*.f64 a eps) (*.f64 a eps)) (*.f64 (*.f64 b eps) (*.f64 a eps))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 a eps) #s(literal 3 binary64)) (pow.f64 (*.f64 b eps) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 a eps) (*.f64 a eps)) (-.f64 (*.f64 (*.f64 b eps) (*.f64 b eps)) (*.f64 (*.f64 a eps) (*.f64 b eps))))) |
(neg.f64 (*.f64 (-.f64 (neg.f64 b) a) eps)) |
(-.f64 (*.f64 b eps) (*.f64 (neg.f64 a) eps)) |
(-.f64 (*.f64 a eps) (*.f64 (neg.f64 b) eps)) |
(+.f64 (*.f64 b eps) (*.f64 a eps)) |
(+.f64 (*.f64 a eps) (*.f64 b eps)) |
(*.f64 (sqrt.f64 (neg.f64 (exp.f64 (*.f64 (+.f64 b a) eps)))) (sqrt.f64 (neg.f64 (exp.f64 (*.f64 (+.f64 b a) eps))))) |
(*.f64 (pow.f64 (neg.f64 (exp.f64 (*.f64 (+.f64 b a) eps))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (exp.f64 (*.f64 (+.f64 b a) eps))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) (sinh.f64 (*.f64 (+.f64 b a) eps)))) (sinh.f64 (*.f64 (+.f64 b a) eps))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (*.f64 (-.f64 (neg.f64 b) a) eps)) (cosh.f64 (*.f64 (+.f64 b a) eps)))) (cosh.f64 (*.f64 (+.f64 b a) eps))) |
(*.f64 (pow.f64 (exp.f64 eps) (/.f64 (+.f64 b a) #s(literal 2 binary64))) (pow.f64 (exp.f64 eps) (/.f64 (+.f64 b a) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 b a) eps))) (sqrt.f64 (exp.f64 (*.f64 (+.f64 b a) eps)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) (cosh.f64 (*.f64 (+.f64 b a) eps)))) (cosh.f64 (*.f64 (+.f64 b a) eps))) |
(*.f64 (pow.f64 (exp.f64 (+.f64 b a)) (/.f64 eps #s(literal 2 binary64))) (pow.f64 (exp.f64 (+.f64 b a)) (/.f64 eps #s(literal 2 binary64)))) |
(*.f64 (exp.f64 (*.f64 b eps)) (pow.f64 (exp.f64 eps) (neg.f64 (neg.f64 a)))) |
(*.f64 (exp.f64 (*.f64 b eps)) (exp.f64 (*.f64 a eps))) |
(*.f64 (exp.f64 (*.f64 a eps)) (exp.f64 (*.f64 b eps))) |
(pow.f64 (exp.f64 (*.f64 (*.f64 (*.f64 (+.f64 b a) eps) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) (/.f64 eps #s(literal 2 binary64))) |
(pow.f64 (exp.f64 (*.f64 (+.f64 b a) (+.f64 eps eps))) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 eps) (+.f64 b a)) |
(pow.f64 (exp.f64 (+.f64 b a)) eps) |
(/.f64 (fabs.f64 (+.f64 (*.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps))))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (+.f64 (*.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (+.f64 b a) eps))))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (+.f64 b a) eps))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps))) #s(literal 2 binary64)))) #s(literal 4 binary64)) |
(/.f64 (fabs.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (+.f64 b a) eps))) #s(literal 2 binary64)))) #s(literal 4 binary64)) |
(/.f64 (fabs.f64 (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (+.f64 b a) eps))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps))))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (+.f64 b a) eps))))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (+.f64 b a) eps))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps)))))) #s(literal 4 binary64)) |
(/.f64 (fabs.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (+.f64 b a) eps)))))) #s(literal 4 binary64)) |
(/.f64 (+.f64 (*.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (*.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (+.f64 b a) eps)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (+.f64 b a) eps))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps))) #s(literal 2 binary64))) #s(literal 4 binary64)) |
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (+.f64 b a) eps))) #s(literal 2 binary64))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) (sinh.f64 (*.f64 (+.f64 b a) eps))) (*.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) (cosh.f64 (*.f64 (+.f64 b a) eps)))) (-.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) (cosh.f64 (*.f64 (+.f64 b a) eps)))) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) (cosh.f64 (*.f64 (+.f64 b a) eps))) (*.f64 (sinh.f64 (*.f64 (-.f64 (neg.f64 b) a) eps)) (sinh.f64 (*.f64 (-.f64 (neg.f64 b) a) eps)))) (exp.f64 (*.f64 (-.f64 (neg.f64 b) a) eps))) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 3 binary64))) (+.f64 (*.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) (sinh.f64 (*.f64 (+.f64 b a) eps))) (-.f64 (*.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) (cosh.f64 (*.f64 (+.f64 b a) eps))) (*.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) (cosh.f64 (*.f64 (+.f64 b a) eps)))))) |
(/.f64 (-.f64 (pow.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (-.f64 (neg.f64 b) a) eps)) #s(literal 3 binary64))) (+.f64 (*.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) (cosh.f64 (*.f64 (+.f64 b a) eps))) (+.f64 (*.f64 (sinh.f64 (*.f64 (-.f64 (neg.f64 b) a) eps)) (sinh.f64 (*.f64 (-.f64 (neg.f64 b) a) eps))) (*.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) (sinh.f64 (*.f64 (-.f64 (neg.f64 b) a) eps)))))) |
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (+.f64 b a) eps))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (+.f64 b a) eps)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (+.f64 b a) eps))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps))))) #s(literal 4 binary64)) |
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (+.f64 b a) eps))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) (cosh.f64 (*.f64 (+.f64 b a) eps))) (*.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) (sinh.f64 (*.f64 (+.f64 b a) eps)))) (exp.f64 (*.f64 (-.f64 (neg.f64 b) a) eps))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 3 binary64))) (+.f64 (*.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) (cosh.f64 (*.f64 (+.f64 b a) eps))) (-.f64 (*.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) (sinh.f64 (*.f64 (+.f64 b a) eps))) (*.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) (sinh.f64 (*.f64 (+.f64 b a) eps)))))) |
(/.f64 (exp.f64 (*.f64 b eps)) (exp.f64 (*.f64 (neg.f64 a) eps))) |
(/.f64 (exp.f64 (*.f64 a eps)) (exp.f64 (*.f64 (neg.f64 b) eps))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 eps) (-.f64 (neg.f64 a) b))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 (neg.f64 b) a) eps))) |
(neg.f64 (neg.f64 (exp.f64 (*.f64 (+.f64 b a) eps)))) |
(-.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) (neg.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)))) |
(-.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) (sinh.f64 (*.f64 (-.f64 (neg.f64 b) a) eps))) |
(sqrt.f64 (exp.f64 (*.f64 (+.f64 b a) (+.f64 eps eps)))) |
(fabs.f64 (-.f64 (neg.f64 (cosh.f64 (*.f64 (+.f64 b a) eps))) (sinh.f64 (*.f64 (+.f64 b a) eps)))) |
(fabs.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 b eps))) (neg.f64 (exp.f64 (*.f64 a eps))))) |
(fabs.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 b eps))) (exp.f64 (*.f64 a eps)))) |
(fabs.f64 (*.f64 (exp.f64 (*.f64 b eps)) (neg.f64 (exp.f64 (*.f64 a eps))))) |
(fabs.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 a eps))) (neg.f64 (exp.f64 (*.f64 b eps))))) |
(fabs.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 a eps))) (exp.f64 (*.f64 b eps)))) |
(fabs.f64 (*.f64 (exp.f64 (*.f64 a eps)) (neg.f64 (exp.f64 (*.f64 b eps))))) |
(fabs.f64 (neg.f64 (exp.f64 (*.f64 (+.f64 b a) eps)))) |
(fabs.f64 (exp.f64 (*.f64 (+.f64 b a) eps))) |
(exp.f64 (/.f64 (+.f64 (*.f64 (+.f64 b a) eps) (*.f64 (+.f64 b a) eps)) #s(literal 2 binary64))) |
(exp.f64 (/.f64 (*.f64 (*.f64 (+.f64 b a) eps) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (+.f64 (*.f64 (+.f64 b a) eps) (*.f64 (+.f64 b a) eps)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 (+.f64 b a) eps) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 (+.f64 b a) (+.f64 eps eps)))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 eps)) (+.f64 b a))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 b a))) eps)) |
(exp.f64 (*.f64 (+.f64 b a) eps)) |
(+.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) (cosh.f64 (*.f64 (+.f64 b a) eps))) |
(+.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) (sinh.f64 (*.f64 (+.f64 b a) eps))) |
#s(literal 1 binary64) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) (cosh.f64 (*.f64 (+.f64 b a) eps)))) (cosh.f64 (*.f64 (+.f64 b a) eps))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (+.f64 b a) eps)))) (exp.f64 (*.f64 (+.f64 b a) eps))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 (neg.f64 b) a) eps))) (exp.f64 (*.f64 (+.f64 b a) eps))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 b a) (+.f64 eps eps)))) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (+.f64 b a) eps)))) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) (cosh.f64 (*.f64 (+.f64 b a) eps))) (*.f64 (-.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) (-.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)))) (-.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) (-.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (pow.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (-.f64 (exp.f64 (*.f64 (+.f64 b a) (+.f64 eps eps))) (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (+.f64 b a) eps)))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) (cosh.f64 (*.f64 (+.f64 b a) eps))) (-.f64 (*.f64 (-.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) (-.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64))) (*.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) (-.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (exp.f64 (*.f64 (+.f64 b a) (+.f64 eps eps))) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 b a) (+.f64 eps eps))) (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (exp.f64 (*.f64 (+.f64 b a) (+.f64 eps eps))) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 b a) (+.f64 eps eps))) (+.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64))))) |
(neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 b a) eps)))) |
(-.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps))) (sinh.f64 (*.f64 (-.f64 (neg.f64 b) a) eps))) |
(-.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (+.f64 b a) eps)))) |
(-.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) (-.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps)))) |
(-.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) (-.f64 (sinh.f64 (*.f64 (-.f64 (neg.f64 b) a) eps)) #s(literal -1 binary64))) |
(-.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) (+.f64 (sinh.f64 (*.f64 (-.f64 (neg.f64 b) a) eps)) #s(literal 1 binary64))) |
(-.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) (neg.f64 (-.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)))) |
(-.f64 (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) |
(+.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps))) (sinh.f64 (*.f64 (+.f64 b a) eps))) |
(+.f64 (-.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) (cosh.f64 (*.f64 (+.f64 b a) eps))) |
(+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (+.f64 b a) eps))) |
(+.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) (+.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) #s(literal -1 binary64))) |
(+.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) (-.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64))) |
(+.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) (-.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64))) |
(+.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 eps) (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps))) (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps)) |
(*.f64 (neg.f64 (neg.f64 eps)) (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 eps) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 b a) eps)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 b a) eps))) (neg.f64 eps)) |
(*.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) eps) #s(literal 1 binary64)) |
(*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) (*.f64 eps #s(literal 1 binary64))) |
(*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) (neg.f64 (neg.f64 eps))) |
