
Time bar (total: 7.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 5 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 6 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 7 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 8 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 9 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 10 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 11 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 8 to 8 computations (0% saved)
| 2.2s | 7 803× | 5 | exit |
| 936.0ms | 1 659× | 2 | valid |
| 518.0ms | 2 316× | 1 | valid |
| 332.0ms | 4 281× | 0 | valid |
ival-log: 1.1s (35.3% of total)ival-exp: 1.1s (32.8% of total)adjust: 850.0ms (26.2% of total)ival-add!: 182.0ms (5.6% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 42 |
| 1 | 41 | 42 |
| 2 | 117 | 42 |
| 3 | 493 | 42 |
| 4 | 5287 | 42 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.6% | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(sort a b)
Compiled 12 to 12 computations (0% saved)
| Inputs |
|---|
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(exp.f64 a) |
a |
(exp.f64 b) |
b |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b)))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b)))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))) |
#s(approx (exp a) #s(hole binary64 1)) |
#s(approx (exp a) #s(hole binary64 (+ 1 a))) |
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a)))))) |
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b)))) |
#s(approx (exp a) #s(hole binary64 (exp a))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a)))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a)))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))) |
#s(approx (exp b) #s(hole binary64 (+ 1 b))) |
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b)))))) |
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (exp b) #s(hole binary64 (exp b))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | a | @ | inf | ((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b) |
| 24.0ms | a | @ | -inf | ((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b) |
| 14.0ms | b | @ | -inf | ((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b) |
| 13.0ms | b | @ | inf | ((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b) |
| 1.0ms | a | @ | 0 | ((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 132 | 545 |
| 0 | 136 | 529 |
| 1 | 868 | 529 |
| 0 | 8621 | 481 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(exp.f64 a) |
a |
(exp.f64 b) |
b |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b)))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b)))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))) |
#s(approx (exp a) #s(hole binary64 1)) |
#s(approx (exp a) #s(hole binary64 (+ 1 a))) |
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a)))))) |
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b)))) |
#s(approx (exp a) #s(hole binary64 (exp a))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a)))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a)))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))) |
#s(approx (exp b) #s(hole binary64 (+ 1 b))) |
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b)))))) |
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (exp b) #s(hole binary64 (exp b))) |
| Outputs |
|---|
(-.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b)))) |
(-.f64 (log.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (log.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (-.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (*.f64 (exp.f64 b) (exp.f64 a))))) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))) |
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))) |
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (-.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))) |
(fma.f64 #s(literal 1 binary64) (exp.f64 b) (exp.f64 a)) |
(fma.f64 #s(literal 1 binary64) (exp.f64 a) (exp.f64 b)) |
(-.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b)))) |
(+.f64 (/.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))) (/.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(*.f64 #s(literal 1 binary64) (exp.f64 a)) |
(/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 a)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 a) (cosh.f64 a)) (*.f64 (sinh.f64 a) (sinh.f64 a))) (-.f64 (cosh.f64 a) (sinh.f64 a))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64))) (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (*.f64 (sinh.f64 a) (sinh.f64 a)) (*.f64 (cosh.f64 a) (sinh.f64 a))))) |
(fma.f64 (cosh.f64 a) #s(literal 1 binary64) (*.f64 (sinh.f64 a) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cosh.f64 a) (*.f64 #s(literal 1 binary64) (sinh.f64 a))) |
(exp.f64 (+.f64 #s(literal 0 binary64) a)) |
(exp.f64 a) |
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 a)) (*.f64 #s(literal 1 binary64) (sinh.f64 a))) |
(+.f64 (*.f64 (cosh.f64 a) #s(literal 1 binary64)) (*.f64 (sinh.f64 a) #s(literal 1 binary64))) |
(+.f64 (cosh.f64 a) (sinh.f64 a)) |
a |
(*.f64 #s(literal 1 binary64) (exp.f64 b)) |
(/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 b)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 b) (cosh.f64 b)) (*.f64 (sinh.f64 b) (sinh.f64 b))) (-.f64 (cosh.f64 b) (sinh.f64 b))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 b) #s(literal 3 binary64)) (pow.f64 (sinh.f64 b) #s(literal 3 binary64))) (fma.f64 (cosh.f64 b) (cosh.f64 b) (-.f64 (*.f64 (sinh.f64 b) (sinh.f64 b)) (*.f64 (cosh.f64 b) (sinh.f64 b))))) |
(fma.f64 (cosh.f64 b) #s(literal 1 binary64) (*.f64 (sinh.f64 b) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cosh.f64 b) (*.f64 #s(literal 1 binary64) (sinh.f64 b))) |
(exp.f64 (+.f64 #s(literal 0 binary64) b)) |
(exp.f64 b) |
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 b)) (*.f64 #s(literal 1 binary64) (sinh.f64 b))) |
(+.f64 (*.f64 (cosh.f64 b) #s(literal 1 binary64)) (*.f64 (sinh.f64 b) #s(literal 1 binary64))) |
(+.f64 (cosh.f64 b) (sinh.f64 b)) |
b |
#s(approx (log (+ (exp a) (exp b))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 a (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (-.f64 (fma.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 1/2 binary64))) a (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) a (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))) |
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64))) |
#s(approx (+ (exp a) (exp b)) (-.f64 (+.f64 (exp.f64 b) a) #s(literal -1 binary64))) |
#s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64))) |
#s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64))) |
#s(approx (exp a) #s(literal 1 binary64)) |
#s(approx (exp a) (-.f64 a #s(literal -1 binary64))) |
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) |
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) |
#s(approx a a) |
#s(approx (log (+ (exp a) (exp b))) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 b) (exp.f64 a))) |
#s(approx (exp a) (exp.f64 a)) |
#s(approx (log (+ (exp a) (exp b))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 b (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (-.f64 (fma.f64 (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (*.f64 (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 1/2 binary64))) b (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) b (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))) |
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))) |
#s(approx (+ (exp a) (exp b)) (-.f64 (+.f64 (exp.f64 a) b) #s(literal -1 binary64))) |
#s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal -1 binary64))) |
#s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal -1 binary64))) |
#s(approx (exp b) (-.f64 b #s(literal -1 binary64))) |
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) |
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))) |
#s(approx b b) |
#s(approx (exp b) (exp.f64 b)) |
Compiled 619 to 294 computations (52.5% saved)
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 51 | 12 | 63 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 51 | 13 | 64 |
| Status | Accuracy | Program |
|---|---|---|
| 0.0% | (-.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b)))) | |
| 53.5% | (-.f64 (log.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (log.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))) | |
| 8.9% | (log.f64 (/.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (-.f64 (exp.f64 b) (exp.f64 a)))) | |
| 53.5% | (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))) | |
| ✓ | 53.6% | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 51.9% | (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))) | |
| ▶ | 47.6% | (log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))) |
| 47.9% | (log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64)))) | |
| ▶ | 49.3% | (log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64)))) |
| 49.3% | (log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) | |
| ▶ | 49.9% | (log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) |
| ▶ | 98.9% | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))) |
| ▶ | 48.9% | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))) |
Compiled 326 to 318 computations (2.5% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))) |
(+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))) |
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) |
b |
(-.f64 (exp.f64 a) #s(literal -1 binary64)) |
(exp.f64 a) |
a |
#s(literal -1 binary64) |
(log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) |
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) |
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))) |
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))) |
(+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)) |
#s(approx (exp a) (-.f64 a #s(literal -1 binary64))) |
(-.f64 a #s(literal -1 binary64)) |
(exp.f64 b) |
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64)))) |
#s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64))) |
(-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) |
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))) |
(+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))) |
(/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) |
(-.f64 (exp.f64 b) #s(literal -1 binary64)) |
(log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b)))))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log 2) (* 1/2 b)))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b))))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b))))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b))))))) |
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (* 1/2 b))) |
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b)))) |
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b)))))) |
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b)))))) |
#s(approx (- (exp a) -1) #s(hole binary64 2)) |
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 a))) |
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a)))))) |
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) |
#s(approx (exp a) #s(hole binary64 1)) |
#s(approx (exp a) #s(hole binary64 (+ 1 a))) |
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a)))))) |
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (log (- (exp a) -1)) #s(hole binary64 (log 2))) |
#s(approx (log (- (exp a) -1)) #s(hole binary64 (+ (log 2) (* 1/2 a)))) |
#s(approx (log (- (exp a) -1)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a)))))) |
#s(approx (log (- (exp a) -1)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b)))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (exp b))) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ a (exp b)))) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (+ 1 (* 1/2 a)))) |
#s(approx (/ a (- (exp b) -1)) #s(hole binary64 (/ a (+ 1 (exp b))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))))) |
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (/ b (+ 1 (exp a))))) |
#s(approx (- (exp a) -1) #s(hole binary64 (+ 1 (exp a)))) |
#s(approx (exp a) #s(hole binary64 (exp a))) |
#s(approx (log (- (exp a) -1)) #s(hole binary64 (log (+ 1 (exp a))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b)))) |
#s(approx (- a -1) #s(hole binary64 (* a (+ 1 (/ 1 a))))) |
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* 1/2 (pow a 2)))) |
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a))))) |
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2)))))))) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ (exp b) (pow a 2))))))) |
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (* 1/2 a))) |
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (* a (+ 1/2 (/ 1 a))))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) #s(hole binary64 (* a (+ (/ 1 (+ 1 (exp b))) (/ (log (+ 1 (exp b))) a))))) |
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a)))))) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (exp b) a)) 1) a)))))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) #s(hole binary64 (* -1 (* a (- (* -1 (/ (log (+ 1 (exp b))) a)) (/ 1 (+ 1 (exp b)))))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a)))))))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))) |
#s(approx (exp b) #s(hole binary64 (+ 1 b))) |
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b)))))) |
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) |
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ b (* a (+ 1 (* 1/2 a))))))) |
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b))))))) |