(*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) eps) |
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) eps)) |
(*.f64 eps (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) eps) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps)) (*.f64 (neg.f64 eps) (neg.f64 eps))) (-.f64 (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps) (neg.f64 eps))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps) #s(literal 3 binary64)) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps)) (-.f64 (*.f64 (neg.f64 eps) (neg.f64 eps)) (*.f64 (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps) (neg.f64 eps))))) |
(neg.f64 (*.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) eps) #s(literal -1 binary64))) |
(neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 b a) eps))) eps) #s(literal 1 binary64))) |
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 b a) eps))) eps)) |
(-.f64 (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (neg.f64 eps) #s(literal -1 binary64))) |
(-.f64 (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 #s(literal 1 binary64) eps)) |
(-.f64 (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps) (neg.f64 (neg.f64 eps))) |
(+.f64 (*.f64 eps (cosh.f64 (*.f64 (+.f64 b a) eps))) (*.f64 eps (-.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (-.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) eps)) |
(+.f64 (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps) (neg.f64 eps)) |
(+.f64 (neg.f64 eps) (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps)) |
(+.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) eps) (*.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) eps) #s(literal 0 binary64))) |
(+.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) eps) (*.f64 #s(literal 0 binary64) (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) eps))) |
(*.f64 a eps) |
(*.f64 eps a) |
(*.f64 (sqrt.f64 (neg.f64 (exp.f64 (*.f64 a eps)))) (sqrt.f64 (neg.f64 (exp.f64 (*.f64 a eps))))) |
(*.f64 (pow.f64 (neg.f64 (exp.f64 (*.f64 a eps))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (exp.f64 (*.f64 a eps))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (exp.f64 (*.f64 a eps)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (*.f64 a eps)) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 a eps)) (sinh.f64 (*.f64 a eps)))) (sinh.f64 (*.f64 a eps))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (*.f64 (neg.f64 a) eps)) (cosh.f64 (*.f64 a eps)))) (cosh.f64 (*.f64 a eps))) |
(*.f64 (pow.f64 (exp.f64 eps) (/.f64 a #s(literal 2 binary64))) (pow.f64 (exp.f64 eps) (/.f64 a #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (exp.f64 (*.f64 a eps))) (sqrt.f64 (exp.f64 (*.f64 a eps)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (*.f64 a eps)) (cosh.f64 (*.f64 a eps)))) (cosh.f64 (*.f64 a eps))) |
(*.f64 (pow.f64 (exp.f64 a) (/.f64 eps #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (/.f64 eps #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 (*.f64 (*.f64 (*.f64 a eps) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (+.f64 a a)) (/.f64 eps #s(literal 2 binary64))) |
(pow.f64 (exp.f64 (*.f64 eps (+.f64 a a))) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 eps) a) |
(pow.f64 (exp.f64 a) eps) |
(/.f64 (fabs.f64 (+.f64 (*.f64 (sinh.f64 (*.f64 a eps)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 a eps))))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (+.f64 (*.f64 (cosh.f64 (*.f64 a eps)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 a eps))))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 a eps))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 a eps))) #s(literal 2 binary64)))) #s(literal 4 binary64)) |
(/.f64 (fabs.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 a eps))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 a eps))) #s(literal 2 binary64)))) #s(literal 4 binary64)) |
(/.f64 (fabs.f64 (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 a eps))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 a eps))))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 a eps))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 a eps))))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 a eps))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 a eps)))))) #s(literal 4 binary64)) |
(/.f64 (fabs.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 a eps))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 a eps)))))) #s(literal 4 binary64)) |
(/.f64 (+.f64 (*.f64 (sinh.f64 (*.f64 a eps)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 a eps)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (*.f64 (cosh.f64 (*.f64 a eps)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 a eps)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 a eps))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 a eps))) #s(literal 2 binary64))) #s(literal 4 binary64)) |
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 a eps))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 a eps))) #s(literal 2 binary64))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (sinh.f64 (*.f64 a eps)) (sinh.f64 (*.f64 a eps))) (*.f64 (cosh.f64 (*.f64 a eps)) (cosh.f64 (*.f64 a eps)))) (-.f64 (sinh.f64 (*.f64 a eps)) (cosh.f64 (*.f64 a eps)))) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 a eps)) (cosh.f64 (*.f64 a eps))) (*.f64 (sinh.f64 (*.f64 (neg.f64 a) eps)) (sinh.f64 (*.f64 (neg.f64 a) eps)))) (exp.f64 (*.f64 (neg.f64 a) eps))) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 a eps)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 a eps)) #s(literal 3 binary64))) (+.f64 (*.f64 (sinh.f64 (*.f64 a eps)) (sinh.f64 (*.f64 a eps))) (-.f64 (*.f64 (cosh.f64 (*.f64 a eps)) (cosh.f64 (*.f64 a eps))) (*.f64 (sinh.f64 (*.f64 a eps)) (cosh.f64 (*.f64 a eps)))))) |
(/.f64 (-.f64 (pow.f64 (cosh.f64 (*.f64 a eps)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (neg.f64 a) eps)) #s(literal 3 binary64))) (+.f64 (*.f64 (cosh.f64 (*.f64 a eps)) (cosh.f64 (*.f64 a eps))) (+.f64 (*.f64 (sinh.f64 (*.f64 (neg.f64 a) eps)) (sinh.f64 (*.f64 (neg.f64 a) eps))) (*.f64 (cosh.f64 (*.f64 a eps)) (sinh.f64 (*.f64 (neg.f64 a) eps)))))) |
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 a eps))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 a eps)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 a eps))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 a eps)))) #s(literal 2 binary64)) |
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(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) (/.f64 eps (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) (/.f64 eps (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) (/.f64 eps (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) (/.f64 eps (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) (/.f64 eps (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) (/.f64 eps (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 b a) eps))) (/.f64 eps (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b eps)))) |
(/.f64 (*.f64 (/.f64 eps (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))) (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b eps))))) |
(/.f64 (*.f64 (/.f64 eps (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))) (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b eps))) #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 eps (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))) (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (/.f64 eps (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))) (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 eps (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))) (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 b a) eps))) eps) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) eps) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b eps))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) (/.f64 eps (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b eps))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 b a) eps))) (/.f64 eps (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)) (*.f64 (/.f64 eps (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))) (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 b a) eps))) eps))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b eps)))) (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) eps))) |
(neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 b a) eps))) (/.f64 eps (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b eps)))))) |
(neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 b a) eps))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b eps))))) eps)) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 b a) eps))) eps))) |
(neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 b a) eps))) eps) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b eps)))))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (neg.f64 eps))) |
(+.f64 (*.f64 (/.f64 eps (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (*.f64 (/.f64 eps (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 eps (/.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b eps)))))) (*.f64 eps (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b eps))))))) |
(+.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))) (*.f64 (neg.f64 eps) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))))) |
(+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) (/.f64 eps (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) (/.f64 eps (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b eps))))) eps) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b eps))))) eps)) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b eps))))) (/.f64 eps (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))) |
Compiled 19 486 to 2 750 computations (85.9% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 519 | 4 | 523 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 520 | 4 | 524 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 63.6% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) |
| ▶ | 54.1% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) |
| ▶ | 45.2% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
| ▶ | 13.9% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
Compiled 162 to 103 computations (36.4% saved)
| Inputs |
|---|
1/2 |
2 |
1 |
| Outputs |
|---|
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
| 0.0ms | 1× | 0 | valid |
Compiled 5 to 5 computations (0.0% saved)
adjust: 0.0ms (0.0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 504 | 3541 |
| 1× | iter-limit |
| Inputs |
|---|
eps |
a |
b |
#s(literal 1/2 binary64) |
(+.f64 a b) |
#s(literal 2 binary64) |
(pow.f64 (+.f64 a b) #s(literal 2 binary64)) |
(*.f64 a b) |
(/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) |
(pow.f64 b #s(literal 2 binary64)) |
(*.f64 a (pow.f64 b #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) |
(pow.f64 a #s(literal 2 binary64)) |
(*.f64 (pow.f64 a #s(literal 2 binary64)) b) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) |
(*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) |
(*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) |
(/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) |
(*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 #s(literal 1 binary64) b) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 (+.f64 a b) (*.f64 a b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) |
| Outputs |
|---|
#s(approx a a) |
#s(approx (+ a b) b) |
#s(approx (+ a b) (+.f64 a b)) |
#s(approx (pow (+ a b) 2) (pow.f64 b #s(literal 2 binary64))) |
#s(approx (pow (+ a b) 2) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) (pow.f64 b #s(literal 2 binary64)))) |
#s(approx (pow (+ a b) 2) (+.f64 (*.f64 a (+.f64 a (*.f64 #s(literal 2 binary64) b))) (pow.f64 b #s(literal 2 binary64)))) |
#s(approx (* a b) (*.f64 a b)) |