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ 1 (+ b (* a (+ 1 (* 1/2 a))))))) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ 1 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b))))))) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ 1 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 a) (* b (- 1/2 (* 1/4 a))))))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 a) (* b (- (+ 1/2 (* b (- 1/8 (+ (* -1/8 a) (* 1/8 a))))) (* 1/4 a))))))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 a) (* b (- (+ 1/2 (* b (- (+ 1/8 (* -1 (* b (+ (* -1/2 (+ (* -1/8 a) (* 1/8 a))) (+ (* -1/16 a) (* 1/24 a)))))) (+ (* -1/8 a) (* 1/8 a))))) (* 1/4 a))))))) |
#s(approx (/ a (- (exp b) -1)) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 a)))) |
#s(approx (/ a (- (exp b) -1)) #s(hole binary64 (+ (* 1/2 a) (* b (- (* -1 (* b (+ (* -1/8 a) (* 1/8 a)))) (* 1/4 a)))))) |
#s(approx (/ a (- (exp b) -1)) #s(hole binary64 (+ (* 1/2 a) (* b (- (* b (- (* -1 (* b (+ (* -1/2 (+ (* -1/8 a) (* 1/8 a))) (+ (* -1/16 a) (* 1/24 a))))) (+ (* -1/8 a) (* 1/8 a)))) (* 1/4 a)))))) |
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b))) |
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b)))))) |
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) |
#s(approx (log (- (exp b) -1)) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b)))))) |
#s(approx (log (- (exp b) -1)) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 35.0ms | b | @ | -inf | ((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (- (exp a) -1)) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (- a -1) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (+ (* 1/2 a) 1) a) (exp b)) (+ (* 1/2 a) 1) 1/2 1 (log (+ (exp a) (exp b))) (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (/ a (- (exp b) -1)) (- (exp b) -1) (log (- (exp b) -1))) |
| 34.0ms | b | @ | inf | ((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (- (exp a) -1)) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (- a -1) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (+ (* 1/2 a) 1) a) (exp b)) (+ (* 1/2 a) 1) 1/2 1 (log (+ (exp a) (exp b))) (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (/ a (- (exp b) -1)) (- (exp b) -1) (log (- (exp b) -1))) |
| 29.0ms | a | @ | -inf | ((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (- (exp a) -1)) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (- a -1) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (+ (* 1/2 a) 1) a) (exp b)) (+ (* 1/2 a) 1) 1/2 1 (log (+ (exp a) (exp b))) (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (/ a (- (exp b) -1)) (- (exp b) -1) (log (- (exp b) -1))) |
| 24.0ms | a | @ | 0 | ((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (- (exp a) -1)) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (- a -1) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (+ (* 1/2 a) 1) a) (exp b)) (+ (* 1/2 a) 1) 1/2 1 (log (+ (exp a) (exp b))) (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (/ a (- (exp b) -1)) (- (exp b) -1) (log (- (exp b) -1))) |
| 24.0ms | a | @ | inf | ((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (- (exp a) -1)) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (- a -1) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (+ (* 1/2 a) 1) a) (exp b)) (+ (* 1/2 a) 1) 1/2 1 (log (+ (exp a) (exp b))) (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (/ a (- (exp b) -1)) (- (exp b) -1) (log (- (exp b) -1))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 390 | 1925 |
| 0 | 424 | 1811 |
| 1 | 2589 | 1807 |
| 0 | 8254 | 1697 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))) |
(+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))) |
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) |
b |
(-.f64 (exp.f64 a) #s(literal -1 binary64)) |
(exp.f64 a) |
a |
#s(literal -1 binary64) |
(log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) |
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) |
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))) |
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))) |
(+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)) |
#s(approx (exp a) (-.f64 a #s(literal -1 binary64))) |
(-.f64 a #s(literal -1 binary64)) |
(exp.f64 b) |
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64)))) |
#s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64))) |
(-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) |
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))) |
(+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))) |
(/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) |
(-.f64 (exp.f64 b) #s(literal -1 binary64)) |
(log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b)))))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log 2) (* 1/2 b)))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b))))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b))))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b))))))) |
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (* 1/2 b))) |
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b)))) |
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b)))))) |
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b)))))) |
#s(approx (- (exp a) -1) #s(hole binary64 2)) |
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 a))) |
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a)))))) |
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) |
#s(approx (exp a) #s(hole binary64 1)) |
#s(approx (exp a) #s(hole binary64 (+ 1 a))) |
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a)))))) |
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (log (- (exp a) -1)) #s(hole binary64 (log 2))) |
#s(approx (log (- (exp a) -1)) #s(hole binary64 (+ (log 2) (* 1/2 a)))) |
#s(approx (log (- (exp a) -1)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a)))))) |
#s(approx (log (- (exp a) -1)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b)))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (exp b))) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ a (exp b)))) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (+ 1 (* 1/2 a)))) |
#s(approx (/ a (- (exp b) -1)) #s(hole binary64 (/ a (+ 1 (exp b))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))))) |
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (/ b (+ 1 (exp a))))) |
#s(approx (- (exp a) -1) #s(hole binary64 (+ 1 (exp a)))) |
#s(approx (exp a) #s(hole binary64 (exp a))) |
#s(approx (log (- (exp a) -1)) #s(hole binary64 (log (+ 1 (exp a))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b)))) |
#s(approx (- a -1) #s(hole binary64 (* a (+ 1 (/ 1 a))))) |
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* 1/2 (pow a 2)))) |
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a))))) |
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2)))))))) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ (exp b) (pow a 2))))))) |
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (* 1/2 a))) |
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (* a (+ 1/2 (/ 1 a))))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) #s(hole binary64 (* a (+ (/ 1 (+ 1 (exp b))) (/ (log (+ 1 (exp b))) a))))) |
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a)))))) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (exp b) a)) 1) a)))))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) #s(hole binary64 (* -1 (* a (- (* -1 (/ (log (+ 1 (exp b))) a)) (/ 1 (+ 1 (exp b)))))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a)))))))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))) |
#s(approx (exp b) #s(hole binary64 (+ 1 b))) |
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b)))))) |
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) |
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ b (* a (+ 1 (* 1/2 a))))))) |
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b))))))) |
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ 1 (+ b (* a (+ 1 (* 1/2 a))))))) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ 1 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b))))))) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ 1 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 a) (* b (- 1/2 (* 1/4 a))))))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 a) (* b (- (+ 1/2 (* b (- 1/8 (+ (* -1/8 a) (* 1/8 a))))) (* 1/4 a))))))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 a) (* b (- (+ 1/2 (* b (- (+ 1/8 (* -1 (* b (+ (* -1/2 (+ (* -1/8 a) (* 1/8 a))) (+ (* -1/16 a) (* 1/24 a)))))) (+ (* -1/8 a) (* 1/8 a))))) (* 1/4 a))))))) |
#s(approx (/ a (- (exp b) -1)) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 a)))) |
#s(approx (/ a (- (exp b) -1)) #s(hole binary64 (+ (* 1/2 a) (* b (- (* -1 (* b (+ (* -1/8 a) (* 1/8 a)))) (* 1/4 a)))))) |
#s(approx (/ a (- (exp b) -1)) #s(hole binary64 (+ (* 1/2 a) (* b (- (* b (- (* -1 (* b (+ (* -1/2 (+ (* -1/8 a) (* 1/8 a))) (+ (* -1/16 a) (* 1/24 a))))) (+ (* -1/8 a) (* 1/8 a)))) (* 1/4 a)))))) |
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b))) |
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b)))))) |
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) |
#s(approx (log (- (exp b) -1)) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b)))))) |
#s(approx (log (- (exp b) -1)) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (+.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))) (/.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))))) (/.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))))) |
(+.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) |
(+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 b) (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))) |
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) |
b |
(/.f64 (neg.f64 (expm1.f64 (+.f64 a a))) (neg.f64 (+.f64 (exp.f64 a) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64)))))) |
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 (exp.f64 a) #s(literal -1 binary64))) |
(/.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64))))) |
(-.f64 (/.f64 (exp.f64 (+.f64 a a)) (+.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64)))))) |
(-.f64 (exp.f64 a) #s(literal -1 binary64)) |
(exp.f64 a) |
(+.f64 (cosh.f64 a) (sinh.f64 a)) |
a |
#s(literal -1 binary64) |
(-.f64 (log.f64 (expm1.f64 (+.f64 a a))) (log.f64 (+.f64 (exp.f64 a) #s(literal -1 binary64)))) |
(-.f64 (log.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) #s(literal -1 binary64))) (log.f64 (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64)))))) |
(log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) |
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) |
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))) |
(-.f64 (log.f64 (-.f64 (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) (exp.f64 (+.f64 b b)))) (log.f64 (-.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))) |
(-.f64 (log.f64 (fma.f64 (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (log.f64 (fma.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (-.f64 (exp.f64 (+.f64 b b)) (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))))) |
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) (exp.f64 (+.f64 b b)))) (neg.f64 (-.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (-.f64 (exp.f64 (+.f64 b b)) (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))))) |
(/.f64 (-.f64 (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) (exp.f64 (+.f64 b b))) (-.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))) |
(/.f64 (fma.f64 (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (fma.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (-.f64 (exp.f64 (+.f64 b b)) (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))))) |
(-.f64 (/.f64 (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) (-.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))) |
(+.f64 (/.f64 (*.f64 (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) (fma.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (-.f64 (exp.f64 (+.f64 b b)) (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))))) (/.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) (fma.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (-.f64 (exp.f64 (+.f64 b b)) (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))))) |
(+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)) |
(+.f64 (exp.f64 b) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) |
#s(approx (exp a) (-.f64 a #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 (*.f64 a a) #s(literal 1 binary64))) (neg.f64 (+.f64 a #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 a a) a) #s(literal -1 binary64))) (neg.f64 (fma.f64 a a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (*.f64 a a) #s(literal 1 binary64)) (+.f64 a #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 a a) a) #s(literal -1 binary64)) (fma.f64 a a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal -1 binary64))))) |
(-.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 a a) a) (fma.f64 a a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 a a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal -1 binary64)))))) |
(-.f64 a #s(literal -1 binary64)) |
(exp.f64 b) |
(+.f64 (cosh.f64 b) (sinh.f64 b)) |
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64)))) |
#s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64))) |
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(-.f64 (/.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 b b)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64)))))) |
(-.f64 (exp.f64 b) #s(literal -1 binary64)) |
(-.f64 (log.f64 (expm1.f64 (+.f64 b b))) (log.f64 (+.f64 (exp.f64 b) #s(literal -1 binary64)))) |
(-.f64 (log.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) #s(literal -1 binary64))) (log.f64 (+.f64 (exp.f64 (+.f64 b b)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64)))))) |
(log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) |
#s(approx (log (+ (exp a) (exp b))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 a (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (-.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) #s(literal 1/2 binary64))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 b #s(literal 0 binary64))) a #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (+.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/8 binary64) (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a)) (*.f64 b #s(literal 0 binary64)))) a #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64)))) |
#s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) |
#s(approx (/ b (- (exp a) -1)) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) b))) |
#s(approx (/ b (- (exp a) -1)) (fma.f64 (-.f64 (neg.f64 (*.f64 (*.f64 b #s(literal 0 binary64)) a)) (*.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) |
#s(approx (/ b (- (exp a) -1)) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a)) (*.f64 b #s(literal 0 binary64))) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) |
#s(approx (- (exp a) -1) #s(literal 2 binary64)) |
#s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a)) |
#s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))) |
#s(approx (- (exp a) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))) |
#s(approx (exp a) #s(literal 1 binary64)) |
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) |
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) |
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) |
#s(approx a a) |
#s(approx (log (- (exp a) -1)) (log.f64 #s(literal 2 binary64))) |
#s(approx (log (- (exp a) -1)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (- (exp a) -1)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (- (exp a) -1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 1 binary64))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (exp.f64 b)) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (+.f64 (exp.f64 b) a)) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b))) |
#s(approx (+ (* 1/2 a) 1) (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))) |
#s(approx (/ a (- (exp b) -1)) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
#s(approx (log (+ (exp a) (exp b))) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
#s(approx (/ b (- (exp a) -1)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
#s(approx (- (exp a) -1) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
#s(approx (exp a) (exp.f64 a)) |
#s(approx (log (- (exp a) -1)) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 b) (exp.f64 a))) |
#s(approx (- a -1) (fma.f64 #s(literal 1 binary64) a #s(literal 1 binary64))) |
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) |
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)) |
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (*.f64 (+.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)) #s(literal 1/2 binary64)) (*.f64 a a))) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (*.f64 (+.f64 (+.f64 (/.f64 (exp.f64 b) (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)) #s(literal 1/2 binary64)) (*.f64 a a))) |
#s(approx (+ (* 1/2 a) 1) (*.f64 #s(literal 1/2 binary64) a)) |
#s(approx (+ (* 1/2 a) 1) (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (*.f64 (+.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) a) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a)) |
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a)) #s(literal 1 binary64)) a)) #s(literal 1/2 binary64)) (*.f64 a a))) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (exp.f64 b) a)) #s(literal 1 binary64)) a)) #s(literal 1/2 binary64)) (*.f64 a a))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 b (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) b) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (-.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) #s(literal 1/2 binary64))) b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
#s(approx b b) |
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64))) |
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) |
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) |
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))) |
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a b) #s(literal 2 binary64))) |
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)) #s(literal 2 binary64))) |
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)) #s(literal 2 binary64))) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a b) #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)) #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)) #s(literal 1 binary64))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) b (*.f64 #s(literal 1/2 binary64) a)) (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 a #s(literal 0 binary64))) b #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) a)) b (*.f64 #s(literal 1/2 binary64) a)) (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (+.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/8 binary64) (-.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 a #s(literal 0 binary64)) #s(literal -1/2 binary64) (*.f64 a #s(literal -1/48 binary64))) b)) (*.f64 a #s(literal 0 binary64)))) b #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) a)) b (*.f64 #s(literal 1/2 binary64) a)) (log.f64 #s(literal 2 binary64)))) |
#s(approx (/ a (- (exp b) -1)) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) a))) |
#s(approx (/ a (- (exp b) -1)) (fma.f64 (-.f64 (neg.f64 (*.f64 (*.f64 a #s(literal 0 binary64)) b)) (*.f64 #s(literal 1/4 binary64) a)) b (*.f64 #s(literal 1/2 binary64) a))) |
#s(approx (/ a (- (exp b) -1)) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 a #s(literal 0 binary64)) #s(literal -1/2 binary64) (*.f64 a #s(literal -1/48 binary64))) b)) (*.f64 a #s(literal 0 binary64))) b (*.f64 #s(literal -1/4 binary64) a)) b (*.f64 #s(literal 1/2 binary64) a))) |
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) |
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) |
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))) |
#s(approx (log (- (exp b) -1)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (- (exp b) -1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (*.f64 (+.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b)) |
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b))) |
Compiled 3 071 to 1 158 computations (62.3% saved)
26 alts after pruning (20 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 192 | 18 | 210 |
| Fresh | 5 | 2 | 7 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 197 | 26 | 223 |
| Status | Accuracy | Program |
|---|---|---|
| 0.0% | (-.f64 (log.f64 (-.f64 (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) (exp.f64 (+.f64 b b)))) (log.f64 (-.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))) | |
| 47.6% | (log.f64 (/.f64 (fma.f64 (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (fma.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (-.f64 (exp.f64 (+.f64 b b)) (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))))) | |
| ✓ | 53.6% | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 51.9% | (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))) | |
| ✓ | 47.6% | (log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))) |
| 47.0% | (log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) | |
| ✓ | 49.3% | (log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64)))) |
| 49.3% | (log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) | |
| ✓ | 49.9% | (log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) |
| 21.2% | (log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (exp.f64 b) a)) #s(literal 1 binary64)) a)) #s(literal 1/2 binary64)) (*.f64 a a))) #s(literal -1 binary64)))) | |
| ▶ | 1.8% | (log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)))) |
| 2.1% | (log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))))) | |
| ▶ | 46.8% | (log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))))) |
| 48.3% | (log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))))) | |
| 46.5% | (log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a)))) | |
| ▶ | 48.3% | (log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64)))) |
| 48.3% | #s(approx (log (+ (exp a) (exp b))) (/.f64 (+.f64 (pow.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))))))) | |
| ✓ | 98.9% | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))) |
| ▶ | 48.2% | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(approx (log (- (exp a) -1)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))) |
| 49.1% | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(approx (log (- (exp a) -1)) (log.f64 #s(literal 2 binary64))))) | |
| 48.7% | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b #s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))) (log.f64 #s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))) | |
| ✓ | 48.9% | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))) |
| 48.1% | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))) (log.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))) | |
| ▶ | 57.3% | #s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))) |
| 48.9% | #s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ a (- (exp b) -1)) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) a))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))) | |
| 48.9% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
Compiled 863 to 739 computations (14.4% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))) |
(+.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))) |
#s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) |
(*.f64 #s(literal 1/2 binary64) b) |
#s(literal 1/2 binary64) |
b |
(log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) |
(-.f64 (exp.f64 a) #s(literal -1 binary64)) |
(exp.f64 a) |
a |
#s(literal -1 binary64) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64)))) |
#s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))) |
#s(approx (- (exp a) -1) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)))) |
#s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a))) |
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)) |
(fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a) |
(*.f64 a a) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))))) |
#s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))) |
#s(approx (- (exp a) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(approx (log (- (exp a) -1)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))) |
(+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(approx (log (- (exp a) -1)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) |
#s(approx (log (- (exp a) -1)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))) |
(log.f64 #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b)))))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log 2) (* 1/2 b)))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b))))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b))))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b))))))) |
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (* 1/2 b))) |
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b)))) |
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b)))))) |
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b)))))) |
#s(approx (log (- (exp a) -1)) #s(hole binary64 (log 2))) |
#s(approx (log (- (exp a) -1)) #s(hole binary64 (+ (log 2) (* 1/2 a)))) |
#s(approx (log (- (exp a) -1)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a)))))) |
#s(approx (log (- (exp a) -1)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))))) |
#s(approx (- (exp a) -1) #s(hole binary64 2)) |
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 a))) |
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a)))))) |
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) |
#s(approx (exp a) #s(hole binary64 1)) |
#s(approx (exp a) #s(hole binary64 (+ 1 a))) |
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a)))))) |
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b)))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))) |
#s(approx (+ (* (* a a) 1/2) a) #s(hole binary64 (* a (+ 1 (* 1/2 a))))) |
#s(approx (* a a) #s(hole binary64 (pow a 2))) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (+ 1 (* 1/2 a)))) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))))) |
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (/ b (+ 1 (exp a))))) |
#s(approx (log (- (exp a) -1)) #s(hole binary64 (log (+ 1 (exp a))))) |
#s(approx (- (exp a) -1) #s(hole binary64 (+ 1 (exp a)))) |
#s(approx (exp a) #s(hole binary64 (exp a))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b)))) |
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* 1/2 (pow a 2)))) |
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a))))) |
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2)))))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) #s(hole binary64 (* 1/6 (pow a 3)))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) #s(hole binary64 (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a)))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2))))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (+ (/ 1 (pow a 2)) (* 2 (/ 1 (pow a 3))))))))) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* 1/6 (pow a 2)))) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a)))))) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2))))))) |