#s(approx (/ (pow (+ a b) 2) (* a b)) (/.f64 b a)) |
#s(approx (/ (pow (+ a b) 2) (* a b)) (/.f64 (+.f64 b (*.f64 #s(literal 2 binary64) a)) a)) |
#s(approx (/ (pow (+ a b) 2) (* a b)) (/.f64 (+.f64 b (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))) a)) |
#s(approx (* 1/2 (/ (pow (+ a b) 2) (* a b))) (*.f64 #s(literal 1/2 binary64) (/.f64 b a))) |
#s(approx (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) b)) a)) |
#s(approx (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))))) a)) |
#s(approx (* a (pow b 2)) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) |
#s(approx (* 1/2 (* a (pow b 2))) (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))))) |
#s(approx (pow a 2) (pow.f64 a #s(literal 2 binary64))) |
#s(approx (* (pow a 2) b) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)) |
#s(approx (* 1/2 (* (pow a 2) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) |
#s(approx (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 2 binary64)))))) |
#s(approx (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64))))) |
#s(approx (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64))) (*.f64 a (pow.f64 b #s(literal 2 binary64)))))) |
#s(approx (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64))) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a b)) (pow.f64 b #s(literal 2 binary64))))))) |
#s(approx (* (pow a 2) (pow b 2)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) |
#s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) |
#s(approx (/ 1 a) (/.f64 #s(literal 1 binary64) a)) |
#s(approx (+ (/ 1 a) (/ 1 b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps)))) a)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (+.f64 (*.f64 a (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps))))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)))) a)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (+.f64 (*.f64 a (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (*.f64 a (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps))))))))))))) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps))))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)))) a)) |
#s(approx (+ a b) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))) |
#s(approx (pow (+ a b) 2) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 b a))))) |
#s(approx (pow (+ a b) 2) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 b a)) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))) |
#s(approx (/ (pow (+ a b) 2) (* a b)) (/.f64 a b)) |
#s(approx (/ (pow (+ a b) 2) (* a b)) (*.f64 a (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (pow (+ a b) 2) (* a b)) (*.f64 a (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) a)) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (pow.f64 a #s(literal 2 binary64))))))) |
#s(approx (* 1/2 (/ (pow (+ a b) 2) (* a b))) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))) |
#s(approx (* 1/2 (/ (pow (+ a b) 2) (* a b))) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b))))) |
#s(approx (* 1/2 (/ (pow (+ a b) 2) (* a b))) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b (pow.f64 a #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)))))) |
#s(approx (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) a))))) |
#s(approx (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b))) |
#s(approx (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (*.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 b #s(literal 2 binary64)) a)))) |
#s(approx (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (*.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) b) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 2 binary64)))) (/.f64 (pow.f64 b #s(literal 2 binary64)) a))))) |
#s(approx (+ (/ 1 a) (/ 1 b)) (/.f64 #s(literal 1 binary64) b)) |
#s(approx (+ (/ 1 a) (/ 1 b)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))) |
#s(approx (+ a b) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64))))) |
#s(approx (pow (+ a b) 2) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) b) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) a))) a))))) |
#s(approx (/ (pow (+ a b) 2) (* a b)) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 b a)) a)) (/.f64 #s(literal 1 binary64) b))))) |
#s(approx (* 1/2 (/ (pow (+ a b) 2) (* a b))) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 b a))) a)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)))))) |
#s(approx (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) a)) (*.f64 #s(literal -1/2 binary64) b))))) |
#s(approx (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 2 binary64))) a)) (*.f64 #s(literal -1/2 binary64) b))))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 eps (-.f64 b (*.f64 #s(literal -1 binary64) a)))) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))) |
#s(approx (pow (+ a b) 2) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) (pow.f64 a #s(literal 2 binary64)))) |
#s(approx (pow (+ a b) 2) (+.f64 (*.f64 b (+.f64 b (*.f64 #s(literal 2 binary64) a))) (pow.f64 a #s(literal 2 binary64)))) |
#s(approx (/ (pow (+ a b) 2) (* a b)) (/.f64 (+.f64 a (*.f64 #s(literal 2 binary64) b)) b)) |
#s(approx (/ (pow (+ a b) 2) (* a b)) (/.f64 (+.f64 a (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 b a)))) b)) |
#s(approx (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) a)) b)) |
#s(approx (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 b a))))) b)) |
#s(approx (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))) |
#s(approx (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 3 binary64))) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) |
#s(approx (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 3 binary64))) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a b)) (pow.f64 a #s(literal 2 binary64))))))) |
#s(approx (+ (/ 1 a) (/ 1 b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps)))) b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (+.f64 (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps))))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)))) b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (+.f64 (*.f64 b (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))) (*.f64 b (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))) (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps))))))))))))) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps))))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)))) b)) |
#s(approx (+ a b) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))) |
#s(approx (pow (+ a b) 2) (*.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 a b))))) |
#s(approx (pow (+ a b) 2) (*.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 a b)) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) |
#s(approx (/ (pow (+ a b) 2) (* a b)) (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) b))))) |
#s(approx (/ (pow (+ a b) 2) (* a b)) (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) b)) (/.f64 a (pow.f64 b #s(literal 2 binary64))))))) |
#s(approx (* 1/2 (/ (pow (+ a b) 2) (* a b))) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (* 1/2 (/ (pow (+ a b) 2) (* a b))) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (pow.f64 b #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) b))))) |
#s(approx (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) b))))) |
#s(approx (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (*.f64 (pow.f64 b #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 (pow.f64 a #s(literal 2 binary64)) b)))) |
#s(approx (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (*.f64 (pow.f64 b #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) a) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (pow.f64 a #s(literal 2 binary64)) b))))) |
#s(approx (+ a b) (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) #s(literal 1 binary64))))) |
#s(approx (pow (+ a b) 2) (*.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) b))) b))))) |
#s(approx (/ (pow (+ a b) 2) (* a b)) (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 a b)) b)) (/.f64 #s(literal 1 binary64) a))))) |
#s(approx (* 1/2 (/ (pow (+ a b) 2) (* a b))) (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))) b)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)))))) |
#s(approx (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 b #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) b)) (*.f64 #s(literal -1/2 binary64) a))))) |
#s(approx (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 b #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 3 binary64)) b)) (pow.f64 a #s(literal 2 binary64))) b)) (*.f64 #s(literal -1/2 binary64) a))))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 eps (-.f64 a (*.f64 #s(literal -1 binary64) b)))) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))) |
#s(approx eps eps) |
#s(approx (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) |
#s(approx (+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b))) (+.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (*.f64 a b))) (+.f64 (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b)) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 a b)))))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (*.f64 a b))) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 4 binary64)) (*.f64 a b))) (+.f64 (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 b #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) b)) (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 2 binary64)))))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b)) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 a b)) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (*.f64 a b))) (+.f64 (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b)) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 a b))))) (*.f64 a b))))))) (+.f64 (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b)) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 a b)))))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b))) (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a eps)) (/.f64 #s(literal 1 binary64) (*.f64 b eps)))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) |
#s(approx (+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b))) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) eps)))))) |
9 calls:
| Time | Variable | Point |
|---|---|---|
| 14.0ms | a | -inf |
| 14.0ms | a | inf |
| 8.0ms | b | -inf |
| 8.0ms | b | inf |
| 7.0ms | a | 0 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 446 |
| 0 | 67 | 420 |
| 1 | 361 | 370 |
| 2 | 1840 | 370 |
| 0 | 4330 | 370 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
eps |
a |
b |
#s(literal 1/2 binary64) |
(+.f64 a b) |
#s(literal 2 binary64) |
(pow.f64 (+.f64 a b) #s(literal 2 binary64)) |
(*.f64 a b) |
(/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) |
(pow.f64 b #s(literal 2 binary64)) |
(*.f64 a (pow.f64 b #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) |
(pow.f64 a #s(literal 2 binary64)) |
(*.f64 (pow.f64 a #s(literal 2 binary64)) b) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) |
(*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) |
(*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) |
(/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) |
(*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 #s(literal 1 binary64) b) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 (+.f64 a b) (*.f64 a b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) |
| Outputs |
|---|
eps |
a |
b |
#s(literal 1/2 binary64) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) b) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) a)) a) |
(*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) a) |
(*.f64 #s(literal 1 binary64) (+.f64 b a)) |
(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 b a)) |