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (* 1/6 a))) |
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (* a (+ 1/6 (* 1/2 (/ 1 a)))))) |
#s(approx (+ (* 1/2 a) (log 2)) #s(hole binary64 (* 1/2 a))) |
#s(approx (+ (* 1/2 a) (log 2)) #s(hole binary64 (* a (+ 1/2 (/ (log 2) a))))) |
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a)))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 a) (/ 2 (pow a 2)))) a)) 1/6))))) |
#s(approx (+ (* 1/2 a) (log 2)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (log 2) a)) 1/2))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a)))))))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))) |
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ b (* a (+ 1 (* 1/2 a))))))) |
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b))))))) |
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 94.0ms | a | @ | inf | ((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/ b (- (exp a) -1)) (* 1/2 b) 1/2 b (log (- (exp a) -1)) (- (exp a) -1) (exp a) a -1 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (exp a) -1) 2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (* a a) 1/2) a) (* a a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (exp a) -1) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/6 1 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/ b (- (exp a) -1)) (log (- (exp a) -1)) (+ (* 1/2 a) (log 2)) (log 2)) |
| 16.0ms | a | @ | -inf | ((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/ b (- (exp a) -1)) (* 1/2 b) 1/2 b (log (- (exp a) -1)) (- (exp a) -1) (exp a) a -1 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (exp a) -1) 2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (* a a) 1/2) a) (* a a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (exp a) -1) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/6 1 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/ b (- (exp a) -1)) (log (- (exp a) -1)) (+ (* 1/2 a) (log 2)) (log 2)) |
| 11.0ms | b | @ | inf | ((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/ b (- (exp a) -1)) (* 1/2 b) 1/2 b (log (- (exp a) -1)) (- (exp a) -1) (exp a) a -1 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (exp a) -1) 2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (* a a) 1/2) a) (* a a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (exp a) -1) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/6 1 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/ b (- (exp a) -1)) (log (- (exp a) -1)) (+ (* 1/2 a) (log 2)) (log 2)) |
| 9.0ms | b | @ | -inf | ((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/ b (- (exp a) -1)) (* 1/2 b) 1/2 b (log (- (exp a) -1)) (- (exp a) -1) (exp a) a -1 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (exp a) -1) 2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (* a a) 1/2) a) (* a a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (exp a) -1) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/6 1 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/ b (- (exp a) -1)) (log (- (exp a) -1)) (+ (* 1/2 a) (log 2)) (log 2)) |
| 4.0ms | a | @ | 0 | ((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/ b (- (exp a) -1)) (* 1/2 b) 1/2 b (log (- (exp a) -1)) (- (exp a) -1) (exp a) a -1 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (exp a) -1) 2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (* a a) 1/2) a) (* a a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (exp a) -1) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/6 1 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/ b (- (exp a) -1)) (log (- (exp a) -1)) (+ (* 1/2 a) (log 2)) (log 2)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 347 | 1793 |
| 0 | 372 | 1694 |
| 1 | 2202 | 1693 |
| 0 | 9466 | 1599 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))) |
(+.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))) |
#s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) |
(*.f64 #s(literal 1/2 binary64) b) |
#s(literal 1/2 binary64) |
b |
(log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) |
(-.f64 (exp.f64 a) #s(literal -1 binary64)) |
(exp.f64 a) |
a |
#s(literal -1 binary64) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64)))) |
#s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))) |
#s(approx (- (exp a) -1) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)))) |
#s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a))) |
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)) |
(fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a) |
(*.f64 a a) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))))) |
#s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))) |
#s(approx (- (exp a) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(approx (log (- (exp a) -1)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))) |
(+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(approx (log (- (exp a) -1)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) |
#s(approx (log (- (exp a) -1)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))) |
(log.f64 #s(literal 2 binary64)) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b)))))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log 2) (* 1/2 b)))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b))))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b))))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b))))))) |
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (* 1/2 b))) |
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b)))) |
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b)))))) |
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b)))))) |
#s(approx (log (- (exp a) -1)) #s(hole binary64 (log 2))) |
#s(approx (log (- (exp a) -1)) #s(hole binary64 (+ (log 2) (* 1/2 a)))) |
#s(approx (log (- (exp a) -1)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a)))))) |
#s(approx (log (- (exp a) -1)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))))) |
#s(approx (- (exp a) -1) #s(hole binary64 2)) |
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 a))) |
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a)))))) |
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) |
#s(approx (exp a) #s(hole binary64 1)) |
#s(approx (exp a) #s(hole binary64 (+ 1 a))) |
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a)))))) |
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b)))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))) |
#s(approx (+ (* (* a a) 1/2) a) #s(hole binary64 (* a (+ 1 (* 1/2 a))))) |
#s(approx (* a a) #s(hole binary64 (pow a 2))) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (+ 1 (* 1/2 a)))) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))))) |
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (/ b (+ 1 (exp a))))) |
#s(approx (log (- (exp a) -1)) #s(hole binary64 (log (+ 1 (exp a))))) |
#s(approx (- (exp a) -1) #s(hole binary64 (+ 1 (exp a)))) |
#s(approx (exp a) #s(hole binary64 (exp a))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b)))) |
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* 1/2 (pow a 2)))) |
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a))))) |
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2)))))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) #s(hole binary64 (* 1/6 (pow a 3)))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) #s(hole binary64 (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a)))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2))))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (+ (/ 1 (pow a 2)) (* 2 (/ 1 (pow a 3))))))))) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* 1/6 (pow a 2)))) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a)))))) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2))))))) |
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (* 1/6 a))) |
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (* a (+ 1/6 (* 1/2 (/ 1 a)))))) |
#s(approx (+ (* 1/2 a) (log 2)) #s(hole binary64 (* 1/2 a))) |
#s(approx (+ (* 1/2 a) (log 2)) #s(hole binary64 (* a (+ 1/2 (/ (log 2) a))))) |
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a)))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 a) (/ 2 (pow a 2)))) a)) 1/6))))) |
#s(approx (+ (* 1/2 a) (log 2)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (log 2) a)) 1/2))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a)))))))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))) |
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ b (* a (+ 1 (* 1/2 a))))))) |
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b))))))) |
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b))) (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b))) #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))))) |
(/.f64 (-.f64 (*.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b))) (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b))) #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))))) |
(-.f64 (/.f64 (*.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b))) (-.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))) (/.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))) |
(+.f64 (/.f64 (*.f64 (*.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b))) #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b))) (fma.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))))) (/.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))))) |
(+.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b))) |
(+.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))) |
#s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) |
(*.f64 #s(literal 1/2 binary64) b) |
(*.f64 b #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
b |
(-.f64 (log.f64 (expm1.f64 (+.f64 a a))) (log.f64 (+.f64 (exp.f64 a) #s(literal -1 binary64)))) |
(-.f64 (log.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) #s(literal -1 binary64))) (log.f64 (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64)))))) |
(log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 a a))) (neg.f64 (+.f64 (exp.f64 a) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64)))))) |
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 (exp.f64 a) #s(literal -1 binary64))) |
(/.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64))))) |
(-.f64 (/.f64 (exp.f64 (+.f64 a a)) (+.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64)))))) |
(-.f64 (exp.f64 a) #s(literal -1 binary64)) |
(exp.f64 a) |
(+.f64 (cosh.f64 a) (sinh.f64 a)) |
a |
#s(literal -1 binary64) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64)))) |
#s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))) |
#s(approx (- (exp a) -1) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)))) |
#s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a))) |
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64)) (*.f64 a a)) |
(*.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 a a))) (neg.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) a))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/8 binary64)) (*.f64 (*.f64 a a) a))) (neg.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (-.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) a))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 a a)) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) a)) |
(/.f64 (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/8 binary64)) (*.f64 (*.f64 a a) a)) (fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (-.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) a)))) |
(fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) a) |
(fma.f64 a (*.f64 #s(literal 1/2 binary64) a) a) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) a)) (/.f64 (*.f64 a a) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) a))) |
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(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a)) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
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(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) |
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(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))) |
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
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(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) a)) |
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(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) a) (log.f64 #s(literal 2 binary64))) |
(+.f64 (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(log.f64 #s(literal 2 binary64)) |
#s(approx (log (+ (exp a) (exp b))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
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#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) |
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#s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) |
#s(approx (/ b (- (exp a) -1)) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) b))) |
#s(approx (/ b (- (exp a) -1)) (fma.f64 (-.f64 (neg.f64 (*.f64 (*.f64 b #s(literal 0 binary64)) a)) (*.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) |
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#s(approx (log (- (exp a) -1)) (log.f64 #s(literal 2 binary64))) |
#s(approx (log (- (exp a) -1)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (- (exp a) -1)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))) |
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#s(approx (- (exp a) -1) #s(literal 2 binary64)) |
#s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a)) |
#s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))) |
#s(approx (- (exp a) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))) |
#s(approx (exp a) #s(literal 1 binary64)) |
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) |
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) |
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) |
#s(approx a a) |
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 1 binary64))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 1 binary64))) |
#s(approx (+ (* (* a a) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a)) |
#s(approx (* a a) (*.f64 a a)) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64))) |
#s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* 1/6 a) 1/2) (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))) |
#s(approx (log (+ (exp a) (exp b))) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
#s(approx (/ b (- (exp a) -1)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
#s(approx (log (- (exp a) -1)) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
#s(approx (- (exp a) -1) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
#s(approx (exp a) (exp.f64 a)) |
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 b) (exp.f64 a))) |
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) |
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)) |
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (*.f64 (+.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)) #s(literal 1/2 binary64)) (*.f64 a a))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (*.f64 (*.f64 a a) a))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 a a))) #s(literal 1/6 binary64)) (*.f64 (*.f64 a a) a))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 a a) a)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 1/6 binary64)) (*.f64 (*.f64 a a) a))) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (*.f64 a a))) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 a a))) #s(literal 1/6 binary64)) (*.f64 a a))) |
#s(approx (+ (* 1/6 a) 1/2) (*.f64 #s(literal 1/6 binary64) a)) |
#s(approx (+ (* 1/6 a) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) a)) |
#s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a)) |
#s(approx (+ (* 1/2 a) (log 2)) (*.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) a) #s(literal 1/2 binary64)) a)) |
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a)) #s(literal 1 binary64)) a)) #s(literal 1/2 binary64)) (*.f64 a a))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64)) a)) #s(literal 1/6 binary64)) (*.f64 (*.f64 a a) a)))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 a a))) a)) #s(literal 1/6 binary64)) (*.f64 (*.f64 a a) a)))) |
#s(approx (+ (* 1/2 a) (log 2)) (neg.f64 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) a) #s(literal 1/2 binary64)) a))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 b (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) b) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (-.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) #s(literal 1/2 binary64))) b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
#s(approx b b) |
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64))) |
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a b) #s(literal 2 binary64))) |
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a)) #s(literal 2 binary64))) |
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a)) #s(literal 2 binary64))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (*.f64 (+.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b)) |
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b))) |
Compiled 3 108 to 1 263 computations (59.4% saved)
32 alts after pruning (21 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 197 | 8 | 205 |
| Fresh | 2 | 13 | 15 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 6 | 6 |
| Total | 199 | 32 | 231 |
| Status | Accuracy | Program |
|---|---|---|
| 0.0% | (-.f64 (log.f64 (-.f64 (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) (exp.f64 (+.f64 b b)))) (log.f64 (-.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))) | |
| 47.6% | (log.f64 (/.f64 (fma.f64 (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (fma.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (-.f64 (exp.f64 (+.f64 b b)) (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))))) | |
| ✓ | 53.6% | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| ▶ | 51.9% | (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))) |
| ✓ | 47.6% | (log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))) |
| 47.0% | (log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) | |
| ✓ | 49.3% | (log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64)))) |
| 49.3% | (log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) | |
| ✓ | 49.9% | (log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) |
| 21.2% | (log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (exp.f64 b) a)) #s(literal 1 binary64)) a)) #s(literal 1/2 binary64)) (*.f64 a a))) #s(literal -1 binary64)))) | |
| ✓ | 1.8% | (log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)))) |
| 2.1% | (log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))))) | |
| ✓ | 46.8% | (log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))))) |
| 46.5% | (log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) (*.f64 #s(literal 1/6 binary64) a)) a #s(literal 1 binary64)) a #s(literal 2 binary64))))) | |
| 48.3% | (log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))))) | |
| ▶ | 46.0% | (log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a #s(literal 2 binary64))))) |
| ▶ | 46.5% | (log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a)))) |
| ▶ | 0.5% | (log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (*.f64 (*.f64 a a) a)))))) |
| 0.2% | (log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64)))))) | |
| ✓ | 48.3% | (log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64)))) |
| 48.3% | #s(approx (log (+ (exp a) (exp b))) (/.f64 (+.f64 (pow.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))))))) | |
| ✓ | 98.9% | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))) |
| ✓ | 48.2% | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(approx (log (- (exp a) -1)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))) |
| 49.1% | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(approx (log (- (exp a) -1)) (log.f64 #s(literal 2 binary64))))) | |
| 3.4% | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(approx (log (- (exp a) -1)) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))) | |
| 48.2% | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(approx (log (- (exp a) -1)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))) | |
| 48.2% | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b #s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))) #s(approx (log (- (exp a) -1)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))) | |
| ✓ | 48.9% | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))) |
| 48.1% | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))) (log.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))) | |
| ✓ | 57.3% | #s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))) |
| ▶ | 48.9% | #s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ a (- (exp b) -1)) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) a))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))) |
| 48.9% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
Compiled 1 081 to 954 computations (11.7% saved)
| Inputs |
|---|
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))) |
(+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))) |
(exp.f64 a) |
a |
#s(approx (exp b) (-.f64 b #s(literal -1 binary64))) |
(-.f64 b #s(literal -1 binary64)) |
b |
#s(literal -1 binary64) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a)))) |
#s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))) |
#s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a)) |
(+.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a #s(literal 2 binary64))))) |
#s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a #s(literal 2 binary64)))) |
#s(approx (- (exp a) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a #s(literal 2 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a #s(literal 2 binary64)) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 a a) #s(literal 1/6 binary64)) |
(*.f64 a a) |
#s(literal 1/6 binary64) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (*.f64 (*.f64 a a) a)))))) |
#s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (*.f64 (*.f64 a a) a))))) |
#s(approx (- (exp a) -1) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (*.f64 (*.f64 a a) a)))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (*.f64 (*.f64 a a) a))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (*.f64 (*.f64 a a) a)) |
(+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 a a) a) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ a (- (exp b) -1)) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) a))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))) |
(+.f64 #s(approx (/ a (- (exp b) -1)) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) a))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))) |
#s(approx (/ a (- (exp b) -1)) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) a))) |
(fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) a)) |
(*.f64 b a) |
#s(literal -1/4 binary64) |
(*.f64 #s(literal 1/2 binary64) a) |
(log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) |
(-.f64 (exp.f64 b) #s(literal -1 binary64)) |
(exp.f64 b) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b)))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b)))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))) |
#s(approx (exp a) #s(hole binary64 1)) |
#s(approx (exp a) #s(hole binary64 (+ 1 a))) |
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a)))))) |
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (- (exp a) -1) #s(hole binary64 2)) |
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 a))) |
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a)))))) |
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (+ 1 (* 1/2 a)))) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
#s(approx (* (* a a) 1/6) #s(hole binary64 (* 1/6 (pow a 2)))) |
#s(approx (* a a) #s(hole binary64 (pow a 2))) |
#s(approx (* (+ (/ 1/2 a) 1/6) (* (* a a) a)) #s(hole binary64 (* 1/2 (pow a 2)))) |
#s(approx (* (+ (/ 1/2 a) 1/6) (* (* a a) a)) #s(hole binary64 (* (pow a 2) (+ 1/2 (* 1/6 a))))) |
#s(approx (+ (/ 1/2 a) 1/6) #s(hole binary64 (/ 1/2 a))) |
#s(approx (+ (/ 1/2 a) 1/6) #s(hole binary64 (/ (+ 1/2 (* 1/6 a)) a))) |
#s(approx (* (* a a) a) #s(hole binary64 (pow a 3))) |
#s(approx (/ a (- (exp b) -1)) #s(hole binary64 (/ a (+ 1 (exp b))))) |
#s(approx (+ (* (* b a) -1/4) (* 1/2 a)) #s(hole binary64 (* a (+ 1/2 (* -1/4 b))))) |
#s(approx (* b a) #s(hole binary64 (* a b))) |
#s(approx (* 1/2 a) #s(hole binary64 (* 1/2 a))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b)))) |
#s(approx (exp a) #s(hole binary64 (exp a))) |
#s(approx (- (exp a) -1) #s(hole binary64 (+ 1 (exp a)))) |
#s(approx (+ 2 a) #s(hole binary64 (* a (+ 1 (* 2 (/ 1 a)))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) #s(hole binary64 (* 1/6 (pow a 3)))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) #s(hole binary64 (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a)))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2))))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (+ (/ 1 (pow a 2)) (* 2 (/ 1 (pow a 3))))))))) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a)))))) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2))))))) |
#s(approx (+ (/ 1/2 a) 1/6) #s(hole binary64 1/6)) |
#s(approx (+ (/ 1/2 a) 1/6) #s(hole binary64 (+ 1/6 (* 1/2 (/ 1 a))))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) #s(hole binary64 (* a (+ (/ 1 (+ 1 (exp b))) (/ (log (+ 1 (exp b))) a))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 a) (/ 2 (pow a 2)))) a)) 1/6))))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) #s(hole binary64 (* -1 (* a (- (* -1 (/ (log (+ 1 (exp b))) a)) (/ 1 (+ 1 (exp b)))))))) |
#s(approx (+ (* (* b a) -1/4) (* 1/2 a)) #s(hole binary64 (* -1 (* a (- (* 1/4 b) 1/2))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a)))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))) |
#s(approx (exp b) #s(hole binary64 (+ 1 b))) |
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b)))))) |
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) #s(hole binary64 (+ (log 2) (* 1/2 a)))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 a) (* b (- 1/2 (* 1/4 a))))))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 a) (* b (- (+ 1/2 (* b (- 1/8 (+ (* -1/8 a) (* 1/8 a))))) (* 1/4 a))))))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 a) (* b (- (+ 1/2 (* b (- (+ 1/8 (* -1 (* b (+ (* -1/2 (+ (* -1/8 a) (* 1/8 a))) (+ (* -1/16 a) (* 1/24 a)))))) (+ (* -1/8 a) (* 1/8 a))))) (* 1/4 a))))))) |
#s(approx (/ a (- (exp b) -1)) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 a)))) |
#s(approx (/ a (- (exp b) -1)) #s(hole binary64 (+ (* 1/2 a) (* b (- (* -1 (* b (+ (* -1/8 a) (* 1/8 a)))) (* 1/4 a)))))) |
#s(approx (/ a (- (exp b) -1)) #s(hole binary64 (+ (* 1/2 a) (* b (- (* b (- (* -1 (* b (+ (* -1/2 (+ (* -1/8 a) (* 1/8 a))) (+ (* -1/16 a) (* 1/24 a))))) (+ (* -1/8 a) (* 1/8 a)))) (* 1/4 a)))))) |
#s(approx (log (- (exp b) -1)) #s(hole binary64 (log 2))) |
#s(approx (log (- (exp b) -1)) #s(hole binary64 (+ (log 2) (* 1/2 b)))) |