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (*.f64 b b) (-.f64 (*.f64 a a) (*.f64 b a)))) |
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (neg.f64 b) #s(literal 3 binary64))) (+.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 (neg.f64 a) b)))) |
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (+.f64 a (neg.f64 b))) |
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b)) |
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (*.f64 a a) (-.f64 (*.f64 b b) (*.f64 b a)))) |
(neg.f64 (-.f64 (neg.f64 b) a)) |
(-.f64 b (*.f64 #s(literal -1 binary64) a)) |
(-.f64 b (*.f64 (neg.f64 a) #s(literal 1 binary64))) |
(-.f64 b (neg.f64 a)) |
(-.f64 a (neg.f64 b)) |
(+.f64 b a) |
(+.f64 a (neg.f64 (neg.f64 b))) |
(+.f64 a b) |
#s(literal 2 binary64) |
(*.f64 (fabs.f64 (fabs.f64 (+.f64 b a))) (fabs.f64 (fabs.f64 (+.f64 b a)))) |
(*.f64 (neg.f64 (fabs.f64 (+.f64 b a))) (neg.f64 (fabs.f64 (+.f64 b a)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (+.f64 b a) (+.f64 b a))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (-.f64 (*.f64 a a) (*.f64 #s(literal -2 binary64) (*.f64 b a))))) (-.f64 (*.f64 a a) (*.f64 #s(literal -2 binary64) (*.f64 b a)))) |
(*.f64 (fabs.f64 (+.f64 b a)) (fabs.f64 (+.f64 b a))) |
(*.f64 (pow.f64 (+.f64 b a) #s(literal 1 binary64)) (pow.f64 (+.f64 b a) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 b a) #s(literal 1 binary64)) (+.f64 b a)) |
(*.f64 (pow.f64 (+.f64 b a) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (+.f64 b a) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (neg.f64 b) a) (-.f64 (neg.f64 b) a)) |
(*.f64 (+.f64 b a) (+.f64 b a)) |
(pow.f64 (fabs.f64 (+.f64 b a)) #s(literal 2 binary64)) |
(pow.f64 (-.f64 (neg.f64 b) a) #s(literal 2 binary64)) |
(pow.f64 (+.f64 b a) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 #s(literal -2 binary64) (*.f64 b a))) (-.f64 (*.f64 a a) (*.f64 #s(literal -2 binary64) (*.f64 b a)))) (*.f64 (*.f64 b b) (*.f64 b b))) (-.f64 (-.f64 (*.f64 a a) (*.f64 #s(literal -2 binary64) (*.f64 b a))) (*.f64 b b))) |
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 #s(literal -2 binary64) (*.f64 b a))) #s(literal 3 binary64)) (pow.f64 (*.f64 b b) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 #s(literal -2 binary64) (*.f64 b a))) (-.f64 (*.f64 a a) (*.f64 #s(literal -2 binary64) (*.f64 b a)))) (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (-.f64 (*.f64 a a) (*.f64 #s(literal -2 binary64) (*.f64 b a))) (*.f64 b b))))) |
(/.f64 (pow.f64 (+.f64 b a) #s(literal 1 binary64)) (pow.f64 (+.f64 b a) #s(literal -1 binary64))) |
(-.f64 (-.f64 (*.f64 a a) (*.f64 #s(literal -2 binary64) (*.f64 b a))) (*.f64 (neg.f64 b) b)) |
(-.f64 (-.f64 (*.f64 a a) (*.f64 #s(literal -2 binary64) (*.f64 b a))) (neg.f64 (*.f64 b b))) |
(fabs.f64 (*.f64 (+.f64 b a) (+.f64 b a))) |
(exp.f64 (*.f64 (log.f64 (+.f64 b a)) #s(literal 2 binary64))) |
(+.f64 (*.f64 (+.f64 b a) b) (*.f64 (+.f64 b a) a)) |
(+.f64 (*.f64 (+.f64 b a) a) (*.f64 (+.f64 b a) b)) |
(+.f64 (*.f64 b (+.f64 b a)) (*.f64 a (+.f64 b a))) |
(+.f64 (*.f64 a (+.f64 b a)) (*.f64 b (+.f64 b a))) |
(+.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 b a) #s(literal 2 binary64))) (*.f64 a a)) |
(+.f64 (-.f64 (*.f64 a a) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 a) b))) (*.f64 b b)) |
(+.f64 (-.f64 (*.f64 a a) (*.f64 #s(literal -2 binary64) (*.f64 b a))) (*.f64 b b)) |
(+.f64 (*.f64 a a) (+.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) (*.f64 b b))) |
(+.f64 (*.f64 b b) (-.f64 (*.f64 a a) (*.f64 #s(literal -2 binary64) (*.f64 b a)))) |
(*.f64 b a) |
(*.f64 a b) |
(*.f64 (/.f64 (+.f64 b a) b) (/.f64 (+.f64 b a) a)) |
(*.f64 (/.f64 (+.f64 b a) a) (/.f64 (+.f64 b a) b)) |
(*.f64 (*.f64 (+.f64 b a) (/.f64 (+.f64 b a) a)) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 (+.f64 b a) (+.f64 b a))) |
(*.f64 (*.f64 (-.f64 (neg.f64 b) a) (+.f64 b a)) (/.f64 #s(literal -1 binary64) (*.f64 b a))) |
(*.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 (+.f64 b a) (/.f64 (+.f64 b a) (*.f64 b a))) |
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 #s(literal -2 binary64) (*.f64 b a))) (*.f64 b a)) (*.f64 (*.f64 b a) (*.f64 b b))) (*.f64 (*.f64 (*.f64 a a) b) b)) |
(/.f64 (*.f64 (*.f64 (-.f64 (neg.f64 b) a) (+.f64 b a)) #s(literal -1 binary64)) (*.f64 (neg.f64 a) (neg.f64 b))) |
(/.f64 (*.f64 (*.f64 (-.f64 (neg.f64 b) a) (+.f64 b a)) #s(literal 1 binary64)) (*.f64 (neg.f64 a) (neg.f64 (neg.f64 b)))) |
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(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 a a) b) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) (/.f64 (+.f64 b a) (*.f64 a a)))) (*.f64 b b)) |
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(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 a a) b) b))) (*.f64 (*.f64 (+.f64 b a) #s(literal 1/2 binary64)) (+.f64 (*.f64 (*.f64 a a) b) (*.f64 (*.f64 b b) a))))) (neg.f64 (*.f64 (*.f64 (*.f64 a a) b) b))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) b) b) (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 a a) b) b))) (*.f64 (*.f64 (+.f64 b a) #s(literal 1/2 binary64)) (+.f64 (*.f64 (*.f64 a a) b) (*.f64 (*.f64 b b) a)))))) |
(neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) (+.f64 b a)) (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 a a) b) b))) (*.f64 (*.f64 (*.f64 a a) b) b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) (+.f64 b a))) |
(-.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) (+.f64 b a))) |
(+.f64 (*.f64 (-.f64 (neg.f64 b) a) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a)))) (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (-.f64 (neg.f64 b) a) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))))) |
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) (+.f64 b a))) eps) |
(*.f64 eps (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) (+.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 eps (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 a a) b) b))) (*.f64 (*.f64 (+.f64 b a) #s(literal 1/2 binary64)) (+.f64 (*.f64 (*.f64 a a) b) (*.f64 (*.f64 b b) a)))))) (neg.f64 (*.f64 (*.f64 (*.f64 a a) b) b))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 a a) b) b))) (*.f64 (*.f64 (+.f64 b a) #s(literal 1/2 binary64)) (+.f64 (*.f64 (*.f64 a a) b) (*.f64 (*.f64 b b) a)))) eps)) (neg.f64 (*.f64 (*.f64 (*.f64 a a) b) b))) |
(/.f64 (*.f64 eps (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 a a) b) b))) (*.f64 (*.f64 (+.f64 b a) #s(literal 1/2 binary64)) (+.f64 (*.f64 (*.f64 a a) b) (*.f64 (*.f64 b b) a))))) (*.f64 (*.f64 (*.f64 a a) b) b)) |
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 a a) b) b))) (*.f64 (*.f64 (+.f64 b a) #s(literal 1/2 binary64)) (+.f64 (*.f64 (*.f64 a a) b) (*.f64 (*.f64 b b) a)))) eps) (*.f64 (*.f64 (*.f64 a a) b) b)) |
(neg.f64 (*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) (+.f64 b a)) (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64))))) |
(neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) (+.f64 b a)) (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64))) eps)) |
(+.f64 (*.f64 eps (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64))) (*.f64 eps (*.f64 (-.f64 (neg.f64 b) a) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a)))))) |
(+.f64 (*.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64)) eps) (*.f64 (*.f64 (-.f64 (neg.f64 b) a) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a)))) eps)) |
#s(literal 1 binary64) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (pow.f64 a (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 a (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)) |
(pow.f64 (neg.f64 (neg.f64 a)) #s(literal -1 binary64)) |
(pow.f64 a #s(literal -1 binary64)) |
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 a) #s(literal 2 binary64))) |
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 a))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 a)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 a)) |
(/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (neg.f64 a)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 a)))) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 a))) |
(/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) a) |
(neg.f64 (/.f64 #s(literal -1 binary64) a)) |
(exp.f64 (*.f64 (log.f64 a) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (pow.f64 b (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 b (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) b)) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) |
(pow.f64 (neg.f64 (neg.f64 b)) #s(literal -1 binary64)) |
(pow.f64 b #s(literal -1 binary64)) |
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 b) #s(literal 2 binary64))) |
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 b))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 b)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 b)) |
(/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (neg.f64 b)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 b #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 b)))) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 b))) |
(/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 b #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) b) |
(neg.f64 (/.f64 #s(literal -1 binary64) b)) |
(exp.f64 (*.f64 (log.f64 b) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 b a)) (/.f64 a (*.f64 b a)))) (/.f64 a (*.f64 b a))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) a))) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (/.f64 (+.f64 b a) a) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (-.f64 (neg.f64 b) a) (/.f64 #s(literal -1 binary64) (*.f64 b a))) |
(*.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) |
(/.f64 (+.f64 (*.f64 (/.f64 b b) a) (*.f64 a (/.f64 a b))) (*.f64 a a)) |
(/.f64 (+.f64 (*.f64 (/.f64 b b) b) (*.f64 a (/.f64 a a))) (*.f64 b a)) |
(/.f64 (+.f64 (*.f64 (/.f64 b b) (*.f64 (neg.f64 a) b)) (*.f64 a (neg.f64 a))) (*.f64 a (*.f64 (neg.f64 a) b))) |
(/.f64 (+.f64 (*.f64 (/.f64 b b) (*.f64 b a)) (*.f64 a a)) (*.f64 (*.f64 a a) b)) |
(/.f64 (+.f64 (*.f64 (/.f64 b a) a) (*.f64 b (/.f64 a b))) (*.f64 b a)) |
(/.f64 (+.f64 (*.f64 (/.f64 b a) b) (*.f64 b (/.f64 a a))) (*.f64 b b)) |
(/.f64 (+.f64 (*.f64 (/.f64 b a) (*.f64 (neg.f64 a) b)) (*.f64 (neg.f64 a) b)) (*.f64 b (*.f64 (neg.f64 a) b))) |
(/.f64 (+.f64 (*.f64 (/.f64 b a) (*.f64 b a)) (*.f64 b a)) (*.f64 (*.f64 b b) a)) |
(/.f64 (+.f64 (*.f64 (neg.f64 a) b) (*.f64 (*.f64 (neg.f64 a) b) (/.f64 a b))) (*.f64 (*.f64 (neg.f64 a) b) a)) |
(/.f64 (+.f64 (*.f64 (neg.f64 b) b) (*.f64 (*.f64 (neg.f64 a) b) (/.f64 a a))) (*.f64 (*.f64 (neg.f64 a) b) b)) |
(/.f64 (+.f64 (*.f64 (neg.f64 b) (*.f64 (neg.f64 a) b)) (*.f64 (*.f64 (neg.f64 a) b) (neg.f64 a))) (*.f64 (*.f64 (*.f64 a a) b) b)) |
(/.f64 (+.f64 (*.f64 (neg.f64 b) (*.f64 b a)) (*.f64 (*.f64 (neg.f64 a) b) a)) (*.f64 (*.f64 (neg.f64 a) b) (*.f64 b a))) |
(/.f64 (+.f64 (*.f64 b a) (*.f64 (*.f64 b a) (/.f64 a b))) (*.f64 (*.f64 a a) b)) |
(/.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 b a) (/.f64 a a))) (*.f64 (*.f64 b b) a)) |
(/.f64 (+.f64 (*.f64 b (*.f64 (neg.f64 a) b)) (*.f64 (*.f64 b a) (neg.f64 a))) (*.f64 (*.f64 b a) (*.f64 (neg.f64 a) b))) |
(/.f64 (+.f64 (*.f64 (/.f64 b b) (neg.f64 b)) (*.f64 a #s(literal -1 binary64))) (*.f64 (neg.f64 a) b)) |
(/.f64 (+.f64 (*.f64 (/.f64 b b) (neg.f64 (neg.f64 b))) a) (*.f64 a (neg.f64 (neg.f64 b)))) |
(/.f64 (+.f64 (*.f64 (/.f64 b b) b) a) (*.f64 b a)) |
(/.f64 (+.f64 (*.f64 (/.f64 b a) (neg.f64 b)) (*.f64 b #s(literal -1 binary64))) (*.f64 b (neg.f64 b))) |
(/.f64 (+.f64 (*.f64 (/.f64 b a) (neg.f64 (neg.f64 b))) b) (*.f64 b (neg.f64 (neg.f64 b)))) |
(/.f64 (+.f64 (*.f64 (/.f64 b a) b) b) (*.f64 b b)) |
(/.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 (neg.f64 a) b) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 a) b) (neg.f64 b))) |
(/.f64 (+.f64 (*.f64 (neg.f64 b) (neg.f64 (neg.f64 b))) (*.f64 (*.f64 (neg.f64 a) b) #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 a) b) (neg.f64 (neg.f64 b)))) |
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(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 b)) (*.f64 a #s(literal -1 binary64)))) (neg.f64 (*.f64 (neg.f64 a) b))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 b a) a))) (neg.f64 (neg.f64 b))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)))) (neg.f64 (neg.f64 b))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 a a) b) (*.f64 (*.f64 b b) a))) (neg.f64 (*.f64 (*.f64 (*.f64 a a) b) b))) |
(/.f64 (*.f64 (+.f64 b a) #s(literal 1 binary64)) (*.f64 a (neg.f64 (neg.f64 b)))) |
(/.f64 (*.f64 (+.f64 b a) #s(literal 1 binary64)) (*.f64 b a)) |
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (neg.f64 a)) #s(literal -1 binary64)) (neg.f64 a)) |
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) a) #s(literal 1 binary64)) a) |
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 b)) #s(literal -1 binary64)) (neg.f64 b)) |
(/.f64 (+.f64 (*.f64 (/.f64 a (*.f64 b a)) (*.f64 b a)) b) (*.f64 b a)) |
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (neg.f64 a)) (*.f64 #s(literal -1 binary64) (neg.f64 b))) (*.f64 (neg.f64 b) (neg.f64 a))) |
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal 1 binary64) (neg.f64 b))) (*.f64 (neg.f64 a) b)) |
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (*.f64 #s(literal -1 binary64) b)) (*.f64 (neg.f64 a) b)) |
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (neg.f64 b)) (*.f64 #s(literal -1 binary64) (neg.f64 a))) (*.f64 (neg.f64 a) (neg.f64 b))) |
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) b) (*.f64 #s(literal 1 binary64) (neg.f64 a))) (*.f64 (neg.f64 a) b)) |
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 b)) (*.f64 #s(literal -1 binary64) a)) (*.f64 (neg.f64 a) b)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b)) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a))) (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))) |
(/.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b a)) (/.f64 a (*.f64 b a))) (*.f64 (/.f64 b (*.f64 b a)) (/.f64 b (*.f64 b a)))) (-.f64 (/.f64 a (*.f64 b a)) (/.f64 b (*.f64 b a)))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a)) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) b))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b)) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 a (*.f64 b a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (*.f64 b a)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 a (*.f64 b a)) (/.f64 a (*.f64 b a))) (-.f64 (*.f64 (/.f64 b (*.f64 b a)) (/.f64 b (*.f64 b a))) (*.f64 (/.f64 a (*.f64 b a)) (/.f64 b (*.f64 b a)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a)) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) b)) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))))) |
(/.f64 (/.f64 (+.f64 b a) b) a) |
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (neg.f64 a)) (*.f64 (neg.f64 b) #s(literal -1 binary64))) (*.f64 (neg.f64 b) (neg.f64 a))) |
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 (neg.f64 b) #s(literal 1 binary64))) (*.f64 (neg.f64 a) b)) |
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (*.f64 b #s(literal -1 binary64))) (*.f64 (neg.f64 a) b)) |
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (neg.f64 b)) (*.f64 (neg.f64 a) #s(literal -1 binary64))) (*.f64 (neg.f64 a) (neg.f64 b))) |
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) b) (*.f64 (neg.f64 a) #s(literal 1 binary64))) (*.f64 (neg.f64 a) b)) |
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 b)) (*.f64 a #s(literal -1 binary64))) (*.f64 (neg.f64 a) b)) |
(/.f64 (neg.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64))) (neg.f64 b)) |
(/.f64 (neg.f64 (/.f64 (+.f64 b a) a)) (neg.f64 b)) |
(/.f64 (/.f64 (+.f64 b a) a) b) |
(/.f64 (+.f64 (*.f64 (*.f64 a a) b) (*.f64 (*.f64 b b) a)) (*.f64 (*.f64 (*.f64 a a) b) b)) |
(/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) b) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a)) (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a)) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) (*.f64 b a))))) |
(/.f64 (-.f64 (neg.f64 b) a) (neg.f64 (neg.f64 (*.f64 (neg.f64 a) b)))) |
(/.f64 (-.f64 (neg.f64 b) a) (*.f64 (neg.f64 a) b)) |
(/.f64 (+.f64 b a) (neg.f64 (*.f64 (neg.f64 a) b))) |
(/.f64 (+.f64 b a) (*.f64 b a)) |
(/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 (/.f64 b a) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (+.f64 b a) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 a) b) (-.f64 (neg.f64 b) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (+.f64 b a))) |
(neg.f64 (/.f64 (-.f64 (neg.f64 b) a) (*.f64 b a))) |
(-.f64 (/.f64 a (*.f64 b a)) (neg.f64 (/.f64 b (*.f64 b a)))) |
(-.f64 (/.f64 a (*.f64 b a)) (/.f64 (neg.f64 b) (*.f64 b a))) |
(-.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a))) |
(-.f64 (/.f64 #s(literal 1 binary64) b) (neg.f64 (/.f64 #s(literal 1 binary64) a))) |
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) |
(+.f64 (/.f64 b (*.f64 b a)) (/.f64 a (*.f64 b a))) |
(+.f64 (/.f64 b (*.f64 b a)) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 a (*.f64 b a)) (/.f64 b (*.f64 b a))) |
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a))) |
Compiled 83 515 to 6 078 computations (92.7% saved)
8 alts after pruning (5 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 019 | 5 | 1 024 |
| Fresh | 0 | 0 | 0 |
| Picked | 4 | 0 | 4 |
| Done | -3 | 3 | 0 |
| Total | 1 020 | 8 | 1 028 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 62.1% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 b a)) (*.f64 a b))) |
| ▶ | 63.2% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) (+.f64 b a))) eps)) b) #s(literal 1 binary64)) b)) |
| ✓ | 63.6% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) |
| ▶ | 63.5% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) a) (*.f64 a b))) |
| ▶ | 27.4% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ a b) b) (*.f64 a b))) |
| ✓ | 54.1% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) |
| ✓ | 45.2% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
| ▶ | 99.9% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
Compiled 588 to 357 computations (39.3% saved)
| Inputs |
|---|
0 |
1 |
-1 |
1/2 |
| Outputs |
|---|
#s(literal 0 binary64) |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
#s(literal 1/2 binary64) |
| 0.0ms | 1× | 0 | valid |
Compiled 6 to 6 computations (0.0% saved)
adjust: 0.0ms (0.0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 474 | 3195 |
| 1× | iter-limit |
| Inputs |
|---|
eps |
a |
b |
#s(literal 0 binary64) |
#s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) |
(*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 #s(literal 1 binary64) b) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (+ a b) b) |
(*.f64 a b) |
(/.f64 #s(approx (+ a b) b) (*.f64 a b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ a b) b) (*.f64 a b))) |
(/.f64 b a) |
#s(literal -1 binary64) |
(-.f64 (/.f64 b a) #s(literal -1 binary64)) |
(*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) a) |
(/.f64 (*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) a) (*.f64 a b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) a) (*.f64 a b))) |
(*.f64 b b) |
(*.f64 a a) |
(-.f64 (*.f64 b b) (*.f64 a a)) |
(-.f64 b a) |
(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 b a)) |
(/.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 b a)) (*.f64 a b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 b a)) (*.f64 a b))) |
(+.f64 b a) |
(*.f64 (+.f64 b a) (+.f64 b a)) |
(*.f64 b a) |
(/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 b a) (*.f64 b a)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) (+.f64 b a)) |
(-.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) (+.f64 b a))) |
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) (+.f64 b a))) eps) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) (+.f64 b a))) eps)) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) (+.f64 b a))) eps)) b) |
(+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) (+.f64 b a))) eps)) b) #s(literal 1 binary64)) |
(/.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) (+.f64 b a))) eps)) b) #s(literal 1 binary64)) b) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) (+.f64 b a))) eps)) b) #s(literal 1 binary64)) b)) |
| Outputs |
|---|
#s(approx a a) |
#s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) |
#s(approx (/ 1 a) (/.f64 #s(literal 1 binary64) a)) |
#s(approx (+ (/ 1 a) (/ 1 b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps)))) a)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (+.f64 (*.f64 a (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps))))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)))) a)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (+.f64 (*.f64 a (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (*.f64 a (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps))))))))))))) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps))))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)))) a)) |
#s(approx (+ a b) b) |
#s(approx (+ a b) (+.f64 a b)) |
#s(approx (* a b) (*.f64 a b)) |
#s(approx (/ b a) (/.f64 b a)) |
#s(approx (- (/ b a) -1) (/.f64 (+.f64 a b) a)) |
#s(approx (* a a) (pow.f64 a #s(literal 2 binary64))) |
#s(approx (- (* b b) (* a a)) (pow.f64 b #s(literal 2 binary64))) |
#s(approx (- (* b b) (* a a)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 2 binary64))) (pow.f64 b #s(literal 2 binary64)))) |
#s(approx (- b a) (+.f64 b (*.f64 #s(literal -1 binary64) a))) |
#s(approx (* (+ b a) (+ b a)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) (pow.f64 b #s(literal 2 binary64)))) |
#s(approx (* (+ b a) (+ b a)) (+.f64 (*.f64 a (+.f64 a (*.f64 #s(literal 2 binary64) b))) (pow.f64 b #s(literal 2 binary64)))) |
#s(approx (/ (* (+ b a) (+ b a)) (* b a)) (/.f64 (+.f64 b (*.f64 #s(literal 2 binary64) a)) a)) |
#s(approx (/ (* (+ b a) (+ b a)) (* b a)) (/.f64 (+.f64 b (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))) a)) |
#s(approx (* (/ (* (+ b a) (+ b a)) (* b a)) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 b a))) |
#s(approx (* (/ (* (+ b a) (+ b a)) (* b a)) 1/2) (/.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) b)) a)) |
#s(approx (* (/ (* (+ b a) (+ b a)) (* b a)) 1/2) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))))) a)) |
#s(approx (* 1/2 (/ (+ b a) (* b a))) (/.f64 #s(literal 1/2 binary64) a)) |
#s(approx (* 1/2 (/ (+ b a) (* b a))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))) a)) |
#s(approx (+ (/ 1 a) (/ 1 b)) (/.f64 #s(literal 1 binary64) b)) |
#s(approx (+ (/ 1 a) (/ 1 b)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))) |
#s(approx (+ a b) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))) |
#s(approx (- (/ b a) -1) #s(literal 1 binary64)) |
#s(approx (- (/ b a) -1) (+.f64 #s(literal 1 binary64) (/.f64 b a))) |
#s(approx (- (* b b) (* a a)) (*.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 2 binary64)))) |
#s(approx (- (* b b) (* a a)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)))) |
#s(approx (- b a) (*.f64 #s(literal -1 binary64) a)) |
#s(approx (- b a) (*.f64 a (-.f64 (/.f64 b a) #s(literal 1 binary64)))) |
#s(approx (* (+ b a) (+ b a)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 b a))))) |
#s(approx (* (+ b a) (+ b a)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 b a)) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))) |
#s(approx (/ (* (+ b a) (+ b a)) (* b a)) (/.f64 a b)) |
#s(approx (/ (* (+ b a) (+ b a)) (* b a)) (*.f64 a (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (* (+ b a) (+ b a)) (* b a)) (*.f64 a (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) a)) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (pow.f64 a #s(literal 2 binary64))))))) |