#s(approx (log (- (exp b) -1)) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b)))))) |
#s(approx (log (- (exp b) -1)) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))))))) |
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b))) |
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b)))))) |
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) |
#s(approx (exp b) #s(hole binary64 (exp b))) |
#s(approx (- b -1) #s(hole binary64 (* b (+ 1 (/ 1 b))))) |
#s(approx (+ (* (* b a) -1/4) (* 1/2 a)) #s(hole binary64 (* -1/4 (* a b)))) |
#s(approx (+ (* (* b a) -1/4) (* 1/2 a)) #s(hole binary64 (* b (+ (* -1/4 a) (* 1/2 (/ a b)))))) |
#s(approx (+ (* (* b a) -1/4) (* 1/2 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ a b)) (* 1/4 a)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 40.0ms | b | @ | -inf | ((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) (- b -1) b -1 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (exp a) -1) (+ 2 a) 2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (exp a) -1) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (+ (* (+ (* 1/6 a) 1/2) a) 1) (* (* a a) 1/6) (* a a) 1/6 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (exp a) -1) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (* (+ (/ 1/2 a) 1/6) (* (* a a) a)) (+ (/ 1/2 a) 1/6) (/ 1/2 a) 1/2 (* (* a a) a) (log (+ (exp a) (exp b))) (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (/ a (- (exp b) -1)) (+ (* (* b a) -1/4) (* 1/2 a)) (* b a) -1/4 (* 1/2 a) (log (- (exp b) -1)) (- (exp b) -1) (exp b)) |
| 20.0ms | a | @ | -inf | ((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) (- b -1) b -1 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (exp a) -1) (+ 2 a) 2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (exp a) -1) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (+ (* (+ (* 1/6 a) 1/2) a) 1) (* (* a a) 1/6) (* a a) 1/6 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (exp a) -1) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (* (+ (/ 1/2 a) 1/6) (* (* a a) a)) (+ (/ 1/2 a) 1/6) (/ 1/2 a) 1/2 (* (* a a) a) (log (+ (exp a) (exp b))) (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (/ a (- (exp b) -1)) (+ (* (* b a) -1/4) (* 1/2 a)) (* b a) -1/4 (* 1/2 a) (log (- (exp b) -1)) (- (exp b) -1) (exp b)) |
| 14.0ms | b | @ | inf | ((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) (- b -1) b -1 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (exp a) -1) (+ 2 a) 2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (exp a) -1) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (+ (* (+ (* 1/6 a) 1/2) a) 1) (* (* a a) 1/6) (* a a) 1/6 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (exp a) -1) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (* (+ (/ 1/2 a) 1/6) (* (* a a) a)) (+ (/ 1/2 a) 1/6) (/ 1/2 a) 1/2 (* (* a a) a) (log (+ (exp a) (exp b))) (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (/ a (- (exp b) -1)) (+ (* (* b a) -1/4) (* 1/2 a)) (* b a) -1/4 (* 1/2 a) (log (- (exp b) -1)) (- (exp b) -1) (exp b)) |
| 11.0ms | a | @ | inf | ((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) (- b -1) b -1 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (exp a) -1) (+ 2 a) 2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (exp a) -1) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (+ (* (+ (* 1/6 a) 1/2) a) 1) (* (* a a) 1/6) (* a a) 1/6 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (exp a) -1) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (* (+ (/ 1/2 a) 1/6) (* (* a a) a)) (+ (/ 1/2 a) 1/6) (/ 1/2 a) 1/2 (* (* a a) a) (log (+ (exp a) (exp b))) (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (/ a (- (exp b) -1)) (+ (* (* b a) -1/4) (* 1/2 a)) (* b a) -1/4 (* 1/2 a) (log (- (exp b) -1)) (- (exp b) -1) (exp b)) |
| 4.0ms | a | @ | 0 | ((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) (- b -1) b -1 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (exp a) -1) (+ 2 a) 2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (exp a) -1) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (+ (* (+ (* 1/6 a) 1/2) a) 1) (* (* a a) 1/6) (* a a) 1/6 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (exp a) -1) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (* (+ (/ 1/2 a) 1/6) (* (* a a) a)) (+ (/ 1/2 a) 1/6) (/ 1/2 a) 1/2 (* (* a a) a) (log (+ (exp a) (exp b))) (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (/ a (- (exp b) -1)) (+ (* (* b a) -1/4) (* 1/2 a)) (* b a) -1/4 (* 1/2 a) (log (- (exp b) -1)) (- (exp b) -1) (exp b)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 368 | 1924 |
| 0 | 398 | 1824 |
| 1 | 2220 | 1822 |
| 0 | 9098 | 1685 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))) |
(+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))) |
(exp.f64 a) |
a |
#s(approx (exp b) (-.f64 b #s(literal -1 binary64))) |
(-.f64 b #s(literal -1 binary64)) |
b |
#s(literal -1 binary64) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a)))) |
#s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))) |
#s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a)) |
(+.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a #s(literal 2 binary64))))) |
#s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a #s(literal 2 binary64)))) |
#s(approx (- (exp a) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a #s(literal 2 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a #s(literal 2 binary64)) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 a a) #s(literal 1/6 binary64)) |
(*.f64 a a) |
#s(literal 1/6 binary64) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (*.f64 (*.f64 a a) a)))))) |
#s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (*.f64 (*.f64 a a) a))))) |
#s(approx (- (exp a) -1) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (*.f64 (*.f64 a a) a)))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (*.f64 (*.f64 a a) a))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (*.f64 (*.f64 a a) a)) |
(+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 a a) a) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ a (- (exp b) -1)) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) a))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))) |
(+.f64 #s(approx (/ a (- (exp b) -1)) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) a))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))) |
#s(approx (/ a (- (exp b) -1)) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) a))) |
(fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) a)) |
(*.f64 b a) |
#s(literal -1/4 binary64) |
(*.f64 #s(literal 1/2 binary64) a) |
(log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) |
(-.f64 (exp.f64 b) #s(literal -1 binary64)) |
(exp.f64 b) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b)))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b)))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))) |
#s(approx (exp a) #s(hole binary64 1)) |
#s(approx (exp a) #s(hole binary64 (+ 1 a))) |
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a)))))) |
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (- (exp a) -1) #s(hole binary64 2)) |
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 a))) |
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a)))))) |
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (+ 1 (* 1/2 a)))) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
#s(approx (* (* a a) 1/6) #s(hole binary64 (* 1/6 (pow a 2)))) |
#s(approx (* a a) #s(hole binary64 (pow a 2))) |
#s(approx (* (+ (/ 1/2 a) 1/6) (* (* a a) a)) #s(hole binary64 (* 1/2 (pow a 2)))) |
#s(approx (* (+ (/ 1/2 a) 1/6) (* (* a a) a)) #s(hole binary64 (* (pow a 2) (+ 1/2 (* 1/6 a))))) |
#s(approx (+ (/ 1/2 a) 1/6) #s(hole binary64 (/ 1/2 a))) |
#s(approx (+ (/ 1/2 a) 1/6) #s(hole binary64 (/ (+ 1/2 (* 1/6 a)) a))) |
#s(approx (* (* a a) a) #s(hole binary64 (pow a 3))) |
#s(approx (/ a (- (exp b) -1)) #s(hole binary64 (/ a (+ 1 (exp b))))) |
#s(approx (+ (* (* b a) -1/4) (* 1/2 a)) #s(hole binary64 (* a (+ 1/2 (* -1/4 b))))) |
#s(approx (* b a) #s(hole binary64 (* a b))) |
#s(approx (* 1/2 a) #s(hole binary64 (* 1/2 a))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b)))) |
#s(approx (exp a) #s(hole binary64 (exp a))) |
#s(approx (- (exp a) -1) #s(hole binary64 (+ 1 (exp a)))) |
#s(approx (+ 2 a) #s(hole binary64 (* a (+ 1 (* 2 (/ 1 a)))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) #s(hole binary64 (* 1/6 (pow a 3)))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) #s(hole binary64 (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a)))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2))))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (+ (/ 1 (pow a 2)) (* 2 (/ 1 (pow a 3))))))))) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a)))))) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2))))))) |
#s(approx (+ (/ 1/2 a) 1/6) #s(hole binary64 1/6)) |
#s(approx (+ (/ 1/2 a) 1/6) #s(hole binary64 (+ 1/6 (* 1/2 (/ 1 a))))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) #s(hole binary64 (* a (+ (/ 1 (+ 1 (exp b))) (/ (log (+ 1 (exp b))) a))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 a) (/ 2 (pow a 2)))) a)) 1/6))))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) #s(hole binary64 (* -1 (* a (- (* -1 (/ (log (+ 1 (exp b))) a)) (/ 1 (+ 1 (exp b)))))))) |
#s(approx (+ (* (* b a) -1/4) (* 1/2 a)) #s(hole binary64 (* -1 (* a (- (* 1/4 b) 1/2))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a)))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))) |
#s(approx (exp b) #s(hole binary64 (+ 1 b))) |
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b)))))) |
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) #s(hole binary64 (+ (log 2) (* 1/2 a)))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 a) (* b (- 1/2 (* 1/4 a))))))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 a) (* b (- (+ 1/2 (* b (- 1/8 (+ (* -1/8 a) (* 1/8 a))))) (* 1/4 a))))))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 a) (* b (- (+ 1/2 (* b (- (+ 1/8 (* -1 (* b (+ (* -1/2 (+ (* -1/8 a) (* 1/8 a))) (+ (* -1/16 a) (* 1/24 a)))))) (+ (* -1/8 a) (* 1/8 a))))) (* 1/4 a))))))) |
#s(approx (/ a (- (exp b) -1)) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 a)))) |
#s(approx (/ a (- (exp b) -1)) #s(hole binary64 (+ (* 1/2 a) (* b (- (* -1 (* b (+ (* -1/8 a) (* 1/8 a)))) (* 1/4 a)))))) |
#s(approx (/ a (- (exp b) -1)) #s(hole binary64 (+ (* 1/2 a) (* b (- (* b (- (* -1 (* b (+ (* -1/2 (+ (* -1/8 a) (* 1/8 a))) (+ (* -1/16 a) (* 1/24 a))))) (+ (* -1/8 a) (* 1/8 a)))) (* 1/4 a)))))) |
#s(approx (log (- (exp b) -1)) #s(hole binary64 (log 2))) |
#s(approx (log (- (exp b) -1)) #s(hole binary64 (+ (log 2) (* 1/2 b)))) |
#s(approx (log (- (exp b) -1)) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b)))))) |
#s(approx (log (- (exp b) -1)) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))))))) |
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b))) |
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b)))))) |
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) |
#s(approx (exp b) #s(hole binary64 (exp b))) |
#s(approx (- b -1) #s(hole binary64 (* b (+ 1 (/ 1 b))))) |
#s(approx (+ (* (* b a) -1/4) (* 1/2 a)) #s(hole binary64 (* -1/4 (* a b)))) |
#s(approx (+ (* (* b a) -1/4) (* 1/2 a)) #s(hole binary64 (* b (+ (* -1/4 a) (* 1/2 (/ a b)))))) |
#s(approx (+ (* (* b a) -1/4) (* 1/2 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ a b)) (* 1/4 a)))))) |
| Outputs |
|---|
(-.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (*.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))) (log.f64 (-.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))) |
(-.f64 (log.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (*.f64 (*.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))) (log.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (*.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))) (*.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))))) |
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (*.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))) (neg.f64 (-.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (*.f64 (*.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))) (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (*.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))) (*.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))))) |
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (*.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))) (-.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (*.f64 (*.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (*.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))) (*.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))))) |
(-.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))) (/.f64 (*.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))) (-.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))) |
(+.f64 (/.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (*.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))) (*.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))))) (/.f64 (*.f64 (*.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (*.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))) (*.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))))) |
(+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))) |
(+.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))) (exp.f64 a)) |
(exp.f64 a) |
(+.f64 (cosh.f64 a) (sinh.f64 a)) |
a |