#s(approx (* (/ (* (+ b a) (+ b a)) (* b a)) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))) |
#s(approx (* (/ (* (+ b a) (+ b a)) (* b a)) 1/2) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b))))) |
#s(approx (* (/ (* (+ b a) (+ b a)) (* b a)) 1/2) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b (pow.f64 a #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)))))) |
#s(approx (* 1/2 (/ (+ b a) (* b a))) (/.f64 #s(literal 1/2 binary64) b)) |
#s(approx (* 1/2 (/ (+ b a) (* b a))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 eps (-.f64 b (*.f64 #s(literal -1 binary64) a)))) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))) |
#s(approx (+ a b) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64))))) |
#s(approx (- b a) (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 b a)))))) |
#s(approx (* (+ b a) (+ b a)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) b) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) a))) a))))) |
#s(approx (/ (* (+ b a) (+ b a)) (* b a)) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 b a)) a)) (/.f64 #s(literal 1 binary64) b))))) |
#s(approx (* (/ (* (+ b a) (+ b a)) (* b a)) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 b a))) a)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)))))) |
#s(approx (+ (/ 1 a) (/ 1 b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps)))) b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (+.f64 (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps))))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)))) b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (+.f64 (*.f64 b (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))) (*.f64 b (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))) (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps))))))))))))) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps))))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)))) b)) |
#s(approx (- (* b b) (* a a)) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) |
#s(approx (- b a) (-.f64 b a)) |
#s(approx (* (+ b a) (+ b a)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) (pow.f64 a #s(literal 2 binary64)))) |
#s(approx (* (+ b a) (+ b a)) (+.f64 (*.f64 b (+.f64 b (*.f64 #s(literal 2 binary64) a))) (pow.f64 a #s(literal 2 binary64)))) |
#s(approx (/ (* (+ b a) (+ b a)) (* b a)) (/.f64 (+.f64 a (*.f64 #s(literal 2 binary64) b)) b)) |
#s(approx (/ (* (+ b a) (+ b a)) (* b a)) (/.f64 (+.f64 a (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 b a)))) b)) |
#s(approx (* (/ (* (+ b a) (+ b a)) (* b a)) 1/2) (/.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) a)) b)) |
#s(approx (* (/ (* (+ b a) (+ b a)) (* b a)) 1/2) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 b a))))) b)) |
#s(approx (* 1/2 (/ (+ b a) (* b a))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 b a))) b)) |
#s(approx (+ a b) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))) |
#s(approx (- (/ b a) -1) (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (- (* b b) (* a a)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) |
#s(approx (- b a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 a b))))) |
#s(approx (* (+ b a) (+ b a)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 a b))))) |
#s(approx (* (+ b a) (+ b a)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 a b)) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) |
#s(approx (/ (* (+ b a) (+ b a)) (* b a)) (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) b))))) |
#s(approx (/ (* (+ b a) (+ b a)) (* b a)) (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) b)) (/.f64 a (pow.f64 b #s(literal 2 binary64))))))) |
#s(approx (* (/ (* (+ b a) (+ b a)) (* b a)) 1/2) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (* (/ (* (+ b a) (+ b a)) (* b a)) 1/2) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (pow.f64 b #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) b))))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 eps (-.f64 a (*.f64 #s(literal -1 binary64) b)))) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))) |
#s(approx (+ a b) (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) #s(literal 1 binary64))))) |
#s(approx (- b a) (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (/.f64 a b) #s(literal 1 binary64))))) |
#s(approx (* (+ b a) (+ b a)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) b))) b))))) |
#s(approx (/ (* (+ b a) (+ b a)) (* b a)) (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 a b)) b)) (/.f64 #s(literal 1 binary64) a))))) |
#s(approx (* (/ (* (+ b a) (+ b a)) (* b a)) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))) b)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)))))) |
#s(approx eps eps) |
#s(approx (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) |
#s(approx (+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b))) (+.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (*.f64 a b))) (+.f64 (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b)) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 a b)))))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (*.f64 a b))) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 4 binary64)) (*.f64 a b))) (+.f64 (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 b #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) b)) (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 2 binary64)))))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b)) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 a b)) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (*.f64 a b))) (+.f64 (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b)) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 a b))))) (*.f64 a b))))))) (+.f64 (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b)) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 a b)))))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b))) (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a eps)) (/.f64 #s(literal 1 binary64) (*.f64 b eps)))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) |
#s(approx (+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b))) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) eps)))))) |
9 calls:
| Time | Variable | Point |
|---|---|---|
| 20.0ms | b | -inf |
| 9.0ms | a | -inf |
| 7.0ms | b | inf |
| 7.0ms | a | inf |
| 6.0ms | a | 0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 756 |
| 0 | 105 | 714 |
| 1 | 656 | 630 |
| 2 | 3389 | 630 |
| 0 | 4012 | 594 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
eps |
a |
b |
#s(literal 0 binary64) |
#s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) |
(*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 #s(literal 1 binary64) b) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (+ a b) b) |
(*.f64 a b) |
(/.f64 #s(approx (+ a b) b) (*.f64 a b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ a b) b) (*.f64 a b))) |
(/.f64 b a) |
#s(literal -1 binary64) |
(-.f64 (/.f64 b a) #s(literal -1 binary64)) |
(*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) a) |
(/.f64 (*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) a) (*.f64 a b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) a) (*.f64 a b))) |
(*.f64 b b) |
(*.f64 a a) |
(-.f64 (*.f64 b b) (*.f64 a a)) |
(-.f64 b a) |
(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 b a)) |
(/.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 b a)) (*.f64 a b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 b a)) (*.f64 a b))) |
(+.f64 b a) |
(*.f64 (+.f64 b a) (+.f64 b a)) |
(*.f64 b a) |
(/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 b a) (*.f64 b a)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) (+.f64 b a)) |
(-.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) (+.f64 b a))) |
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) (+.f64 b a))) eps) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) (+.f64 b a))) eps)) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) (+.f64 b a))) eps)) b) |
(+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) (+.f64 b a))) eps)) b) #s(literal 1 binary64)) |
(/.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) (+.f64 b a))) eps)) b) #s(literal 1 binary64)) b) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) (+.f64 b a))) eps)) b) #s(literal 1 binary64)) b)) |
| Outputs |
|---|
eps |
a |
b |
#s(literal 0 binary64) |
#s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) |
(*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) |
(*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) |
#s(literal 1 binary64) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (pow.f64 a (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 a (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 a))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)) |
(pow.f64 (neg.f64 (neg.f64 a)) #s(literal -1 binary64)) |
(pow.f64 a #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 a))) |
(/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) a) |
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 a))) |
(neg.f64 (/.f64 #s(literal -1 binary64) a)) |
(exp.f64 (*.f64 (log.f64 a) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (pow.f64 b (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 b (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) b)) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) |
(pow.f64 (neg.f64 (neg.f64 b)) #s(literal -1 binary64)) |
(pow.f64 b #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 b))) |
(/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 b #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) b) |
(neg.f64 (/.f64 #s(literal -1 binary64) b)) |
(exp.f64 (*.f64 (log.f64 b) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (*.f64 b a)) (/.f64 b (*.f64 b a)))) (/.f64 b (*.f64 b a))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) a))) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) b) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 a b)) a)) |
(*.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) a) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 a b)) b)) |
(*.f64 (/.f64 (+.f64 b a) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a))) |
(*.f64 (/.f64 a a) (/.f64 (+.f64 b a) (*.f64 b a))) |
(*.f64 (/.f64 a (*.f64 b a)) (-.f64 (/.f64 b a) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (/.f64 a b) (/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) a)) |
(*.f64 (/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) a) (/.f64 a b)) |
(*.f64 (/.f64 (+.f64 b a) a) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 (+.f64 b a) b) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (-.f64 (neg.f64 b) a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) b))) |
(*.f64 (/.f64 (+.f64 b a) (*.f64 b a)) (/.f64 a a)) |
(*.f64 (+.f64 b a) (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) b) a))) |
(*.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 a b)) (*.f64 b a))) |
(*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) b) a))) |
(*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (/.f64 a (*.f64 b a))) |
(*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) |
(*.f64 a (*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))) |
(*.f64 a (/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (*.f64 b a))) |
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(/.f64 (pow.f64 (+.f64 b a) #s(literal 1 binary64)) (pow.f64 (+.f64 b a) #s(literal -1 binary64))) |
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(exp.f64 (*.f64 (log.f64 (+.f64 b a)) #s(literal 2 binary64))) |
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(*.f64 b a) |
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#s(literal 1/2 binary64) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (*.f64 (*.f64 (+.f64 b a) #s(literal 1/2 binary64)) (+.f64 b a)))) |
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(neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) (+.f64 b a))) |
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(+.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps)) (/.f64 b b)) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps)) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps)) (/.f64 b b))) |
(+.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps))) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps) (/.f64 #s(literal 1 binary64) b))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps) (/.f64 (+.f64 b a) (*.f64 b a)))) |
Compiled 50 622 to 4 939 computations (90.2% saved)
7 alts after pruning (3 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 715 | 3 | 718 |
| Fresh | 0 | 0 | 0 |
| Picked | 5 | 0 | 5 |
| Done | -1 | 4 | 3 |
| Total | 719 | 7 | 726 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 63.6% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) |
| ✓ | 27.4% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ a b) b) (*.f64 a b))) |
| ✓ | 54.1% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) |
| ✓ | 45.2% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
| ▶ | 99.8% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (/.f64 (/.f64 (+.f64 b a) a) b))) |
| ▶ | 99.8% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) b))) |
| ▶ | 60.6% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a)))) |
Compiled 352 to 211 computations (40.1% saved)
| Inputs |
|---|
0 |
1 |
-1 |
| Outputs |
|---|
#s(literal 0 binary64) |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
| 0.0ms | 1× | 0 | valid |
Compiled 5 to 5 computations (0.0% saved)
adjust: 0.0ms (0.0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 278 | 2152 |
| 1× | iter-limit |
| Inputs |
|---|
eps |
a |
b |
#s(literal 0 binary64) |
#s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) |
(*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) |
#s(literal 1 binary64) |
(*.f64 b a) |
(/.f64 #s(literal 1 binary64) (*.f64 b a)) |
(+.f64 b a) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a)) |
(+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a)))) |
(/.f64 b a) |
#s(literal -1 binary64) |
(-.f64 (/.f64 b a) #s(literal -1 binary64)) |
(/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) b) |
(+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) b))) |
(/.f64 (+.f64 b a) a) |
(/.f64 (/.f64 (+.f64 b a) a) b) |
(+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (/.f64 (/.f64 (+.f64 b a) a) b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (/.f64 (/.f64 (+.f64 b a) a) b))) |
| Outputs |
|---|
#s(approx a a) |
#s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) |
#s(approx (* b a) (*.f64 a b)) |
#s(approx (/ 1 (* b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) |
#s(approx (+ b a) b) |
#s(approx (+ b a) (+.f64 a b)) |
#s(approx (* (/ 1 (* b a)) (+ b a)) (/.f64 #s(literal 1 binary64) a)) |
#s(approx (* (/ 1 (* b a)) (+ b a)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps)))) a)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (+.f64 (*.f64 a (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps))))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)))) a)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (+.f64 (*.f64 a (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (*.f64 a (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps))))))))))))) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps))))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)))) a)) |
#s(approx (/ b a) (/.f64 b a)) |
#s(approx (- (/ b a) -1) (/.f64 (+.f64 a b) a)) |
#s(approx (+ b a) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))) |
#s(approx (* (/ 1 (* b a)) (+ b a)) (/.f64 #s(literal 1 binary64) b)) |
#s(approx (* (/ 1 (* b a)) (+ b a)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))) |
#s(approx (- (/ b a) -1) #s(literal 1 binary64)) |
#s(approx (- (/ b a) -1) (+.f64 #s(literal 1 binary64) (/.f64 b a))) |
#s(approx (+ b a) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64))))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 eps (-.f64 b (*.f64 #s(literal -1 binary64) a)))) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))) |
#s(approx (* (/ 1 (* b a)) (+ b a)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps)))) b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (+.f64 (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps))))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)))) b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (+.f64 (*.f64 b (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))) (*.f64 b (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))) (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps))))))))))))) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps))))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)))) b)) |
#s(approx (+ b a) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))) |
#s(approx (- (/ b a) -1) (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (+ b a) (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) #s(literal 1 binary64))))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 eps (-.f64 a (*.f64 #s(literal -1 binary64) b)))) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))) |
#s(approx eps eps) |
#s(approx (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) |
#s(approx (+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* (/ 1 (* b a)) (+ b a))) (+.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (*.f64 a b))) (+.f64 (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b)) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 a b)))))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (*.f64 a b))) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 4 binary64)) (*.f64 a b))) (+.f64 (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 b #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) b)) (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 2 binary64)))))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b)) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 a b)) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (*.f64 a b))) (+.f64 (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b)) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 a b))))) (*.f64 a b))))))) (+.f64 (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b)) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 a b)))))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* (/ 1 (* b a)) (+ b a))) (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a eps)) (/.f64 #s(literal 1 binary64) (*.f64 b eps)))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) |
#s(approx (+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* (/ 1 (* b a)) (+ b a))) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) eps)))))) |
9 calls:
| Time | Variable | Point |
|---|---|---|
| 9.0ms | b | inf |
| 6.0ms | b | -inf |
| 6.0ms | a | -inf |
| 5.0ms | a | inf |
| 5.0ms | a | 0 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 522 |
| 0 | 66 | 502 |
| 1 | 437 | 484 |
| 2 | 2108 | 484 |
| 0 | 4384 | 484 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
eps |
a |
b |
#s(literal 0 binary64) |
#s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) |
(*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) |
#s(literal 1 binary64) |
(*.f64 b a) |
(/.f64 #s(literal 1 binary64) (*.f64 b a)) |
(+.f64 b a) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a)) |
(+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a)))) |
(/.f64 b a) |
#s(literal -1 binary64) |
(-.f64 (/.f64 b a) #s(literal -1 binary64)) |
(/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) b) |
(+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) b))) |
(/.f64 (+.f64 b a) a) |
(/.f64 (/.f64 (+.f64 b a) a) b) |
(+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (/.f64 (/.f64 (+.f64 b a) a) b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (/.f64 (/.f64 (+.f64 b a) a) b))) |
| Outputs |
|---|
eps |
a |
b |
#s(literal 0 binary64) |
#s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) |
(*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) |
(*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) |
#s(literal 1 binary64) |
(*.f64 b a) |
(*.f64 a b) |
(*.f64 (pow.f64 (*.f64 b a) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 b a) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b a))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b a))) |
(pow.f64 (neg.f64 (*.f64 (neg.f64 b) a)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 b a) #s(literal -1 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (neg.f64 a)) (*.f64 a (neg.f64 a))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 a)) (*.f64 (neg.f64 b) a)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 2 binary64)) (*.f64 b #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) a) (*.f64 b a)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 a)) (*.f64 a a)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 2 binary64)) (*.f64 (neg.f64 a) #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) a) (*.f64 (neg.f64 a) a)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (*.f64 (neg.f64 (*.f64 (neg.f64 b) a)) (neg.f64 a))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (*.f64 (*.f64 b a) (neg.f64 a))) |
(/.f64 (*.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) b)) (*.f64 (neg.f64 a) a)) |
(/.f64 (*.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) a)) (*.f64 (neg.f64 b) a)) |
(/.f64 (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) b)) (*.f64 a a)) |
(/.f64 (*.f64 (neg.f64 a) #s(literal -1 binary64)) (*.f64 (neg.f64 a) (*.f64 (neg.f64 b) a))) |
(/.f64 (*.f64 (neg.f64 a) #s(literal 1 binary64)) (*.f64 (neg.f64 a) (neg.f64 (*.f64 (neg.f64 b) a)))) |
(/.f64 (*.f64 (neg.f64 a) #s(literal 1 binary64)) (*.f64 (neg.f64 a) (*.f64 b a))) |
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 2 binary64) b)) |
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) b)) (*.f64 #s(literal 2 binary64) (neg.f64 a))) |
(/.f64 (*.f64 a (/.f64 #s(literal -1 binary64) b)) (*.f64 a (neg.f64 a))) |
(/.f64 (*.f64 a (/.f64 #s(literal 1 binary64) b)) (*.f64 a a)) |
(/.f64 (*.f64 a #s(literal -1 binary64)) (*.f64 a (*.f64 (neg.f64 b) a))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) a) (*.f64 a a)) |
(/.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (neg.f64 (*.f64 (neg.f64 b) a)) a)) |
(/.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 a a) b)) |
(/.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 a (neg.f64 (*.f64 (neg.f64 b) a)))) |
(/.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 (*.f64 a a) b)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) (neg.f64 b)) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 a)) (*.f64 (*.f64 (neg.f64 b) a) (neg.f64 a))) |
(/.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 (*.f64 (neg.f64 b) a) a)) |
(/.f64 #s(literal -2 binary64) (*.f64 (*.f64 (neg.f64 b) a) #s(literal 2 binary64))) |
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 b) a))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) b) |
(/.f64 (/.f64 #s(literal 1 binary64) b) (neg.f64 (neg.f64 a))) |
(/.f64 (/.f64 #s(literal 1 binary64) b) a) |
(/.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 a)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 (neg.f64 b) a)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 b) a)) |
(/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (*.f64 (neg.f64 b) a)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (neg.f64 b) a)))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 b a) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 b) (neg.f64 a))) |
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) (neg.f64 b))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 #s(literal 1 binary64) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 b) a) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 b) a))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 b a) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 b a)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 b a))) |