#s(approx (exp b) (-.f64 b #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 (*.f64 b b) #s(literal 1 binary64))) (neg.f64 (+.f64 b #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 b b) b) #s(literal -1 binary64))) (neg.f64 (fma.f64 b b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (*.f64 b b) #s(literal 1 binary64)) (+.f64 b #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 b b) b) #s(literal -1 binary64)) (fma.f64 b b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1 binary64))))) |
(-.f64 (/.f64 (*.f64 b b) (+.f64 b #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal -1 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 b b) b) (fma.f64 b b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 b b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1 binary64)))))) |
(-.f64 b #s(literal -1 binary64)) |
b |
#s(literal -1 binary64) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a)))) |
#s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))) |
#s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a)) |
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 a a))) (neg.f64 (-.f64 #s(literal 2 binary64) a))) |
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 a a) a))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal 2 binary64) a))))) |
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 a a)) (-.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 a a) a)) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal 2 binary64) a)))) |
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 a a) (-.f64 #s(literal 2 binary64) a))) |
(+.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal 2 binary64) a)))) (/.f64 (*.f64 (*.f64 a a) a) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal 2 binary64) a))))) |
(+.f64 #s(literal 2 binary64) a) |
(+.f64 a #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a #s(literal 2 binary64))))) |
#s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a #s(literal 2 binary64)))) |
#s(approx (- (exp a) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a #s(literal 2 binary64))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a) (*.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a)) #s(literal 4 binary64))) (neg.f64 (-.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a) (*.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a) (*.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a) #s(literal 2 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a) (*.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a) #s(literal 2 binary64))))) |
(fma.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a #s(literal 2 binary64)) |
(fma.f64 a #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) #s(literal 2 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a) (*.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a)) (-.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a) (*.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a) #s(literal 2 binary64))))) (/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a) (*.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a) #s(literal 2 binary64)))))) |
(+.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a) #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) (*.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a)) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 a a) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 a a)) |
(*.f64 a (*.f64 #s(literal 1/6 binary64) a)) |
(*.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a))) |
(*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a))) |
(*.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a))) |
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a))) |
(*.f64 (fabs.f64 a) (fabs.f64 a)) |
(*.f64 (neg.f64 a) (neg.f64 a)) |
(*.f64 a a) |
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 a) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 a) #s(literal 2 binary64)) |
(pow.f64 (*.f64 a a) #s(literal 1 binary64)) |
(pow.f64 a #s(literal 2 binary64)) |
(fabs.f64 (*.f64 a a)) |
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))) |
#s(literal 1/6 binary64) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (*.f64 (*.f64 (*.f64 a a) a) (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64))))))) |
#s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (*.f64 (*.f64 (*.f64 a a) a) (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)))))) |
#s(approx (- (exp a) -1) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (*.f64 (*.f64 (*.f64 a a) a) (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (*.f64 (*.f64 (*.f64 a a) a) (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (*.f64 a a)) a) |
(*.f64 (*.f64 (*.f64 a a) a) (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (*.f64 (*.f64 a a) a)) |
(fma.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 a a) a) (/.f64 #s(literal 1/2 binary64) a))) |
(fma.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 (*.f64 a a) a))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 (*.f64 a a) a) (/.f64 #s(literal 1/2 binary64) a))) |
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(pow.f64 (*.f64 a a) #s(literal 3/2 binary64)) |
(pow.f64 a #s(literal 3 binary64)) |
(exp.f64 (*.f64 (log.f64 a) #s(literal 3 binary64))) |
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(*.f64 b a) |
(*.f64 a b) |
#s(literal -1/4 binary64) |
(*.f64 #s(literal 1/2 binary64) a) |
(*.f64 a #s(literal 1/2 binary64)) |
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(-.f64 (exp.f64 b) #s(literal -1 binary64)) |
(exp.f64 b) |
(+.f64 (cosh.f64 b) (sinh.f64 b)) |
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#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 a (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) a) (-.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) #s(literal 3 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 1 binary64))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 1 binary64))) |
#s(approx (exp a) #s(literal 1 binary64)) |
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) |
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) |
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) |
#s(approx a a) |
#s(approx (- (exp a) -1) #s(literal 2 binary64)) |
#s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a)) |
#s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))) |
#s(approx (- (exp a) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64))) |
#s(approx (* (* a a) 1/6) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) |
#s(approx (* a a) (*.f64 a a)) |
#s(approx (* (+ (/ 1/2 a) 1/6) (* (* a a) a)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) |
#s(approx (* (+ (/ 1/2 a) 1/6) (* (* a a) a)) (*.f64 (*.f64 a a) (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)))) |
#s(approx (+ (/ 1/2 a) 1/6) (/.f64 #s(literal 1/2 binary64) a)) |
#s(approx (+ (/ 1/2 a) 1/6) (/.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a)) |
#s(approx (* (* a a) a) (*.f64 (*.f64 a a) a)) |
#s(approx (/ a (- (exp b) -1)) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
#s(approx (+ (* (* b a) -1/4) (* 1/2 a)) (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)) |
#s(approx (* b a) (*.f64 b a)) |
#s(approx (* 1/2 a) (*.f64 #s(literal 1/2 binary64) a)) |
#s(approx (log (+ (exp a) (exp b))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) (exp.f64 b))) |
#s(approx (exp a) (exp.f64 a)) |
#s(approx (- (exp a) -1) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
#s(approx (+ 2 a) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) a)) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (*.f64 (*.f64 (*.f64 a a) a) (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 1/6 binary64)) (*.f64 (*.f64 a a) a))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 a a) a)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 1/6 binary64)) (*.f64 (*.f64 a a) a))) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (*.f64 a a))) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 1/6 binary64)) (*.f64 a a))) |
#s(approx (+ (/ 1/2 a) 1/6) #s(literal 1/6 binary64)) |
#s(approx (+ (/ 1/2 a) 1/6) (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (*.f64 (+.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) a) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a)) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64)) a)) #s(literal 1/6 binary64)) (*.f64 (*.f64 a a) a)))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 a a))) a)) #s(literal 1/6 binary64)) (*.f64 (*.f64 a a) a)))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a))) |
#s(approx (+ (* (* b a) -1/4) (* 1/2 a)) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) b) #s(literal 1/2 binary64)) a))) |
#s(approx (log (+ (exp a) (exp b))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 b (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) b) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (-.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) #s(literal 1/2 binary64))) b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 (exp.f64 a) b) #s(literal 1 binary64))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64))) |
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) |
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) |
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))) |
#s(approx b b) |
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) b (*.f64 #s(literal 1/2 binary64) a)) (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 a #s(literal 0 binary64))) b #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) a)) b (*.f64 #s(literal 1/2 binary64) a)) (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (+.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/8 binary64) (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a #s(literal 0 binary64)) (*.f64 a #s(literal -1/48 binary64))) b)) (*.f64 a #s(literal 0 binary64)))) b #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) a)) b (*.f64 #s(literal 1/2 binary64) a)) (log.f64 #s(literal 2 binary64)))) |
#s(approx (/ a (- (exp b) -1)) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) a))) |
#s(approx (/ a (- (exp b) -1)) (fma.f64 (-.f64 (neg.f64 (*.f64 (*.f64 a #s(literal 0 binary64)) b)) (*.f64 #s(literal 1/4 binary64) a)) b (*.f64 #s(literal 1/2 binary64) a))) |
#s(approx (/ a (- (exp b) -1)) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a #s(literal 0 binary64)) (*.f64 a #s(literal -1/48 binary64))) b)) (*.f64 a #s(literal 0 binary64))) b (*.f64 #s(literal -1/4 binary64) a)) b (*.f64 #s(literal 1/2 binary64) a))) |
#s(approx (log (- (exp b) -1)) (log.f64 #s(literal 2 binary64))) |
#s(approx (log (- (exp b) -1)) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (- (exp b) -1)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (- (exp b) -1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) |
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) |
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))) |
#s(approx (exp b) (exp.f64 b)) |
#s(approx (- b -1) (fma.f64 #s(literal 1 binary64) b #s(literal 1 binary64))) |
#s(approx (+ (* (* b a) -1/4) (* 1/2 a)) (*.f64 (*.f64 b a) #s(literal -1/4 binary64))) |
#s(approx (+ (* (* b a) -1/4) (* 1/2 a)) (*.f64 (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) a)) b)) |
#s(approx (+ (* (* b a) -1/4) (* 1/2 a)) (neg.f64 (*.f64 (fma.f64 (/.f64 a b) #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) b))) |
Compiled 3 054 to 1 357 computations (55.6% saved)
25 alts after pruning (15 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 210 | 8 | 218 |
| Fresh | 9 | 7 | 16 |
| Picked | 3 | 2 | 5 |
| Done | 3 | 8 | 11 |
| Total | 225 | 25 | 250 |
| Status | Accuracy | Program |
|---|---|---|
| 0.0% | (-.f64 (log.f64 (-.f64 (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) (exp.f64 (+.f64 b b)))) (log.f64 (-.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))) | |
| ✓ | 53.6% | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| ✓ | 51.9% | (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))) |
| ✓ | 47.6% | (log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))) |
| ✓ | 49.3% | (log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64)))) |
| 49.3% | (log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) | |
| ✓ | 49.9% | (log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) |
| 21.2% | (log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (exp.f64 b) a)) #s(literal 1 binary64)) a)) #s(literal 1/2 binary64)) (*.f64 a a))) #s(literal -1 binary64)))) | |
| 2.1% | (log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))))) | |
| 48.3% | (log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))))) | |
| ✓ | 46.5% | (log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a)))) |
| 1.7% | (log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (*.f64 #s(approx (+ (/ 1/2 a) 1/6) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (*.f64 a a) a)))))) | |
| 46.4% | (log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(approx (+ 2 a) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) a))))) | |
| ✓ | 48.3% | (log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64)))) |
| 48.3% | #s(approx (log (+ (exp a) (exp b))) (/.f64 (+.f64 (pow.f64 #s(approx (/ a (- (exp b) -1)) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) a))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 #s(approx (/ a (- (exp b) -1)) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) a))) #s(approx (/ a (- (exp b) -1)) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) a))) (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 #s(approx (/ a (- (exp b) -1)) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) a))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))))))) | |
| ✓ | 98.9% | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))) |