(exp.f64 (*.f64 (log.f64 (*.f64 b a)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)) b) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) b) |
(*.f64 (/.f64 (+.f64 b a) a) a) |
(*.f64 #s(literal 1 binary64) (+.f64 b a)) |
(*.f64 (+.f64 b a) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (+.f64 b (neg.f64 a))) |
(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 b a)) |
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (+.f64 (*.f64 b b) (+.f64 (*.f64 a a) (*.f64 (neg.f64 b) a)))) |
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (neg.f64 b) #s(literal 3 binary64))) (+.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 (neg.f64 b) a)))) |
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (+.f64 a (neg.f64 b))) |
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b)) |
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (*.f64 b b) (-.f64 (*.f64 a a) (*.f64 b a)))) |
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (*.f64 a a) (-.f64 (*.f64 b b) (*.f64 b a)))) |
(neg.f64 (*.f64 #s(literal -1 binary64) (+.f64 b a))) |
(neg.f64 (neg.f64 (+.f64 b a))) |
(-.f64 b (neg.f64 a)) |
(-.f64 a (neg.f64 b)) |
(+.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 1 binary64) a)) |
(+.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1 binary64) b)) |
(+.f64 (*.f64 b #s(literal 1 binary64)) (*.f64 a #s(literal 1 binary64))) |
(+.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 b #s(literal 1 binary64))) |
(+.f64 b (neg.f64 (neg.f64 a))) |
(+.f64 b a) |
(+.f64 a (neg.f64 (neg.f64 b))) |
(+.f64 a b) |
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(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a)) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) b))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a)) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) (*.f64 b a))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a)) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) b)) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))))) |
(/.f64 (/.f64 (+.f64 b a) b) a) |
(/.f64 (-.f64 (*.f64 (/.f64 b a) b) (*.f64 b #s(literal -1 binary64))) (*.f64 b b)) |
(/.f64 (*.f64 (neg.f64 (+.f64 b a)) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 a)) (neg.f64 b))) |
(/.f64 (*.f64 (neg.f64 (+.f64 b a)) #s(literal 1 binary64)) (*.f64 (neg.f64 b) a)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) (neg.f64 (neg.f64 (neg.f64 b)))) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) (neg.f64 b)) |
(/.f64 (neg.f64 (+.f64 b a)) (*.f64 (neg.f64 b) a)) |
(/.f64 (/.f64 (+.f64 b a) a) (neg.f64 (neg.f64 b))) |
(/.f64 (/.f64 (+.f64 b a) a) b) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (+.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) (-.f64 #s(literal -1 binary64) (/.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (+.f64 b a) a))) |
(/.f64 (+.f64 b a) (*.f64 b (neg.f64 (neg.f64 a)))) |
(/.f64 (+.f64 b a) (*.f64 (neg.f64 (neg.f64 a)) b)) |
(/.f64 (+.f64 b a) (*.f64 (neg.f64 a) (neg.f64 b))) |
(/.f64 (+.f64 b a) (neg.f64 (*.f64 (neg.f64 b) a))) |
(/.f64 (+.f64 b a) (*.f64 b a)) |
(neg.f64 (/.f64 (neg.f64 (+.f64 b a)) (*.f64 b a))) |
(-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 b a)) a)) |
(-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) (*.f64 b a)))) |
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (neg.f64 a) (*.f64 b a))) |
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) |
(-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (neg.f64 b) (*.f64 b a))) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) (/.f64 (+.f64 b a) (*.f64 b a)))) (/.f64 (+.f64 b a) (*.f64 b a))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (+.f64 b a)) (*.f64 b a)) (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps))) (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 b a) (*.f64 b a)) (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps))) (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps)) |
(*.f64 (-.f64 (*.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) b) (-.f64 #s(literal -1 binary64) (/.f64 b a))) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) b) (neg.f64 a)) (neg.f64 (+.f64 b a))) #s(literal -1 binary64)) (*.f64 (neg.f64 a) (neg.f64 b))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) b) (neg.f64 a)) (neg.f64 (+.f64 b a))) #s(literal 1 binary64)) (*.f64 (neg.f64 b) a)) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) b) a) (+.f64 b a)) #s(literal -1 binary64)) (*.f64 (neg.f64 b) a)) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) b) a) (+.f64 b a)) #s(literal 1 binary64)) (*.f64 b a)) |
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) (neg.f64 b)) (-.f64 #s(literal -1 binary64) (/.f64 b a)))) (neg.f64 (neg.f64 b))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) (*.f64 b a)) (+.f64 b a))) (*.f64 (neg.f64 b) a)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) b) (-.f64 #s(literal -1 binary64) (/.f64 b a))))) (neg.f64 (neg.f64 b))) |
(/.f64 (+.f64 (*.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) (neg.f64 b)) (-.f64 #s(literal -1 binary64) (/.f64 b a))) (neg.f64 b)) |
(/.f64 (+.f64 (*.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) (*.f64 b a)) (+.f64 b a)) (*.f64 b a)) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b a) (*.f64 b a)) (/.f64 (+.f64 b a) (*.f64 b a))) (*.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps))) (-.f64 (/.f64 (+.f64 b a) (*.f64 b a)) (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps)) (*.f64 (/.f64 (neg.f64 (+.f64 b a)) (*.f64 b a)) (/.f64 (neg.f64 (+.f64 b a)) (*.f64 b a)))) (+.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) (/.f64 (neg.f64 (+.f64 b a)) (*.f64 b a)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 b a) (*.f64 b a)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (+.f64 b a) (*.f64 b a)) (/.f64 (+.f64 b a) (*.f64 b a))) (-.f64 (*.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps)) (*.f64 (/.f64 (+.f64 b a) (*.f64 b a)) (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 (+.f64 b a)) (*.f64 b a)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps)) (+.f64 (*.f64 (/.f64 (neg.f64 (+.f64 b a)) (*.f64 b a)) (/.f64 (neg.f64 (+.f64 b a)) (*.f64 b a))) (*.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) (/.f64 (neg.f64 (+.f64 b a)) (*.f64 b a)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) b) (-.f64 #s(literal -1 binary64) (/.f64 b a)))) (neg.f64 b)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) b) (-.f64 #s(literal -1 binary64) (/.f64 b a))) b) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps)) (*.f64 (/.f64 (+.f64 b a) (*.f64 b a)) (/.f64 (+.f64 b a) (*.f64 b a)))) (-.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) (/.f64 (+.f64 b a) (*.f64 b a)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 b a) (*.f64 b a)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps)) (-.f64 (*.f64 (/.f64 (+.f64 b a) (*.f64 b a)) (/.f64 (+.f64 b a) (*.f64 b a))) (*.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) (/.f64 (+.f64 b a) (*.f64 b a)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 (*.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) b) (-.f64 #s(literal -1 binary64) (/.f64 b a))))) |
(neg.f64 (-.f64 (/.f64 (neg.f64 (+.f64 b a)) (*.f64 b a)) (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps))) |
(-.f64 (+.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal -1 binary64) b)) |
(-.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps))) |
(-.f64 (/.f64 (+.f64 b a) (*.f64 b a)) (*.f64 (neg.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) eps)) |
(-.f64 (/.f64 (+.f64 b a) (*.f64 b a)) (*.f64 (neg.f64 eps) #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)))) |
(-.f64 (/.f64 (+.f64 b a) (*.f64 b a)) (neg.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps))) |
(-.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) (/.f64 (neg.f64 (+.f64 b a)) (*.f64 b a))) |
(+.f64 (+.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 (*.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) b) b) (/.f64 (+.f64 b a) (*.f64 b a))) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps))) |
(+.f64 (/.f64 (+.f64 b a) (*.f64 b a)) (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps)) |
(+.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) (/.f64 (+.f64 b a) (*.f64 b a))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (/.f64 (+.f64 b a) (*.f64 b a)) (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps))) |
Compiled 34 332 to 2 010 computations (94.1% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 397 | 0 | 397 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 0 | 3 |
| Done | -3 | 7 | 4 |
| Total | 397 | 7 | 404 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 63.6% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) |
| ✓ | 27.4% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ a b) b) (*.f64 a b))) |
| ✓ | 54.1% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) |
| ✓ | 45.2% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
| ✓ | 99.8% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (/.f64 (/.f64 (+.f64 b a) a) b))) |
| ✓ | 99.8% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) b))) |
| ✓ | 60.6% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a)))) |
Compiled 352 to 211 computations (40.1% saved)
| Inputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
| Outputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
| Inputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ a b) b) (*.f64 a b))) |
| Outputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
| Inputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ a b) b) (*.f64 a b))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a)))) |
| Outputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
| Inputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ a b) b) (*.f64 a b))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a)))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) b))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (/.f64 (/.f64 (+.f64 b a) a) b))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) a) (*.f64 a b))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 b a)) (*.f64 a b))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) (+.f64 b a))) eps)) b) #s(literal 1 binary64)) b)) |
(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
| Outputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
13 calls:
| 5.0ms | (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) |
| 4.0ms | b |
| 4.0ms | a |
| 4.0ms | eps |
| 3.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.2% | 1 | (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) |
| 45.2% | 1 | eps |
| 45.2% | 1 | b |
| 45.2% | 1 | a |
| 84.9% | 2 | a |
| 63.6% | 1 | (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) |
| 86.7% | 3 | a |
| 82.4% | 3 | b |
| 80.4% | 5 | eps |
| 99.9% | 1 | (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) |
| 99.9% | 1 | a |
| 99.9% | 1 | b |
| 99.9% | 1 | eps |
Compiled 748 to 203 computations (72.9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | -8.582869380427644e-231 | -1.1777078758114812e-231 |
| 15.0ms | -5.679485505285779e-79 | -8.400785004631251e-81 |
| 17.0ms | 208× | 0 | valid |
Compiled 783 to 572 computations (26.9% saved)
ival-expm1: 6.0ms (49.8% of total)ival-mult!: 4.0ms (33.2% of total)ival-add!: 1.0ms (8.3% of total)ival-div!: 1.0ms (8.3% of total)adjust: 0.0ms (0.0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -8.582869380427644e-231 | -1.1777078758114812e-231 |
Compiled 363 to 271 computations (25.3% saved)
| 1× | done |
Compiled 260 to 55 computations (78.8% saved)
Compiled 866 to 330 computations (61.9% saved)
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