| 49.1% | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(approx (log (- (exp a) -1)) (log.f64 #s(literal 2 binary64))))) | |
| ✓ | 48.9% | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))) |
| ✓ | 57.3% | #s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))) |
| 48.8% | #s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ a (- (exp b) -1)) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) a))) (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (+.f64 b b)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64)))))))) | |
| 20.9% | #s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ a (- (exp b) -1)) (/.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 a a) a))) (fma.f64 (*.f64 (*.f64 b a) #s(literal -1/4 binary64)) (*.f64 (*.f64 b a) #s(literal -1/4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 1/2 binary64) a)) (*.f64 (*.f64 (*.f64 b a) #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) a)))))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))) | |
| 48.9% | #s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ a (- (exp b) -1)) #s(approx (+ (* (* b a) -1/4) (* 1/2 a)) (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))) | |
| 49.2% | #s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ a (- (exp b) -1)) #s(approx (+ (* (* b a) -1/4) (* 1/2 a)) (*.f64 (*.f64 b a) #s(literal -1/4 binary64)))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))) | |
| 48.9% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) | |
| 47.8% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
Compiled 1 090 to 756 computations (30.6% saved)
| Inputs |
|---|
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64)))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(approx (+ 2 a) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) a))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))) (log.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (*.f64 #s(approx (+ (/ 1/2 a) 1/6) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (*.f64 a a) a)))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) (*.f64 #s(literal 1/6 binary64) a)) a #s(literal 1 binary64)) a #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(approx (log (- (exp a) -1)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (*.f64 (*.f64 a a) a)))))) |
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(approx (log (- (exp a) -1)) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(approx (log (- (exp a) -1)) (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b #s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))) #s(approx (log (- (exp a) -1)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ a (- (exp b) -1)) #s(approx (+ (* (* b a) -1/4) (* 1/2 a)) (*.f64 (*.f64 b a) #s(literal -1/4 binary64)))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64)))) |
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ a (- (exp b) -1)) #s(approx (+ (* (* b a) -1/4) (* 1/2 a)) (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(approx (log (- (exp a) -1)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b #s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))) (log.f64 #s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ a (- (exp b) -1)) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) a))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (exp.f64 b) a)) #s(literal 1 binary64)) a)) #s(literal 1/2 binary64)) (*.f64 a a))) #s(literal -1 binary64)))) |
(-.f64 (log.f64 (-.f64 (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) (exp.f64 (+.f64 b b)))) (log.f64 (-.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))) |
(log.f64 (/.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (-.f64 (exp.f64 b) (exp.f64 a)))) |
(-.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b)))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ a (- (exp b) -1)) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) a))) (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (+.f64 b b)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64)))))))) |
(log.f64 (/.f64 (fma.f64 (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (fma.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (-.f64 (exp.f64 (+.f64 b b)) (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))))) |
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))) |
(-.f64 (log.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (log.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ a (- (exp b) -1)) (/.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 a a) a))) (fma.f64 (*.f64 (*.f64 b a) #s(literal -1/4 binary64)) (*.f64 (*.f64 b a) #s(literal -1/4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 1/2 binary64) a)) (*.f64 (*.f64 (*.f64 b a) #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) a)))))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (/.f64 (+.f64 (pow.f64 #s(approx (/ a (- (exp b) -1)) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) a))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 #s(approx (/ a (- (exp b) -1)) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) a))) #s(approx (/ a (- (exp b) -1)) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) a))) (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 #s(approx (/ a (- (exp b) -1)) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) a))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))))))) |
#s(approx (log (+ (exp a) (exp b))) (/.f64 (+.f64 (pow.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))))))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))) |
6 calls:
| 32.0ms | b |
| 28.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 12.0ms | a |
| 9.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 9.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 1 | (exp.f64 b) |
| 98.9% | 1 | (exp.f64 a) |
| 98.9% | 1 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 98.9% | 1 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 98.9% | 1 | a |
| 98.9% | 1 | b |
Compiled 17 to 21 computations (-23.5% saved)
| Inputs |
|---|
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64)))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(approx (+ 2 a) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) a))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))) (log.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (*.f64 #s(approx (+ (/ 1/2 a) 1/6) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (*.f64 a a) a)))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) (*.f64 #s(literal 1/6 binary64) a)) a #s(literal 1 binary64)) a #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(approx (log (- (exp a) -1)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (*.f64 (*.f64 a a) a)))))) |
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(approx (log (- (exp a) -1)) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(approx (log (- (exp a) -1)) (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b #s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))) #s(approx (log (- (exp a) -1)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ a (- (exp b) -1)) #s(approx (+ (* (* b a) -1/4) (* 1/2 a)) (*.f64 (*.f64 b a) #s(literal -1/4 binary64)))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64)))) |
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ a (- (exp b) -1)) #s(approx (+ (* (* b a) -1/4) (* 1/2 a)) (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(approx (log (- (exp a) -1)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b #s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))) (log.f64 #s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ a (- (exp b) -1)) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) a))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))) |
6 calls:
| 10.0ms | a |
| 9.0ms | (exp.f64 a) |
| 9.0ms | b |
| 7.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 7.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.3% | 1 | (exp.f64 b) |
| 57.3% | 1 | (exp.f64 a) |
| 57.3% | 1 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 57.3% | 1 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 57.3% | 1 | a |
| 57.3% | 1 | b |
Compiled 17 to 21 computations (-23.5% saved)
| Inputs |
|---|
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64)))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(approx (+ 2 a) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) a))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))) (log.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (*.f64 #s(approx (+ (/ 1/2 a) 1/6) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (*.f64 a a) a)))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) (*.f64 #s(literal 1/6 binary64) a)) a #s(literal 1 binary64)) a #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(approx (log (- (exp a) -1)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (*.f64 (*.f64 a a) a)))))) |
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(approx (log (- (exp a) -1)) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))) |
| Outputs |
|---|
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))) |
6 calls:
| 12.0ms | (exp.f64 b) |
| 8.0ms | b |
| 6.0ms | a |
| 5.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 5.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.9% | 1 | (exp.f64 b) |
| 51.9% | 1 | (exp.f64 a) |
| 51.9% | 1 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 51.9% | 1 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 51.9% | 1 | a |
| 51.9% | 1 | b |
Compiled 17 to 21 computations (-23.5% saved)
| Inputs |
|---|
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64)))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(approx (+ 2 a) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) a))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))) (log.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (*.f64 #s(approx (+ (/ 1/2 a) 1/6) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (*.f64 a a) a)))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) (*.f64 #s(literal 1/6 binary64) a)) a #s(literal 1 binary64)) a #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(approx (log (- (exp a) -1)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (*.f64 (*.f64 a a) a)))))) |
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))) |
| Outputs |
|---|
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) |
6 calls:
| 11.0ms | b |
| 6.0ms | a |
| 4.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 4.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 4.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.9% | 1 | a |
| 51.5% | 2 | b |
| 49.9% | 1 | (exp.f64 a) |
| 49.9% | 1 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 49.9% | 1 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 49.9% | 1 | (exp.f64 b) |
Compiled 17 to 21 computations (-23.5% saved)
| Inputs |
|---|
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64)))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(approx (+ 2 a) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) a))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))) (log.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (*.f64 #s(approx (+ (/ 1/2 a) 1/6) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (*.f64 a a) a)))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) |
| Outputs |
|---|
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) |
2 calls:
| 8.0ms | b |
| 4.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.9% | 1 | a |
| 49.9% | 1 | b |
Compiled 2 to 4 computations (-100% saved)
| Inputs |
|---|
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64)))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(approx (+ 2 a) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) a))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) a #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))) (log.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 2) (*.f64 #s(approx (+ (/ 1/2 a) 1/6) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (*.f64 a a) a)))))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
6 calls:
| 5.0ms | (exp.f64 a) |
| 4.0ms | b |
| 4.0ms | a |
| 3.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 3.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.9% | 1 | (exp.f64 b) |
| 48.9% | 1 | (exp.f64 a) |
| 48.9% | 1 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 48.9% | 1 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 48.9% | 1 | a |
| 48.9% | 1 | b |
Compiled 17 to 21 computations (-23.5% saved)
Total -1.4b remaining (-4.3%)
Threshold costs -1.4b (-4.3%)
| Inputs |
|---|
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
| Outputs |
|---|
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64)))) |
6 calls:
| 1.0ms | a |
| 1.0ms | b |
| 1.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 1.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 1.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.3% | 1 | b |
| 48.3% | 1 | a |
| 48.3% | 1 | (exp.f64 b) |
| 48.3% | 1 | (exp.f64 a) |
| 48.3% | 1 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 48.3% | 1 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
Compiled 17 to 21 computations (-23.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 1.163445456853329e-155 | 4.801682314670241e-150 |
| 15.0ms | 77× | 1 | valid |
| 6.0ms | 67× | 0 | valid |
Compiled 189 to 209 computations (-10.6% saved)
ival-log: 7.0ms (49.7% of total)ival-exp: 5.0ms (35.5% of total)adjust: 1.0ms (7.1% of total)ival-add!: 1.0ms (7.1% of total)| 1× | fuel |
Compiled 64 to 44 computations (31.3% saved)
(sort a b)
Compiled 280 to 240 computations (14.3% saved)
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